TSTP Solution File: SWW666_2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW666_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 20:59:36 EDT 2022
% Result : Theorem 1.80s 1.37s
% Output : Proof 2.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW666_2 : TPTP v8.1.0. Released v6.1.0.
% 0.13/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 20:54:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.35 Usage: tptp [options] [-file:]file
% 0.20/0.35 -h, -? prints this message.
% 0.20/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.35 -m, -model generate model.
% 0.20/0.35 -p, -proof generate proof.
% 0.20/0.35 -c, -core generate unsat core of named formulas.
% 0.20/0.35 -st, -statistics display statistics.
% 0.20/0.35 -t:timeout set timeout (in second).
% 0.20/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.35 -<param>:<value> configuration parameter and value.
% 0.20/0.35 -o:<output-file> file to place output in.
% 1.80/1.37 % SZS status Theorem
% 1.80/1.37 % SZS output start Proof
% 1.80/1.37 tff(tb2t_type, type, (
% 1.80/1.37 tb2t: uni > $int)).
% 1.80/1.37 tff(t2tb_type, type, (
% 1.80/1.37 t2tb: $int > uni)).
% 1.80/1.37 tff(tptp_fun_V_8_type, type, (
% 1.80/1.37 tptp_fun_V_8: ( $int * map_int_int ) > $int)).
% 1.80/1.37 tff(tb2t1_type, type, (
% 1.80/1.37 tb2t1: uni > map_int_int)).
% 1.80/1.37 tff(set_type, type, (
% 1.80/1.37 set: ( ty * ty * uni * uni * uni ) > uni)).
% 1.80/1.37 tff(t2tb1_type, type, (
% 1.80/1.37 t2tb1: map_int_int > uni)).
% 1.80/1.37 tff(tptp_fun_A8_17_type, type, (
% 1.80/1.37 tptp_fun_A8_17: map_int_int)).
% 1.80/1.37 tff(int_type, type, (
% 1.80/1.37 int: ty)).
% 1.80/1.37 tff(get_type, type, (
% 1.80/1.37 get: ( ty * ty * uni * uni ) > uni)).
% 1.80/1.37 tff(tptp_fun_A9_18_type, type, (
% 1.80/1.37 tptp_fun_A9_18: map_int_int)).
% 1.80/1.37 tff(range2_type, type, (
% 1.80/1.37 range2: ( map_int_int * $int ) > $o)).
% 1.80/1.37 tff(injective2_type, type, (
% 1.80/1.37 injective2: ( map_int_int * $int ) > $o)).
% 1.80/1.37 tff(tptp_fun_A7_16_type, type, (
% 1.80/1.37 tptp_fun_A7_16: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A6_15_type, type, (
% 1.80/1.37 tptp_fun_A6_15: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A5_14_type, type, (
% 1.80/1.37 tptp_fun_A5_14: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A4_13_type, type, (
% 1.80/1.37 tptp_fun_A4_13: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A3_12_type, type, (
% 1.80/1.37 tptp_fun_A3_12: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A2_11_type, type, (
% 1.80/1.37 tptp_fun_A2_11: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A1_10_type, type, (
% 1.80/1.37 tptp_fun_A1_10: map_int_int)).
% 1.80/1.37 tff(tptp_fun_A_9_type, type, (
% 1.80/1.37 tptp_fun_A_9: map_int_int)).
% 1.80/1.37 tff(const_type, type, (
% 1.80/1.37 const: ( ty * ty * uni ) > uni)).
% 1.80/1.37 tff(occ1_type, type, (
% 1.80/1.37 occ1: ( ty * uni * uni * $int * $int ) > $int)).
% 1.80/1.37 tff(sort1_type, type, (
% 1.80/1.37 sort1: ( ty * uni ) > $o)).
% 1.80/1.37 tff(tptp_fun_I_5_type, type, (
% 1.80/1.37 tptp_fun_I_5: ( $int * $int * uni * uni * ty ) > $int)).
% 1.80/1.37 tff(tptp_fun_I_4_type, type, (
% 1.80/1.37 tptp_fun_I_4: ( $int * map_int_int ) > $int)).
% 1.80/1.37 tff(tptp_fun_I_6_type, type, (
% 1.80/1.37 tptp_fun_I_6: ( $int * $int * uni * uni * ty ) > $int)).
% 1.80/1.37 tff(1,plain,
% 1.80/1.37 ((3 = 2) <=> $false),
% 1.80/1.37 inference(rewrite,[status(thm)],[])).
% 1.80/1.37 tff(2,plain,
% 1.80/1.37 (((A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))) & ((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))) & (A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(3,plain,
% 1.80/1.38 (((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & ((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(4,plain,
% 1.80/1.38 (((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & ((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(5,plain,
% 1.80/1.38 (((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & ((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(6,plain,
% 1.80/1.38 (((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & ((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(7,plain,
% 1.80/1.38 (((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & ((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(8,plain,
% 1.80/1.38 (((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & ((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(9,plain,
% 1.80/1.38 (((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & ((A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(10,plain,
% 1.80/1.38 (((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) <=> ((A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(11,plain,
% 1.80/1.38 ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) <=> (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(12,plain,
% 1.80/1.38 (((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & ((A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.38 inference(monotonicity,[status(thm)],[11, 10])).
% 1.80/1.38 tff(13,plain,
% 1.80/1.38 (((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.38 inference(transitivity,[status(thm)],[12, 9])).
% 1.80/1.38 tff(14,plain,
% 1.80/1.38 ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) <=> (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0))))),
% 1.80/1.38 inference(rewrite,[status(thm)],[])).
% 1.80/1.38 tff(15,plain,
% 1.80/1.38 (((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))) <=> ((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & ((A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.39 inference(monotonicity,[status(thm)],[14, 13])).
% 1.80/1.39 tff(16,plain,
% 1.80/1.39 (((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))) <=> ((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.39 inference(transitivity,[status(thm)],[15, 8])).
% 1.80/1.39 tff(17,plain,
% 1.80/1.39 ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) <=> (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4))))),
% 1.80/1.39 inference(rewrite,[status(thm)],[])).
% 1.80/1.39 tff(18,plain,
% 1.80/1.39 (((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))) <=> ((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & ((A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.39 inference(monotonicity,[status(thm)],[17, 16])).
% 1.80/1.39 tff(19,plain,
% 1.80/1.39 (((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))) <=> ((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.39 inference(transitivity,[status(thm)],[18, 7])).
% 1.80/1.39 tff(20,plain,
% 1.80/1.39 ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) <=> (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7))))),
% 1.80/1.39 inference(rewrite,[status(thm)],[])).
% 1.80/1.39 tff(21,plain,
% 1.80/1.39 (((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))) <=> ((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & ((A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.39 inference(monotonicity,[status(thm)],[20, 19])).
% 1.80/1.39 tff(22,plain,
% 1.80/1.39 (((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))) <=> ((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.39 inference(transitivity,[status(thm)],[21, 6])).
% 1.80/1.39 tff(23,plain,
% 1.80/1.39 ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) <=> (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2))))),
% 1.80/1.39 inference(rewrite,[status(thm)],[])).
% 1.80/1.39 tff(24,plain,
% 1.80/1.39 (((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))))) <=> ((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & ((A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.39 inference(monotonicity,[status(thm)],[23, 22])).
% 1.80/1.39 tff(25,plain,
% 1.80/1.39 (((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))))) <=> ((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.39 inference(transitivity,[status(thm)],[24, 5])).
% 1.80/1.39 tff(26,plain,
% 1.80/1.39 ((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) <=> (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8))))),
% 1.80/1.39 inference(rewrite,[status(thm)],[])).
% 1.80/1.39 tff(27,plain,
% 1.80/1.39 (((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))))) <=> ((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & ((A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.39 inference(monotonicity,[status(thm)],[26, 25])).
% 1.80/1.39 tff(28,plain,
% 1.80/1.39 (((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))))) <=> ((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.39 inference(transitivity,[status(thm)],[27, 4])).
% 1.80/1.39 tff(29,plain,
% 1.80/1.39 ((~(~(A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))))) <=> (A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3))))),
% 1.80/1.39 inference(rewrite,[status(thm)],[])).
% 1.80/1.39 tff(30,plain,
% 1.80/1.39 (((~(~(A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))))) & ((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))))))) <=> ((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & ((A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.40 inference(monotonicity,[status(thm)],[29, 28])).
% 1.80/1.40 tff(31,plain,
% 1.80/1.40 (((~(~(A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))))) & ((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))))))) <=> ((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.40 inference(transitivity,[status(thm)],[30, 3])).
% 1.80/1.40 tff(32,plain,
% 1.80/1.40 ((~(~(A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))))) <=> (A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))),
% 1.80/1.40 inference(rewrite,[status(thm)],[])).
% 1.80/1.40 tff(33,plain,
% 1.80/1.40 (((~(~(A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))))) & ((~(~(A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))))) & ((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))))))) <=> ((A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))) & ((A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.80/1.40 inference(monotonicity,[status(thm)],[32, 31])).
% 1.80/1.40 tff(34,plain,
% 1.80/1.40 (((~(~(A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))))) & ((~(~(A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))))) & ((~(~(A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))))) & ((~(~(A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))))) & ((~(~(A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))))) & ((~(~(A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))))) & ((~(~(A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))))) & ((~(~(A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))))) & ((~(~(A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))))))))) <=> ((A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))) & (A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.80/1.40 inference(transitivity,[status(thm)],[33, 2])).
% 1.80/1.40 tff(35,plain,
% 1.80/1.40 ((~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))) <=> (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6))))))))))))))))),
% 1.80/1.40 inference(rewrite,[status(thm)],[])).
% 1.80/1.40 tff(36,plain,
% 1.80/1.40 ((~($lesseq(0, 10) => ($lesseq(0, 10) => (($lesseq(0, 0) & $less(0, 10)) => ![A: map_int_int] : (($lesseq(0, 10) & (A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) => (($lesseq(0, 1) & $less(1, 10)) => ![A1: map_int_int] : (($lesseq(0, 10) & (A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) => (($lesseq(0, 2) & $less(2, 10)) => ![A2: map_int_int] : (($lesseq(0, 10) & (A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) => (($lesseq(0, 3) & $less(3, 10)) => ![A3: map_int_int] : (($lesseq(0, 10) & (A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) => (($lesseq(0, 4) & $less(4, 10)) => ![A4: map_int_int] : (($lesseq(0, 10) & (A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) => (($lesseq(0, 5) & $less(5, 10)) => ![A5: map_int_int] : (($lesseq(0, 10) & (A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) => (($lesseq(0, 6) & $less(6, 10)) => ![A6: map_int_int] : (($lesseq(0, 10) & (A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) => (($lesseq(0, 7) & $less(7, 10)) => ![A7: map_int_int] : (($lesseq(0, 10) & (A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) => (($lesseq(0, 8) & $less(8, 10)) => ![A8: map_int_int] : (($lesseq(0, 10) & (A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) => (($lesseq(0, 9) & $less(9, 10)) => ![A9: map_int_int] : (($lesseq(0, 10) & (A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6))))) => (((((((((((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3)) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8)) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2)) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7)) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4)) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0)) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1)) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5)) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6)) => (injective2(A9, 10) & range2(A9, 10)))))))))))))))))))))))))) <=> (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6))))))))))))))))),
% 1.80/1.40 inference(rewrite,[status(thm)],[])).
% 1.80/1.40 tff(37,axiom,(~($lesseq(0, 10) => ($lesseq(0, 10) => (($lesseq(0, 0) & $less(0, 10)) => ![A: map_int_int] : (($lesseq(0, 10) & (A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) => (($lesseq(0, 1) & $less(1, 10)) => ![A1: map_int_int] : (($lesseq(0, 10) & (A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) => (($lesseq(0, 2) & $less(2, 10)) => ![A2: map_int_int] : (($lesseq(0, 10) & (A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) => (($lesseq(0, 3) & $less(3, 10)) => ![A3: map_int_int] : (($lesseq(0, 10) & (A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) => (($lesseq(0, 4) & $less(4, 10)) => ![A4: map_int_int] : (($lesseq(0, 10) & (A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) => (($lesseq(0, 5) & $less(5, 10)) => ![A5: map_int_int] : (($lesseq(0, 10) & (A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) => (($lesseq(0, 6) & $less(6, 10)) => ![A6: map_int_int] : (($lesseq(0, 10) & (A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) => (($lesseq(0, 7) & $less(7, 10)) => ![A7: map_int_int] : (($lesseq(0, 10) & (A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) => (($lesseq(0, 8) & $less(8, 10)) => ![A8: map_int_int] : (($lesseq(0, 10) & (A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) => (($lesseq(0, 9) & $less(9, 10)) => ![A9: map_int_int] : (($lesseq(0, 10) & (A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6))))) => (((((((((((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3)) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8)) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2)) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7)) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4)) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0)) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1)) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5)) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6)) => (injective2(A9, 10) & range2(A9, 10)))))))))))))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','wP_parameter_test')).
% 1.80/1.40 tff(38,plain,
% 1.80/1.40 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 1.80/1.40 tff(39,plain,
% 1.80/1.40 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.40 inference(modus_ponens,[status(thm)],[38, 35])).
% 1.80/1.40 tff(40,plain,
% 1.80/1.40 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.40 inference(modus_ponens,[status(thm)],[39, 35])).
% 1.80/1.40 tff(41,plain,
% 1.80/1.40 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.40 inference(modus_ponens,[status(thm)],[40, 35])).
% 1.80/1.40 tff(42,plain,
% 1.80/1.40 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[41, 35])).
% 1.80/1.41 tff(43,plain,
% 1.80/1.41 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[42, 35])).
% 1.80/1.41 tff(44,plain,
% 1.80/1.41 (~![A: map_int_int] : ((~(A = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9))))) | ![A1: map_int_int] : ((~(A1 = tb2t1(set(int, int, t2tb1(A), t2tb(1), t2tb(3))))) | ![A2: map_int_int] : ((~(A2 = tb2t1(set(int, int, t2tb1(A1), t2tb(2), t2tb(8))))) | ![A3: map_int_int] : ((~(A3 = tb2t1(set(int, int, t2tb1(A2), t2tb(3), t2tb(2))))) | ![A4: map_int_int] : ((~(A4 = tb2t1(set(int, int, t2tb1(A3), t2tb(4), t2tb(7))))) | ![A5: map_int_int] : ((~(A5 = tb2t1(set(int, int, t2tb1(A4), t2tb(5), t2tb(4))))) | ![A6: map_int_int] : ((~(A6 = tb2t1(set(int, int, t2tb1(A5), t2tb(6), t2tb(0))))) | ![A7: map_int_int] : ((~(A7 = tb2t1(set(int, int, t2tb1(A6), t2tb(7), t2tb(1))))) | ![A8: map_int_int] : ((~(A8 = tb2t1(set(int, int, t2tb1(A7), t2tb(8), t2tb(5))))) | ![A9: map_int_int] : ((injective2(A9, 10) & range2(A9, 10)) | (~((tb2t(get(int, int, t2tb1(A9), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9), t2tb(9))) = 6))) | (~(A9 = tb2t1(set(int, int, t2tb1(A8), t2tb(9), t2tb(6)))))))))))))))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[43, 35])).
% 1.80/1.41 tff(45,plain,
% 1.80/1.41 ((A!9 = tb2t1(set(int, int, const(int, int, t2tb(0)), t2tb(0), t2tb(9)))) & (A1!10 = tb2t1(set(int, int, t2tb1(A!9), t2tb(1), t2tb(3)))) & (A2!11 = tb2t1(set(int, int, t2tb1(A1!10), t2tb(2), t2tb(8)))) & (A3!12 = tb2t1(set(int, int, t2tb1(A2!11), t2tb(3), t2tb(2)))) & (A4!13 = tb2t1(set(int, int, t2tb1(A3!12), t2tb(4), t2tb(7)))) & (A5!14 = tb2t1(set(int, int, t2tb1(A4!13), t2tb(5), t2tb(4)))) & (A6!15 = tb2t1(set(int, int, t2tb1(A5!14), t2tb(6), t2tb(0)))) & (A7!16 = tb2t1(set(int, int, t2tb1(A6!15), t2tb(7), t2tb(1)))) & (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) & (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[44, 34])).
% 1.80/1.41 tff(46,plain,
% 1.80/1.41 (~((injective2(A9!18, 10) & range2(A9!18, 10)) | (~((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6))) | (~(A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(and_elim,[status(thm)],[45])).
% 1.80/1.41 tff(47,plain,
% 1.80/1.41 ((tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5) & (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6)),
% 1.80/1.41 inference(or_elim,[status(thm)],[46])).
% 1.80/1.41 tff(48,plain,
% 1.80/1.41 (tb2t(get(int, int, t2tb1(A9!18), t2tb(3))) = 2),
% 1.80/1.41 inference(and_elim,[status(thm)],[47])).
% 1.80/1.41 tff(49,plain,
% 1.80/1.41 (![J: uni] : (t2tb1(tb2t1(J)) = J) <=> ![J: uni] : (t2tb1(tb2t1(J)) = J)),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(50,plain,
% 1.80/1.41 (![J: uni] : (t2tb1(tb2t1(J)) = J) <=> ![J: uni] : (t2tb1(tb2t1(J)) = J)),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(51,axiom,(![J: uni] : (t2tb1(tb2t1(J)) = J)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bridgeR1')).
% 1.80/1.41 tff(52,plain,
% 1.80/1.41 (![J: uni] : (t2tb1(tb2t1(J)) = J)),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.80/1.41 tff(53,plain,(
% 1.80/1.41 ![J: uni] : (t2tb1(tb2t1(J)) = J)),
% 1.80/1.41 inference(skolemize,[status(sab)],[52])).
% 1.80/1.41 tff(54,plain,
% 1.80/1.41 (![J: uni] : (t2tb1(tb2t1(J)) = J)),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[53, 49])).
% 1.80/1.41 tff(55,plain,
% 1.80/1.41 ((~![J: uni] : (t2tb1(tb2t1(J)) = J)) | (t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))),
% 1.80/1.41 inference(quant_inst,[status(thm)],[])).
% 1.80/1.41 tff(56,plain,
% 1.80/1.41 (t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))),
% 1.80/1.41 inference(unit_resolution,[status(thm)],[55, 54])).
% 1.80/1.41 tff(57,plain,
% 1.80/1.41 (A9!18 = tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))),
% 1.80/1.41 inference(or_elim,[status(thm)],[46])).
% 1.80/1.41 tff(58,plain,
% 1.80/1.41 (t2tb1(A9!18) = t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[57])).
% 1.80/1.41 tff(59,plain,
% 1.80/1.41 (t2tb1(A9!18) = set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))),
% 1.80/1.41 inference(transitivity,[status(thm)],[58, 56])).
% 1.80/1.41 tff(60,plain,
% 1.80/1.41 (get(int, int, t2tb1(A9!18), t2tb(3)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.41 tff(61,plain,
% 1.80/1.41 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 1.80/1.41 inference(symmetry,[status(thm)],[60])).
% 1.80/1.41 tff(62,plain,
% 1.80/1.41 ((1 = 3) <=> $false),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(63,plain,
% 1.80/1.41 (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = 3),
% 1.80/1.41 inference(and_elim,[status(thm)],[47])).
% 1.80/1.41 tff(64,plain,
% 1.80/1.41 (get(int, int, t2tb1(A9!18), t2tb(1)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.41 tff(65,plain,
% 1.80/1.41 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 1.80/1.41 inference(symmetry,[status(thm)],[64])).
% 1.80/1.41 tff(66,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.41 tff(67,plain,
% 1.80/1.41 ((1 = 8) <=> $false),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(68,plain,
% 1.80/1.41 (tb2t(get(int, int, t2tb1(A9!18), t2tb(2))) = 8),
% 1.80/1.41 inference(and_elim,[status(thm)],[47])).
% 1.80/1.41 tff(69,plain,
% 1.80/1.41 (get(int, int, t2tb1(A9!18), t2tb(2)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.41 tff(70,plain,
% 1.80/1.41 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 1.80/1.41 inference(symmetry,[status(thm)],[69])).
% 1.80/1.41 tff(71,plain,
% 1.80/1.41 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2))),
% 1.80/1.41 inference(symmetry,[status(thm)],[66])).
% 1.80/1.41 tff(72,plain,
% 1.80/1.41 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 1.80/1.41 inference(transitivity,[status(thm)],[71, 70])).
% 1.80/1.41 tff(73,plain,
% 1.80/1.41 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[72])).
% 1.80/1.41 tff(74,plain,
% 1.80/1.41 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 8),
% 1.80/1.41 inference(transitivity,[status(thm)],[73, 68])).
% 1.80/1.41 tff(75,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.41 tff(76,plain,
% 1.80/1.41 (get(int, int, t2tb1(A9!18), t2tb(7)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.41 tff(77,plain,
% 1.80/1.41 (get(int, int, t2tb1(A9!18), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.80/1.41 inference(transitivity,[status(thm)],[76, 75])).
% 1.80/1.41 tff(78,plain,
% 1.80/1.41 (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[77])).
% 1.80/1.41 tff(79,plain,
% 1.80/1.41 (tb2t(get(int, int, t2tb1(A9!18), t2tb(7))) = 1),
% 1.80/1.41 inference(and_elim,[status(thm)],[47])).
% 1.80/1.41 tff(80,plain,
% 1.80/1.41 (1 = tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))),
% 1.80/1.41 inference(symmetry,[status(thm)],[79])).
% 1.80/1.41 tff(81,plain,
% 1.80/1.41 (1 = 8),
% 1.80/1.41 inference(transitivity,[status(thm)],[80, 78, 74])).
% 1.80/1.41 tff(82,plain,
% 1.80/1.41 ($false),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[81, 67])).
% 1.80/1.41 tff(83,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.41 tff(84,plain,
% 1.80/1.41 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(unit_resolution,[status(thm)],[83, 66])).
% 1.80/1.41 tff(85,assumption,(~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)), introduced(assumption)).
% 1.80/1.41 tff(86,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 1.80/1.41 tff(87,plain,
% 1.80/1.41 (^[X: $int] : refl(sort1(int, t2tb(X)) <=> sort1(int, t2tb(X)))),
% 1.80/1.41 inference(bind,[status(th)],[])).
% 1.80/1.41 tff(88,plain,
% 1.80/1.41 (![X: $int] : sort1(int, t2tb(X)) <=> ![X: $int] : sort1(int, t2tb(X))),
% 1.80/1.41 inference(quant_intro,[status(thm)],[87])).
% 1.80/1.41 tff(89,plain,
% 1.80/1.41 (![X: $int] : sort1(int, t2tb(X)) <=> ![X: $int] : sort1(int, t2tb(X))),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(90,axiom,(![X: $int] : sort1(int, t2tb(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t2tb_sort')).
% 1.80/1.41 tff(91,plain,
% 1.80/1.41 (![X: $int] : sort1(int, t2tb(X))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[90, 89])).
% 1.80/1.41 tff(92,plain,(
% 1.80/1.41 ![X: $int] : sort1(int, t2tb(X))),
% 1.80/1.41 inference(skolemize,[status(sab)],[91])).
% 1.80/1.41 tff(93,plain,
% 1.80/1.41 (![X: $int] : sort1(int, t2tb(X))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[92, 88])).
% 1.80/1.41 tff(94,plain,
% 1.80/1.41 ((~![X: $int] : sort1(int, t2tb(X))) | sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(quant_inst,[status(thm)],[])).
% 1.80/1.41 tff(95,plain,
% 1.80/1.41 (sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(unit_resolution,[status(thm)],[94, 93])).
% 1.80/1.41 tff(96,plain,
% 1.80/1.41 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : refl(($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)))),
% 1.80/1.41 inference(bind,[status(th)],[])).
% 1.80/1.41 tff(97,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(quant_intro,[status(thm)],[96])).
% 1.80/1.41 tff(98,plain,
% 1.80/1.41 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(trans(monotonicity(rewrite($sum(U, $product(-1, L)) = $sum($product(-1, L), U)), ($lesseq($sum(U, $product(-1, L)), 0) <=> $lesseq($sum($product(-1, L), U), 0))), rewrite($lesseq($sum($product(-1, L), U), 0) <=> $greatereq($sum(L, $product(-1, U)), 0)), ($lesseq($sum(U, $product(-1, L)), 0) <=> $greatereq($sum(L, $product(-1, U)), 0))), (((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $greatereq($sum(L, $product(-1, U)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)))), rewrite(((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $greatereq($sum(L, $product(-1, U)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))), (((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))))),
% 1.80/1.41 inference(bind,[status(th)],[])).
% 1.80/1.41 tff(99,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(quant_intro,[status(thm)],[98])).
% 1.80/1.41 tff(100,plain,
% 1.80/1.41 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite($lesseq(U, L) <=> $lesseq($sum(U, $product(-1, L)), 0)), rewrite((occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) <=> ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0)), (($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V))) <=> ($lesseq($sum(U, $product(-1, L)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0) | (~sort1(A, V))))), rewrite(($lesseq($sum(U, $product(-1, L)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0) | (~sort1(A, V))) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))), (($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V))) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))))),
% 1.80/1.41 inference(bind,[status(th)],[])).
% 1.80/1.41 tff(101,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(quant_intro,[status(thm)],[100])).
% 1.80/1.41 tff(102,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(103,plain,
% 1.80/1.41 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(trans(monotonicity(rewrite($less(L, U) <=> (~$lesseq(U, L))), trans(monotonicity(rewrite((~(get(A, int, M, t2tb($difference(U, 1))) = V)) <=> (~(get(A, int, M, t2tb($sum(-1, U))) = V))), rewrite((occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1))) <=> (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U)))), (((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1)))) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U)))))), rewrite(((~(get(A, int, M, t2tb($sum(-1, U))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U)))) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))), (((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1)))) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U)))))), (($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1))))) <=> ((~$lesseq(U, L)) => ((get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))))), rewrite(((~$lesseq(U, L)) => ((get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))) <=> ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))), (($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1))))) <=> ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U)))))), ((sort1(A, V) => ($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1)))))) <=> (sort1(A, V) => ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))))), rewrite((sort1(A, V) => ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))))) <=> ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))), ((sort1(A, V) => ($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1)))))) <=> ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))))),
% 1.80/1.41 inference(bind,[status(th)],[])).
% 1.80/1.41 tff(104,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => ($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1)))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))),
% 1.80/1.41 inference(quant_intro,[status(thm)],[103])).
% 1.80/1.41 tff(105,axiom,(![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => ($less(L, U) => ((~(get(A, int, M, t2tb($difference(U, 1))) = V)) => (occ1(A, V, M, L, U) = occ1(A, V, M, L, $difference(U, 1))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ_right_no_add')).
% 1.80/1.41 tff(106,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[105, 104])).
% 1.80/1.41 tff(107,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (occ1(A, V, M, L, U) = occ1(A, V, M, L, $sum(-1, U))) | (~sort1(A, V)))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[106, 102])).
% 1.80/1.41 tff(108,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | $lesseq($sum(U, $product(-1, L)), 0) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[107, 101])).
% 1.80/1.41 tff(109,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[108, 99])).
% 1.80/1.41 tff(110,plain,(
% 1.80/1.41 ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(skolemize,[status(sab)],[109])).
% 1.80/1.41 tff(111,plain,
% 1.80/1.41 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))),
% 1.80/1.41 inference(modus_ponens,[status(thm)],[110, 97])).
% 1.80/1.41 tff(112,plain,
% 1.80/1.41 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(113,plain,
% 1.80/1.41 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(114,plain,
% 1.80/1.41 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(115,plain,
% 1.80/1.41 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(116,plain,
% 1.80/1.41 ($greatereq(-8, 0) <=> $false),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(117,plain,
% 1.80/1.41 ($sum(0, -8) = -8),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(118,plain,
% 1.80/1.41 ($product(-1, 8) = -8),
% 1.80/1.41 inference(rewrite,[status(thm)],[])).
% 1.80/1.41 tff(119,plain,
% 1.80/1.41 ($sum(0, $product(-1, 8)) = $sum(0, -8)),
% 1.80/1.41 inference(monotonicity,[status(thm)],[118])).
% 1.80/1.41 tff(120,plain,
% 1.80/1.41 ($sum(0, $product(-1, 8)) = -8),
% 1.80/1.41 inference(transitivity,[status(thm)],[119, 117])).
% 1.80/1.41 tff(121,plain,
% 1.80/1.41 ($greatereq($sum(0, $product(-1, 8)), 0) <=> $greatereq(-8, 0)),
% 1.80/1.41 inference(monotonicity,[status(thm)],[120])).
% 1.80/1.41 tff(122,plain,
% 1.80/1.41 ($greatereq($sum(0, $product(-1, 8)), 0) <=> $false),
% 1.80/1.41 inference(transitivity,[status(thm)],[121, 116])).
% 1.80/1.41 tff(123,plain,
% 1.80/1.41 (($greatereq($sum(0, $product(-1, 8)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))),
% 1.80/1.41 inference(monotonicity,[status(thm)],[122, 115, 114])).
% 1.80/1.41 tff(124,plain,
% 1.80/1.41 (($greatereq($sum(0, $product(-1, 8)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))),
% 1.80/1.41 inference(transitivity,[status(thm)],[123, 113])).
% 1.80/1.41 tff(125,plain,
% 1.80/1.41 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[124])).
% 1.80/1.42 tff(126,plain,
% 1.80/1.42 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0))),
% 1.80/1.42 inference(transitivity,[status(thm)],[125, 112])).
% 1.80/1.42 tff(127,plain,
% 1.80/1.42 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 0))),
% 1.80/1.42 inference(quant_inst,[status(thm)],[])).
% 1.80/1.42 tff(128,plain,
% 1.80/1.42 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)),
% 1.80/1.42 inference(modus_ponens,[status(thm)],[127, 126])).
% 1.80/1.42 tff(129,plain,
% 1.80/1.42 ($false),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[128, 111, 95, 86, 85])).
% 1.80/1.42 tff(130,plain,(($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.42 tff(131,plain,
% 1.80/1.42 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[130, 84])).
% 1.80/1.42 tff(132,plain,
% 1.80/1.42 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.80/1.42 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.42 tff(133,plain,
% 1.80/1.42 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[132, 131])).
% 1.80/1.42 tff(134,plain,
% 1.80/1.42 ((~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0))),
% 1.80/1.42 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.42 tff(135,plain,
% 1.80/1.42 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[134, 133])).
% 1.80/1.42 tff(136,plain,
% 1.80/1.42 ((0 = 8) <=> $false),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(137,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.42 tff(138,plain,
% 1.80/1.42 (get(int, int, t2tb1(A9!18), t2tb(6)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.42 tff(139,plain,
% 1.80/1.42 (get(int, int, t2tb1(A9!18), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.80/1.42 inference(transitivity,[status(thm)],[138, 137])).
% 1.80/1.42 tff(140,plain,
% 1.80/1.42 (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[139])).
% 1.80/1.42 tff(141,plain,
% 1.80/1.42 (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = 0),
% 1.80/1.42 inference(and_elim,[status(thm)],[47])).
% 1.80/1.42 tff(142,plain,
% 1.80/1.42 (0 = tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))),
% 1.80/1.42 inference(symmetry,[status(thm)],[141])).
% 1.80/1.42 tff(143,plain,
% 1.80/1.42 (0 = 8),
% 1.80/1.42 inference(transitivity,[status(thm)],[142, 140, 74])).
% 1.80/1.42 tff(144,plain,
% 1.80/1.42 ($false),
% 1.80/1.42 inference(modus_ponens,[status(thm)],[143, 136])).
% 1.80/1.42 tff(145,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.42 tff(146,plain,
% 1.80/1.42 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[145, 66])).
% 1.80/1.42 tff(147,assumption,(~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)), introduced(assumption)).
% 1.80/1.42 tff(148,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 1.80/1.42 tff(149,plain,
% 1.80/1.42 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(150,plain,
% 1.80/1.42 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(151,plain,
% 1.80/1.42 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(152,plain,
% 1.80/1.42 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(153,plain,
% 1.80/1.42 ($greatereq(-7, 0) <=> $false),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(154,plain,
% 1.80/1.42 ($sum(0, -7) = -7),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(155,plain,
% 1.80/1.42 ($product(-1, 7) = -7),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(156,plain,
% 1.80/1.42 ($sum(0, $product(-1, 7)) = $sum(0, -7)),
% 1.80/1.42 inference(monotonicity,[status(thm)],[155])).
% 1.80/1.42 tff(157,plain,
% 1.80/1.42 ($sum(0, $product(-1, 7)) = -7),
% 1.80/1.42 inference(transitivity,[status(thm)],[156, 154])).
% 1.80/1.42 tff(158,plain,
% 1.80/1.42 ($greatereq($sum(0, $product(-1, 7)), 0) <=> $greatereq(-7, 0)),
% 1.80/1.42 inference(monotonicity,[status(thm)],[157])).
% 1.80/1.42 tff(159,plain,
% 1.80/1.42 ($greatereq($sum(0, $product(-1, 7)), 0) <=> $false),
% 1.80/1.42 inference(transitivity,[status(thm)],[158, 153])).
% 1.80/1.42 tff(160,plain,
% 1.80/1.42 (($greatereq($sum(0, $product(-1, 7)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[159, 152, 151])).
% 1.80/1.42 tff(161,plain,
% 1.80/1.42 (($greatereq($sum(0, $product(-1, 7)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))),
% 1.80/1.42 inference(transitivity,[status(thm)],[160, 150])).
% 1.80/1.42 tff(162,plain,
% 1.80/1.42 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[161])).
% 1.80/1.42 tff(163,plain,
% 1.80/1.42 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0))),
% 1.80/1.42 inference(transitivity,[status(thm)],[162, 149])).
% 1.80/1.42 tff(164,plain,
% 1.80/1.42 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 0))),
% 1.80/1.42 inference(quant_inst,[status(thm)],[])).
% 1.80/1.42 tff(165,plain,
% 1.80/1.42 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.80/1.42 inference(modus_ponens,[status(thm)],[164, 163])).
% 1.80/1.42 tff(166,plain,
% 1.80/1.42 ($false),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[165, 111, 95, 148, 147])).
% 1.80/1.42 tff(167,plain,(($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.42 tff(168,plain,
% 1.80/1.42 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[167, 146])).
% 1.80/1.42 tff(169,plain,
% 1.80/1.42 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.80/1.42 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.42 tff(170,plain,
% 1.80/1.42 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[169, 168])).
% 1.80/1.42 tff(171,plain,
% 1.80/1.42 ((~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0))),
% 1.80/1.42 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.42 tff(172,plain,
% 1.80/1.42 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 1.80/1.42 inference(unit_resolution,[status(thm)],[171, 170])).
% 1.80/1.42 tff(173,plain,
% 1.80/1.42 ((5 = 4) <=> $false),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(174,plain,
% 1.80/1.42 (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = 4),
% 1.80/1.42 inference(and_elim,[status(thm)],[47])).
% 1.80/1.42 tff(175,plain,
% 1.80/1.42 (get(int, int, t2tb1(A9!18), t2tb(5)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.42 tff(176,plain,
% 1.80/1.42 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.80/1.42 inference(symmetry,[status(thm)],[175])).
% 1.80/1.42 tff(177,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.42 tff(178,plain,
% 1.80/1.42 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5))),
% 1.80/1.42 inference(symmetry,[status(thm)],[177])).
% 1.80/1.42 tff(179,plain,
% 1.80/1.42 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.80/1.42 inference(transitivity,[status(thm)],[178, 176])).
% 1.80/1.42 tff(180,plain,
% 1.80/1.42 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[179])).
% 1.80/1.42 tff(181,plain,
% 1.80/1.42 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 4),
% 1.80/1.42 inference(transitivity,[status(thm)],[180, 174])).
% 1.80/1.42 tff(182,assumption,(~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)), introduced(assumption)).
% 1.80/1.42 tff(183,assumption,(~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)), introduced(assumption)).
% 1.80/1.42 tff(184,plain,
% 1.80/1.42 ((6 = 7) <=> $false),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(185,plain,
% 1.80/1.42 (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = 7),
% 1.80/1.42 inference(and_elim,[status(thm)],[47])).
% 1.80/1.42 tff(186,plain,
% 1.80/1.42 (4 = tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.80/1.42 inference(symmetry,[status(thm)],[174])).
% 1.80/1.42 tff(187,plain,
% 1.80/1.42 (t2tb(4) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(5))))),
% 1.80/1.42 inference(monotonicity,[status(thm)],[186])).
% 1.80/1.42 tff(188,plain,
% 1.80/1.42 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))) = t2tb(4)),
% 1.80/1.42 inference(symmetry,[status(thm)],[187])).
% 1.80/1.42 tff(189,plain,
% 1.80/1.42 (![J: uni] : (t2tb(tb2t(J)) = J) <=> ![J: uni] : (t2tb(tb2t(J)) = J)),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(190,plain,
% 1.80/1.42 (![J: uni] : (t2tb(tb2t(J)) = J) <=> ![J: uni] : (t2tb(tb2t(J)) = J)),
% 1.80/1.42 inference(rewrite,[status(thm)],[])).
% 1.80/1.42 tff(191,axiom,(![J: uni] : (t2tb(tb2t(J)) = J)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bridgeR')).
% 1.80/1.42 tff(192,plain,
% 1.80/1.42 (![J: uni] : (t2tb(tb2t(J)) = J)),
% 1.80/1.42 inference(modus_ponens,[status(thm)],[191, 190])).
% 1.80/1.42 tff(193,plain,(
% 1.80/1.43 ![J: uni] : (t2tb(tb2t(J)) = J)),
% 1.80/1.43 inference(skolemize,[status(sab)],[192])).
% 1.80/1.43 tff(194,plain,
% 1.80/1.43 (![J: uni] : (t2tb(tb2t(J)) = J)),
% 1.80/1.43 inference(modus_ponens,[status(thm)],[193, 189])).
% 1.80/1.43 tff(195,plain,
% 1.80/1.43 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))) = get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.80/1.43 inference(quant_inst,[status(thm)],[])).
% 1.80/1.43 tff(196,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[195, 194])).
% 1.80/1.43 tff(197,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(5)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(5))))),
% 1.80/1.43 inference(symmetry,[status(thm)],[196])).
% 1.80/1.43 tff(198,plain,
% 1.80/1.43 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(4)),
% 1.80/1.43 inference(transitivity,[status(thm)],[178, 176, 197, 188])).
% 1.80/1.43 tff(199,plain,
% 1.80/1.43 (t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = t2tb1(A9!18)),
% 1.80/1.43 inference(symmetry,[status(thm)],[58])).
% 1.80/1.43 tff(200,plain,
% 1.80/1.43 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[199, 198])).
% 1.80/1.43 tff(201,plain,
% 1.80/1.43 (set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)) = t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))),
% 1.80/1.43 inference(symmetry,[status(thm)],[56])).
% 1.80/1.43 tff(202,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = 6),
% 1.80/1.43 inference(and_elim,[status(thm)],[47])).
% 1.80/1.43 tff(203,plain,
% 1.80/1.43 (6 = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.80/1.43 inference(symmetry,[status(thm)],[202])).
% 1.80/1.43 tff(204,plain,
% 1.80/1.43 (t2tb(6) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(9))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[203])).
% 1.80/1.43 tff(205,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))) = t2tb(6)),
% 1.80/1.43 inference(symmetry,[status(thm)],[204])).
% 1.80/1.43 tff(206,plain,
% 1.80/1.43 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))) = get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.80/1.43 inference(quant_inst,[status(thm)],[])).
% 1.80/1.43 tff(207,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[206, 194])).
% 1.80/1.43 tff(208,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(9))))),
% 1.80/1.43 inference(symmetry,[status(thm)],[207])).
% 1.80/1.43 tff(209,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(6)),
% 1.80/1.43 inference(transitivity,[status(thm)],[208, 205])).
% 1.80/1.43 tff(210,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = 9),
% 1.80/1.43 inference(and_elim,[status(thm)],[47])).
% 1.80/1.43 tff(211,plain,
% 1.80/1.43 (9 = tb2t(get(int, int, t2tb1(A9!18), t2tb(0)))),
% 1.80/1.43 inference(symmetry,[status(thm)],[210])).
% 1.80/1.43 tff(212,plain,
% 1.80/1.43 (t2tb(9) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(0))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[211])).
% 1.80/1.43 tff(213,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(0)))) = t2tb(9)),
% 1.80/1.43 inference(symmetry,[status(thm)],[212])).
% 1.80/1.43 tff(214,plain,
% 1.80/1.43 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(0)))) = get(int, int, t2tb1(A9!18), t2tb(0)))),
% 1.80/1.43 inference(quant_inst,[status(thm)],[])).
% 1.80/1.43 tff(215,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(0)))) = get(int, int, t2tb1(A9!18), t2tb(0))),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[214, 194])).
% 1.80/1.43 tff(216,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(0))))),
% 1.80/1.43 inference(symmetry,[status(thm)],[215])).
% 1.80/1.43 tff(217,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(9)),
% 1.80/1.43 inference(transitivity,[status(thm)],[216, 213])).
% 1.80/1.43 tff(218,plain,
% 1.80/1.43 (A8!17 = tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))),
% 1.80/1.43 inference(and_elim,[status(thm)],[45])).
% 1.80/1.43 tff(219,plain,
% 1.80/1.43 (t2tb1(A8!17) = t2tb1(tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[218])).
% 1.80/1.43 tff(220,plain,
% 1.80/1.43 (t2tb1(tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) = t2tb1(A8!17)),
% 1.80/1.43 inference(symmetry,[status(thm)],[219])).
% 1.80/1.43 tff(221,plain,
% 1.80/1.43 ((~![J: uni] : (t2tb1(tb2t1(J)) = J)) | (t2tb1(tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) = set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))),
% 1.80/1.43 inference(quant_inst,[status(thm)],[])).
% 1.80/1.43 tff(222,plain,
% 1.80/1.43 (t2tb1(tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)))) = set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5))),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[221, 54])).
% 1.80/1.43 tff(223,plain,
% 1.80/1.43 (set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)) = t2tb1(tb2t1(set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5))))),
% 1.80/1.43 inference(symmetry,[status(thm)],[222])).
% 1.80/1.43 tff(224,plain,
% 1.80/1.43 (set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)) = t2tb1(A8!17)),
% 1.80/1.43 inference(transitivity,[status(thm)],[223, 220])).
% 1.80/1.43 tff(225,plain,
% 1.80/1.43 (set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))) = set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[224, 217, 209])).
% 1.80/1.43 tff(226,plain,
% 1.80/1.43 (set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))) = t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))),
% 1.80/1.43 inference(transitivity,[status(thm)],[225, 201])).
% 1.80/1.43 tff(227,plain,
% 1.80/1.43 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[226])).
% 1.80/1.43 tff(228,plain,
% 1.80/1.43 ((7 = 4) <=> $false),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(229,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.43 tff(230,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(4)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[59])).
% 1.80/1.43 tff(231,plain,
% 1.80/1.43 (get(int, int, t2tb1(A9!18), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.80/1.43 inference(transitivity,[status(thm)],[230, 229])).
% 1.80/1.43 tff(232,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(A9!18), t2tb(4))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[231])).
% 1.80/1.43 tff(233,plain,
% 1.80/1.43 (7 = tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.80/1.43 inference(symmetry,[status(thm)],[185])).
% 1.80/1.43 tff(234,plain,
% 1.80/1.43 (7 = 4),
% 1.80/1.43 inference(transitivity,[status(thm)],[233, 232, 181])).
% 1.80/1.43 tff(235,plain,
% 1.80/1.43 ($false),
% 1.80/1.43 inference(modus_ponens,[status(thm)],[234, 228])).
% 1.80/1.43 tff(236,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.43 tff(237,plain,
% 1.80/1.43 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[236, 177])).
% 1.80/1.43 tff(238,plain,
% 1.80/1.43 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(239,plain,
% 1.80/1.43 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(240,plain,
% 1.80/1.43 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(241,plain,
% 1.80/1.43 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(242,plain,
% 1.80/1.43 ($greatereq(-5, 0) <=> $false),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(243,plain,
% 1.80/1.43 ($sum(0, -5) = -5),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(244,plain,
% 1.80/1.43 ($product(-1, 5) = -5),
% 1.80/1.43 inference(rewrite,[status(thm)],[])).
% 1.80/1.43 tff(245,plain,
% 1.80/1.43 ($sum(0, $product(-1, 5)) = $sum(0, -5)),
% 1.80/1.43 inference(monotonicity,[status(thm)],[244])).
% 1.80/1.43 tff(246,plain,
% 1.80/1.43 ($sum(0, $product(-1, 5)) = -5),
% 1.80/1.43 inference(transitivity,[status(thm)],[245, 243])).
% 1.80/1.43 tff(247,plain,
% 1.80/1.43 ($greatereq($sum(0, $product(-1, 5)), 0) <=> $greatereq(-5, 0)),
% 1.80/1.43 inference(monotonicity,[status(thm)],[246])).
% 1.80/1.43 tff(248,plain,
% 1.80/1.43 ($greatereq($sum(0, $product(-1, 5)), 0) <=> $false),
% 1.80/1.43 inference(transitivity,[status(thm)],[247, 242])).
% 1.80/1.43 tff(249,plain,
% 1.80/1.43 (($greatereq($sum(0, $product(-1, 5)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[248, 241, 240])).
% 1.80/1.43 tff(250,plain,
% 1.80/1.43 (($greatereq($sum(0, $product(-1, 5)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))),
% 1.80/1.43 inference(transitivity,[status(thm)],[249, 239])).
% 1.80/1.43 tff(251,plain,
% 1.80/1.43 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[250])).
% 1.80/1.43 tff(252,plain,
% 1.80/1.43 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0))),
% 1.80/1.43 inference(transitivity,[status(thm)],[251, 238])).
% 1.80/1.43 tff(253,plain,
% 1.80/1.43 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 0))),
% 1.80/1.43 inference(quant_inst,[status(thm)],[])).
% 1.80/1.43 tff(254,plain,
% 1.80/1.43 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)),
% 1.80/1.43 inference(modus_ponens,[status(thm)],[253, 252])).
% 1.80/1.43 tff(255,plain,
% 1.80/1.43 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[254, 111, 95, 237])).
% 1.80/1.43 tff(256,plain,
% 1.80/1.43 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 1.80/1.43 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.43 tff(257,plain,
% 1.80/1.43 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[256, 255])).
% 1.80/1.43 tff(258,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[200])).
% 1.80/1.43 tff(259,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7),
% 1.80/1.43 inference(transitivity,[status(thm)],[258, 185])).
% 1.80/1.43 tff(260,plain,
% 1.80/1.43 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.80/1.43 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.43 tff(261,plain,
% 1.80/1.43 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[260, 259])).
% 1.80/1.43 tff(262,plain,
% 1.80/1.43 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)) | (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5))),
% 1.80/1.43 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.43 tff(263,plain,
% 1.80/1.43 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[262, 261])).
% 1.80/1.43 tff(264,plain,
% 1.80/1.43 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.80/1.43 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.43 tff(265,plain,
% 1.80/1.43 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 1.80/1.43 inference(unit_resolution,[status(thm)],[264, 263])).
% 1.80/1.43 tff(266,plain,
% 1.80/1.43 (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = 5),
% 1.80/1.43 inference(and_elim,[status(thm)],[47])).
% 1.80/1.43 tff(267,plain,
% 1.80/1.43 (8 = tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))),
% 1.80/1.43 inference(symmetry,[status(thm)],[68])).
% 1.80/1.43 tff(268,plain,
% 1.80/1.43 (t2tb(8) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(2))))),
% 1.80/1.43 inference(monotonicity,[status(thm)],[267])).
% 1.80/1.43 tff(269,plain,
% 1.80/1.43 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))) = t2tb(8)),
% 1.80/1.43 inference(symmetry,[status(thm)],[268])).
% 1.80/1.43 tff(270,plain,
% 1.80/1.43 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))) = get(int, int, t2tb1(A9!18), t2tb(2)))),
% 1.80/1.44 inference(quant_inst,[status(thm)],[])).
% 1.80/1.44 tff(271,plain,
% 1.80/1.44 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[270, 194])).
% 1.80/1.44 tff(272,plain,
% 1.80/1.44 (get(int, int, t2tb1(A9!18), t2tb(2)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(2))))),
% 1.80/1.44 inference(symmetry,[status(thm)],[271])).
% 1.80/1.44 tff(273,plain,
% 1.80/1.44 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(8)),
% 1.80/1.44 inference(transitivity,[status(thm)],[71, 70, 272, 269])).
% 1.80/1.44 tff(274,plain,
% 1.80/1.44 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[199, 273])).
% 1.80/1.44 tff(275,plain,
% 1.80/1.44 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[274])).
% 1.80/1.44 tff(276,plain,
% 1.80/1.44 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5),
% 1.80/1.44 inference(transitivity,[status(thm)],[275, 266])).
% 1.80/1.44 tff(277,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)), introduced(assumption)).
% 1.80/1.44 tff(278,plain,
% 1.80/1.44 ($false),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[277, 276])).
% 1.80/1.44 tff(279,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)), inference(lemma,lemma(discharge,[]))).
% 1.80/1.44 tff(280,plain,
% 1.80/1.44 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[279, 265])).
% 1.80/1.44 tff(281,plain,
% 1.80/1.44 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(282,plain,
% 1.80/1.44 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(283,plain,
% 1.80/1.44 (($sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(284,plain,
% 1.80/1.44 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2))) = $sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(285,plain,
% 1.80/1.44 ($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3))) = $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2))),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(286,plain,
% 1.80/1.44 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = $sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[285])).
% 1.80/1.44 tff(287,plain,
% 1.80/1.44 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = $sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))),
% 1.80/1.44 inference(transitivity,[status(thm)],[286, 284])).
% 1.80/1.44 tff(288,plain,
% 1.80/1.44 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0) <=> ($sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)) = 0)),
% 1.80/1.44 inference(monotonicity,[status(thm)],[287])).
% 1.80/1.44 tff(289,plain,
% 1.80/1.44 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.80/1.44 inference(transitivity,[status(thm)],[288, 283])).
% 1.80/1.44 tff(290,plain,
% 1.80/1.44 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(291,plain,
% 1.80/1.44 ($greatereq(-3, 0) <=> $false),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(292,plain,
% 1.80/1.44 ($sum(0, -3) = -3),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(293,plain,
% 1.80/1.44 ($product(-1, 3) = -3),
% 1.80/1.44 inference(rewrite,[status(thm)],[])).
% 1.80/1.44 tff(294,plain,
% 1.80/1.44 ($sum(0, $product(-1, 3)) = $sum(0, -3)),
% 1.80/1.44 inference(monotonicity,[status(thm)],[293])).
% 1.80/1.44 tff(295,plain,
% 1.80/1.44 ($sum(0, $product(-1, 3)) = -3),
% 1.80/1.44 inference(transitivity,[status(thm)],[294, 292])).
% 1.80/1.44 tff(296,plain,
% 1.80/1.44 ($greatereq($sum(0, $product(-1, 3)), 0) <=> $greatereq(-3, 0)),
% 1.80/1.44 inference(monotonicity,[status(thm)],[295])).
% 1.80/1.44 tff(297,plain,
% 1.80/1.44 ($greatereq($sum(0, $product(-1, 3)), 0) <=> $false),
% 1.80/1.44 inference(transitivity,[status(thm)],[296, 291])).
% 1.80/1.44 tff(298,plain,
% 1.80/1.44 (($greatereq($sum(0, $product(-1, 3)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[297, 290, 289])).
% 1.80/1.44 tff(299,plain,
% 1.80/1.44 (($greatereq($sum(0, $product(-1, 3)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.44 inference(transitivity,[status(thm)],[298, 282])).
% 1.80/1.44 tff(300,plain,
% 1.80/1.44 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[299])).
% 1.80/1.44 tff(301,plain,
% 1.80/1.44 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.44 inference(transitivity,[status(thm)],[300, 281])).
% 1.80/1.44 tff(302,plain,
% 1.80/1.44 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 0))),
% 1.80/1.44 inference(quant_inst,[status(thm)],[])).
% 1.80/1.44 tff(303,plain,
% 1.80/1.44 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.80/1.44 inference(modus_ponens,[status(thm)],[302, 301])).
% 1.80/1.44 tff(304,plain,
% 1.80/1.44 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[303, 111, 95, 280])).
% 1.80/1.44 tff(305,plain,
% 1.80/1.44 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.80/1.44 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.44 tff(306,plain,
% 1.80/1.44 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[305, 304])).
% 1.80/1.44 tff(307,plain,
% 1.80/1.44 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.80/1.44 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.44 tff(308,plain,
% 1.80/1.44 ($lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[307, 259])).
% 1.80/1.44 tff(309,plain,
% 1.80/1.44 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8))),
% 1.80/1.44 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.44 tff(310,plain,
% 1.80/1.44 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[309, 308])).
% 1.80/1.44 tff(311,plain,
% 1.80/1.44 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.80/1.44 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.44 tff(312,plain,
% 1.80/1.44 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[311, 310])).
% 1.80/1.44 tff(313,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.44 tff(314,plain,
% 1.80/1.44 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))) = get(int, int, t2tb1(A9!18), t2tb(3)))),
% 1.80/1.44 inference(quant_inst,[status(thm)],[])).
% 1.80/1.44 tff(315,plain,
% 1.80/1.44 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[314, 194])).
% 1.80/1.44 tff(316,plain,
% 1.80/1.44 (2 = tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))),
% 1.80/1.44 inference(symmetry,[status(thm)],[48])).
% 1.80/1.44 tff(317,plain,
% 1.80/1.44 (t2tb(2) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(3))))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[316])).
% 1.80/1.44 tff(318,plain,
% 1.80/1.44 (t2tb(2) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.80/1.44 inference(transitivity,[status(thm)],[317, 315, 60, 313])).
% 1.80/1.44 tff(319,plain,
% 1.80/1.44 (get(int, int, t2tb1(A9!18), t2tb(2)) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[58, 318])).
% 1.80/1.44 tff(320,plain,
% 1.80/1.44 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 1.80/1.44 inference(symmetry,[status(thm)],[319])).
% 1.80/1.44 tff(321,plain,
% 1.80/1.44 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))),
% 1.80/1.44 inference(monotonicity,[status(thm)],[320])).
% 1.80/1.44 tff(322,plain,
% 1.80/1.44 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8),
% 1.80/1.44 inference(transitivity,[status(thm)],[321, 68])).
% 1.80/1.44 tff(323,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)), introduced(assumption)).
% 1.80/1.44 tff(324,plain,
% 1.80/1.44 ($false),
% 1.80/1.44 inference(unit_resolution,[status(thm)],[323, 322])).
% 1.80/1.44 tff(325,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)), inference(lemma,lemma(discharge,[]))).
% 1.80/1.45 tff(326,plain,
% 1.80/1.45 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.45 inference(unit_resolution,[status(thm)],[325, 312])).
% 1.80/1.45 tff(327,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(328,plain,
% 1.80/1.45 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(329,plain,
% 1.80/1.45 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(330,plain,
% 1.80/1.45 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(331,plain,
% 1.80/1.45 ($greatereq(-4, 0) <=> $false),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(332,plain,
% 1.80/1.45 ($sum(0, -4) = -4),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(333,plain,
% 1.80/1.45 ($product(-1, 4) = -4),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(334,plain,
% 1.80/1.45 ($sum(0, $product(-1, 4)) = $sum(0, -4)),
% 1.80/1.45 inference(monotonicity,[status(thm)],[333])).
% 1.80/1.45 tff(335,plain,
% 1.80/1.45 ($sum(0, $product(-1, 4)) = -4),
% 1.80/1.45 inference(transitivity,[status(thm)],[334, 332])).
% 1.80/1.45 tff(336,plain,
% 1.80/1.45 ($greatereq($sum(0, $product(-1, 4)), 0) <=> $greatereq(-4, 0)),
% 1.80/1.45 inference(monotonicity,[status(thm)],[335])).
% 1.80/1.45 tff(337,plain,
% 1.80/1.45 ($greatereq($sum(0, $product(-1, 4)), 0) <=> $false),
% 1.80/1.45 inference(transitivity,[status(thm)],[336, 331])).
% 1.80/1.45 tff(338,plain,
% 1.80/1.45 (($greatereq($sum(0, $product(-1, 4)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.45 inference(monotonicity,[status(thm)],[337, 330, 329])).
% 1.80/1.45 tff(339,plain,
% 1.80/1.45 (($greatereq($sum(0, $product(-1, 4)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.45 inference(transitivity,[status(thm)],[338, 328])).
% 1.80/1.45 tff(340,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)))),
% 1.80/1.45 inference(monotonicity,[status(thm)],[339])).
% 1.80/1.45 tff(341,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0))),
% 1.80/1.45 inference(transitivity,[status(thm)],[340, 327])).
% 1.80/1.45 tff(342,plain,
% 1.80/1.45 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 0))),
% 1.80/1.45 inference(quant_inst,[status(thm)],[])).
% 1.80/1.45 tff(343,plain,
% 1.80/1.45 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.80/1.45 inference(modus_ponens,[status(thm)],[342, 341])).
% 1.80/1.45 tff(344,plain,
% 1.80/1.45 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.80/1.45 inference(unit_resolution,[status(thm)],[343, 111, 95, 326])).
% 1.80/1.45 tff(345,plain,
% 1.80/1.45 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.80/1.45 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.45 tff(346,plain,
% 1.80/1.45 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.80/1.45 inference(unit_resolution,[status(thm)],[345, 344])).
% 1.80/1.45 tff(347,assumption,(~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)), introduced(assumption)).
% 1.80/1.45 tff(348,plain,
% 1.80/1.45 ((3 = 4) <=> $false),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(349,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.80/1.45 tff(350,plain,
% 1.80/1.45 (get(int, int, t2tb1(A9!18), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.80/1.45 inference(transitivity,[status(thm)],[64, 349])).
% 1.80/1.45 tff(351,plain,
% 1.80/1.45 (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.45 inference(monotonicity,[status(thm)],[350])).
% 1.80/1.45 tff(352,plain,
% 1.80/1.45 (3 = tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))),
% 1.80/1.45 inference(symmetry,[status(thm)],[63])).
% 1.80/1.45 tff(353,plain,
% 1.80/1.45 (3 = 4),
% 1.80/1.45 inference(transitivity,[status(thm)],[352, 351, 181])).
% 1.80/1.45 tff(354,plain,
% 1.80/1.45 ($false),
% 1.80/1.45 inference(modus_ponens,[status(thm)],[353, 348])).
% 1.80/1.45 tff(355,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.80/1.45 tff(356,plain,
% 1.80/1.45 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.45 inference(unit_resolution,[status(thm)],[355, 177])).
% 1.80/1.45 tff(357,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(358,plain,
% 1.80/1.45 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(359,plain,
% 1.80/1.45 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(360,plain,
% 1.80/1.45 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(361,plain,
% 1.80/1.45 ($greatereq(-2, 0) <=> $false),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(362,plain,
% 1.80/1.45 ($sum(0, -2) = -2),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(363,plain,
% 1.80/1.45 ($product(-1, 2) = -2),
% 1.80/1.45 inference(rewrite,[status(thm)],[])).
% 1.80/1.45 tff(364,plain,
% 1.80/1.45 ($sum(0, $product(-1, 2)) = $sum(0, -2)),
% 1.80/1.45 inference(monotonicity,[status(thm)],[363])).
% 1.80/1.45 tff(365,plain,
% 1.80/1.45 ($sum(0, $product(-1, 2)) = -2),
% 1.80/1.45 inference(transitivity,[status(thm)],[364, 362])).
% 1.80/1.45 tff(366,plain,
% 1.80/1.45 ($greatereq($sum(0, $product(-1, 2)), 0) <=> $greatereq(-2, 0)),
% 1.80/1.45 inference(monotonicity,[status(thm)],[365])).
% 1.80/1.45 tff(367,plain,
% 1.80/1.45 ($greatereq($sum(0, $product(-1, 2)), 0) <=> $false),
% 1.80/1.45 inference(transitivity,[status(thm)],[366, 361])).
% 1.80/1.45 tff(368,plain,
% 1.80/1.45 (($greatereq($sum(0, $product(-1, 2)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))),
% 1.80/1.45 inference(monotonicity,[status(thm)],[367, 360, 359])).
% 1.80/1.45 tff(369,plain,
% 1.80/1.45 (($greatereq($sum(0, $product(-1, 2)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))),
% 1.80/1.45 inference(transitivity,[status(thm)],[368, 358])).
% 1.80/1.45 tff(370,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)))),
% 1.80/1.45 inference(monotonicity,[status(thm)],[369])).
% 1.80/1.45 tff(371,plain,
% 1.80/1.45 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0))),
% 1.80/1.45 inference(transitivity,[status(thm)],[370, 357])).
% 1.80/1.45 tff(372,plain,
% 1.80/1.45 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 0))),
% 1.80/1.45 inference(quant_inst,[status(thm)],[])).
% 1.80/1.45 tff(373,plain,
% 1.80/1.45 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)),
% 1.80/1.45 inference(modus_ponens,[status(thm)],[372, 371])).
% 1.80/1.45 tff(374,plain,
% 1.80/1.45 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)),
% 1.80/1.46 inference(unit_resolution,[status(thm)],[373, 111, 95])).
% 1.80/1.46 tff(375,plain,
% 1.80/1.46 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 1.80/1.46 inference(unit_resolution,[status(thm)],[374, 356])).
% 1.80/1.46 tff(376,plain,
% 1.80/1.46 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 1.80/1.46 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.46 tff(377,plain,
% 1.80/1.46 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 1.80/1.46 inference(unit_resolution,[status(thm)],[376, 375])).
% 1.80/1.46 tff(378,plain,
% 1.80/1.46 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 1.80/1.46 inference(theory_lemma,[status(thm)],[])).
% 1.80/1.46 tff(379,plain,
% 1.80/1.46 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 1.80/1.46 inference(unit_resolution,[status(thm)],[378, 377, 347, 346, 306, 257])).
% 1.80/1.46 tff(380,plain,
% 1.80/1.46 ((~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 1.80/1.46 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.46 tff(381,plain,
% 1.90/1.46 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 1.90/1.46 inference(unit_resolution,[status(thm)],[380, 379])).
% 1.90/1.46 tff(382,assumption,(~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)), introduced(assumption)).
% 1.90/1.46 tff(383,assumption,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))), introduced(assumption)).
% 1.90/1.46 tff(384,plain,
% 1.90/1.46 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : refl(((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))))),
% 1.90/1.46 inference(bind,[status(th)],[])).
% 1.90/1.46 tff(385,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))),
% 1.90/1.46 inference(quant_intro,[status(thm)],[384])).
% 1.90/1.46 tff(386,plain,
% 1.90/1.46 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite((~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | (~($lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) <=> (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))), (((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | (~($lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))))), rewrite(((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))), (((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | (~($lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))))),
% 1.90/1.46 inference(bind,[status(th)],[])).
% 1.90/1.46 tff(387,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | (~($lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0))))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))),
% 1.90/1.46 inference(quant_intro,[status(thm)],[386])).
% 1.90/1.46 tff(388,plain,
% 1.90/1.46 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite((~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))) <=> (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0))))))), (((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0))))))))), rewrite(((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0))))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)))))))), (((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)))))))))),
% 1.90/1.46 inference(bind,[status(th)],[])).
% 1.90/1.46 tff(389,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)))))))),
% 1.90/1.46 inference(quant_intro,[status(thm)],[388])).
% 1.90/1.46 tff(390,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))),
% 1.90/1.46 inference(rewrite,[status(thm)],[])).
% 1.90/1.46 tff(391,plain,
% 1.90/1.46 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[I: $int] : trans(monotonicity(rewrite(($lesseq(L, I) & $less(I, U)) <=> ($lesseq(L, I) & (~$lesseq(U, I)))), ((($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) <=> (($lesseq(L, I) & (~$lesseq(U, I))) => (~(get(A, int, M, t2tb(I)) = V))))), rewrite((($lesseq(L, I) & (~$lesseq(U, I))) => (~(get(A, int, M, t2tb(I)) = V))) <=> ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))), ((($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) <=> ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))), (![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) <=> ![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))))), ((![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0)) <=> (![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))) => (occ1(A, V, M, L, U) = 0)))), rewrite((![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I))))) => (occ1(A, V, M, L, U) = 0)) <=> ((~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))) | (occ1(A, V, M, L, U) = 0))), ((![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0)) <=> ((~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))) | (occ1(A, V, M, L, U) = 0)))), ((sort1(A, V) => (![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0))) <=> (sort1(A, V) => ((~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))) | (occ1(A, V, M, L, U) = 0))))), rewrite((sort1(A, V) => ((~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))) | (occ1(A, V, M, L, U) = 0))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))), ((sort1(A, V) => (![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0))) <=> ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))))),
% 1.90/1.46 inference(bind,[status(th)],[])).
% 1.90/1.46 tff(392,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => (![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))),
% 1.90/1.46 inference(quant_intro,[status(thm)],[391])).
% 1.90/1.46 tff(393,axiom,(![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => (![I: $int] : (($lesseq(L, I) & $less(I, U)) => (~(get(A, int, M, t2tb(I)) = V))) => (occ1(A, V, M, L, U) = 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ_neq')).
% 1.90/1.46 tff(394,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))),
% 1.90/1.46 inference(modus_ponens,[status(thm)],[393, 392])).
% 1.90/1.46 tff(395,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq(L, I) & (~$lesseq(U, I)))))))),
% 1.90/1.46 inference(modus_ponens,[status(thm)],[394, 390])).
% 1.90/1.46 tff(396,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~![I: $int] : ((~(get(A, int, M, t2tb(I)) = V)) | (~($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)))))))),
% 1.90/1.46 inference(modus_ponens,[status(thm)],[395, 389])).
% 1.90/1.46 tff(397,plain,(
% 1.90/1.46 ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | (~($lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))))),
% 1.90/1.46 inference(skolemize,[status(sab)],[396])).
% 1.90/1.46 tff(398,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))),
% 1.90/1.46 inference(modus_ponens,[status(thm)],[397, 387])).
% 1.90/1.46 tff(399,plain,
% 1.90/1.46 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))),
% 1.90/1.46 inference(modus_ponens,[status(thm)],[398, 385])).
% 1.90/1.46 tff(400,plain,
% 1.90/1.46 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 1.90/1.46 inference(rewrite,[status(thm)],[])).
% 1.90/1.46 tff(401,plain,
% 1.90/1.46 (((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 1.90/1.46 inference(rewrite,[status(thm)],[])).
% 1.90/1.46 tff(402,plain,
% 1.90/1.46 ((~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)))) <=> (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))),
% 1.90/1.46 inference(rewrite,[status(thm)],[])).
% 1.90/1.46 tff(403,plain,
% 1.90/1.46 (((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0))))) <=> ((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 1.90/1.46 inference(monotonicity,[status(thm)],[402])).
% 1.90/1.46 tff(404,plain,
% 1.90/1.46 (((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0))))) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 1.90/1.46 inference(transitivity,[status(thm)],[403, 401])).
% 1.90/1.46 tff(405,plain,
% 1.90/1.46 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | ((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))))),
% 1.90/1.46 inference(monotonicity,[status(thm)],[404])).
% 1.90/1.46 tff(406,plain,
% 1.90/1.46 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | ((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 1.90/1.47 inference(transitivity,[status(thm)],[405, 400])).
% 1.90/1.47 tff(407,plain,
% 1.90/1.47 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | ((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq($sum(1, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)))))),
% 1.90/1.47 inference(quant_inst,[status(thm)],[])).
% 1.90/1.47 tff(408,plain,
% 1.90/1.47 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((occ1(A, V, M, L, U) = 0) | (~sort1(A, V)) | (~((~(get(A, int, M, t2tb(tptp_fun_I_5(U, L, M, V, A))) = V)) | $lesseq($sum(U, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_5(U, L, M, V, A))), 0)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[407, 406])).
% 1.90/1.47 tff(409,plain,
% 1.90/1.47 ($false),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[408, 399, 95, 383, 382])).
% 1.90/1.47 tff(410,plain,((occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))), inference(lemma,lemma(discharge,[]))).
% 1.90/1.47 tff(411,plain,
% 1.90/1.47 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[410, 381])).
% 1.90/1.47 tff(412,assumption,(~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))), introduced(assumption)).
% 1.90/1.47 tff(413,plain,
% 1.90/1.47 (((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.90/1.47 inference(tautology,[status(thm)],[])).
% 1.90/1.47 tff(414,plain,
% 1.90/1.47 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[413, 412])).
% 1.90/1.47 tff(415,plain,
% 1.90/1.47 (((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1))),
% 1.90/1.47 inference(tautology,[status(thm)],[])).
% 1.90/1.47 tff(416,plain,
% 1.90/1.47 (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1)),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[415, 412])).
% 1.90/1.47 tff(417,plain,
% 1.90/1.47 (((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)),
% 1.90/1.47 inference(tautology,[status(thm)],[])).
% 1.90/1.47 tff(418,plain,
% 1.90/1.47 ($greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[417, 412])).
% 1.90/1.47 tff(419,plain,
% 1.90/1.47 (tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int) = 0),
% 1.90/1.47 inference(theory_lemma,[status(thm)],[418, 416])).
% 1.90/1.47 tff(420,plain,
% 1.90/1.47 (t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int)) = t2tb(0)),
% 1.90/1.47 inference(monotonicity,[status(thm)],[419])).
% 1.90/1.47 tff(421,plain,
% 1.90/1.47 (t2tb(0) = t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))),
% 1.90/1.47 inference(symmetry,[status(thm)],[420])).
% 1.90/1.47 tff(422,plain,
% 1.90/1.47 (get(int, int, t2tb1(A9!18), t2tb(0)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int)))),
% 1.90/1.47 inference(monotonicity,[status(thm)],[59, 421])).
% 1.90/1.47 tff(423,plain,
% 1.90/1.47 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.90/1.47 inference(transitivity,[status(thm)],[422, 414])).
% 1.90/1.47 tff(424,assumption,(~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 1.90/1.47 tff(425,plain,
% 1.90/1.47 ($false),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[424, 423])).
% 1.90/1.47 tff(426,plain,(((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))) | (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 1.90/1.47 tff(427,plain,
% 1.90/1.47 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[426, 411])).
% 1.90/1.47 tff(428,plain,
% 1.90/1.47 (^[A: ty, B: ty, X: uni, X1: uni] : refl(sort1(B, get(B, A, X, X1)) <=> sort1(B, get(B, A, X, X1)))),
% 1.90/1.47 inference(bind,[status(th)],[])).
% 1.90/1.47 tff(429,plain,
% 1.90/1.47 (![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1)) <=> ![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))),
% 1.90/1.47 inference(quant_intro,[status(thm)],[428])).
% 1.90/1.47 tff(430,plain,
% 1.90/1.47 (![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1)) <=> ![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))),
% 1.90/1.47 inference(rewrite,[status(thm)],[])).
% 1.90/1.47 tff(431,axiom,(![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','get_sort2')).
% 1.90/1.47 tff(432,plain,
% 1.90/1.47 (![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[431, 430])).
% 1.90/1.47 tff(433,plain,(
% 1.90/1.47 ![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))),
% 1.90/1.47 inference(skolemize,[status(sab)],[432])).
% 1.90/1.47 tff(434,plain,
% 1.90/1.47 (![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[433, 429])).
% 1.90/1.47 tff(435,plain,
% 1.90/1.47 ((~![A: ty, B: ty, X: uni, X1: uni] : sort1(B, get(B, A, X, X1))) | sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.90/1.47 inference(quant_inst,[status(thm)],[])).
% 1.90/1.47 tff(436,plain,
% 1.90/1.47 (sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[435, 434])).
% 1.90/1.47 tff(437,plain,
% 1.90/1.47 (^[A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : refl(((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1))) <=> ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1))))),
% 1.90/1.47 inference(bind,[status(th)],[])).
% 1.90/1.47 tff(438,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1))) <=> ![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(quant_intro,[status(thm)],[437])).
% 1.90/1.47 tff(439,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1))) <=> ![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(rewrite,[status(thm)],[])).
% 1.90/1.47 tff(440,plain,
% 1.90/1.47 (^[A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : trans(monotonicity(rewrite(((A1 = A2) => (get(B, A, set(B, A, M, A1, B1), A2) = B1)) <=> ((~(A1 = A2)) | (get(B, A, set(B, A, M, A1, B1), A2) = B1))), ((sort1(B, B1) => ((A1 = A2) => (get(B, A, set(B, A, M, A1, B1), A2) = B1))) <=> (sort1(B, B1) => ((~(A1 = A2)) | (get(B, A, set(B, A, M, A1, B1), A2) = B1))))), rewrite((sort1(B, B1) => ((~(A1 = A2)) | (get(B, A, set(B, A, M, A1, B1), A2) = B1))) <=> ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))), ((sort1(B, B1) => ((A1 = A2) => (get(B, A, set(B, A, M, A1, B1), A2) = B1))) <=> ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))))),
% 1.90/1.47 inference(bind,[status(th)],[])).
% 1.90/1.47 tff(441,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : (sort1(B, B1) => ((A1 = A2) => (get(B, A, set(B, A, M, A1, B1), A2) = B1))) <=> ![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(quant_intro,[status(thm)],[440])).
% 1.90/1.47 tff(442,axiom,(![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : (sort1(B, B1) => ((A1 = A2) => (get(B, A, set(B, A, M, A1, B1), A2) = B1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','select_eq')).
% 1.90/1.47 tff(443,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[442, 441])).
% 1.90/1.47 tff(444,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[443, 439])).
% 1.90/1.47 tff(445,plain,(
% 1.90/1.47 ![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(skolemize,[status(sab)],[444])).
% 1.90/1.47 tff(446,plain,
% 1.90/1.47 (![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[445, 438])).
% 1.90/1.47 tff(447,plain,
% 1.90/1.47 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.90/1.47 inference(rewrite,[status(thm)],[])).
% 1.90/1.47 tff(448,plain,
% 1.90/1.47 (((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9))))) <=> ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.90/1.47 inference(rewrite,[status(thm)],[])).
% 1.90/1.47 tff(449,plain,
% 1.90/1.47 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.90/1.47 inference(monotonicity,[status(thm)],[448])).
% 1.90/1.47 tff(450,plain,
% 1.90/1.47 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.90/1.47 inference(transitivity,[status(thm)],[449, 447])).
% 1.90/1.47 tff(451,plain,
% 1.90/1.47 ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))),
% 1.90/1.47 inference(quant_inst,[status(thm)],[])).
% 1.90/1.47 tff(452,plain,
% 1.90/1.47 ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.90/1.47 inference(modus_ponens,[status(thm)],[451, 450])).
% 1.90/1.47 tff(453,plain,
% 1.90/1.47 ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.90/1.47 inference(unit_resolution,[status(thm)],[452, 446, 436])).
% 1.90/1.47 tff(454,plain,
% 1.90/1.47 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.90/1.48 inference(unit_resolution,[status(thm)],[453, 427])).
% 1.90/1.48 tff(455,plain,
% 1.90/1.48 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.90/1.48 inference(symmetry,[status(thm)],[454])).
% 1.90/1.48 tff(456,plain,
% 1.90/1.48 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.90/1.48 inference(transitivity,[status(thm)],[455, 227, 200])).
% 1.90/1.48 tff(457,plain,
% 1.90/1.48 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.90/1.48 inference(monotonicity,[status(thm)],[456])).
% 1.90/1.48 tff(458,plain,
% 1.90/1.48 (6 = 7),
% 1.90/1.48 inference(transitivity,[status(thm)],[203, 457, 185])).
% 1.90/1.48 tff(459,plain,
% 1.90/1.48 ($false),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[458, 184])).
% 1.90/1.48 tff(460,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)), inference(lemma,lemma(discharge,[]))).
% 1.90/1.48 tff(461,plain,
% 1.90/1.48 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 1.90/1.48 inference(unit_resolution,[status(thm)],[460, 177])).
% 1.90/1.48 tff(462,plain,
% 1.90/1.48 ((4 = 6) <=> $false),
% 1.90/1.48 inference(rewrite,[status(thm)],[])).
% 1.90/1.48 tff(463,plain,
% 1.90/1.48 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9))),
% 1.90/1.48 inference(monotonicity,[status(thm)],[59])).
% 1.90/1.48 tff(464,plain,
% 1.90/1.48 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.90/1.48 inference(symmetry,[status(thm)],[463])).
% 1.90/1.48 tff(465,assumption,($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)), introduced(assumption)).
% 1.90/1.48 tff(466,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)), introduced(assumption)).
% 1.90/1.48 tff(467,plain,
% 1.90/1.48 (^[M: map_int_int, N: $int] : refl((~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))) <=> (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(468,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))) <=> ![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[467])).
% 1.90/1.48 tff(469,plain,
% 1.90/1.48 (^[M: map_int_int, N: $int] : rewrite((~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))) <=> (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(470,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))) <=> ![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[469])).
% 1.90/1.48 tff(471,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))) <=> ![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(transitivity,[status(thm)],[470, 468])).
% 1.90/1.48 tff(472,plain,
% 1.90/1.48 (^[M: map_int_int, N: $int] : trans(monotonicity(rewrite(((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) <=> ((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))), rewrite((injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))) <=> (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))), ((((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))) <=> (((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))))), rewrite((((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))) <=> (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))), ((((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))) <=> (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(473,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1)))) <=> ![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[472])).
% 1.90/1.48 tff(474,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (injective2(M, N) <=> ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) <=> ![M: map_int_int, N: $int] : (injective2(M, N) <=> ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))),
% 1.90/1.48 inference(rewrite,[status(thm)],[])).
% 1.90/1.48 tff(475,axiom,(![M: map_int_int, N: $int] : (injective2(M, N) <=> ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','injection_occ')).
% 1.90/1.48 tff(476,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (injective2(M, N) <=> ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[475, 474])).
% 1.90/1.48 tff(477,plain,(
% 1.90/1.48 ![M: map_int_int, N: $int] : (((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1)) & (injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))),
% 1.90/1.48 inference(skolemize,[status(sab)],[476])).
% 1.90/1.48 tff(478,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[477, 473])).
% 1.90/1.48 tff(479,plain,
% 1.90/1.48 (![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[478, 471])).
% 1.90/1.48 tff(480,plain,
% 1.90/1.48 ((~![M: map_int_int, N: $int] : (~((~((~injective2(M, N)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(M), 0, N), 1))) | (~(injective2(M, N) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(N, M)), t2tb1(M), 0, N), 1))))))) | (~((~((~injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))) | (~(injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))))))),
% 1.90/1.48 inference(quant_inst,[status(thm)],[])).
% 1.90/1.48 tff(481,plain,
% 1.90/1.48 (~((~((~injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))) | (~(injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1)))))),
% 1.90/1.48 inference(unit_resolution,[status(thm)],[480, 479])).
% 1.90/1.48 tff(482,plain,
% 1.90/1.48 (((~((~injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![V: $int] : $lesseq(occ1(int, t2tb(V), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))) | (~(injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))))) | (injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1)))),
% 1.90/1.48 inference(tautology,[status(thm)],[])).
% 1.90/1.48 tff(483,plain,
% 1.90/1.48 (injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))),
% 1.90/1.48 inference(unit_resolution,[status(thm)],[482, 481])).
% 1.90/1.48 tff(484,plain,
% 1.90/1.48 (tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))) = A9!18),
% 1.90/1.48 inference(symmetry,[status(thm)],[57])).
% 1.90/1.48 tff(485,plain,
% 1.90/1.48 (injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) <=> injective2(A9!18, 10)),
% 1.90/1.48 inference(monotonicity,[status(thm)],[484])).
% 1.90/1.48 tff(486,plain,
% 1.90/1.48 (injective2(A9!18, 10) <=> injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.90/1.48 inference(symmetry,[status(thm)],[485])).
% 1.90/1.48 tff(487,plain,
% 1.90/1.48 ((~injective2(A9!18, 10)) <=> (~injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10))),
% 1.90/1.48 inference(monotonicity,[status(thm)],[486])).
% 1.90/1.48 tff(488,plain,
% 1.90/1.48 (range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) <=> range2(A9!18, 10)),
% 1.90/1.48 inference(monotonicity,[status(thm)],[484])).
% 1.90/1.48 tff(489,plain,
% 1.90/1.48 (range2(A9!18, 10) <=> range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.90/1.48 inference(symmetry,[status(thm)],[488])).
% 1.90/1.48 tff(490,plain,
% 1.90/1.48 ((~range2(A9!18, 10)) <=> (~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10))),
% 1.90/1.48 inference(monotonicity,[status(thm)],[489])).
% 1.90/1.48 tff(491,assumption,(~range2(A9!18, 10)), introduced(assumption)).
% 1.90/1.48 tff(492,plain,
% 1.90/1.48 (~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[491, 490])).
% 1.90/1.48 tff(493,plain,
% 1.90/1.48 (^[A: map_int_int, N: $int] : refl((~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))) <=> (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(494,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))) <=> ![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[493])).
% 1.90/1.48 tff(495,plain,
% 1.90/1.48 (^[A: map_int_int, N: $int] : rewrite((~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))) <=> (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(496,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))) <=> ![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[495])).
% 1.90/1.48 tff(497,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))) <=> ![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(transitivity,[status(thm)],[496, 494])).
% 1.90/1.48 tff(498,plain,
% 1.90/1.48 (^[A: map_int_int, N: $int] : trans(monotonicity(rewrite(((~range2(A, N)) | ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) <=> ((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))), trans(monotonicity(rewrite((~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))) <=> (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))), ((range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))) <=> (range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))), rewrite((range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))) <=> (range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))), ((range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))) <=> (range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))), ((((~range2(A, N)) | ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))) <=> (((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))))), rewrite((((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))) <=> (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))), ((((~range2(A, N)) | ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))) <=> (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(499,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (((~range2(A, N)) | ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0))))))) <=> ![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[498])).
% 1.90/1.48 tff(500,plain,
% 1.90/1.48 (^[A: map_int_int, N: $int] : rewrite((range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I)))))))) <=> (range2(A, N) <=> ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(501,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I)))))))) <=> ![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[500])).
% 1.90/1.48 tff(502,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I)))))))) <=> ![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I))))))))),
% 1.90/1.48 inference(rewrite,[status(thm)],[])).
% 1.90/1.48 tff(503,plain,
% 1.90/1.48 (^[A: map_int_int, N: $int] : rewrite((range2(A, N) <=> ![I: $int] : (($lesseq(0, I) & $less(I, N)) => ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & $less(tb2t(get(int, int, t2tb1(A), t2tb(I))), N)))) <=> (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I)))))))))),
% 1.90/1.48 inference(bind,[status(th)],[])).
% 1.90/1.48 tff(504,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : (($lesseq(0, I) & $less(I, N)) => ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & $less(tb2t(get(int, int, t2tb1(A), t2tb(I))), N)))) <=> ![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I))))))))),
% 1.90/1.48 inference(quant_intro,[status(thm)],[503])).
% 1.90/1.48 tff(505,axiom,(![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : (($lesseq(0, I) & $less(I, N)) => ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & $less(tb2t(get(int, int, t2tb1(A), t2tb(I))), N))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','range_def')).
% 1.90/1.48 tff(506,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I))))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[505, 504])).
% 1.90/1.48 tff(507,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($lesseq(0, I) & (~$lesseq(N, I)))) | ($lesseq(0, tb2t(get(int, int, t2tb1(A), t2tb(I)))) & (~$lesseq(N, tb2t(get(int, int, t2tb1(A), t2tb(I))))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[506, 502])).
% 1.90/1.48 tff(508,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (range2(A, N) <=> ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[507, 501])).
% 1.90/1.48 tff(509,plain,(
% 1.90/1.48 ![A: map_int_int, N: $int] : (((~range2(A, N)) | ![I: $int] : ((~($greatereq(I, 0) & (~$lesseq($sum(N, $product(-1, I)), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0))))) & (range2(A, N) | (~((~($greatereq(tptp_fun_I_4(N, A), 0) & (~$lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0)))) | ($greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0) & (~$lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))),
% 1.90/1.48 inference(skolemize,[status(sab)],[508])).
% 1.90/1.48 tff(510,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[509, 499])).
% 1.90/1.48 tff(511,plain,
% 1.90/1.48 (![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))),
% 1.90/1.48 inference(modus_ponens,[status(thm)],[510, 497])).
% 1.90/1.48 tff(512,plain,
% 1.90/1.48 (((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))))))) <=> ((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))))))),
% 1.90/1.48 inference(rewrite,[status(thm)],[])).
% 1.90/1.48 tff(513,plain,
% 1.90/1.48 ((~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(10, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))))), 0)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~($lesseq($sum(10, $product(-1, tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), 0) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))), 0))))))))) <=> (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))))))),
% 1.90/1.48 inference(rewrite,[status(thm)],[])).
% 1.90/1.48 tff(514,plain,
% 1.90/1.48 (((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(10, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))))), 0)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~($lesseq($sum(10, $product(-1, tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), 0) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))), 0)))))))))) <=> ((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))))))),
% 1.90/1.49 inference(monotonicity,[status(thm)],[513])).
% 1.90/1.49 tff(515,plain,
% 1.90/1.49 (((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(10, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))))), 0)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~($lesseq($sum(10, $product(-1, tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), 0) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))), 0)))))))))) <=> ((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))))))),
% 1.90/1.49 inference(transitivity,[status(thm)],[514, 512])).
% 1.90/1.49 tff(516,plain,
% 1.90/1.49 ((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(10, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))))), 0)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~($lesseq($sum(10, $product(-1, tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), 0) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $lesseq($sum(10, $product(-1, tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))), 0)))))))))),
% 1.90/1.49 inference(quant_inst,[status(thm)],[])).
% 1.90/1.49 tff(517,plain,
% 1.90/1.49 ((~![A: map_int_int, N: $int] : (~((~((~range2(A, N)) | ![I: $int] : ((~$greatereq(I, 0)) | $lesseq($sum(N, $product(-1, I)), 0) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(I))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(I))))), 0)))))) | (~(range2(A, N) | (~($lesseq($sum(N, $product(-1, tptp_fun_I_4(N, A))), 0) | (~$greatereq(tptp_fun_I_4(N, A), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))), 0)) | $lesseq($sum(N, $product(-1, tb2t(get(int, int, t2tb1(A), t2tb(tptp_fun_I_4(N, A)))))), 0)))))))))) | (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))))))),
% 1.90/1.49 inference(modus_ponens,[status(thm)],[516, 515])).
% 1.90/1.49 tff(518,plain,
% 1.90/1.49 (~((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))))),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[517, 511])).
% 1.90/1.49 tff(519,plain,
% 1.90/1.49 (((~((~range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq(I, 10) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(I))), 10)))))) | (~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))))) | (range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))),
% 1.90/1.49 inference(tautology,[status(thm)],[])).
% 1.90/1.49 tff(520,plain,
% 1.90/1.49 (range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[519, 518])).
% 1.90/1.49 tff(521,assumption,(~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))), introduced(assumption)).
% 1.90/1.49 tff(522,plain,
% 1.90/1.49 (((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)) | ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))),
% 1.90/1.49 inference(tautology,[status(thm)],[])).
% 1.90/1.49 tff(523,plain,
% 1.90/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[522, 521])).
% 1.90/1.49 tff(524,plain,
% 1.90/1.49 (((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)),
% 1.90/1.49 inference(tautology,[status(thm)],[])).
% 1.90/1.49 tff(525,plain,
% 1.90/1.49 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[524, 521])).
% 1.90/1.49 tff(526,plain,
% 1.90/1.49 (((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))),
% 1.90/1.49 inference(tautology,[status(thm)],[])).
% 1.90/1.49 tff(527,plain,
% 1.90/1.49 (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[526, 521])).
% 1.90/1.49 tff(528,assumption,(~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)), introduced(assumption)).
% 1.90/1.49 tff(529,plain,
% 1.90/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(530,plain,
% 1.90/1.49 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[529, 528])).
% 1.90/1.49 tff(531,plain,
% 1.90/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(532,plain,
% 1.90/1.49 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[531, 530])).
% 1.90/1.49 tff(533,plain,
% 1.90/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(534,plain,
% 1.90/1.49 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[533, 528])).
% 1.90/1.49 tff(535,plain,
% 1.90/1.49 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(536,plain,
% 1.90/1.49 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[535, 534])).
% 1.90/1.49 tff(537,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 7), introduced(assumption)).
% 1.90/1.49 tff(538,plain,
% 1.90/1.49 (^[I: $int] : refl(($sum(I, $product(-1, tb2t(t2tb(I)))) = 0) <=> ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0))),
% 1.90/1.49 inference(bind,[status(th)],[])).
% 1.90/1.49 tff(539,plain,
% 1.90/1.49 (![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0) <=> ![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)),
% 1.90/1.49 inference(quant_intro,[status(thm)],[538])).
% 1.90/1.49 tff(540,plain,
% 1.90/1.49 (^[I: $int] : trans(monotonicity(rewrite($sum(tb2t(t2tb(I)), $product(-1, I)) = $sum($product(-1, I), tb2t(t2tb(I)))), (($sum(tb2t(t2tb(I)), $product(-1, I)) = 0) <=> ($sum($product(-1, I), tb2t(t2tb(I))) = 0))), rewrite(($sum($product(-1, I), tb2t(t2tb(I))) = 0) <=> ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)), (($sum(tb2t(t2tb(I)), $product(-1, I)) = 0) <=> ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)))),
% 1.90/1.49 inference(bind,[status(th)],[])).
% 1.90/1.49 tff(541,plain,
% 1.90/1.49 (![I: $int] : ($sum(tb2t(t2tb(I)), $product(-1, I)) = 0) <=> ![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)),
% 1.90/1.49 inference(quant_intro,[status(thm)],[540])).
% 1.90/1.49 tff(542,plain,
% 1.90/1.49 (^[I: $int] : rewrite((tb2t(t2tb(I)) = I) <=> ($sum(tb2t(t2tb(I)), $product(-1, I)) = 0))),
% 1.90/1.49 inference(bind,[status(th)],[])).
% 1.90/1.49 tff(543,plain,
% 1.90/1.49 (![I: $int] : (tb2t(t2tb(I)) = I) <=> ![I: $int] : ($sum(tb2t(t2tb(I)), $product(-1, I)) = 0)),
% 1.90/1.49 inference(quant_intro,[status(thm)],[542])).
% 1.90/1.49 tff(544,plain,
% 1.90/1.49 (![I: $int] : (tb2t(t2tb(I)) = I) <=> ![I: $int] : (tb2t(t2tb(I)) = I)),
% 1.90/1.49 inference(rewrite,[status(thm)],[])).
% 1.90/1.49 tff(545,axiom,(![I: $int] : (tb2t(t2tb(I)) = I)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bridgeL')).
% 1.90/1.49 tff(546,plain,
% 1.90/1.49 (![I: $int] : (tb2t(t2tb(I)) = I)),
% 1.90/1.49 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.90/1.49 tff(547,plain,
% 1.90/1.49 (![I: $int] : ($sum(tb2t(t2tb(I)), $product(-1, I)) = 0)),
% 1.90/1.49 inference(modus_ponens,[status(thm)],[546, 543])).
% 1.90/1.49 tff(548,plain,
% 1.90/1.49 (![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)),
% 1.90/1.49 inference(modus_ponens,[status(thm)],[547, 541])).
% 1.90/1.49 tff(549,plain,(
% 1.90/1.49 ![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)),
% 1.90/1.49 inference(skolemize,[status(sab)],[548])).
% 1.90/1.49 tff(550,plain,
% 1.90/1.49 (![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)),
% 1.90/1.49 inference(modus_ponens,[status(thm)],[549, 539])).
% 1.90/1.49 tff(551,plain,
% 1.90/1.49 ((~![I: $int] : ($sum(I, $product(-1, tb2t(t2tb(I)))) = 0)) | ($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = 0)),
% 1.90/1.49 inference(quant_inst,[status(thm)],[])).
% 1.90/1.49 tff(552,plain,
% 1.90/1.49 ($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = 0),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[551, 550])).
% 1.90/1.49 tff(553,plain,
% 1.90/1.49 ((~($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = 0)) | $lesseq($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), 0)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(554,plain,
% 1.90/1.49 ($lesseq($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), 0)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[553, 552])).
% 1.90/1.49 tff(555,plain,
% 1.90/1.49 ((~($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = 0)) | $greatereq($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), 0)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(556,plain,
% 1.90/1.49 ($greatereq($sum(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), $product(-1, tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), 0)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[555, 552])).
% 1.90/1.49 tff(557,plain,
% 1.90/1.49 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[556, 554])).
% 1.90/1.49 tff(558,plain,
% 1.90/1.49 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))),
% 1.90/1.49 inference(symmetry,[status(thm)],[557])).
% 1.90/1.49 tff(559,plain,
% 1.90/1.49 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 7),
% 1.90/1.49 inference(transitivity,[status(thm)],[558, 537])).
% 1.90/1.49 tff(560,plain,
% 1.90/1.49 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(7)),
% 1.90/1.49 inference(monotonicity,[status(thm)],[559])).
% 1.90/1.49 tff(561,plain,
% 1.90/1.49 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.90/1.49 inference(quant_inst,[status(thm)],[])).
% 1.90/1.49 tff(562,plain,
% 1.90/1.49 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[561, 194])).
% 1.90/1.49 tff(563,plain,
% 1.90/1.49 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.90/1.49 inference(symmetry,[status(thm)],[562])).
% 1.90/1.49 tff(564,plain,
% 1.90/1.49 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(7)),
% 1.90/1.49 inference(transitivity,[status(thm)],[563, 560])).
% 1.90/1.49 tff(565,plain,
% 1.90/1.49 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 1.90/1.49 inference(monotonicity,[status(thm)],[199, 564])).
% 1.90/1.49 tff(566,plain,
% 1.90/1.49 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))),
% 1.90/1.49 inference(monotonicity,[status(thm)],[565])).
% 1.90/1.49 tff(567,plain,
% 1.90/1.49 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1),
% 1.90/1.49 inference(transitivity,[status(thm)],[566, 79])).
% 1.90/1.49 tff(568,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)), introduced(assumption)).
% 1.90/1.49 tff(569,plain,
% 1.90/1.49 ($false),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[568, 567])).
% 1.90/1.49 tff(570,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 7)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)), inference(lemma,lemma(discharge,[]))).
% 1.90/1.49 tff(571,plain,
% 1.90/1.49 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 7)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[570, 536])).
% 1.90/1.49 tff(572,plain,
% 1.90/1.49 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.90/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.90/1.49 tff(573,plain,
% 1.90/1.49 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)),
% 1.90/1.49 inference(unit_resolution,[status(thm)],[572, 528])).
% 1.90/1.49 tff(574,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 6), introduced(assumption)).
% 1.90/1.49 tff(575,plain,
% 1.90/1.49 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 6),
% 1.90/1.49 inference(transitivity,[status(thm)],[558, 574])).
% 1.90/1.49 tff(576,plain,
% 1.90/1.49 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(6)),
% 1.90/1.49 inference(monotonicity,[status(thm)],[575])).
% 1.90/1.49 tff(577,plain,
% 1.90/1.49 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(6)),
% 1.90/1.49 inference(transitivity,[status(thm)],[563, 576])).
% 1.90/1.49 tff(578,plain,
% 1.90/1.49 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(6))),
% 1.90/1.49 inference(monotonicity,[status(thm)],[199, 577])).
% 1.90/1.49 tff(579,plain,
% 1.90/1.49 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))),
% 1.94/1.49 inference(monotonicity,[status(thm)],[578])).
% 1.94/1.49 tff(580,plain,
% 1.94/1.49 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0),
% 1.94/1.49 inference(transitivity,[status(thm)],[579, 141])).
% 1.94/1.49 tff(581,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)), introduced(assumption)).
% 1.94/1.49 tff(582,plain,
% 1.94/1.49 ($false),
% 1.94/1.49 inference(unit_resolution,[status(thm)],[581, 580])).
% 1.94/1.49 tff(583,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 6)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.49 tff(584,plain,
% 1.94/1.49 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 6)),
% 1.94/1.49 inference(unit_resolution,[status(thm)],[583, 573])).
% 1.94/1.49 tff(585,plain,
% 1.94/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.94/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.49 tff(586,plain,
% 1.94/1.49 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.49 inference(unit_resolution,[status(thm)],[585, 534])).
% 1.94/1.49 tff(587,plain,
% 1.94/1.49 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.49 tff(588,plain,
% 1.94/1.49 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.94/1.49 inference(unit_resolution,[status(thm)],[587, 586])).
% 1.94/1.49 tff(589,plain,
% 1.94/1.49 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.94/1.49 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.49 tff(590,plain,
% 1.94/1.49 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)),
% 1.94/1.49 inference(unit_resolution,[status(thm)],[589, 588])).
% 1.94/1.49 tff(591,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 5), introduced(assumption)).
% 1.94/1.49 tff(592,plain,
% 1.94/1.49 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 5),
% 1.94/1.49 inference(transitivity,[status(thm)],[558, 591])).
% 1.94/1.49 tff(593,plain,
% 1.94/1.49 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(5)),
% 1.94/1.49 inference(monotonicity,[status(thm)],[592])).
% 1.94/1.49 tff(594,plain,
% 1.94/1.49 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(5)),
% 1.94/1.49 inference(transitivity,[status(thm)],[563, 593])).
% 1.94/1.49 tff(595,plain,
% 1.94/1.49 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.94/1.49 inference(monotonicity,[status(thm)],[199, 594])).
% 1.94/1.50 tff(596,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[595])).
% 1.94/1.50 tff(597,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4),
% 1.94/1.50 inference(transitivity,[status(thm)],[596, 174])).
% 1.94/1.50 tff(598,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)), introduced(assumption)).
% 1.94/1.50 tff(599,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[598, 597])).
% 1.94/1.50 tff(600,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 5)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(601,plain,
% 1.94/1.50 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 5)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[600, 590])).
% 1.94/1.50 tff(602,plain,
% 1.94/1.50 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(603,plain,
% 1.94/1.50 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[602, 530])).
% 1.94/1.50 tff(604,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(605,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[604, 603])).
% 1.94/1.50 tff(606,plain,
% 1.94/1.50 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(607,plain,
% 1.94/1.50 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[606, 534])).
% 1.94/1.50 tff(608,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(609,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[608, 607])).
% 1.94/1.50 tff(610,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 3), introduced(assumption)).
% 1.94/1.50 tff(611,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 3),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 610])).
% 1.94/1.50 tff(612,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(3)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[611])).
% 1.94/1.50 tff(613,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(3)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 612])).
% 1.94/1.50 tff(614,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 613])).
% 1.94/1.50 tff(615,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[614])).
% 1.94/1.50 tff(616,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2),
% 1.94/1.50 inference(transitivity,[status(thm)],[615, 48])).
% 1.94/1.50 tff(617,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)), introduced(assumption)).
% 1.94/1.50 tff(618,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[617, 616])).
% 1.94/1.50 tff(619,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 3)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(620,plain,
% 1.94/1.50 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 3)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[619, 609])).
% 1.94/1.50 tff(621,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(622,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[621, 586])).
% 1.94/1.50 tff(623,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1), introduced(assumption)).
% 1.94/1.50 tff(624,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 1),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 623])).
% 1.94/1.50 tff(625,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(1)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[624])).
% 1.94/1.50 tff(626,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(1)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 625])).
% 1.94/1.50 tff(627,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 626])).
% 1.94/1.50 tff(628,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[627])).
% 1.94/1.50 tff(629,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3),
% 1.94/1.50 inference(transitivity,[status(thm)],[628, 63])).
% 1.94/1.50 tff(630,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)), introduced(assumption)).
% 1.94/1.50 tff(631,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[630, 629])).
% 1.94/1.50 tff(632,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(633,plain,
% 1.94/1.50 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[632, 622])).
% 1.94/1.50 tff(634,plain,
% 1.94/1.50 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(635,plain,
% 1.94/1.50 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[634, 530])).
% 1.94/1.50 tff(636,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(637,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[636, 635])).
% 1.94/1.50 tff(638,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0), introduced(assumption)).
% 1.94/1.50 tff(639,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 0),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 638])).
% 1.94/1.50 tff(640,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(0)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[639])).
% 1.94/1.50 tff(641,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(0)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 640])).
% 1.94/1.50 tff(642,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(0))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 641])).
% 1.94/1.50 tff(643,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(0)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[642])).
% 1.94/1.50 tff(644,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9),
% 1.94/1.50 inference(transitivity,[status(thm)],[643, 210])).
% 1.94/1.50 tff(645,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)), introduced(assumption)).
% 1.94/1.50 tff(646,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[645, 644])).
% 1.94/1.50 tff(647,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0)) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(648,plain,
% 1.94/1.50 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[647, 637])).
% 1.94/1.50 tff(649,assumption,($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)), introduced(assumption)).
% 1.94/1.50 tff(650,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(651,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0))),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[650, 649])).
% 1.94/1.50 tff(652,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[651, 648])).
% 1.94/1.50 tff(653,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1) | $lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(654,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[653, 652])).
% 1.94/1.50 tff(655,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(656,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1))),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[655, 654])).
% 1.94/1.50 tff(657,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[656, 633])).
% 1.94/1.50 tff(658,plain,
% 1.94/1.50 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(659,plain,
% 1.94/1.50 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[658, 530])).
% 1.94/1.50 tff(660,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(661,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[660, 659])).
% 1.94/1.50 tff(662,assumption,(~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)), introduced(assumption)).
% 1.94/1.50 tff(663,assumption,(~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)), introduced(assumption)).
% 1.94/1.50 tff(664,plain,
% 1.94/1.50 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 2),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[663, 662])).
% 1.94/1.50 tff(665,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 2),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 664])).
% 1.94/1.50 tff(666,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(2)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[665])).
% 1.94/1.50 tff(667,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(2)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 666])).
% 1.94/1.50 tff(668,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 667])).
% 1.94/1.50 tff(669,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[668])).
% 1.94/1.50 tff(670,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8),
% 1.94/1.50 inference(transitivity,[status(thm)],[669, 68])).
% 1.94/1.50 tff(671,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)), introduced(assumption)).
% 1.94/1.50 tff(672,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[671, 670])).
% 1.94/1.50 tff(673,plain,($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8) | $lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(674,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[673, 661, 657])).
% 1.94/1.50 tff(675,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 3) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(676,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[675, 674, 620])).
% 1.94/1.50 tff(677,assumption,(~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)), introduced(assumption)).
% 1.94/1.50 tff(678,assumption,(~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)), introduced(assumption)).
% 1.94/1.50 tff(679,plain,
% 1.94/1.50 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 4),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[678, 677])).
% 1.94/1.50 tff(680,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 4),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 679])).
% 1.94/1.50 tff(681,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(4)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[680])).
% 1.94/1.50 tff(682,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(4)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 681])).
% 1.94/1.50 tff(683,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 682])).
% 1.94/1.50 tff(684,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[683])).
% 1.94/1.50 tff(685,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7),
% 1.94/1.50 inference(transitivity,[status(thm)],[684, 185])).
% 1.94/1.50 tff(686,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)), introduced(assumption)).
% 1.94/1.50 tff(687,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[686, 685])).
% 1.94/1.50 tff(688,plain,($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(689,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[688, 676, 605])).
% 1.94/1.50 tff(690,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 5) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(691,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[690, 689, 601])).
% 1.94/1.50 tff(692,plain,
% 1.94/1.50 ($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(693,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[692, 691])).
% 1.94/1.50 tff(694,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 6) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(695,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[694, 693, 584])).
% 1.94/1.50 tff(696,plain,
% 1.94/1.50 ($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(697,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[696, 695])).
% 1.94/1.50 tff(698,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 7) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(699,plain,
% 1.94/1.50 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[698, 697, 571])).
% 1.94/1.50 tff(700,plain,
% 1.94/1.50 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(701,plain,
% 1.94/1.50 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[700, 530])).
% 1.94/1.50 tff(702,assumption,(~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)), introduced(assumption)).
% 1.94/1.50 tff(703,assumption,(~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)), introduced(assumption)).
% 1.94/1.50 tff(704,plain,
% 1.94/1.50 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 8),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[703, 702])).
% 1.94/1.50 tff(705,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 8),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 704])).
% 1.94/1.50 tff(706,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(8)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[705])).
% 1.94/1.50 tff(707,plain,
% 1.94/1.50 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(8)),
% 1.94/1.50 inference(transitivity,[status(thm)],[563, 706])).
% 1.94/1.50 tff(708,plain,
% 1.94/1.50 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[199, 707])).
% 1.94/1.50 tff(709,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.94/1.50 inference(monotonicity,[status(thm)],[708])).
% 1.94/1.50 tff(710,plain,
% 1.94/1.50 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5),
% 1.94/1.50 inference(transitivity,[status(thm)],[709, 266])).
% 1.94/1.50 tff(711,assumption,(~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)), introduced(assumption)).
% 1.94/1.50 tff(712,plain,
% 1.94/1.50 ($false),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[711, 710])).
% 1.94/1.50 tff(713,plain,($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9) | (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5) | $lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.50 tff(714,plain,
% 1.94/1.50 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[713, 701, 699])).
% 1.94/1.50 tff(715,assumption,(~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)), introduced(assumption)).
% 1.94/1.50 tff(716,plain,
% 1.94/1.50 ($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(717,plain,
% 1.94/1.50 ($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[716, 715])).
% 1.94/1.50 tff(718,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9))),
% 1.94/1.50 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.50 tff(719,plain,
% 1.94/1.50 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9))),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[718, 717])).
% 1.94/1.50 tff(720,plain,
% 1.94/1.50 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9),
% 1.94/1.50 inference(unit_resolution,[status(thm)],[719, 714])).
% 1.94/1.50 tff(721,assumption,(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9), introduced(assumption)).
% 1.94/1.50 tff(722,plain,
% 1.94/1.50 (tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 9),
% 1.94/1.50 inference(transitivity,[status(thm)],[558, 721])).
% 1.94/1.50 tff(723,plain,
% 1.94/1.50 (t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = t2tb(9)),
% 1.94/1.50 inference(monotonicity,[status(thm)],[722])).
% 1.94/1.50 tff(724,plain,
% 1.94/1.51 (t2tb(9) = t2tb(tb2t(t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.94/1.51 inference(symmetry,[status(thm)],[723])).
% 1.94/1.51 tff(725,plain,
% 1.94/1.51 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.94/1.51 inference(transitivity,[status(thm)],[216, 213, 724, 562])).
% 1.94/1.51 tff(726,assumption,(~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 1.94/1.51 tff(727,plain,
% 1.94/1.51 ($false),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[726, 725])).
% 1.94/1.51 tff(728,plain,((~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9)) | (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 1.94/1.51 tff(729,plain,
% 1.94/1.51 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[728, 720])).
% 1.94/1.51 tff(730,plain,
% 1.94/1.51 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.94/1.51 inference(rewrite,[status(thm)],[])).
% 1.94/1.51 tff(731,plain,
% 1.94/1.51 (((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9))))) <=> ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.94/1.51 inference(rewrite,[status(thm)],[])).
% 1.94/1.51 tff(732,plain,
% 1.94/1.51 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))),
% 1.94/1.51 inference(monotonicity,[status(thm)],[731])).
% 1.94/1.51 tff(733,plain,
% 1.94/1.51 (((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))) <=> ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.94/1.51 inference(transitivity,[status(thm)],[732, 730])).
% 1.94/1.51 tff(734,plain,
% 1.94/1.51 ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))))),
% 1.94/1.51 inference(quant_inst,[status(thm)],[])).
% 1.94/1.51 tff(735,plain,
% 1.94/1.51 ((~![A: ty, B: ty, M: uni, A1: uni, A2: uni, B1: uni] : ((get(B, A, set(B, A, M, A1, B1), A2) = B1) | (~(A1 = A2)) | (~sort1(B, B1)))) | (~sort1(int, get(int, int, t2tb1(A9!18), t2tb(9)))) | (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.94/1.51 inference(modus_ponens,[status(thm)],[734, 733])).
% 1.94/1.51 tff(736,plain,
% 1.94/1.51 ((get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))) | (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[735, 446, 436])).
% 1.94/1.51 tff(737,plain,
% 1.94/1.51 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[736, 729])).
% 1.94/1.51 tff(738,plain,
% 1.94/1.51 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.94/1.51 inference(monotonicity,[status(thm)],[226])).
% 1.94/1.51 tff(739,plain,
% 1.94/1.51 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.94/1.51 inference(symmetry,[status(thm)],[738])).
% 1.94/1.51 tff(740,plain,
% 1.94/1.51 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.94/1.51 inference(transitivity,[status(thm)],[739, 737])).
% 1.94/1.51 tff(741,plain,
% 1.94/1.51 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.94/1.51 inference(monotonicity,[status(thm)],[740])).
% 1.94/1.51 tff(742,plain,
% 1.94/1.51 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 6),
% 1.94/1.51 inference(transitivity,[status(thm)],[741, 202])).
% 1.94/1.51 tff(743,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 6)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(744,plain,
% 1.94/1.51 ($false),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[743, 742, 532])).
% 1.94/1.51 tff(745,plain,($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0))), inference(lemma,lemma(discharge,[]))).
% 1.94/1.51 tff(746,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[745, 527, 525])).
% 1.94/1.51 tff(747,plain,
% 1.94/1.51 ((~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10)),
% 1.94/1.51 inference(tautology,[status(thm)],[])).
% 1.94/1.51 tff(748,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[747, 746, 523])).
% 1.94/1.51 tff(749,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(750,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[749, 748])).
% 1.94/1.51 tff(751,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(752,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[751, 750])).
% 1.94/1.51 tff(753,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(754,plain,
% 1.94/1.51 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[753, 752])).
% 1.94/1.51 tff(755,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(756,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[755, 754])).
% 1.94/1.51 tff(757,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(758,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[757, 748])).
% 1.94/1.51 tff(759,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(760,plain,
% 1.94/1.51 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[759, 758])).
% 1.94/1.51 tff(761,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(762,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[761, 758])).
% 1.94/1.51 tff(763,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(764,plain,
% 1.94/1.51 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[763, 762])).
% 1.94/1.51 tff(765,plain,
% 1.94/1.51 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 7)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[570, 764])).
% 1.94/1.51 tff(766,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(767,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[766, 762])).
% 1.94/1.51 tff(768,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(769,plain,
% 1.94/1.51 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[768, 767])).
% 1.94/1.51 tff(770,plain,
% 1.94/1.51 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 6)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[583, 769])).
% 1.94/1.51 tff(771,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(772,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[771, 758])).
% 1.94/1.51 tff(773,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(774,plain,
% 1.94/1.51 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[773, 772])).
% 1.94/1.51 tff(775,plain,
% 1.94/1.51 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 5)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[600, 774])).
% 1.94/1.51 tff(776,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(777,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[776, 748])).
% 1.94/1.51 tff(778,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(779,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[778, 777])).
% 1.94/1.51 tff(780,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(781,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[780, 779])).
% 1.94/1.51 tff(782,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 7)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(783,plain,
% 1.94/1.51 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 7)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[782, 781])).
% 1.94/1.51 tff(784,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(785,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[784, 758])).
% 1.94/1.51 tff(786,plain,
% 1.94/1.51 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.51 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.51 tff(787,plain,
% 1.94/1.51 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)),
% 1.94/1.51 inference(unit_resolution,[status(thm)],[786, 785])).
% 1.94/1.51 tff(788,plain,
% 1.94/1.51 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 2)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(789,plain,
% 1.94/1.52 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 2)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[788, 787])).
% 1.94/1.52 tff(790,plain,
% 1.94/1.52 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 3)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[619, 789])).
% 1.94/1.52 tff(791,plain,
% 1.94/1.52 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(792,plain,
% 1.94/1.52 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[791, 779])).
% 1.94/1.52 tff(793,plain,
% 1.94/1.52 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(794,plain,
% 1.94/1.52 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 3)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[793, 785])).
% 1.94/1.52 tff(795,plain,
% 1.94/1.52 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 1)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[632, 794])).
% 1.94/1.52 tff(796,plain,
% 1.94/1.52 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 9)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(797,plain,
% 1.94/1.52 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 9)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[796, 777])).
% 1.94/1.52 tff(798,plain,
% 1.94/1.52 (~(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[647, 797])).
% 1.94/1.52 tff(799,plain,
% 1.94/1.52 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 0) | (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0))),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[650, 525])).
% 1.94/1.52 tff(800,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[799, 798])).
% 1.94/1.52 tff(801,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[653, 800])).
% 1.94/1.52 tff(802,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 1)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[655, 801, 795])).
% 1.94/1.52 tff(803,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[673, 802, 792])).
% 1.94/1.52 tff(804,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 3)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[675, 803, 790])).
% 1.94/1.52 tff(805,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[688, 804, 783])).
% 1.94/1.52 tff(806,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 5)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[690, 805, 775])).
% 1.94/1.52 tff(807,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[692, 806])).
% 1.94/1.52 tff(808,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 6)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[694, 807, 770])).
% 1.94/1.52 tff(809,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[696, 808])).
% 1.94/1.52 tff(810,plain,
% 1.94/1.52 (~$lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 7)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[698, 809, 765])).
% 1.94/1.52 tff(811,plain,
% 1.94/1.52 ($greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[713, 810, 760])).
% 1.94/1.52 tff(812,plain,
% 1.94/1.52 ($lesseq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[716, 527])).
% 1.94/1.52 tff(813,plain,
% 1.94/1.52 ((tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9) | (~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 9))),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[718, 812])).
% 1.94/1.52 tff(814,plain,
% 1.94/1.52 (tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = 9),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[813, 811])).
% 1.94/1.52 tff(815,plain,
% 1.94/1.52 (t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(9)),
% 1.94/1.52 inference(monotonicity,[status(thm)],[814])).
% 1.94/1.52 tff(816,plain,
% 1.94/1.52 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.94/1.52 inference(monotonicity,[status(thm)],[199, 815])).
% 1.94/1.52 tff(817,plain,
% 1.94/1.52 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.94/1.52 inference(monotonicity,[status(thm)],[816])).
% 1.94/1.52 tff(818,plain,
% 1.94/1.52 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 6),
% 1.94/1.52 inference(transitivity,[status(thm)],[817, 202])).
% 1.94/1.52 tff(819,plain,
% 1.94/1.52 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 6)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 6)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(820,plain,
% 1.94/1.52 ($false),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[819, 818, 756])).
% 1.94/1.52 tff(821,plain,((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.52 tff(822,plain,
% 1.94/1.52 ((~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))) | range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10)))),
% 1.94/1.52 inference(tautology,[status(thm)],[])).
% 1.94/1.52 tff(823,plain,
% 1.94/1.52 ((~(range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~((~$greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0)) | (~((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 10))) | $greatereq(tptp_fun_I_4(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 10))))) | range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[822, 821])).
% 1.94/1.52 tff(824,plain,
% 1.94/1.52 (range2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[823, 520])).
% 1.94/1.52 tff(825,plain,
% 1.94/1.52 ($false),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[824, 492])).
% 1.94/1.52 tff(826,plain,(range2(A9!18, 10)), inference(lemma,lemma(discharge,[]))).
% 1.94/1.52 tff(827,plain,
% 1.94/1.52 ((~(~((~injective2(A9!18, 10)) | (~range2(A9!18, 10))))) <=> ((~injective2(A9!18, 10)) | (~range2(A9!18, 10)))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(828,plain,
% 1.94/1.52 ((injective2(A9!18, 10) & range2(A9!18, 10)) <=> (~((~injective2(A9!18, 10)) | (~range2(A9!18, 10))))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(829,plain,
% 1.94/1.52 ((~(injective2(A9!18, 10) & range2(A9!18, 10))) <=> (~(~((~injective2(A9!18, 10)) | (~range2(A9!18, 10)))))),
% 1.94/1.52 inference(monotonicity,[status(thm)],[828])).
% 1.94/1.52 tff(830,plain,
% 1.94/1.52 ((~(injective2(A9!18, 10) & range2(A9!18, 10))) <=> ((~injective2(A9!18, 10)) | (~range2(A9!18, 10)))),
% 1.94/1.52 inference(transitivity,[status(thm)],[829, 827])).
% 1.94/1.52 tff(831,plain,
% 1.94/1.52 (~(injective2(A9!18, 10) & range2(A9!18, 10))),
% 1.94/1.52 inference(or_elim,[status(thm)],[46])).
% 1.94/1.52 tff(832,plain,
% 1.94/1.52 ((~injective2(A9!18, 10)) | (~range2(A9!18, 10))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[831, 830])).
% 1.94/1.52 tff(833,plain,
% 1.94/1.52 (~injective2(A9!18, 10)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[832, 826])).
% 1.94/1.52 tff(834,plain,
% 1.94/1.52 (~injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10)),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[833, 487])).
% 1.94/1.52 tff(835,plain,
% 1.94/1.52 ((~(injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1)))) | injective2(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))), 10) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1))),
% 1.94/1.52 inference(tautology,[status(thm)],[])).
% 1.94/1.52 tff(836,plain,
% 1.94/1.52 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[835, 834, 483])).
% 1.94/1.52 tff(837,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 1)), introduced(assumption)).
% 1.94/1.52 tff(838,plain,
% 1.94/1.52 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 1)),
% 1.94/1.52 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.52 tff(839,plain,
% 1.94/1.52 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)),
% 1.94/1.52 inference(unit_resolution,[status(thm)],[838, 837])).
% 1.94/1.52 tff(840,plain,
% 1.94/1.52 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : refl(($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)))),
% 1.94/1.52 inference(bind,[status(th)],[])).
% 1.94/1.52 tff(841,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))),
% 1.94/1.52 inference(quant_intro,[status(thm)],[840])).
% 1.94/1.52 tff(842,plain,
% 1.94/1.52 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(trans(monotonicity(rewrite($sum(U, $product(-1, L)) = $sum($product(-1, L), U)), ($lesseq($sum(U, $product(-1, L)), 0) <=> $lesseq($sum($product(-1, L), U), 0))), rewrite($lesseq($sum($product(-1, L), U), 0) <=> $greatereq($sum(L, $product(-1, U)), 0)), ($lesseq($sum(U, $product(-1, L)), 0) <=> $greatereq($sum(L, $product(-1, U)), 0))), (((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0)) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $greatereq($sum(L, $product(-1, U)), 0)))), rewrite(((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $greatereq($sum(L, $product(-1, U)), 0)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))), (((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0)) <=> ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))))),
% 1.94/1.52 inference(bind,[status(th)],[])).
% 1.94/1.52 tff(843,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0)) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))),
% 1.94/1.52 inference(quant_intro,[status(thm)],[842])).
% 1.94/1.52 tff(844,plain,
% 1.94/1.52 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite($lesseq(U, L) <=> $lesseq($sum(U, $product(-1, L)), 0)), rewrite((occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))) <=> ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)), (($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))) <=> ($lesseq($sum(U, $product(-1, L)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)))), rewrite(($lesseq($sum(U, $product(-1, L)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1)) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0))), (($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0))))),
% 1.94/1.52 inference(bind,[status(th)],[])).
% 1.94/1.52 tff(845,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0))),
% 1.94/1.52 inference(quant_intro,[status(thm)],[844])).
% 1.94/1.52 tff(846,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(847,plain,
% 1.94/1.52 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite($less(L, U) <=> (~$lesseq(U, L))), trans(monotonicity(rewrite((get(A, int, M, t2tb($difference(U, 1))) = V) <=> (get(A, int, M, t2tb($sum(-1, U))) = V)), rewrite((occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1)))) <=> (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))), (((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1))))) <=> ((get(A, int, M, t2tb($sum(-1, U))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))))), rewrite(((get(A, int, M, t2tb($sum(-1, U))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))), (((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1))))) <=> ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U))))))), (($less(L, U) => ((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1)))))) <=> ((~$lesseq(U, L)) => ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))))), rewrite(((~$lesseq(U, L)) => ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))) <=> ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))), (($less(L, U) => ((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1)))))) <=> ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))))),
% 1.94/1.52 inference(bind,[status(th)],[])).
% 1.94/1.52 tff(848,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($less(L, U) => ((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1)))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))),
% 1.94/1.52 inference(quant_intro,[status(thm)],[847])).
% 1.94/1.52 tff(849,axiom,(![A: ty, V: uni, M: uni, L: $int, U: $int] : ($less(L, U) => ((get(A, int, M, t2tb($difference(U, 1))) = V) => (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $difference(U, 1))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ_right_add')).
% 1.94/1.52 tff(850,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[849, 848])).
% 1.94/1.52 tff(851,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(U, L) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | (occ1(A, V, M, L, U) = $sum(1, occ1(A, V, M, L, $sum(-1, U)))))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[850, 846])).
% 1.94/1.52 tff(852,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1) | $lesseq($sum(U, $product(-1, L)), 0))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[851, 845])).
% 1.94/1.52 tff(853,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[852, 843])).
% 1.94/1.52 tff(854,plain,(
% 1.94/1.52 ![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))),
% 1.94/1.52 inference(skolemize,[status(sab)],[853])).
% 1.94/1.52 tff(855,plain,
% 1.94/1.52 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))),
% 1.94/1.52 inference(modus_ponens,[status(thm)],[854, 841])).
% 1.94/1.52 tff(856,plain,
% 1.94/1.52 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(857,plain,
% 1.94/1.52 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(858,plain,
% 1.94/1.52 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(859,plain,
% 1.94/1.52 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(860,plain,
% 1.94/1.52 ($greatereq(-6, 0) <=> $false),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(861,plain,
% 1.94/1.52 ($sum(0, -6) = -6),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(862,plain,
% 1.94/1.52 ($product(-1, 6) = -6),
% 1.94/1.52 inference(rewrite,[status(thm)],[])).
% 1.94/1.52 tff(863,plain,
% 1.94/1.52 ($sum(0, $product(-1, 6)) = $sum(0, -6)),
% 1.94/1.52 inference(monotonicity,[status(thm)],[862])).
% 1.94/1.52 tff(864,plain,
% 1.94/1.52 ($sum(0, $product(-1, 6)) = -6),
% 1.94/1.52 inference(transitivity,[status(thm)],[863, 861])).
% 1.94/1.52 tff(865,plain,
% 1.94/1.52 ($greatereq($sum(0, $product(-1, 6)), 0) <=> $greatereq(-6, 0)),
% 1.94/1.52 inference(monotonicity,[status(thm)],[864])).
% 1.94/1.52 tff(866,plain,
% 1.94/1.52 ($greatereq($sum(0, $product(-1, 6)), 0) <=> $false),
% 1.94/1.52 inference(transitivity,[status(thm)],[865, 860])).
% 1.94/1.52 tff(867,plain,
% 1.94/1.52 (($greatereq($sum(0, $product(-1, 6)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))),
% 1.94/1.52 inference(monotonicity,[status(thm)],[866, 859, 858])).
% 1.94/1.52 tff(868,plain,
% 1.94/1.52 (($greatereq($sum(0, $product(-1, 6)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))),
% 1.94/1.52 inference(transitivity,[status(thm)],[867, 857])).
% 1.94/1.52 tff(869,plain,
% 1.94/1.52 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)))),
% 1.94/1.52 inference(monotonicity,[status(thm)],[868])).
% 1.94/1.52 tff(870,plain,
% 1.94/1.52 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1))),
% 1.94/1.52 inference(transitivity,[status(thm)],[869, 856])).
% 1.94/1.52 tff(871,plain,
% 1.94/1.52 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 1))),
% 1.94/1.53 inference(quant_inst,[status(thm)],[])).
% 1.94/1.53 tff(872,plain,
% 1.94/1.53 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)),
% 1.94/1.53 inference(modus_ponens,[status(thm)],[871, 870])).
% 1.94/1.53 tff(873,plain,
% 1.94/1.53 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 1)),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[872, 855])).
% 1.94/1.53 tff(874,plain,
% 1.94/1.53 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[873, 839])).
% 1.94/1.53 tff(875,plain,
% 1.94/1.53 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 1)),
% 1.94/1.53 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.53 tff(876,plain,
% 1.94/1.53 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[875, 837])).
% 1.94/1.53 tff(877,plain,
% 1.94/1.53 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 1.94/1.53 inference(theory_lemma,[status(thm)],[])).
% 1.94/1.53 tff(878,plain,
% 1.94/1.53 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[877, 876])).
% 1.94/1.53 tff(879,plain,
% 1.94/1.53 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))),
% 1.94/1.53 inference(rewrite,[status(thm)],[])).
% 1.94/1.53 tff(880,plain,
% 1.94/1.53 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))),
% 1.94/1.53 inference(rewrite,[status(thm)],[])).
% 1.94/1.53 tff(881,plain,
% 1.94/1.53 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 1.94/1.53 inference(rewrite,[status(thm)],[])).
% 1.94/1.53 tff(882,plain,
% 1.94/1.53 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.94/1.53 inference(rewrite,[status(thm)],[])).
% 1.94/1.53 tff(883,plain,
% 1.94/1.53 (($greatereq($sum(0, $product(-1, 6)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))),
% 1.94/1.53 inference(monotonicity,[status(thm)],[866, 882, 881])).
% 1.94/1.53 tff(884,plain,
% 1.94/1.53 (($greatereq($sum(0, $product(-1, 6)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))),
% 1.94/1.53 inference(transitivity,[status(thm)],[883, 880])).
% 1.94/1.53 tff(885,plain,
% 1.94/1.53 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)))),
% 1.94/1.53 inference(monotonicity,[status(thm)],[884])).
% 1.94/1.53 tff(886,plain,
% 1.94/1.53 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0))),
% 1.94/1.53 inference(transitivity,[status(thm)],[885, 879])).
% 1.94/1.53 tff(887,plain,
% 1.94/1.53 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 6)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 6))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 6)))) = 0))),
% 1.94/1.53 inference(quant_inst,[status(thm)],[])).
% 1.94/1.53 tff(888,plain,
% 1.94/1.53 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 1.94/1.53 inference(modus_ponens,[status(thm)],[887, 886])).
% 1.94/1.53 tff(889,plain,
% 1.94/1.53 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[888, 111, 95])).
% 1.94/1.53 tff(890,plain,
% 1.94/1.53 ($false),
% 1.94/1.53 inference(unit_resolution,[status(thm)],[889, 878, 874])).
% 1.98/1.53 tff(891,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.53 tff(892,plain,
% 1.98/1.53 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10) = occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10)),
% 1.98/1.53 inference(monotonicity,[status(thm)],[201])).
% 1.98/1.53 tff(893,plain,
% 1.98/1.53 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10) = occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10)),
% 1.98/1.53 inference(symmetry,[status(thm)],[892])).
% 1.98/1.53 tff(894,plain,
% 1.98/1.53 ((~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10) = occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0)),
% 1.98/1.53 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.53 tff(895,plain,
% 1.98/1.53 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0)),
% 1.98/1.53 inference(unit_resolution,[status(thm)],[894, 893])).
% 1.98/1.53 tff(896,plain,
% 1.98/1.53 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 1)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 1.98/1.53 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.53 tff(897,plain,
% 1.98/1.53 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.53 inference(unit_resolution,[status(thm)],[896, 895, 891, 836])).
% 1.98/1.53 tff(898,plain,
% 1.98/1.53 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 1.98/1.53 inference(unit_resolution,[status(thm)],[897, 183, 182, 466, 465])).
% 1.98/1.53 tff(899,plain,
% 1.98/1.53 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 1.98/1.53 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.53 tff(900,plain,
% 1.98/1.53 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.53 inference(unit_resolution,[status(thm)],[899, 898])).
% 1.98/1.53 tff(901,plain,
% 1.98/1.53 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(902,plain,
% 1.98/1.54 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(903,plain,
% 1.98/1.54 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(904,plain,
% 1.98/1.54 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(905,plain,
% 1.98/1.54 ($greatereq(-10, 0) <=> $false),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(906,plain,
% 1.98/1.54 ($sum(0, -10) = -10),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(907,plain,
% 1.98/1.54 ($product(-1, 10) = -10),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(908,plain,
% 1.98/1.54 ($sum(0, $product(-1, 10)) = $sum(0, -10)),
% 1.98/1.54 inference(monotonicity,[status(thm)],[907])).
% 1.98/1.54 tff(909,plain,
% 1.98/1.54 ($sum(0, $product(-1, 10)) = -10),
% 1.98/1.54 inference(transitivity,[status(thm)],[908, 906])).
% 1.98/1.54 tff(910,plain,
% 1.98/1.54 ($greatereq($sum(0, $product(-1, 10)), 0) <=> $greatereq(-10, 0)),
% 1.98/1.54 inference(monotonicity,[status(thm)],[909])).
% 1.98/1.54 tff(911,plain,
% 1.98/1.54 ($greatereq($sum(0, $product(-1, 10)), 0) <=> $false),
% 1.98/1.54 inference(transitivity,[status(thm)],[910, 905])).
% 1.98/1.54 tff(912,plain,
% 1.98/1.54 (($greatereq($sum(0, $product(-1, 10)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))),
% 1.98/1.54 inference(monotonicity,[status(thm)],[911, 904, 903])).
% 1.98/1.54 tff(913,plain,
% 1.98/1.54 (($greatereq($sum(0, $product(-1, 10)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))),
% 1.98/1.54 inference(transitivity,[status(thm)],[912, 902])).
% 1.98/1.54 tff(914,plain,
% 1.98/1.54 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)))),
% 1.98/1.54 inference(monotonicity,[status(thm)],[913])).
% 1.98/1.54 tff(915,plain,
% 1.98/1.54 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0))),
% 1.98/1.54 inference(transitivity,[status(thm)],[914, 901])).
% 1.98/1.54 tff(916,plain,
% 1.98/1.54 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 0))),
% 1.98/1.54 inference(quant_inst,[status(thm)],[])).
% 1.98/1.54 tff(917,plain,
% 1.98/1.54 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.54 inference(modus_ponens,[status(thm)],[916, 915])).
% 1.98/1.54 tff(918,plain,
% 1.98/1.54 ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.54 inference(unit_resolution,[status(thm)],[917, 111])).
% 1.98/1.54 tff(919,plain,
% 1.98/1.54 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.54 inference(unit_resolution,[status(thm)],[918, 95])).
% 1.98/1.54 tff(920,plain,
% 1.98/1.54 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.54 inference(unit_resolution,[status(thm)],[919, 900])).
% 1.98/1.54 tff(921,plain,
% 1.98/1.54 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9))),
% 1.98/1.54 inference(symmetry,[status(thm)],[920])).
% 1.98/1.54 tff(922,plain,
% 1.98/1.54 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.98/1.54 inference(transitivity,[status(thm)],[921, 464])).
% 1.98/1.54 tff(923,plain,
% 1.98/1.54 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.98/1.54 inference(monotonicity,[status(thm)],[922])).
% 1.98/1.54 tff(924,plain,
% 1.98/1.54 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 6),
% 1.98/1.54 inference(transitivity,[status(thm)],[923, 202])).
% 1.98/1.54 tff(925,plain,
% 1.98/1.54 ((~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0))),
% 1.98/1.54 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.54 tff(926,plain,
% 1.98/1.54 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)),
% 1.98/1.54 inference(unit_resolution,[status(thm)],[925, 466])).
% 1.98/1.54 tff(927,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 1)), introduced(assumption)).
% 1.98/1.54 tff(928,plain,
% 1.98/1.54 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 1)),
% 1.98/1.54 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.54 tff(929,plain,
% 1.98/1.54 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)),
% 1.98/1.54 inference(unit_resolution,[status(thm)],[928, 927])).
% 1.98/1.54 tff(930,plain,
% 1.98/1.54 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(931,plain,
% 1.98/1.54 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(932,plain,
% 1.98/1.54 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(933,plain,
% 1.98/1.54 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.54 inference(rewrite,[status(thm)],[])).
% 1.98/1.54 tff(934,plain,
% 1.98/1.54 (($greatereq($sum(0, $product(-1, 10)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))),
% 1.98/1.54 inference(monotonicity,[status(thm)],[911, 933, 932])).
% 1.98/1.54 tff(935,plain,
% 1.98/1.54 (($greatereq($sum(0, $product(-1, 10)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))),
% 1.98/1.54 inference(transitivity,[status(thm)],[934, 931])).
% 1.98/1.54 tff(936,plain,
% 1.98/1.54 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)))),
% 1.98/1.54 inference(monotonicity,[status(thm)],[935])).
% 1.98/1.54 tff(937,plain,
% 1.98/1.54 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1))),
% 1.98/1.55 inference(transitivity,[status(thm)],[936, 930])).
% 1.98/1.55 tff(938,plain,
% 1.98/1.55 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 10)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 10))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 10)))) = 1))),
% 1.98/1.55 inference(quant_inst,[status(thm)],[])).
% 1.98/1.55 tff(939,plain,
% 1.98/1.55 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)),
% 1.98/1.55 inference(modus_ponens,[status(thm)],[938, 937])).
% 1.98/1.55 tff(940,plain,
% 1.98/1.55 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 1)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[939, 855])).
% 1.98/1.55 tff(941,plain,
% 1.98/1.55 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[940, 929])).
% 1.98/1.55 tff(942,plain,
% 1.98/1.55 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 1)),
% 1.98/1.55 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.55 tff(943,plain,
% 1.98/1.55 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[942, 927])).
% 1.98/1.55 tff(944,plain,
% 1.98/1.55 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[899, 943])).
% 1.98/1.55 tff(945,plain,
% 1.98/1.55 ($false),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[919, 944, 941])).
% 1.98/1.55 tff(946,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.55 tff(947,assumption,(~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)), introduced(assumption)).
% 1.98/1.55 tff(948,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)), introduced(assumption)).
% 1.98/1.55 tff(949,plain,
% 1.98/1.55 ($false),
% 1.98/1.55 inference(theory_lemma,[status(thm)],[948, 183, 182, 947, 946, 836, 895, 465])).
% 1.98/1.55 tff(950,plain,((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.55 tff(951,plain,
% 1.98/1.55 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[950, 183, 182, 926, 465])).
% 1.98/1.55 tff(952,plain,
% 1.98/1.55 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[877, 951])).
% 1.98/1.55 tff(953,plain,
% 1.98/1.55 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[889, 952])).
% 1.98/1.55 tff(954,plain,
% 1.98/1.55 (get(int, int, t2tb1(A9!18), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.55 inference(transitivity,[status(thm)],[175, 953])).
% 1.98/1.55 tff(955,plain,
% 1.98/1.55 (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.55 inference(monotonicity,[status(thm)],[954])).
% 1.98/1.55 tff(956,plain,
% 1.98/1.55 (4 = 6),
% 1.98/1.55 inference(transitivity,[status(thm)],[186, 955, 924])).
% 1.98/1.55 tff(957,plain,
% 1.98/1.55 ($false),
% 1.98/1.55 inference(modus_ponens,[status(thm)],[956, 462])).
% 1.98/1.55 tff(958,plain,($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.55 tff(959,plain,
% 1.98/1.55 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[958, 461, 183, 182])).
% 1.98/1.55 tff(960,plain,
% 1.98/1.55 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 1.98/1.55 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.55 tff(961,plain,
% 1.98/1.55 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[960, 959])).
% 1.98/1.55 tff(962,assumption,(~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)), introduced(assumption)).
% 1.98/1.55 tff(963,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 1.98/1.55 tff(964,plain,
% 1.98/1.55 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(965,plain,
% 1.98/1.55 (($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(966,plain,
% 1.98/1.55 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(967,plain,
% 1.98/1.55 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) <=> (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(968,plain,
% 1.98/1.55 ($greatereq(-9, 0) <=> $false),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(969,plain,
% 1.98/1.55 ($sum(0, -9) = -9),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(970,plain,
% 1.98/1.55 ($product(-1, 9) = -9),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(971,plain,
% 1.98/1.55 ($sum(0, $product(-1, 9)) = $sum(0, -9)),
% 1.98/1.55 inference(monotonicity,[status(thm)],[970])).
% 1.98/1.55 tff(972,plain,
% 1.98/1.55 ($sum(0, $product(-1, 9)) = -9),
% 1.98/1.55 inference(transitivity,[status(thm)],[971, 969])).
% 1.98/1.55 tff(973,plain,
% 1.98/1.55 ($greatereq($sum(0, $product(-1, 9)), 0) <=> $greatereq(-9, 0)),
% 1.98/1.55 inference(monotonicity,[status(thm)],[972])).
% 1.98/1.55 tff(974,plain,
% 1.98/1.55 ($greatereq($sum(0, $product(-1, 9)), 0) <=> $false),
% 1.98/1.55 inference(transitivity,[status(thm)],[973, 968])).
% 1.98/1.55 tff(975,plain,
% 1.98/1.55 (($greatereq($sum(0, $product(-1, 9)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0)) <=> ($false | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))),
% 1.98/1.55 inference(monotonicity,[status(thm)],[974, 967, 966])).
% 1.98/1.55 tff(976,plain,
% 1.98/1.55 (($greatereq($sum(0, $product(-1, 9)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0)) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))),
% 1.98/1.55 inference(transitivity,[status(thm)],[975, 965])).
% 1.98/1.55 tff(977,plain,
% 1.98/1.55 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)))),
% 1.98/1.55 inference(monotonicity,[status(thm)],[976])).
% 1.98/1.55 tff(978,plain,
% 1.98/1.55 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0))),
% 1.98/1.55 inference(transitivity,[status(thm)],[977, 964])).
% 1.98/1.55 tff(979,plain,
% 1.98/1.55 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 0))),
% 1.98/1.55 inference(quant_inst,[status(thm)],[])).
% 1.98/1.55 tff(980,plain,
% 1.98/1.55 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (get(A, int, M, t2tb($sum(-1, U))) = V) | (~sort1(A, V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 0))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.55 inference(modus_ponens,[status(thm)],[979, 978])).
% 1.98/1.55 tff(981,plain,
% 1.98/1.55 ($false),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[980, 111, 95, 963, 962])).
% 1.98/1.55 tff(982,plain,(($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.55 tff(983,plain,
% 1.98/1.55 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[982, 961])).
% 1.98/1.55 tff(984,plain,
% 1.98/1.55 (get(int, int, t2tb1(A9!18), t2tb(8)) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8))),
% 1.98/1.55 inference(monotonicity,[status(thm)],[59])).
% 1.98/1.55 tff(985,plain,
% 1.98/1.55 (get(int, int, t2tb1(A9!18), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.55 inference(transitivity,[status(thm)],[984, 983])).
% 1.98/1.55 tff(986,plain,
% 1.98/1.55 (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.55 inference(monotonicity,[status(thm)],[985])).
% 1.98/1.55 tff(987,plain,
% 1.98/1.55 (5 = tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.98/1.55 inference(symmetry,[status(thm)],[266])).
% 1.98/1.55 tff(988,plain,
% 1.98/1.55 (5 = 4),
% 1.98/1.55 inference(transitivity,[status(thm)],[987, 986, 181])).
% 1.98/1.55 tff(989,plain,
% 1.98/1.55 ($false),
% 1.98/1.55 inference(modus_ponens,[status(thm)],[988, 173])).
% 1.98/1.55 tff(990,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.55 tff(991,plain,
% 1.98/1.55 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[990, 172, 135])).
% 1.98/1.55 tff(992,plain,
% 1.98/1.55 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[889, 991])).
% 1.98/1.55 tff(993,plain,
% 1.98/1.55 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 1.98/1.55 inference(unit_resolution,[status(thm)],[877, 992])).
% 1.98/1.55 tff(994,plain,
% 1.98/1.55 ((0 = 6) <=> $false),
% 1.98/1.55 inference(rewrite,[status(thm)],[])).
% 1.98/1.55 tff(995,assumption,($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)), introduced(assumption)).
% 1.98/1.55 tff(996,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)), introduced(assumption)).
% 1.98/1.56 tff(997,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)), introduced(assumption)).
% 1.98/1.56 tff(998,plain,
% 1.98/1.56 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 1.98/1.56 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.56 tff(999,plain,
% 1.98/1.56 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[998, 997])).
% 1.98/1.56 tff(1000,plain,
% 1.98/1.56 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[132, 999])).
% 1.98/1.56 tff(1001,plain,
% 1.98/1.56 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 1.98/1.56 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.56 tff(1002,plain,
% 1.98/1.56 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1001, 997])).
% 1.98/1.56 tff(1003,plain,
% 1.98/1.56 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1004,plain,
% 1.98/1.56 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1005,plain,
% 1.98/1.56 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1006,plain,
% 1.98/1.56 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1007,plain,
% 1.98/1.56 (($greatereq($sum(0, $product(-1, 8)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))),
% 1.98/1.56 inference(monotonicity,[status(thm)],[122, 1006, 1005])).
% 1.98/1.56 tff(1008,plain,
% 1.98/1.56 (($greatereq($sum(0, $product(-1, 8)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))),
% 1.98/1.56 inference(transitivity,[status(thm)],[1007, 1004])).
% 1.98/1.56 tff(1009,plain,
% 1.98/1.56 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)))),
% 1.98/1.56 inference(monotonicity,[status(thm)],[1008])).
% 1.98/1.56 tff(1010,plain,
% 1.98/1.56 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1))),
% 1.98/1.56 inference(transitivity,[status(thm)],[1009, 1003])).
% 1.98/1.56 tff(1011,plain,
% 1.98/1.56 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 8)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 8))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 8)))) = 1))),
% 1.98/1.56 inference(quant_inst,[status(thm)],[])).
% 1.98/1.56 tff(1012,plain,
% 1.98/1.56 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)),
% 1.98/1.56 inference(modus_ponens,[status(thm)],[1011, 1010])).
% 1.98/1.56 tff(1013,plain,
% 1.98/1.56 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 1)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1012, 855])).
% 1.98/1.56 tff(1014,plain,
% 1.98/1.56 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1013, 1002])).
% 1.98/1.56 tff(1015,plain,
% 1.98/1.56 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[128, 111, 95])).
% 1.98/1.56 tff(1016,plain,
% 1.98/1.56 ($false),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1015, 1014, 1000])).
% 1.98/1.56 tff(1017,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.56 tff(1018,plain,
% 1.98/1.56 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 1.98/1.56 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.56 tff(1019,plain,
% 1.98/1.56 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1018, 895, 1017, 836])).
% 1.98/1.56 tff(1020,plain,
% 1.98/1.56 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1019, 466, 995, 996])).
% 1.98/1.56 tff(1021,plain,
% 1.98/1.56 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[169, 1020])).
% 1.98/1.56 tff(1022,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)), introduced(assumption)).
% 1.98/1.56 tff(1023,plain,
% 1.98/1.56 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 1.98/1.56 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.56 tff(1024,plain,
% 1.98/1.56 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)),
% 1.98/1.56 inference(unit_resolution,[status(thm)],[1023, 1022])).
% 1.98/1.56 tff(1025,plain,
% 1.98/1.56 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1026,plain,
% 1.98/1.56 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1027,plain,
% 1.98/1.56 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1028,plain,
% 1.98/1.56 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.56 inference(rewrite,[status(thm)],[])).
% 1.98/1.56 tff(1029,plain,
% 1.98/1.56 (($greatereq($sum(0, $product(-1, 7)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))),
% 1.98/1.57 inference(monotonicity,[status(thm)],[159, 1028, 1027])).
% 1.98/1.57 tff(1030,plain,
% 1.98/1.57 (($greatereq($sum(0, $product(-1, 7)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))),
% 1.98/1.57 inference(transitivity,[status(thm)],[1029, 1026])).
% 1.98/1.57 tff(1031,plain,
% 1.98/1.57 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)))),
% 1.98/1.57 inference(monotonicity,[status(thm)],[1030])).
% 1.98/1.57 tff(1032,plain,
% 1.98/1.57 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1))),
% 1.98/1.57 inference(transitivity,[status(thm)],[1031, 1025])).
% 1.98/1.57 tff(1033,plain,
% 1.98/1.57 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 7)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 7))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 7)))) = 1))),
% 1.98/1.57 inference(quant_inst,[status(thm)],[])).
% 1.98/1.57 tff(1034,plain,
% 1.98/1.57 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)),
% 1.98/1.57 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 1.98/1.57 tff(1035,plain,
% 1.98/1.57 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 1)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1034, 855])).
% 1.98/1.57 tff(1036,plain,
% 1.98/1.57 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1035, 1024])).
% 1.98/1.57 tff(1037,plain,
% 1.98/1.57 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 1.98/1.57 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.57 tff(1038,plain,
% 1.98/1.57 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1037, 1022])).
% 1.98/1.57 tff(1039,plain,
% 1.98/1.57 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[169, 1038])).
% 1.98/1.57 tff(1040,plain,
% 1.98/1.57 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[165, 111, 95])).
% 1.98/1.57 tff(1041,plain,
% 1.98/1.57 ($false),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1040, 1039, 1036])).
% 1.98/1.57 tff(1042,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.57 tff(1043,plain,
% 1.98/1.57 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 1.98/1.57 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.57 tff(1044,plain,
% 1.98/1.57 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1043, 895, 836])).
% 1.98/1.57 tff(1045,plain,
% 1.98/1.57 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1044, 1042])).
% 1.98/1.57 tff(1046,plain,
% 1.98/1.57 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1045, 466, 995, 996])).
% 1.98/1.57 tff(1047,plain,
% 1.98/1.57 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[132, 1046])).
% 1.98/1.57 tff(1048,plain,
% 1.98/1.57 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[128, 111, 95, 1047])).
% 1.98/1.57 tff(1049,plain,
% 1.98/1.57 ((0 = 1) <=> $false),
% 1.98/1.57 inference(rewrite,[status(thm)],[])).
% 1.98/1.57 tff(1050,plain,
% 1.98/1.57 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 1.98/1.57 inference(symmetry,[status(thm)],[76])).
% 1.98/1.57 tff(1051,plain,
% 1.98/1.57 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7))),
% 1.98/1.57 inference(symmetry,[status(thm)],[75])).
% 1.98/1.57 tff(1052,plain,
% 1.98/1.57 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 1.98/1.57 inference(transitivity,[status(thm)],[1051, 1050])).
% 1.98/1.57 tff(1053,plain,
% 1.98/1.57 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))),
% 1.98/1.57 inference(monotonicity,[status(thm)],[1052])).
% 1.98/1.57 tff(1054,plain,
% 1.98/1.57 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 1),
% 1.98/1.57 inference(transitivity,[status(thm)],[1053, 79])).
% 1.98/1.57 tff(1055,plain,
% 1.98/1.57 (0 = 1),
% 1.98/1.57 inference(transitivity,[status(thm)],[142, 140, 1054])).
% 1.98/1.57 tff(1056,plain,
% 1.98/1.57 ($false),
% 1.98/1.57 inference(modus_ponens,[status(thm)],[1055, 1049])).
% 1.98/1.57 tff(1057,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.57 tff(1058,plain,
% 1.98/1.57 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1057, 1048])).
% 1.98/1.57 tff(1059,plain,
% 1.98/1.57 ($false),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[165, 111, 95, 1058, 1021])).
% 1.98/1.57 tff(1060,plain,((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.57 tff(1061,plain,
% 1.98/1.57 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1060, 996, 995])).
% 1.98/1.57 tff(1062,plain,
% 1.98/1.57 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[960, 1061])).
% 1.98/1.57 tff(1063,plain,
% 1.98/1.57 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[980, 111, 95])).
% 1.98/1.57 tff(1064,plain,
% 1.98/1.57 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1063, 1062])).
% 1.98/1.57 tff(1065,plain,
% 1.98/1.57 ((0 = 5) <=> $false),
% 1.98/1.57 inference(rewrite,[status(thm)],[])).
% 1.98/1.57 tff(1066,plain,
% 1.98/1.57 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.98/1.57 inference(symmetry,[status(thm)],[984])).
% 1.98/1.57 tff(1067,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.98/1.57 tff(1068,plain,
% 1.98/1.57 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8))),
% 1.98/1.57 inference(symmetry,[status(thm)],[1067])).
% 1.98/1.57 tff(1069,plain,
% 1.98/1.57 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.98/1.57 inference(transitivity,[status(thm)],[1068, 1066])).
% 1.98/1.57 tff(1070,plain,
% 1.98/1.57 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.98/1.57 inference(monotonicity,[status(thm)],[1069])).
% 1.98/1.57 tff(1071,plain,
% 1.98/1.57 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 5),
% 1.98/1.57 inference(transitivity,[status(thm)],[1070, 266])).
% 1.98/1.57 tff(1072,plain,
% 1.98/1.57 (0 = 5),
% 1.98/1.57 inference(transitivity,[status(thm)],[142, 140, 1071])).
% 1.98/1.57 tff(1073,plain,
% 1.98/1.57 ($false),
% 1.98/1.57 inference(modus_ponens,[status(thm)],[1072, 1065])).
% 1.98/1.57 tff(1074,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.57 tff(1075,plain,
% 1.98/1.57 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1074, 1064])).
% 1.98/1.57 tff(1076,plain,
% 1.98/1.57 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1040, 1075])).
% 1.98/1.57 tff(1077,plain,
% 1.98/1.57 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[169, 1076])).
% 1.98/1.57 tff(1078,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)), introduced(assumption)).
% 1.98/1.57 tff(1079,plain,
% 1.98/1.57 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)),
% 1.98/1.57 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.57 tff(1080,plain,
% 1.98/1.57 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1079, 1078])).
% 1.98/1.57 tff(1081,plain,
% 1.98/1.57 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[960, 1080])).
% 1.98/1.57 tff(1082,plain,
% 1.98/1.57 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)),
% 1.98/1.57 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.57 tff(1083,plain,
% 1.98/1.57 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)),
% 1.98/1.57 inference(unit_resolution,[status(thm)],[1082, 1078])).
% 1.98/1.57 tff(1084,plain,
% 1.98/1.57 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))),
% 1.98/1.57 inference(rewrite,[status(thm)],[])).
% 1.98/1.57 tff(1085,plain,
% 1.98/1.57 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))),
% 1.98/1.57 inference(rewrite,[status(thm)],[])).
% 1.98/1.57 tff(1086,plain,
% 1.98/1.57 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1087,plain,
% 1.98/1.58 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1088,plain,
% 1.98/1.58 (($greatereq($sum(0, $product(-1, 9)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[974, 1087, 1086])).
% 1.98/1.58 tff(1089,plain,
% 1.98/1.58 (($greatereq($sum(0, $product(-1, 9)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))),
% 1.98/1.58 inference(transitivity,[status(thm)],[1088, 1085])).
% 1.98/1.58 tff(1090,plain,
% 1.98/1.58 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1089])).
% 1.98/1.58 tff(1091,plain,
% 1.98/1.58 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1))),
% 1.98/1.58 inference(transitivity,[status(thm)],[1090, 1084])).
% 1.98/1.58 tff(1092,plain,
% 1.98/1.58 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 9)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 9))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 9)))) = 1))),
% 1.98/1.58 inference(quant_inst,[status(thm)],[])).
% 1.98/1.58 tff(1093,plain,
% 1.98/1.58 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 1.98/1.58 tff(1094,plain,
% 1.98/1.58 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 1)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1093, 855])).
% 1.98/1.58 tff(1095,plain,
% 1.98/1.58 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1094, 1083])).
% 1.98/1.58 tff(1096,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1063, 1095, 1081])).
% 1.98/1.58 tff(1097,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1098,plain,
% 1.98/1.58 ((1 = 5) <=> $false),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1099,plain,
% 1.98/1.58 (1 = 5),
% 1.98/1.58 inference(transitivity,[status(thm)],[80, 78, 1071])).
% 1.98/1.58 tff(1100,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 1.98/1.58 tff(1101,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1102,plain,
% 1.98/1.58 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1101, 1064])).
% 1.98/1.58 tff(1103,plain,
% 1.98/1.58 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1015, 1102])).
% 1.98/1.58 tff(1104,plain,
% 1.98/1.58 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[132, 1103])).
% 1.98/1.58 tff(1105,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[995, 1104, 1097, 996, 836, 895, 1077])).
% 1.98/1.58 tff(1106,plain,((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1107,plain,
% 1.98/1.58 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1106, 995])).
% 1.98/1.58 tff(1108,plain,
% 1.98/1.58 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[899, 1107])).
% 1.98/1.58 tff(1109,plain,
% 1.98/1.58 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[919, 1108])).
% 1.98/1.58 tff(1110,plain,
% 1.98/1.58 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9))),
% 1.98/1.58 inference(symmetry,[status(thm)],[1109])).
% 1.98/1.58 tff(1111,plain,
% 1.98/1.58 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.98/1.58 inference(transitivity,[status(thm)],[1110, 464])).
% 1.98/1.58 tff(1112,plain,
% 1.98/1.58 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1111])).
% 1.98/1.58 tff(1113,plain,
% 1.98/1.58 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 6),
% 1.98/1.58 inference(transitivity,[status(thm)],[1112, 202])).
% 1.98/1.58 tff(1114,plain,
% 1.98/1.58 ((1 = 6) <=> $false),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1115,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 1.98/1.58 tff(1116,plain,
% 1.98/1.58 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9))),
% 1.98/1.58 inference(symmetry,[status(thm)],[1115])).
% 1.98/1.58 tff(1117,plain,
% 1.98/1.58 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.98/1.58 inference(transitivity,[status(thm)],[1116, 464])).
% 1.98/1.58 tff(1118,plain,
% 1.98/1.58 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1117])).
% 1.98/1.58 tff(1119,plain,
% 1.98/1.58 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 6),
% 1.98/1.58 inference(transitivity,[status(thm)],[1118, 202])).
% 1.98/1.58 tff(1120,plain,
% 1.98/1.58 (1 = 6),
% 1.98/1.58 inference(transitivity,[status(thm)],[80, 78, 1119])).
% 1.98/1.58 tff(1121,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1120, 1114])).
% 1.98/1.58 tff(1122,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1123,plain,
% 1.98/1.58 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1122, 1109])).
% 1.98/1.58 tff(1124,plain,
% 1.98/1.58 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[130, 1123])).
% 1.98/1.58 tff(1125,plain,
% 1.98/1.58 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[132, 1124])).
% 1.98/1.58 tff(1126,plain,
% 1.98/1.58 ((5 = 6) <=> $false),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1127,plain,
% 1.98/1.58 (get(int, int, t2tb1(A9!18), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.58 inference(transitivity,[status(thm)],[984, 1067])).
% 1.98/1.58 tff(1128,plain,
% 1.98/1.58 (tb2t(get(int, int, t2tb1(A9!18), t2tb(8))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1127])).
% 1.98/1.58 tff(1129,plain,
% 1.98/1.58 (5 = 6),
% 1.98/1.58 inference(transitivity,[status(thm)],[987, 1128, 1119])).
% 1.98/1.58 tff(1130,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1129, 1126])).
% 1.98/1.58 tff(1131,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1132,plain,
% 1.98/1.58 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1131, 1109])).
% 1.98/1.58 tff(1133,plain,
% 1.98/1.58 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1063, 1132])).
% 1.98/1.58 tff(1134,plain,
% 1.98/1.58 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[960, 1133])).
% 1.98/1.58 tff(1135,plain,
% 1.98/1.58 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 1)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.58 tff(1136,plain,
% 1.98/1.58 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1135, 1134, 895, 1125, 946, 995, 836])).
% 1.98/1.58 tff(1137,plain,
% 1.98/1.58 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[169, 1136])).
% 1.98/1.58 tff(1138,plain,
% 1.98/1.58 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[167, 1137])).
% 1.98/1.58 tff(1139,plain,
% 1.98/1.58 (get(int, int, t2tb1(A9!18), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.58 inference(transitivity,[status(thm)],[138, 1138])).
% 1.98/1.58 tff(1140,plain,
% 1.98/1.58 (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1139])).
% 1.98/1.58 tff(1141,plain,
% 1.98/1.58 (0 = 6),
% 1.98/1.58 inference(transitivity,[status(thm)],[142, 1140, 1113])).
% 1.98/1.58 tff(1142,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1141, 994])).
% 1.98/1.58 tff(1143,plain,(~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1144,plain,
% 1.98/1.58 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), 0)),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.58 tff(1145,plain,
% 1.98/1.58 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1144, 1143])).
% 1.98/1.58 tff(1146,plain,
% 1.98/1.58 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1145, 993])).
% 1.98/1.58 tff(1147,plain,
% 1.98/1.58 ((6 = 4) <=> $false),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1148,plain,
% 1.98/1.58 (t2tb(5) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(8))))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[987])).
% 1.98/1.58 tff(1149,plain,
% 1.98/1.58 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))) = t2tb(5)),
% 1.98/1.58 inference(symmetry,[status(thm)],[1148])).
% 1.98/1.58 tff(1150,plain,
% 1.98/1.58 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))) = get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.98/1.58 inference(quant_inst,[status(thm)],[])).
% 1.98/1.58 tff(1151,plain,
% 1.98/1.58 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1150, 194])).
% 1.98/1.58 tff(1152,plain,
% 1.98/1.58 (get(int, int, t2tb1(A9!18), t2tb(8)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(8))))),
% 1.98/1.58 inference(symmetry,[status(thm)],[1151])).
% 1.98/1.58 tff(1153,plain,
% 1.98/1.58 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(5)),
% 1.98/1.58 inference(transitivity,[status(thm)],[1068, 1066, 1152, 1149])).
% 1.98/1.58 tff(1154,plain,
% 1.98/1.58 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[199, 1153])).
% 1.98/1.58 tff(1155,plain,
% 1.98/1.58 ((7 = 5) <=> $false),
% 1.98/1.58 inference(rewrite,[status(thm)],[])).
% 1.98/1.58 tff(1156,plain,
% 1.98/1.58 (7 = 5),
% 1.98/1.58 inference(transitivity,[status(thm)],[233, 232, 1071])).
% 1.98/1.58 tff(1157,plain,
% 1.98/1.58 ($false),
% 1.98/1.58 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 1.98/1.58 tff(1158,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.58 tff(1159,plain,
% 1.98/1.58 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1158, 1067])).
% 1.98/1.58 tff(1160,plain,
% 1.98/1.58 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[254, 111, 95])).
% 1.98/1.58 tff(1161,plain,
% 1.98/1.58 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1160, 1159])).
% 1.98/1.58 tff(1162,plain,
% 1.98/1.58 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[256, 1161])).
% 1.98/1.58 tff(1163,plain,
% 1.98/1.58 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.98/1.58 inference(monotonicity,[status(thm)],[1154])).
% 1.98/1.58 tff(1164,plain,
% 1.98/1.58 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4),
% 1.98/1.58 inference(transitivity,[status(thm)],[1163, 174])).
% 1.98/1.58 tff(1165,plain,
% 1.98/1.58 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 4)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.58 tff(1166,plain,
% 1.98/1.58 ($lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1165, 1164])).
% 1.98/1.58 tff(1167,plain,
% 1.98/1.58 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 4)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5))),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.58 tff(1168,plain,
% 1.98/1.58 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1167, 1166])).
% 1.98/1.58 tff(1169,plain,
% 1.98/1.58 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.98/1.58 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.58 tff(1170,plain,
% 1.98/1.58 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 1.98/1.58 inference(unit_resolution,[status(thm)],[1169, 1168])).
% 1.98/1.59 tff(1171,plain,
% 1.98/1.59 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[279, 1170])).
% 1.98/1.59 tff(1172,plain,
% 1.98/1.59 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[303, 111, 95, 1171])).
% 1.98/1.59 tff(1173,plain,
% 1.98/1.59 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[305, 1172])).
% 1.98/1.59 tff(1174,plain,
% 1.98/1.59 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8))),
% 1.98/1.59 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.59 tff(1175,plain,
% 1.98/1.59 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1174, 1168])).
% 1.98/1.59 tff(1176,plain,
% 1.98/1.59 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[311, 1175])).
% 1.98/1.59 tff(1177,plain,
% 1.98/1.59 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[325, 1176])).
% 1.98/1.59 tff(1178,plain,
% 1.98/1.59 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[343, 111, 95, 1177])).
% 1.98/1.59 tff(1179,plain,
% 1.98/1.59 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[345, 1178])).
% 1.98/1.59 tff(1180,plain,
% 1.98/1.59 ((3 = 5) <=> $false),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1181,plain,
% 1.98/1.59 (3 = 5),
% 1.98/1.59 inference(transitivity,[status(thm)],[352, 351, 1071])).
% 1.98/1.59 tff(1182,plain,
% 1.98/1.59 ($false),
% 1.98/1.59 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 1.98/1.59 tff(1183,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.59 tff(1184,plain,
% 1.98/1.59 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1183, 1067])).
% 1.98/1.59 tff(1185,plain,
% 1.98/1.59 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[374, 1184])).
% 1.98/1.59 tff(1186,plain,
% 1.98/1.59 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[376, 1185])).
% 1.98/1.59 tff(1187,plain,
% 1.98/1.59 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[378, 1186, 1179, 1173, 1162, 347])).
% 1.98/1.59 tff(1188,plain,
% 1.98/1.59 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[380, 1187])).
% 1.98/1.59 tff(1189,plain,
% 1.98/1.59 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[410, 1188])).
% 1.98/1.59 tff(1190,plain,
% 1.98/1.59 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[426, 1189])).
% 1.98/1.59 tff(1191,plain,
% 1.98/1.59 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[453, 1190])).
% 1.98/1.59 tff(1192,plain,
% 1.98/1.59 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(symmetry,[status(thm)],[1191])).
% 1.98/1.59 tff(1193,plain,
% 1.98/1.59 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(5))),
% 1.98/1.59 inference(transitivity,[status(thm)],[1192, 227, 1154])).
% 1.98/1.59 tff(1194,plain,
% 1.98/1.59 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(5)))),
% 1.98/1.59 inference(monotonicity,[status(thm)],[1193])).
% 1.98/1.59 tff(1195,plain,
% 1.98/1.59 (6 = 4),
% 1.98/1.59 inference(transitivity,[status(thm)],[203, 1194, 174])).
% 1.98/1.59 tff(1196,plain,
% 1.98/1.59 ($false),
% 1.98/1.59 inference(modus_ponens,[status(thm)],[1195, 1147])).
% 1.98/1.59 tff(1197,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.59 tff(1198,plain,
% 1.98/1.59 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1197, 1146])).
% 1.98/1.59 tff(1199,plain,
% 1.98/1.59 ((6 = 8) <=> $false),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1200,plain,
% 1.98/1.59 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[279, 66])).
% 1.98/1.59 tff(1201,plain,
% 1.98/1.59 ($lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[264, 1200])).
% 1.98/1.59 tff(1202,plain,
% 1.98/1.59 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8))),
% 1.98/1.59 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.59 tff(1203,plain,
% 1.98/1.59 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1202, 1201])).
% 1.98/1.59 tff(1204,plain,
% 1.98/1.59 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[311, 1203])).
% 1.98/1.59 tff(1205,plain,
% 1.98/1.59 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[325, 1204])).
% 1.98/1.59 tff(1206,plain,
% 1.98/1.59 ((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[343, 111, 95])).
% 1.98/1.59 tff(1207,plain,
% 1.98/1.59 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1206, 1205])).
% 1.98/1.59 tff(1208,plain,
% 1.98/1.59 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[345, 1207])).
% 1.98/1.59 tff(1209,plain,
% 1.98/1.59 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1210,plain,
% 1.98/1.59 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1211,plain,
% 1.98/1.59 (($sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1212,plain,
% 1.98/1.59 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1) <=> ($sum($product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2)), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)) = 1)),
% 1.98/1.59 inference(monotonicity,[status(thm)],[287])).
% 1.98/1.59 tff(1213,plain,
% 1.98/1.59 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)),
% 1.98/1.59 inference(transitivity,[status(thm)],[1212, 1211])).
% 1.98/1.59 tff(1214,plain,
% 1.98/1.59 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1215,plain,
% 1.98/1.59 (($greatereq($sum(0, $product(-1, 3)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))),
% 1.98/1.59 inference(monotonicity,[status(thm)],[297, 1214, 1213])).
% 1.98/1.59 tff(1216,plain,
% 1.98/1.59 (($greatereq($sum(0, $product(-1, 3)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))),
% 1.98/1.59 inference(transitivity,[status(thm)],[1215, 1210])).
% 1.98/1.59 tff(1217,plain,
% 1.98/1.59 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)))),
% 1.98/1.59 inference(monotonicity,[status(thm)],[1216])).
% 1.98/1.59 tff(1218,plain,
% 1.98/1.59 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1))),
% 1.98/1.59 inference(transitivity,[status(thm)],[1217, 1209])).
% 1.98/1.59 tff(1219,plain,
% 1.98/1.59 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 3)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 3))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 3)))) = 1))),
% 1.98/1.59 inference(quant_inst,[status(thm)],[])).
% 1.98/1.59 tff(1220,plain,
% 1.98/1.59 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)),
% 1.98/1.59 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 1.98/1.59 tff(1221,plain,
% 1.98/1.59 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1220, 855, 66])).
% 1.98/1.59 tff(1222,plain,
% 1.98/1.59 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = -1)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), -1)),
% 1.98/1.59 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.59 tff(1223,plain,
% 1.98/1.59 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), -1)),
% 1.98/1.59 inference(unit_resolution,[status(thm)],[1222, 1221])).
% 1.98/1.59 tff(1224,plain,
% 1.98/1.59 ((6 = 5) <=> $false),
% 1.98/1.59 inference(rewrite,[status(thm)],[])).
% 1.98/1.59 tff(1225,assumption,(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5), introduced(assumption)).
% 1.98/1.59 tff(1226,plain,
% 1.98/1.59 (t2tb(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = t2tb(5)),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1225])).
% 1.98/1.60 tff(1227,plain,
% 1.98/1.60 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.60 inference(quant_inst,[status(thm)],[])).
% 1.98/1.60 tff(1228,plain,
% 1.98/1.60 (t2tb(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1227, 194])).
% 1.98/1.60 tff(1229,plain,
% 1.98/1.60 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = t2tb(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))),
% 1.98/1.60 inference(symmetry,[status(thm)],[1228])).
% 1.98/1.60 tff(1230,assumption,(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))), introduced(assumption)).
% 1.98/1.60 tff(1231,plain,
% 1.98/1.60 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(symmetry,[status(thm)],[1230])).
% 1.98/1.60 tff(1232,plain,
% 1.98/1.60 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(8))),
% 1.98/1.60 inference(transitivity,[status(thm)],[1231, 227, 1229, 1226, 1148, 1151])).
% 1.98/1.60 tff(1233,plain,
% 1.98/1.60 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(8)))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1232])).
% 1.98/1.60 tff(1234,plain,
% 1.98/1.60 (6 = 5),
% 1.98/1.60 inference(transitivity,[status(thm)],[203, 1233, 266])).
% 1.98/1.60 tff(1235,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1234, 1224])).
% 1.98/1.60 tff(1236,plain,((~(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9)))) | (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1237,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1236, 1200])).
% 1.98/1.60 tff(1238,plain,
% 1.98/1.60 (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[453, 1237])).
% 1.98/1.60 tff(1239,plain,
% 1.98/1.60 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[426, 1238])).
% 1.98/1.60 tff(1240,plain,
% 1.98/1.60 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[410, 1239])).
% 1.98/1.60 tff(1241,plain,
% 1.98/1.60 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[380, 1240])).
% 1.98/1.60 tff(1242,plain,
% 1.98/1.60 ((3 = 8) <=> $false),
% 1.98/1.60 inference(rewrite,[status(thm)],[])).
% 1.98/1.60 tff(1243,plain,
% 1.98/1.60 (3 = 8),
% 1.98/1.60 inference(transitivity,[status(thm)],[352, 351, 74])).
% 1.98/1.60 tff(1244,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 1.98/1.60 tff(1245,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1246,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1245, 66])).
% 1.98/1.60 tff(1247,plain,
% 1.98/1.60 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[374, 1246])).
% 1.98/1.60 tff(1248,plain,
% 1.98/1.60 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[376, 1247])).
% 1.98/1.60 tff(1249,plain,
% 1.98/1.60 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.60 tff(1250,plain,
% 1.98/1.60 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1249, 1248, 1241])).
% 1.98/1.60 tff(1251,plain,
% 1.98/1.60 ((0 = 7) <=> $false),
% 1.98/1.60 inference(rewrite,[status(thm)],[])).
% 1.98/1.60 tff(1252,plain,
% 1.98/1.60 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.98/1.60 inference(symmetry,[status(thm)],[230])).
% 1.98/1.60 tff(1253,plain,
% 1.98/1.60 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4))),
% 1.98/1.60 inference(symmetry,[status(thm)],[229])).
% 1.98/1.60 tff(1254,plain,
% 1.98/1.60 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.98/1.60 inference(transitivity,[status(thm)],[1253, 1252])).
% 1.98/1.60 tff(1255,plain,
% 1.98/1.60 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1254])).
% 1.98/1.60 tff(1256,plain,
% 1.98/1.60 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 7),
% 1.98/1.60 inference(transitivity,[status(thm)],[1255, 185])).
% 1.98/1.60 tff(1257,plain,
% 1.98/1.60 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 1.98/1.60 inference(transitivity,[status(thm)],[463, 1115])).
% 1.98/1.60 tff(1258,plain,
% 1.98/1.60 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1257])).
% 1.98/1.60 tff(1259,plain,
% 1.98/1.60 (6 = 7),
% 1.98/1.60 inference(transitivity,[status(thm)],[203, 1258, 1256])).
% 1.98/1.60 tff(1260,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1259, 184])).
% 1.98/1.60 tff(1261,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1262,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1261, 229])).
% 1.98/1.60 tff(1263,plain,
% 1.98/1.60 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[919, 1262])).
% 1.98/1.60 tff(1264,plain,
% 1.98/1.60 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[899, 1263])).
% 1.98/1.60 tff(1265,plain,
% 1.98/1.60 (t2tb(7) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(4))))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[233])).
% 1.98/1.60 tff(1266,plain,
% 1.98/1.60 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))) = t2tb(7)),
% 1.98/1.60 inference(symmetry,[status(thm)],[1265])).
% 1.98/1.60 tff(1267,plain,
% 1.98/1.60 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))) = get(int, int, t2tb1(A9!18), t2tb(4)))),
% 1.98/1.60 inference(quant_inst,[status(thm)],[])).
% 1.98/1.60 tff(1268,plain,
% 1.98/1.60 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(4)))) = get(int, int, t2tb1(A9!18), t2tb(4))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1267, 194])).
% 1.98/1.60 tff(1269,plain,
% 1.98/1.60 (get(int, int, t2tb1(A9!18), t2tb(4)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(4))))),
% 1.98/1.60 inference(symmetry,[status(thm)],[1268])).
% 1.98/1.60 tff(1270,plain,
% 1.98/1.60 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(7)),
% 1.98/1.60 inference(transitivity,[status(thm)],[1253, 1252, 1269, 1266])).
% 1.98/1.60 tff(1271,plain,
% 1.98/1.60 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[199, 1270])).
% 1.98/1.60 tff(1272,plain,
% 1.98/1.60 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1271])).
% 1.98/1.60 tff(1273,plain,
% 1.98/1.60 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1),
% 1.98/1.60 inference(transitivity,[status(thm)],[1272, 79])).
% 1.98/1.60 tff(1274,plain,
% 1.98/1.60 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 1)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.60 tff(1275,plain,
% 1.98/1.60 ($lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1274, 1273])).
% 1.98/1.60 tff(1276,plain,
% 1.98/1.60 ((~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)) | (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3))),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.60 tff(1277,plain,
% 1.98/1.60 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1276, 1275])).
% 1.98/1.60 tff(1278,assumption,(~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)), introduced(assumption)).
% 1.98/1.60 tff(1279,plain,
% 1.98/1.60 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.60 tff(1280,plain,
% 1.98/1.60 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1279, 1278])).
% 1.98/1.60 tff(1281,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1169, 1225, 1280])).
% 1.98/1.60 tff(1282,plain,((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1283,plain,
% 1.98/1.60 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1282, 1277])).
% 1.98/1.60 tff(1284,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[279, 1283])).
% 1.98/1.60 tff(1285,plain,
% 1.98/1.60 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[303, 111, 95, 1284])).
% 1.98/1.60 tff(1286,plain,
% 1.98/1.60 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[305, 1285])).
% 1.98/1.60 tff(1287,plain,
% 1.98/1.60 ((3 = 7) <=> $false),
% 1.98/1.60 inference(rewrite,[status(thm)],[])).
% 1.98/1.60 tff(1288,plain,
% 1.98/1.60 (3 = 7),
% 1.98/1.60 inference(transitivity,[status(thm)],[352, 351, 1256])).
% 1.98/1.60 tff(1289,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 1.98/1.60 tff(1290,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1291,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1290, 229])).
% 1.98/1.60 tff(1292,plain,
% 1.98/1.60 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[374, 1291])).
% 1.98/1.60 tff(1293,plain,
% 1.98/1.60 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[376, 1292])).
% 1.98/1.60 tff(1294,plain,
% 1.98/1.60 ((~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.60 tff(1295,plain,
% 1.98/1.60 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1294, 1278])).
% 1.98/1.60 tff(1296,assumption,(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8), introduced(assumption)).
% 1.98/1.60 tff(1297,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[311, 1296, 1295])).
% 1.98/1.60 tff(1298,plain,((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)) | $greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1299,plain,
% 1.98/1.60 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1298, 1277])).
% 1.98/1.60 tff(1300,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[325, 1299])).
% 1.98/1.60 tff(1301,plain,
% 1.98/1.60 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1206, 1300])).
% 1.98/1.60 tff(1302,plain,
% 1.98/1.60 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[345, 1301])).
% 1.98/1.60 tff(1303,plain,
% 1.98/1.60 ((6 = 1) <=> $false),
% 1.98/1.60 inference(rewrite,[status(thm)],[])).
% 1.98/1.60 tff(1304,plain,
% 1.98/1.60 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 1.98/1.60 inference(transitivity,[status(thm)],[1231, 227, 1271])).
% 1.98/1.60 tff(1305,plain,
% 1.98/1.60 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))),
% 1.98/1.60 inference(monotonicity,[status(thm)],[1304])).
% 1.98/1.60 tff(1306,plain,
% 1.98/1.60 (6 = 1),
% 1.98/1.60 inference(transitivity,[status(thm)],[203, 1305, 79])).
% 1.98/1.60 tff(1307,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1306, 1303])).
% 1.98/1.60 tff(1308,plain,((~(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9)))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1309,plain,
% 1.98/1.60 (~(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9)))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1308, 229])).
% 1.98/1.60 tff(1310,plain,
% 1.98/1.60 (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[453, 1309])).
% 1.98/1.60 tff(1311,plain,
% 1.98/1.60 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[426, 1310])).
% 1.98/1.60 tff(1312,plain,
% 1.98/1.60 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[410, 1311])).
% 1.98/1.60 tff(1313,plain,
% 1.98/1.60 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[380, 1312])).
% 1.98/1.60 tff(1314,assumption,($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)), introduced(assumption)).
% 1.98/1.60 tff(1315,assumption,(~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)), introduced(assumption)).
% 1.98/1.60 tff(1316,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)), introduced(assumption)).
% 1.98/1.60 tff(1317,assumption,($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)), introduced(assumption)).
% 1.98/1.60 tff(1318,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)), introduced(assumption)).
% 1.98/1.60 tff(1319,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(theory_lemma,[status(thm)],[1318, 1317, 1316, 1315, 1314])).
% 1.98/1.60 tff(1320,plain,((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.60 tff(1321,plain,
% 1.98/1.60 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)),
% 1.98/1.60 inference(unit_resolution,[status(thm)],[1320, 1313, 1302, 1293, 1286])).
% 1.98/1.60 tff(1322,plain,
% 1.98/1.60 ((1 = 7) <=> $false),
% 1.98/1.60 inference(rewrite,[status(thm)],[])).
% 1.98/1.60 tff(1323,plain,
% 1.98/1.60 (1 = 7),
% 1.98/1.60 inference(transitivity,[status(thm)],[80, 78, 1256])).
% 1.98/1.60 tff(1324,plain,
% 1.98/1.60 ($false),
% 1.98/1.60 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 1.98/1.61 tff(1325,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 1.98/1.61 tff(1326,plain,
% 1.98/1.61 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1325, 229])).
% 1.98/1.61 tff(1327,plain,
% 1.98/1.61 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[130, 1326])).
% 1.98/1.61 tff(1328,plain,
% 1.98/1.61 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[132, 1327])).
% 1.98/1.61 tff(1329,plain,
% 1.98/1.61 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[134, 1328])).
% 1.98/1.61 tff(1330,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)), introduced(assumption)).
% 1.98/1.61 tff(1331,plain,
% 1.98/1.61 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)),
% 1.98/1.61 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.61 tff(1332,plain,
% 1.98/1.61 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1331, 1330])).
% 1.98/1.61 tff(1333,plain,
% 1.98/1.61 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))),
% 1.98/1.61 inference(rewrite,[status(thm)],[])).
% 1.98/1.61 tff(1334,plain,
% 1.98/1.61 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))),
% 1.98/1.61 inference(rewrite,[status(thm)],[])).
% 1.98/1.61 tff(1335,plain,
% 1.98/1.61 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)),
% 1.98/1.61 inference(rewrite,[status(thm)],[])).
% 1.98/1.61 tff(1336,plain,
% 1.98/1.61 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 1.98/1.61 inference(rewrite,[status(thm)],[])).
% 1.98/1.61 tff(1337,plain,
% 1.98/1.61 (($greatereq($sum(0, $product(-1, 5)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))),
% 1.98/1.61 inference(monotonicity,[status(thm)],[248, 1336, 1335])).
% 1.98/1.61 tff(1338,plain,
% 1.98/1.61 (($greatereq($sum(0, $product(-1, 5)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))),
% 1.98/1.61 inference(transitivity,[status(thm)],[1337, 1334])).
% 1.98/1.61 tff(1339,plain,
% 1.98/1.61 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)))),
% 1.98/1.61 inference(monotonicity,[status(thm)],[1338])).
% 1.98/1.61 tff(1340,plain,
% 1.98/1.61 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1))),
% 1.98/1.61 inference(transitivity,[status(thm)],[1339, 1333])).
% 1.98/1.61 tff(1341,plain,
% 1.98/1.61 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 5)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 5))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 5)))) = 1))),
% 1.98/1.61 inference(quant_inst,[status(thm)],[])).
% 1.98/1.61 tff(1342,plain,
% 1.98/1.61 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)),
% 1.98/1.61 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 1.98/1.61 tff(1343,plain,
% 1.98/1.61 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 1)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1342, 855])).
% 1.98/1.61 tff(1344,plain,
% 1.98/1.61 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1343, 1332])).
% 1.98/1.61 tff(1345,plain,
% 1.98/1.61 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)),
% 1.98/1.61 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.61 tff(1346,plain,
% 1.98/1.61 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1345, 1330])).
% 1.98/1.61 tff(1347,plain,
% 1.98/1.61 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0)),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[256, 1346])).
% 1.98/1.61 tff(1348,plain,
% 1.98/1.61 ($false),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1160, 1347, 1344])).
% 1.98/1.61 tff(1349,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)), inference(lemma,lemma(discharge,[]))).
% 1.98/1.61 tff(1350,plain,
% 1.98/1.61 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 1.98/1.61 inference(theory_lemma,[status(thm)],[])).
% 1.98/1.61 tff(1351,plain,
% 1.98/1.61 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.61 inference(unit_resolution,[status(thm)],[1350, 895, 836])).
% 1.98/1.61 tff(1352,plain,
% 1.98/1.61 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 1.98/1.62 inference(unit_resolution,[status(thm)],[1351, 1349])).
% 1.98/1.62 tff(1353,plain,
% 1.98/1.62 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 1.98/1.62 inference(unit_resolution,[status(thm)],[1352, 1329, 466, 948, 1321, 1264])).
% 1.98/1.62 tff(1354,plain,
% 1.98/1.62 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[171, 1353])).
% 2.06/1.62 tff(1355,plain,
% 2.06/1.62 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[169, 1354])).
% 2.06/1.62 tff(1356,plain,
% 2.06/1.62 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[167, 1355])).
% 2.06/1.62 tff(1357,plain,
% 2.06/1.62 (get(int, int, t2tb1(A9!18), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.62 inference(transitivity,[status(thm)],[138, 1356])).
% 2.06/1.62 tff(1358,plain,
% 2.06/1.62 (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(monotonicity,[status(thm)],[1357])).
% 2.06/1.62 tff(1359,plain,
% 2.06/1.62 (0 = 7),
% 2.06/1.62 inference(transitivity,[status(thm)],[142, 1358, 1256])).
% 2.06/1.62 tff(1360,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(modus_ponens,[status(thm)],[1359, 1251])).
% 2.06/1.62 tff(1361,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1362,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1361, 466, 948])).
% 2.06/1.62 tff(1363,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1160, 1362])).
% 2.06/1.62 tff(1364,plain,
% 2.06/1.62 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[256, 1363])).
% 2.06/1.62 tff(1365,plain,
% 2.06/1.62 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), -1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 2.06/1.62 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.62 tff(1366,plain,
% 2.06/1.62 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), -1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1365, 895, 836])).
% 2.06/1.62 tff(1367,plain,
% 2.06/1.62 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1366, 172, 466, 948, 1364, 1250, 135, 1223, 1208])).
% 2.06/1.62 tff(1368,plain,
% 2.06/1.62 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[899, 1367])).
% 2.06/1.62 tff(1369,plain,
% 2.06/1.62 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[919, 1368])).
% 2.06/1.62 tff(1370,plain,
% 2.06/1.62 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.62 inference(transitivity,[status(thm)],[463, 1369])).
% 2.06/1.62 tff(1371,plain,
% 2.06/1.62 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(monotonicity,[status(thm)],[1370])).
% 2.06/1.62 tff(1372,plain,
% 2.06/1.62 (6 = 8),
% 2.06/1.62 inference(transitivity,[status(thm)],[203, 1371, 74])).
% 2.06/1.62 tff(1373,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(modus_ponens,[status(thm)],[1372, 1199])).
% 2.06/1.62 tff(1374,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1375,plain,
% 2.06/1.62 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1374, 993, 66])).
% 2.06/1.62 tff(1376,plain,
% 2.06/1.62 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[960, 1375])).
% 2.06/1.62 tff(1377,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[982, 1376, 1198])).
% 2.06/1.62 tff(1378,plain,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1379,assumption,(~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)), introduced(assumption)).
% 2.06/1.62 tff(1380,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 2.06/1.62 tff(1381,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[303, 111, 95, 1380, 1379])).
% 2.06/1.62 tff(1382,plain,((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1383,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1382, 1378])).
% 2.06/1.62 tff(1384,plain,
% 2.06/1.62 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[305, 1383])).
% 2.06/1.62 tff(1385,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 2.06/1.62 tff(1386,plain,
% 2.06/1.62 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))) = t2tb(2)),
% 2.06/1.62 inference(symmetry,[status(thm)],[317])).
% 2.06/1.62 tff(1387,plain,
% 2.06/1.62 (get(int, int, t2tb1(A9!18), t2tb(3)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(3))))),
% 2.06/1.62 inference(symmetry,[status(thm)],[315])).
% 2.06/1.62 tff(1388,plain,
% 2.06/1.62 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3))),
% 2.06/1.62 inference(symmetry,[status(thm)],[313])).
% 2.06/1.62 tff(1389,plain,
% 2.06/1.62 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(2)),
% 2.06/1.62 inference(transitivity,[status(thm)],[1388, 61, 1387, 1386])).
% 2.06/1.62 tff(1390,plain,
% 2.06/1.62 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 2.06/1.62 inference(monotonicity,[status(thm)],[199, 1389])).
% 2.06/1.62 tff(1391,plain,
% 2.06/1.62 ((1 = 2) <=> $false),
% 2.06/1.62 inference(rewrite,[status(thm)],[])).
% 2.06/1.62 tff(1392,plain,
% 2.06/1.62 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 2.06/1.62 inference(transitivity,[status(thm)],[1388, 61])).
% 2.06/1.62 tff(1393,plain,
% 2.06/1.62 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))),
% 2.06/1.62 inference(monotonicity,[status(thm)],[1392])).
% 2.06/1.62 tff(1394,plain,
% 2.06/1.62 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 2),
% 2.06/1.62 inference(transitivity,[status(thm)],[1393, 48])).
% 2.06/1.62 tff(1395,plain,
% 2.06/1.62 (1 = 2),
% 2.06/1.62 inference(transitivity,[status(thm)],[80, 78, 1394])).
% 2.06/1.62 tff(1396,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(modus_ponens,[status(thm)],[1395, 1391])).
% 2.06/1.62 tff(1397,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1398,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1397, 313])).
% 2.06/1.62 tff(1399,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[130, 1398])).
% 2.06/1.62 tff(1400,plain,
% 2.06/1.62 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[132, 1399])).
% 2.06/1.62 tff(1401,plain,
% 2.06/1.62 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[134, 1400])).
% 2.06/1.62 tff(1402,plain,
% 2.06/1.62 ((0 = 2) <=> $false),
% 2.06/1.62 inference(rewrite,[status(thm)],[])).
% 2.06/1.62 tff(1403,plain,
% 2.06/1.62 (0 = 2),
% 2.06/1.62 inference(transitivity,[status(thm)],[142, 140, 1394])).
% 2.06/1.62 tff(1404,plain,
% 2.06/1.62 ($false),
% 2.06/1.62 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 2.06/1.62 tff(1405,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.62 tff(1406,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1405, 313])).
% 2.06/1.62 tff(1407,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[167, 1406])).
% 2.06/1.62 tff(1408,plain,
% 2.06/1.62 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[169, 1407])).
% 2.06/1.62 tff(1409,plain,
% 2.06/1.62 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[171, 1408])).
% 2.06/1.62 tff(1410,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[990, 1409, 1401])).
% 2.06/1.62 tff(1411,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[889, 1410])).
% 2.06/1.62 tff(1412,plain,
% 2.06/1.62 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[877, 1411])).
% 2.06/1.62 tff(1413,plain,
% 2.06/1.62 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1145, 1412])).
% 2.06/1.62 tff(1414,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1197, 1413])).
% 2.06/1.62 tff(1415,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[982, 1414])).
% 2.06/1.62 tff(1416,plain,
% 2.06/1.62 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[960, 1415])).
% 2.06/1.62 tff(1417,plain,
% 2.06/1.62 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.62 inference(unit_resolution,[status(thm)],[1361, 1416, 1412])).
% 2.06/1.62 tff(1418,plain,
% 2.06/1.62 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.63 inference(unit_resolution,[status(thm)],[254, 111, 95, 1417])).
% 2.06/1.63 tff(1419,plain,
% 2.06/1.63 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.63 inference(unit_resolution,[status(thm)],[256, 1418])).
% 2.06/1.63 tff(1420,plain,
% 2.06/1.63 ((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.63 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.63 tff(1421,plain,
% 2.06/1.63 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)),
% 2.06/1.63 inference(unit_resolution,[status(thm)],[1420, 1419, 1413])).
% 2.06/1.63 tff(1422,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 2.06/1.63 tff(1423,plain,
% 2.06/1.63 (((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.63 inference(tautology,[status(thm)],[])).
% 2.06/1.63 tff(1424,plain,
% 2.06/1.63 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))),
% 2.06/1.63 inference(unit_resolution,[status(thm)],[1423, 1422])).
% 2.06/1.63 tff(1425,assumption,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))), introduced(assumption)).
% 2.06/1.63 tff(1426,plain,
% 2.06/1.63 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : refl(((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))))),
% 2.06/1.63 inference(bind,[status(th)],[])).
% 2.06/1.63 tff(1427,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))),
% 2.06/1.63 inference(quant_intro,[status(thm)],[1426])).
% 2.06/1.63 tff(1428,plain,
% 2.06/1.63 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite(($lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) & (get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)) <=> (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))), (((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ($lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) & (get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))))), rewrite(((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))), (((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ($lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) & (get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))))),
% 2.06/1.63 inference(bind,[status(th)],[])).
% 2.06/1.63 tff(1429,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ($lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) & (get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))),
% 2.06/1.63 inference(quant_intro,[status(thm)],[1428])).
% 2.06/1.63 tff(1430,plain,
% 2.06/1.63 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : rewrite(((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)) & (get(A, int, M, t2tb(I)) = V))))),
% 2.06/1.63 inference(bind,[status(th)],[])).
% 2.06/1.63 tff(1431,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(quant_intro,[status(thm)],[1430])).
% 2.06/1.63 tff(1432,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(rewrite,[status(thm)],[])).
% 2.06/1.63 tff(1433,plain,
% 2.06/1.63 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(trans(monotonicity(rewrite($less(0, occ1(A, V, M, L, U)) <=> (~$lesseq(occ1(A, V, M, L, U), 0))), quant_intro(proof_bind(^[I: $int] : trans(monotonicity(rewrite(($lesseq(L, I) & $less(I, U)) <=> ($lesseq(L, I) & (~$lesseq(U, I)))), ((($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)) <=> (($lesseq(L, I) & (~$lesseq(U, I))) & (get(A, int, M, t2tb(I)) = V)))), rewrite((($lesseq(L, I) & (~$lesseq(U, I))) & (get(A, int, M, t2tb(I)) = V)) <=> ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))), ((($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)) <=> ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))))), (?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)) <=> ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))), (($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V))) <=> ((~$lesseq(occ1(A, V, M, L, U), 0)) => ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))))), rewrite(((~$lesseq(occ1(A, V, M, L, U), 0)) => ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))) <=> ($lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))), (($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V))) <=> ($lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V))))), ((sort1(A, V) => ($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)))) <=> (sort1(A, V) => ($lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))))), rewrite((sort1(A, V) => ($lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))), ((sort1(A, V) => ($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)))) <=> ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))))),
% 2.06/1.63 inference(bind,[status(th)],[])).
% 2.06/1.63 tff(1434,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => ($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V)))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(quant_intro,[status(thm)],[1433])).
% 2.06/1.63 tff(1435,axiom,(![A: ty, V: uni, M: uni, L: $int, U: $int] : (sort1(A, V) => ($less(0, occ1(A, V, M, L, U)) => ?[I: $int] : (($lesseq(L, I) & $less(I, U)) & (get(A, int, M, t2tb(I)) = V))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ_exists')).
% 2.06/1.63 tff(1436,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 2.06/1.63 tff(1437,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq(L, I) & (~$lesseq(U, I)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1436, 1432])).
% 2.06/1.63 tff(1438,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ?[I: $int] : ($lesseq($sum(L, $product(-1, I)), 0) & (~$lesseq($sum(U, $product(-1, I)), 0)) & (get(A, int, M, t2tb(I)) = V)))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1437, 1431])).
% 2.06/1.63 tff(1439,plain,(
% 2.06/1.63 ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | ($lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) & (~$lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) & (get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))),
% 2.06/1.63 inference(skolemize,[status(sab)],[1438])).
% 2.06/1.63 tff(1440,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1439, 1429])).
% 2.06/1.63 tff(1441,plain,
% 2.06/1.63 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1440, 1427])).
% 2.06/1.63 tff(1442,plain,
% 2.06/1.63 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 2.06/1.63 inference(rewrite,[status(thm)],[])).
% 2.06/1.63 tff(1443,plain,
% 2.06/1.63 (((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 2.06/1.63 inference(rewrite,[status(thm)],[])).
% 2.06/1.63 tff(1444,plain,
% 2.06/1.63 ((~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))) <=> (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))),
% 2.06/1.63 inference(rewrite,[status(thm)],[])).
% 2.06/1.63 tff(1445,plain,
% 2.06/1.63 (((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 2.06/1.63 inference(monotonicity,[status(thm)],[1444])).
% 2.06/1.63 tff(1446,plain,
% 2.06/1.63 (((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))))) <=> ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 2.06/1.63 inference(transitivity,[status(thm)],[1445, 1443])).
% 2.06/1.63 tff(1447,plain,
% 2.06/1.63 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))))),
% 2.06/1.63 inference(monotonicity,[status(thm)],[1446])).
% 2.06/1.63 tff(1448,plain,
% 2.06/1.63 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))))),
% 2.06/1.63 inference(transitivity,[status(thm)],[1447, 1442])).
% 2.06/1.63 tff(1449,plain,
% 2.06/1.63 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | ((~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~($lesseq($sum(4, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0) | (~$lesseq($sum(0, $product(-1, tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), 0)) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))))))),
% 2.06/1.63 inference(quant_inst,[status(thm)],[])).
% 2.06/1.63 tff(1450,plain,
% 2.06/1.63 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~sort1(A, V)) | $lesseq(occ1(A, V, M, L, U), 0) | (~($lesseq($sum(U, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0) | (~$lesseq($sum(L, $product(-1, tptp_fun_I_6(U, L, M, V, A))), 0)) | (~(get(A, int, M, t2tb(tptp_fun_I_6(U, L, M, V, A))) = V)))))) | (~sort1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))))),
% 2.06/1.63 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 2.06/1.63 tff(1451,plain,
% 2.06/1.63 ($false),
% 2.06/1.63 inference(unit_resolution,[status(thm)],[1450, 1441, 95, 1315, 1425])).
% 2.06/1.63 tff(1452,plain,((~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 4) | (~$greatereq(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0)), inference(lemma,lemma(discharge,[]))).
% 2.06/1.64 tff(1453,plain,
% 2.06/1.64 ($false),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1452, 1424, 1315])).
% 2.06/1.64 tff(1454,plain,($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.64 tff(1455,plain,
% 2.06/1.64 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1454, 1421])).
% 2.06/1.64 tff(1456,assumption,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), introduced(assumption)).
% 2.06/1.64 tff(1457,plain,
% 2.06/1.64 (occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)),
% 2.06/1.64 inference(monotonicity,[status(thm)],[1456])).
% 2.06/1.64 tff(1458,plain,
% 2.06/1.64 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)),
% 2.06/1.64 inference(symmetry,[status(thm)],[1457])).
% 2.06/1.64 tff(1459,assumption,(~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), introduced(assumption)).
% 2.06/1.64 tff(1460,plain,
% 2.06/1.64 ($false),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1459, 1458])).
% 2.06/1.64 tff(1461,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.64 tff(1462,plain,
% 2.06/1.64 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1461, 1455])).
% 2.06/1.64 tff(1463,plain,
% 2.06/1.64 ((~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.64 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.64 tff(1464,plain,
% 2.06/1.64 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1463, 1462])).
% 2.06/1.64 tff(1465,plain,
% 2.06/1.64 ((~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3) = occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.64 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.64 tff(1466,plain,
% 2.06/1.64 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1465, 1462])).
% 2.06/1.64 tff(1467,plain,
% 2.06/1.64 ((6 = 2) <=> $false),
% 2.06/1.64 inference(rewrite,[status(thm)],[])).
% 2.06/1.64 tff(1468,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)), introduced(assumption)).
% 2.06/1.64 tff(1469,plain,
% 2.06/1.64 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1374, 466, 948])).
% 2.06/1.64 tff(1470,plain,
% 2.06/1.64 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1382, 1469])).
% 2.06/1.64 tff(1471,plain,
% 2.06/1.64 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[305, 1470])).
% 2.06/1.64 tff(1472,assumption,($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)), introduced(assumption)).
% 2.06/1.64 tff(1473,plain,
% 2.06/1.64 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[373, 111, 95, 1385])).
% 2.06/1.64 tff(1474,plain,
% 2.06/1.64 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[376, 1473])).
% 2.06/1.64 tff(1475,plain,
% 2.06/1.64 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1249, 1474, 1314])).
% 2.06/1.64 tff(1476,plain,
% 2.06/1.64 ($lesseq(occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), 0) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0))),
% 2.06/1.64 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.64 tff(1477,plain,
% 2.06/1.64 ($lesseq(occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), 0)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1476, 1475, 1472, 1471])).
% 2.06/1.64 tff(1478,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 1)), introduced(assumption)).
% 2.06/1.64 tff(1479,plain,
% 2.06/1.64 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 1)),
% 2.06/1.64 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.64 tff(1480,plain,
% 2.06/1.64 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1479, 1478])).
% 2.06/1.64 tff(1481,plain,
% 2.06/1.64 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))),
% 2.06/1.64 inference(rewrite,[status(thm)],[])).
% 2.06/1.64 tff(1482,plain,
% 2.06/1.64 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))),
% 2.06/1.64 inference(rewrite,[status(thm)],[])).
% 2.06/1.64 tff(1483,plain,
% 2.06/1.64 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)),
% 2.06/1.64 inference(rewrite,[status(thm)],[])).
% 2.06/1.64 tff(1484,plain,
% 2.06/1.64 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 2.06/1.64 inference(rewrite,[status(thm)],[])).
% 2.06/1.64 tff(1485,plain,
% 2.06/1.64 (($greatereq($sum(0, $product(-1, 4)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))),
% 2.06/1.64 inference(monotonicity,[status(thm)],[337, 1484, 1483])).
% 2.06/1.64 tff(1486,plain,
% 2.06/1.64 (($greatereq($sum(0, $product(-1, 4)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))),
% 2.06/1.64 inference(transitivity,[status(thm)],[1485, 1482])).
% 2.06/1.64 tff(1487,plain,
% 2.06/1.64 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)))),
% 2.06/1.64 inference(monotonicity,[status(thm)],[1486])).
% 2.06/1.64 tff(1488,plain,
% 2.06/1.64 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1))),
% 2.06/1.64 inference(transitivity,[status(thm)],[1487, 1481])).
% 2.06/1.64 tff(1489,plain,
% 2.06/1.64 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 4)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 4))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 4)))) = 1))),
% 2.06/1.64 inference(quant_inst,[status(thm)],[])).
% 2.06/1.64 tff(1490,plain,
% 2.06/1.64 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)),
% 2.06/1.64 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 2.06/1.64 tff(1491,plain,
% 2.06/1.64 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 1)),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1490, 855])).
% 2.06/1.64 tff(1492,plain,
% 2.06/1.64 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.64 inference(unit_resolution,[status(thm)],[1491, 1480])).
% 2.06/1.65 tff(1493,plain,
% 2.06/1.65 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 1)),
% 2.06/1.65 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.65 tff(1494,plain,
% 2.06/1.65 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1493, 1478])).
% 2.06/1.65 tff(1495,plain,
% 2.06/1.65 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[345, 1494])).
% 2.06/1.65 tff(1496,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1206, 1495, 1492])).
% 2.06/1.65 tff(1497,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 1)), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1498,plain,
% 2.06/1.65 ((~$lesseq(occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10))), 0))),
% 2.06/1.65 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.65 tff(1499,plain,
% 2.06/1.65 ((~$lesseq(occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1498, 895, 1497, 836])).
% 2.06/1.65 tff(1500,plain,
% 2.06/1.65 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1499, 1401, 466, 948, 1364, 1477, 1409, 1468])).
% 2.06/1.65 tff(1501,plain,
% 2.06/1.65 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[899, 1500])).
% 2.06/1.65 tff(1502,plain,
% 2.06/1.65 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[919, 1501])).
% 2.06/1.65 tff(1503,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.65 inference(transitivity,[status(thm)],[463, 1502])).
% 2.06/1.65 tff(1504,plain,
% 2.06/1.65 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[1503])).
% 2.06/1.65 tff(1505,plain,
% 2.06/1.65 (6 = 2),
% 2.06/1.65 inference(transitivity,[status(thm)],[203, 1504, 1394])).
% 2.06/1.65 tff(1506,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(modus_ponens,[status(thm)],[1505, 1467])).
% 2.06/1.65 tff(1507,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3), $product(-1, occ1(int, get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_6(4, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1508,plain,
% 2.06/1.65 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1507, 1466, 313, 1412, 1464, 1416, 1385])).
% 2.06/1.65 tff(1509,plain,
% 2.06/1.65 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[380, 1508])).
% 2.06/1.65 tff(1510,plain,
% 2.06/1.65 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[410, 1509])).
% 2.06/1.65 tff(1511,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[426, 1510])).
% 2.06/1.65 tff(1512,plain,
% 2.06/1.65 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[453, 1511])).
% 2.06/1.65 tff(1513,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(symmetry,[status(thm)],[1512])).
% 2.06/1.65 tff(1514,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(2))),
% 2.06/1.65 inference(transitivity,[status(thm)],[1513, 227, 1390])).
% 2.06/1.65 tff(1515,plain,
% 2.06/1.65 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(2)))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[1514])).
% 2.06/1.65 tff(1516,plain,
% 2.06/1.65 (6 = 8),
% 2.06/1.65 inference(transitivity,[status(thm)],[203, 1515, 68])).
% 2.06/1.65 tff(1517,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(modus_ponens,[status(thm)],[1516, 1199])).
% 2.06/1.65 tff(1518,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1519,plain,
% 2.06/1.65 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1518, 1385])).
% 2.06/1.65 tff(1520,assumption,(~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)), introduced(assumption)).
% 2.06/1.65 tff(1521,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[373, 111, 95, 1385, 1520])).
% 2.06/1.65 tff(1522,plain,(($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1523,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1522, 1385])).
% 2.06/1.65 tff(1524,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[376, 1523])).
% 2.06/1.65 tff(1525,plain,
% 2.06/1.65 ((9 = 6) <=> $false),
% 2.06/1.65 inference(rewrite,[status(thm)],[])).
% 2.06/1.65 tff(1526,assumption,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), introduced(assumption)).
% 2.06/1.65 tff(1527,plain,
% 2.06/1.65 ((6 = 3) <=> $false),
% 2.06/1.65 inference(rewrite,[status(thm)],[])).
% 2.06/1.65 tff(1528,plain,
% 2.06/1.65 (t2tb(1) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(7))))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[80])).
% 2.06/1.65 tff(1529,plain,
% 2.06/1.65 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))) = t2tb(1)),
% 2.06/1.65 inference(symmetry,[status(thm)],[1528])).
% 2.06/1.65 tff(1530,plain,
% 2.06/1.65 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))) = get(int, int, t2tb1(A9!18), t2tb(7)))),
% 2.06/1.65 inference(quant_inst,[status(thm)],[])).
% 2.06/1.65 tff(1531,plain,
% 2.06/1.65 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(7)))) = get(int, int, t2tb1(A9!18), t2tb(7))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1530, 194])).
% 2.06/1.65 tff(1532,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(7)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(7))))),
% 2.06/1.65 inference(symmetry,[status(thm)],[1531])).
% 2.06/1.65 tff(1533,plain,
% 2.06/1.65 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(1)),
% 2.06/1.65 inference(transitivity,[status(thm)],[1051, 1050, 1532, 1529])).
% 2.06/1.65 tff(1534,plain,
% 2.06/1.65 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[199, 1533])).
% 2.06/1.65 tff(1535,plain,
% 2.06/1.65 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1325, 75])).
% 2.06/1.65 tff(1536,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[254, 111, 95, 1535])).
% 2.06/1.65 tff(1537,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[256, 1536])).
% 2.06/1.65 tff(1538,plain,
% 2.06/1.65 ((4 = 1) <=> $false),
% 2.06/1.65 inference(rewrite,[status(thm)],[])).
% 2.06/1.65 tff(1539,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.65 inference(transitivity,[status(thm)],[175, 177])).
% 2.06/1.65 tff(1540,plain,
% 2.06/1.65 (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[1539])).
% 2.06/1.65 tff(1541,plain,
% 2.06/1.65 (4 = 1),
% 2.06/1.65 inference(transitivity,[status(thm)],[186, 1540, 1054])).
% 2.06/1.65 tff(1542,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(modus_ponens,[status(thm)],[1541, 1538])).
% 2.06/1.65 tff(1543,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1544,plain,
% 2.06/1.65 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1543, 75])).
% 2.06/1.65 tff(1545,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[889, 1544])).
% 2.06/1.65 tff(1546,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[877, 1545])).
% 2.06/1.65 tff(1547,plain,
% 2.06/1.65 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1145, 1546])).
% 2.06/1.65 tff(1548,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[343, 111, 95, 1526])).
% 2.06/1.65 tff(1549,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[345, 1548])).
% 2.06/1.65 tff(1550,plain,
% 2.06/1.65 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[378, 1549, 1547, 1537, 1317, 1318])).
% 2.06/1.65 tff(1551,plain,
% 2.06/1.65 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[380, 1550])).
% 2.06/1.65 tff(1552,plain,
% 2.06/1.65 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[410, 1551])).
% 2.06/1.65 tff(1553,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[426, 1552])).
% 2.06/1.65 tff(1554,plain,
% 2.06/1.65 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[453, 1553])).
% 2.06/1.65 tff(1555,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(symmetry,[status(thm)],[1554])).
% 2.06/1.65 tff(1556,plain,
% 2.06/1.65 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 2.06/1.65 inference(transitivity,[status(thm)],[1555, 227, 1534])).
% 2.06/1.65 tff(1557,plain,
% 2.06/1.65 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))),
% 2.06/1.65 inference(monotonicity,[status(thm)],[1556])).
% 2.06/1.65 tff(1558,plain,
% 2.06/1.65 (6 = 3),
% 2.06/1.65 inference(transitivity,[status(thm)],[203, 1557, 63])).
% 2.06/1.65 tff(1559,plain,
% 2.06/1.65 ($false),
% 2.06/1.65 inference(modus_ponens,[status(thm)],[1558, 1527])).
% 2.06/1.65 tff(1560,plain,((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.65 tff(1561,plain,
% 2.06/1.65 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[1560, 1526, 1318, 1317])).
% 2.06/1.65 tff(1562,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[130, 1561])).
% 2.06/1.65 tff(1563,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[132, 1562])).
% 2.06/1.65 tff(1564,plain,
% 2.06/1.65 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[134, 1563])).
% 2.06/1.65 tff(1565,plain,
% 2.06/1.65 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[990, 182, 183])).
% 2.06/1.65 tff(1566,plain,
% 2.06/1.65 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 2.06/1.65 inference(unit_resolution,[status(thm)],[889, 1565])).
% 2.06/1.65 tff(1567,plain,
% 2.06/1.65 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[877, 1566])).
% 2.06/1.66 tff(1568,plain,
% 2.06/1.66 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1145, 1567])).
% 2.06/1.66 tff(1569,plain,
% 2.06/1.66 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1197, 1568])).
% 2.06/1.66 tff(1570,plain,
% 2.06/1.66 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[982, 1569])).
% 2.06/1.66 tff(1571,plain,
% 2.06/1.66 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[960, 1570])).
% 2.06/1.66 tff(1572,assumption,((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))), introduced(assumption)).
% 2.06/1.66 tff(1573,plain,
% 2.06/1.66 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : refl(((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))))) <=> ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))))))),
% 2.06/1.66 inference(bind,[status(th)],[])).
% 2.06/1.66 tff(1574,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))),
% 2.06/1.66 inference(quant_intro,[status(thm)],[1573])).
% 2.06/1.66 tff(1575,plain,
% 2.06/1.66 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : rewrite(((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))) <=> ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))))))),
% 2.06/1.66 inference(bind,[status(th)],[])).
% 2.06/1.66 tff(1576,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))),
% 2.06/1.66 inference(quant_intro,[status(thm)],[1575])).
% 2.06/1.66 tff(1577,plain,
% 2.06/1.66 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : rewrite(((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(occ1(A, V, M, L, U), $sum($product(-1, U), L)), 0))) <=> ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0))))),
% 2.06/1.66 inference(bind,[status(th)],[])).
% 2.06/1.66 tff(1578,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(occ1(A, V, M, L, U), $sum($product(-1, U), L)), 0))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))),
% 2.06/1.66 inference(quant_intro,[status(thm)],[1577])).
% 2.06/1.66 tff(1579,plain,
% 2.06/1.66 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : rewrite(((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))) <=> ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(occ1(A, V, M, L, U), $sum($product(-1, U), L)), 0))))),
% 2.06/1.66 inference(bind,[status(th)],[])).
% 2.06/1.66 tff(1580,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(occ1(A, V, M, L, U), $sum($product(-1, U), L)), 0)))),
% 2.06/1.66 inference(quant_intro,[status(thm)],[1579])).
% 2.06/1.66 tff(1581,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1582,plain,
% 2.06/1.66 (^[A: ty, V: uni, M: uni, L: $int, U: $int] : trans(monotonicity(rewrite(($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $difference(U, L))) <=> ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))), (($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $difference(U, L)))) <=> ($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))))), rewrite(($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L))))) <=> ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))), (($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $difference(U, L)))) <=> ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))))),
% 2.06/1.66 inference(bind,[status(th)],[])).
% 2.06/1.66 tff(1583,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $difference(U, L)))) <=> ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))),
% 2.06/1.66 inference(quant_intro,[status(thm)],[1582])).
% 2.06/1.66 tff(1584,axiom,(![A: ty, V: uni, M: uni, L: $int, U: $int] : ($lesseq(L, U) => ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $difference(U, L))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','occ_bounds')).
% 2.06/1.66 tff(1585,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 2.06/1.66 tff(1586,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq(L, U)) | ($lesseq(0, occ1(A, V, M, L, U)) & $lesseq(occ1(A, V, M, L, U), $sum(U, $product(-1, L)))))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1585, 1581])).
% 2.06/1.66 tff(1587,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(occ1(A, V, M, L, U), $sum($product(-1, U), L)), 0)))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1586, 1580])).
% 2.06/1.66 tff(1588,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1587, 1578])).
% 2.06/1.66 tff(1589,plain,(
% 2.06/1.66 ![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | ($greatereq(occ1(A, V, M, L, U), 0) & $lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))),
% 2.06/1.66 inference(skolemize,[status(sab)],[1588])).
% 2.06/1.66 tff(1590,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1589, 1576])).
% 2.06/1.66 tff(1591,plain,
% 2.06/1.66 (![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1590, 1574])).
% 2.06/1.66 tff(1592,plain,
% 2.06/1.66 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)))))),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1593,plain,
% 2.06/1.66 (($false | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))) <=> (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1594,plain,
% 2.06/1.66 ((~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)))) <=> (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1595,plain,
% 2.06/1.66 ((~$true) <=> $false),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1596,plain,
% 2.06/1.66 ($lesseq(-1, 0) <=> $true),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1597,plain,
% 2.06/1.66 ($sum(0, -1) = -1),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1598,plain,
% 2.06/1.66 ($product(-1, 1) = -1),
% 2.06/1.66 inference(rewrite,[status(thm)],[])).
% 2.06/1.66 tff(1599,plain,
% 2.06/1.66 ($sum(0, $product(-1, 1)) = $sum(0, -1)),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1598])).
% 2.06/1.66 tff(1600,plain,
% 2.06/1.66 ($sum(0, $product(-1, 1)) = -1),
% 2.06/1.66 inference(transitivity,[status(thm)],[1599, 1597])).
% 2.06/1.66 tff(1601,plain,
% 2.06/1.66 ($lesseq($sum(0, $product(-1, 1)), 0) <=> $lesseq(-1, 0)),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1600])).
% 2.06/1.66 tff(1602,plain,
% 2.06/1.66 ($lesseq($sum(0, $product(-1, 1)), 0) <=> $true),
% 2.06/1.66 inference(transitivity,[status(thm)],[1601, 1596])).
% 2.06/1.66 tff(1603,plain,
% 2.06/1.66 ((~$lesseq($sum(0, $product(-1, 1)), 0)) <=> (~$true)),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1602])).
% 2.06/1.66 tff(1604,plain,
% 2.06/1.66 ((~$lesseq($sum(0, $product(-1, 1)), 0)) <=> $false),
% 2.06/1.66 inference(transitivity,[status(thm)],[1603, 1595])).
% 2.06/1.66 tff(1605,plain,
% 2.06/1.66 (((~$lesseq($sum(0, $product(-1, 1)), 0)) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0))))) <=> ($false | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)))))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1604, 1594])).
% 2.06/1.66 tff(1606,plain,
% 2.06/1.66 (((~$lesseq($sum(0, $product(-1, 1)), 0)) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0))))) <=> (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))),
% 2.06/1.66 inference(transitivity,[status(thm)],[1605, 1593])).
% 2.06/1.66 tff(1607,plain,
% 2.06/1.66 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | ((~$lesseq($sum(0, $product(-1, 1)), 0)) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)))))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1606])).
% 2.06/1.66 tff(1608,plain,
% 2.06/1.66 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | ((~$lesseq($sum(0, $product(-1, 1)), 0)) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)))))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)))))),
% 2.06/1.66 inference(transitivity,[status(thm)],[1607, 1592])).
% 2.06/1.66 tff(1609,plain,
% 2.06/1.66 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | ((~$lesseq($sum(0, $product(-1, 1)), 0)) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq($sum(0, $sum($product(-1, 1), occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)))))),
% 2.06/1.66 inference(quant_inst,[status(thm)],[])).
% 2.06/1.66 tff(1610,plain,
% 2.06/1.66 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ((~$lesseq($sum(L, $product(-1, U)), 0)) | (~((~$greatereq(occ1(A, V, M, L, U), 0)) | (~$lesseq($sum(L, $sum($product(-1, U), occ1(A, V, M, L, U))), 0)))))) | (~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))))),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 2.06/1.66 tff(1611,plain,
% 2.06/1.66 ($false),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1610, 1591, 1572])).
% 2.06/1.66 tff(1612,plain,(~((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.66 tff(1613,plain,
% 2.06/1.66 (((~$greatereq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1))) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)),
% 2.06/1.66 inference(tautology,[status(thm)],[])).
% 2.06/1.66 tff(1614,plain,
% 2.06/1.66 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1613, 1612])).
% 2.06/1.66 tff(1615,assumption,($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)), introduced(assumption)).
% 2.06/1.66 tff(1616,plain,
% 2.06/1.66 ($false),
% 2.06/1.66 inference(theory_lemma,[status(thm)],[1318, 948, 1364, 1471, 1316, 183, 182, 466, 996, 836, 895, 1615])).
% 2.06/1.66 tff(1617,plain,((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 1)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.66 tff(1618,plain,
% 2.06/1.66 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1617, 1614])).
% 2.06/1.66 tff(1619,plain,
% 2.06/1.66 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1618, 1549, 1567, 183, 182, 1571, 1318])).
% 2.06/1.66 tff(1620,plain,
% 2.06/1.66 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[899, 1619])).
% 2.06/1.66 tff(1621,plain,
% 2.06/1.66 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[919, 1620])).
% 2.06/1.66 tff(1622,plain,
% 2.06/1.66 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9))),
% 2.06/1.66 inference(symmetry,[status(thm)],[1621])).
% 2.06/1.66 tff(1623,plain,
% 2.06/1.66 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.66 inference(transitivity,[status(thm)],[1622, 464])).
% 2.06/1.66 tff(1624,plain,
% 2.06/1.66 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1623])).
% 2.06/1.66 tff(1625,plain,
% 2.06/1.66 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 6),
% 2.06/1.66 inference(transitivity,[status(thm)],[1624, 202])).
% 2.06/1.66 tff(1626,plain,
% 2.06/1.66 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[1361, 1571, 1567])).
% 2.06/1.66 tff(1627,plain,
% 2.06/1.66 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[254, 111, 95, 1626])).
% 2.06/1.66 tff(1628,plain,
% 2.06/1.66 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[256, 1627])).
% 2.06/1.66 tff(1629,plain,
% 2.06/1.66 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[378, 1549, 1568, 1628, 1317, 1318])).
% 2.06/1.66 tff(1630,plain,
% 2.06/1.66 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[380, 1629])).
% 2.06/1.66 tff(1631,plain,
% 2.06/1.66 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[410, 1630])).
% 2.06/1.66 tff(1632,plain,
% 2.06/1.66 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[426, 1631])).
% 2.06/1.66 tff(1633,plain,
% 2.06/1.66 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.66 inference(unit_resolution,[status(thm)],[453, 1632])).
% 2.06/1.66 tff(1634,plain,
% 2.06/1.66 (set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)) = set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9)))),
% 2.06/1.66 inference(symmetry,[status(thm)],[225])).
% 2.06/1.66 tff(1635,plain,
% 2.06/1.66 (t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))) = set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9)))),
% 2.06/1.66 inference(transitivity,[status(thm)],[56, 1634])).
% 2.06/1.66 tff(1636,plain,
% 2.06/1.66 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1635])).
% 2.06/1.66 tff(1637,plain,
% 2.06/1.66 (t2tb(6) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.66 inference(transitivity,[status(thm)],[204, 207, 463, 1621])).
% 2.06/1.66 tff(1638,plain,
% 2.06/1.66 (get(int, int, t2tb1(A9!18), t2tb(6)) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[58, 1637])).
% 2.06/1.66 tff(1639,plain,
% 2.06/1.66 (get(int, int, t2tb1(A9!18), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.66 inference(transitivity,[status(thm)],[1638, 1636, 1633, 463, 1621])).
% 2.06/1.66 tff(1640,plain,
% 2.06/1.66 (tb2t(get(int, int, t2tb1(A9!18), t2tb(6))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.66 inference(monotonicity,[status(thm)],[1639])).
% 2.06/1.66 tff(1641,plain,
% 2.06/1.66 (0 = 6),
% 2.06/1.66 inference(transitivity,[status(thm)],[142, 1640, 1625])).
% 2.06/1.66 tff(1642,plain,
% 2.06/1.66 ($false),
% 2.06/1.66 inference(modus_ponens,[status(thm)],[1641, 994])).
% 2.06/1.66 tff(1643,plain,($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.66 tff(1644,plain,
% 2.06/1.66 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1643, 1564, 1318, 1317, 1526])).
% 2.06/1.67 tff(1645,plain,
% 2.06/1.67 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[171, 1644])).
% 2.06/1.67 tff(1646,plain,
% 2.06/1.67 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[169, 1645])).
% 2.06/1.67 tff(1647,plain,
% 2.06/1.67 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[167, 1646])).
% 2.06/1.67 tff(1648,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1074, 1647])).
% 2.06/1.67 tff(1649,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[982, 1648])).
% 2.06/1.67 tff(1650,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[960, 1649])).
% 2.06/1.67 tff(1651,plain,
% 2.06/1.67 ((4 = 0) <=> $false),
% 2.06/1.67 inference(rewrite,[status(thm)],[])).
% 2.06/1.67 tff(1652,plain,
% 2.06/1.67 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = get(int, int, t2tb1(A9!18), t2tb(6))),
% 2.06/1.67 inference(symmetry,[status(thm)],[138])).
% 2.06/1.67 tff(1653,plain,
% 2.06/1.67 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[958, 465, 182, 466])).
% 2.06/1.67 tff(1654,plain,
% 2.06/1.67 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[171, 1653])).
% 2.06/1.67 tff(1655,plain,
% 2.06/1.67 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[169, 1654])).
% 2.06/1.67 tff(1656,plain,
% 2.06/1.67 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[167, 1655])).
% 2.06/1.67 tff(1657,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6))),
% 2.06/1.67 inference(symmetry,[status(thm)],[1656])).
% 2.06/1.67 tff(1658,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(6))),
% 2.06/1.67 inference(transitivity,[status(thm)],[1657, 1652])).
% 2.06/1.67 tff(1659,plain,
% 2.06/1.67 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1658])).
% 2.06/1.67 tff(1660,plain,
% 2.06/1.67 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 0),
% 2.06/1.67 inference(transitivity,[status(thm)],[1659, 141])).
% 2.06/1.67 tff(1661,plain,
% 2.06/1.67 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1144, 465, 1143])).
% 2.06/1.67 tff(1662,plain,
% 2.06/1.67 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[877, 1661])).
% 2.06/1.67 tff(1663,plain,
% 2.06/1.67 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[889, 1662])).
% 2.06/1.67 tff(1664,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(transitivity,[status(thm)],[175, 1663])).
% 2.06/1.67 tff(1665,plain,
% 2.06/1.67 (tb2t(get(int, int, t2tb1(A9!18), t2tb(5))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1664])).
% 2.06/1.67 tff(1666,plain,
% 2.06/1.67 (4 = 0),
% 2.06/1.67 inference(transitivity,[status(thm)],[186, 1665, 1660])).
% 2.06/1.67 tff(1667,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(modus_ponens,[status(thm)],[1666, 1651])).
% 2.06/1.67 tff(1668,plain,((~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1669,plain,
% 2.06/1.67 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1668, 1650, 1564])).
% 2.06/1.67 tff(1670,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[460, 1669])).
% 2.06/1.67 tff(1671,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[889, 1670])).
% 2.06/1.67 tff(1672,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[877, 1671])).
% 2.06/1.67 tff(1673,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1361, 1672, 1650])).
% 2.06/1.67 tff(1674,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[254, 111, 95, 1673])).
% 2.06/1.67 tff(1675,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[256, 1674])).
% 2.06/1.67 tff(1676,plain,
% 2.06/1.67 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[378, 1549, 1669, 1675, 1317, 1318])).
% 2.06/1.67 tff(1677,plain,
% 2.06/1.67 (~(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[380, 1676])).
% 2.06/1.67 tff(1678,plain,
% 2.06/1.67 (~((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0)))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[410, 1677])).
% 2.06/1.67 tff(1679,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[426, 1678])).
% 2.06/1.67 tff(1680,plain,
% 2.06/1.67 (get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[453, 1679])).
% 2.06/1.67 tff(1681,plain,
% 2.06/1.67 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))) = get(int, int, t2tb1(A9!18), t2tb(6)))),
% 2.06/1.67 inference(quant_inst,[status(thm)],[])).
% 2.06/1.67 tff(1682,plain,
% 2.06/1.67 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))) = get(int, int, t2tb1(A9!18), t2tb(6))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1681, 194])).
% 2.06/1.67 tff(1683,plain,
% 2.06/1.67 (t2tb(0) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(6))))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[142])).
% 2.06/1.67 tff(1684,plain,
% 2.06/1.67 (t2tb(0) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.67 inference(transitivity,[status(thm)],[1683, 1682, 138, 1647])).
% 2.06/1.67 tff(1685,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(0)) = get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[58, 1684])).
% 2.06/1.67 tff(1686,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(0)) = get(int, int, t2tb1(A9!18), t2tb(9))),
% 2.06/1.67 inference(transitivity,[status(thm)],[1685, 1636, 1680])).
% 2.06/1.67 tff(1687,plain,
% 2.06/1.67 (tb2t(get(int, int, t2tb1(A9!18), t2tb(0))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(9)))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1686])).
% 2.06/1.67 tff(1688,plain,
% 2.06/1.67 (9 = 6),
% 2.06/1.67 inference(transitivity,[status(thm)],[211, 1687, 202])).
% 2.06/1.67 tff(1689,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(modus_ponens,[status(thm)],[1688, 1525])).
% 2.06/1.67 tff(1690,plain,((get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1691,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1690, 1524, 1519, 1384])).
% 2.06/1.67 tff(1692,plain,(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1693,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1))),
% 2.06/1.67 inference(symmetry,[status(thm)],[1692])).
% 2.06/1.67 tff(1694,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 2.06/1.67 inference(transitivity,[status(thm)],[1693, 65])).
% 2.06/1.67 tff(1695,plain,
% 2.06/1.67 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1694])).
% 2.06/1.67 tff(1696,plain,
% 2.06/1.67 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 3),
% 2.06/1.67 inference(transitivity,[status(thm)],[1695, 63])).
% 2.06/1.67 tff(1697,plain,
% 2.06/1.67 (1 = 3),
% 2.06/1.67 inference(transitivity,[status(thm)],[80, 78, 1696])).
% 2.06/1.67 tff(1698,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(modus_ponens,[status(thm)],[1697, 62])).
% 2.06/1.67 tff(1699,plain,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(7)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1700,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[130, 1699])).
% 2.06/1.67 tff(1701,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[132, 1700])).
% 2.06/1.67 tff(1702,plain,
% 2.06/1.67 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[134, 1701])).
% 2.06/1.67 tff(1703,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(6)),
% 2.06/1.67 inference(transitivity,[status(thm)],[1116, 464, 208, 205])).
% 2.06/1.67 tff(1704,plain,
% 2.06/1.67 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(6))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[199, 1703])).
% 2.06/1.67 tff(1705,plain,
% 2.06/1.67 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(6)))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1704])).
% 2.06/1.67 tff(1706,plain,
% 2.06/1.67 (tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0),
% 2.06/1.67 inference(transitivity,[status(thm)],[1705, 141])).
% 2.06/1.67 tff(1707,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(4)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1290, 1692])).
% 2.06/1.67 tff(1708,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[254, 111, 95, 1707])).
% 2.06/1.67 tff(1709,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[256, 1708])).
% 2.06/1.67 tff(1710,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(5)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[355, 1692])).
% 2.06/1.67 tff(1711,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[889, 1710])).
% 2.06/1.67 tff(1712,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[877, 1711])).
% 2.06/1.67 tff(1713,plain,
% 2.06/1.67 (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1145, 1712])).
% 2.06/1.67 tff(1714,plain,
% 2.06/1.67 ((0 = 3) <=> $false),
% 2.06/1.67 inference(rewrite,[status(thm)],[])).
% 2.06/1.67 tff(1715,plain,
% 2.06/1.67 (0 = 3),
% 2.06/1.67 inference(transitivity,[status(thm)],[142, 140, 1696])).
% 2.06/1.67 tff(1716,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 2.06/1.67 tff(1717,plain,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(6)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1718,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[167, 1717])).
% 2.06/1.67 tff(1719,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[169, 1718])).
% 2.06/1.67 tff(1720,plain,
% 2.06/1.67 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[171, 1719])).
% 2.06/1.67 tff(1721,plain,
% 2.06/1.67 (t2tb(3) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(1))))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[352])).
% 2.06/1.67 tff(1722,plain,
% 2.06/1.67 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))) = t2tb(3)),
% 2.06/1.67 inference(symmetry,[status(thm)],[1721])).
% 2.06/1.67 tff(1723,plain,
% 2.06/1.67 ((~![J: uni] : (t2tb(tb2t(J)) = J)) | (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))) = get(int, int, t2tb1(A9!18), t2tb(1)))),
% 2.06/1.67 inference(quant_inst,[status(thm)],[])).
% 2.06/1.67 tff(1724,plain,
% 2.06/1.67 (t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1723, 194])).
% 2.06/1.67 tff(1725,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(1)) = t2tb(tb2t(get(int, int, t2tb1(A9!18), t2tb(1))))),
% 2.06/1.67 inference(symmetry,[status(thm)],[1724])).
% 2.06/1.67 tff(1726,plain,
% 2.06/1.67 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = t2tb(3)),
% 2.06/1.67 inference(transitivity,[status(thm)],[1693, 65, 1725, 1722])).
% 2.06/1.67 tff(1727,plain,
% 2.06/1.67 (get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[199, 1726])).
% 2.06/1.67 tff(1728,plain,
% 2.06/1.67 (get(int, int, t2tb1(A9!18), t2tb(9)) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 2.06/1.67 inference(transitivity,[status(thm)],[1231, 227, 1727])).
% 2.06/1.67 tff(1729,plain,
% 2.06/1.67 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))),
% 2.06/1.67 inference(monotonicity,[status(thm)],[1728])).
% 2.06/1.67 tff(1730,plain,
% 2.06/1.67 (6 = 2),
% 2.06/1.67 inference(transitivity,[status(thm)],[203, 1729, 48])).
% 2.06/1.67 tff(1731,plain,
% 2.06/1.67 ($false),
% 2.06/1.67 inference(modus_ponens,[status(thm)],[1730, 1467])).
% 2.06/1.67 tff(1732,plain,(~(get(int, int, set(int, int, set(int, int, t2tb1(A7!16), t2tb(8), t2tb(5)), get(int, int, t2tb1(A9!18), t2tb(0)), get(int, int, t2tb1(A9!18), t2tb(9))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = get(int, int, t2tb1(A9!18), t2tb(9)))), inference(lemma,lemma(discharge,[]))).
% 2.06/1.67 tff(1733,plain,
% 2.06/1.67 (~(get(int, int, t2tb1(A9!18), t2tb(0)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[453, 1732])).
% 2.06/1.67 tff(1734,plain,
% 2.06/1.67 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | $greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 1) | (~$greatereq(tptp_fun_I_5(1, 0, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), int), 0))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[426, 1733])).
% 2.06/1.67 tff(1735,plain,
% 2.06/1.67 (occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[410, 1734])).
% 2.06/1.67 tff(1736,plain,
% 2.06/1.67 ($lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[380, 1735])).
% 2.06/1.67 tff(1737,assumption,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)), introduced(assumption)).
% 2.06/1.67 tff(1738,assumption,(~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)), introduced(assumption)).
% 2.06/1.67 tff(1739,plain,
% 2.06/1.67 (~$greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 8)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1174, 1738])).
% 2.06/1.67 tff(1740,plain,
% 2.06/1.67 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 8)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[311, 1739])).
% 2.06/1.67 tff(1741,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[325, 1740])).
% 2.06/1.67 tff(1742,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1206, 1741])).
% 2.06/1.67 tff(1743,plain,
% 2.06/1.67 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[345, 1742])).
% 2.06/1.67 tff(1744,plain,
% 2.06/1.67 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 5)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[1169, 1738])).
% 2.06/1.67 tff(1745,plain,
% 2.06/1.67 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(2)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[279, 1744])).
% 2.06/1.67 tff(1746,plain,
% 2.06/1.67 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[303, 111, 95, 1745])).
% 2.06/1.67 tff(1747,plain,
% 2.06/1.67 ($greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[305, 1746])).
% 2.06/1.67 tff(1748,plain,
% 2.06/1.67 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 2.06/1.67 inference(unit_resolution,[status(thm)],[378, 1747, 1314, 1743, 1737, 347])).
% 2.06/1.67 tff(1749,plain,
% 2.06/1.67 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[376, 1748])).
% 2.06/1.68 tff(1750,plain,
% 2.06/1.68 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[373, 111, 95, 1749])).
% 2.06/1.68 tff(1751,plain,
% 2.06/1.68 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1))),
% 2.06/1.68 inference(symmetry,[status(thm)],[1750])).
% 2.06/1.68 tff(1752,plain,
% 2.06/1.68 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(1))),
% 2.06/1.68 inference(transitivity,[status(thm)],[1751, 65])).
% 2.06/1.68 tff(1753,plain,
% 2.06/1.68 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(1)))),
% 2.06/1.68 inference(monotonicity,[status(thm)],[1752])).
% 2.06/1.68 tff(1754,plain,
% 2.06/1.68 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 3),
% 2.06/1.68 inference(transitivity,[status(thm)],[1753, 63])).
% 2.06/1.68 tff(1755,plain,
% 2.06/1.68 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[1197, 347])).
% 2.06/1.68 tff(1756,plain,
% 2.06/1.68 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[982, 1755])).
% 2.06/1.68 tff(1757,plain,
% 2.06/1.68 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[960, 1756])).
% 2.06/1.68 tff(1758,plain,
% 2.06/1.68 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[925, 1757])).
% 2.06/1.68 tff(1759,assumption,(~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 1)), introduced(assumption)).
% 2.06/1.68 tff(1760,plain,
% 2.06/1.68 ((~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 1)),
% 2.06/1.68 inference(theory_lemma,[status(thm)],[])).
% 2.06/1.68 tff(1761,plain,
% 2.06/1.68 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)),
% 2.06/1.68 inference(unit_resolution,[status(thm)],[1760, 1759])).
% 2.06/1.68 tff(1762,plain,
% 2.06/1.68 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))),
% 2.12/1.68 inference(rewrite,[status(thm)],[])).
% 2.12/1.68 tff(1763,plain,
% 2.12/1.68 (($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))),
% 2.12/1.68 inference(rewrite,[status(thm)],[])).
% 2.12/1.68 tff(1764,plain,
% 2.12/1.68 (($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1) <=> ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)),
% 2.12/1.68 inference(rewrite,[status(thm)],[])).
% 2.12/1.68 tff(1765,plain,
% 2.12/1.68 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) <=> (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))))),
% 2.12/1.68 inference(rewrite,[status(thm)],[])).
% 2.12/1.68 tff(1766,plain,
% 2.12/1.68 (($greatereq($sum(0, $product(-1, 2)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1)) <=> ($false | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))),
% 2.12/1.68 inference(monotonicity,[status(thm)],[367, 1765, 1764])).
% 2.12/1.68 tff(1767,plain,
% 2.12/1.68 (($greatereq($sum(0, $product(-1, 2)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1)) <=> ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))),
% 2.12/1.68 inference(transitivity,[status(thm)],[1766, 1763])).
% 2.12/1.68 tff(1768,plain,
% 2.12/1.68 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)))),
% 2.12/1.68 inference(monotonicity,[status(thm)],[1767])).
% 2.12/1.68 tff(1769,plain,
% 2.12/1.68 (((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1))) <=> ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1))),
% 2.12/1.68 inference(transitivity,[status(thm)],[1768, 1762])).
% 2.12/1.68 tff(1770,plain,
% 2.12/1.68 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | ($greatereq($sum(0, $product(-1, 2)), 0) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb($sum(-1, 2))) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, $sum(-1, 2)))) = 1))),
% 2.12/1.68 inference(quant_inst,[status(thm)],[])).
% 2.12/1.68 tff(1771,plain,
% 2.12/1.68 ((~![A: ty, V: uni, M: uni, L: $int, U: $int] : ($greatereq($sum(L, $product(-1, U)), 0) | (~(get(A, int, M, t2tb($sum(-1, U))) = V)) | ($sum(occ1(A, V, M, L, U), $product(-1, occ1(A, V, M, L, $sum(-1, U)))) = 1))) | (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)),
% 2.12/1.68 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 2.12/1.68 tff(1772,plain,
% 2.12/1.68 ((~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) | ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 1)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1771, 855])).
% 2.12/1.68 tff(1773,plain,
% 2.12/1.68 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1772, 1761])).
% 2.12/1.68 tff(1774,plain,
% 2.12/1.68 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)) | $lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 1)),
% 2.12/1.68 inference(theory_lemma,[status(thm)],[])).
% 2.12/1.68 tff(1775,plain,
% 2.12/1.68 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 0)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1774, 1759])).
% 2.12/1.68 tff(1776,plain,
% 2.12/1.68 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))) = 0)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[376, 1775])).
% 2.12/1.68 tff(1777,plain,
% 2.12/1.68 ($false),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[374, 1776, 1773])).
% 2.12/1.68 tff(1778,plain,($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1))), 1)), inference(lemma,lemma(discharge,[]))).
% 2.12/1.68 tff(1779,plain,
% 2.12/1.68 ($false),
% 2.12/1.68 inference(theory_lemma,[status(thm)],[1778, 1317, 1316, 1737, 183, 182, 947, 996, 836, 895, 948, 1314])).
% 2.12/1.68 tff(1780,plain,((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 2), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0))), inference(lemma,lemma(discharge,[]))).
% 2.12/1.68 tff(1781,plain,
% 2.12/1.68 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1780, 1747, 1743, 1737, 183, 182, 1758, 948, 1314])).
% 2.12/1.68 tff(1782,plain,
% 2.12/1.68 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[899, 1781])).
% 2.12/1.68 tff(1783,plain,
% 2.12/1.68 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[919, 1782])).
% 2.12/1.68 tff(1784,plain,
% 2.12/1.68 (get(int, int, t2tb1(A9!18), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.12/1.68 inference(transitivity,[status(thm)],[463, 1783])).
% 2.12/1.68 tff(1785,plain,
% 2.12/1.68 (tb2t(get(int, int, t2tb1(A9!18), t2tb(9))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.12/1.68 inference(monotonicity,[status(thm)],[1784])).
% 2.12/1.68 tff(1786,plain,
% 2.12/1.68 (6 = 3),
% 2.12/1.68 inference(transitivity,[status(thm)],[203, 1785, 1754])).
% 2.12/1.68 tff(1787,plain,
% 2.12/1.68 ($false),
% 2.12/1.68 inference(modus_ponens,[status(thm)],[1786, 1527])).
% 2.12/1.68 tff(1788,plain,($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6))), 1) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 6), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5))), 0)) | (~$lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 1), 0)) | $lesseq(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 5), 0)), inference(lemma,lemma(discharge,[]))).
% 2.12/1.68 tff(1789,plain,
% 2.12/1.68 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1788, 1736, 1720, 1713, 1712, 1709])).
% 2.12/1.68 tff(1790,plain,
% 2.12/1.68 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 5)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1789, 1702])).
% 2.12/1.68 tff(1791,plain,
% 2.12/1.68 ($greatereq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 3)),
% 2.12/1.68 inference(unit_resolution,[status(thm)],[1279, 1790])).
% 2.12/1.68 tff(1792,plain,
% 2.12/1.68 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1276, 1791])).
% 2.12/1.69 tff(1793,plain,
% 2.12/1.69 ($lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 1) | (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0))),
% 2.12/1.69 inference(theory_lemma,[status(thm)],[])).
% 2.12/1.69 tff(1794,plain,
% 2.12/1.69 (~$lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1793, 1792])).
% 2.12/1.69 tff(1795,plain,
% 2.12/1.69 ((~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)) | $lesseq(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), 0)),
% 2.12/1.69 inference(theory_lemma,[status(thm)],[])).
% 2.12/1.69 tff(1796,plain,
% 2.12/1.69 (~(tb2t(get(int, int, t2tb1(tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))), t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))) = 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1795, 1794])).
% 2.12/1.69 tff(1797,plain,
% 2.12/1.69 ($false),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1796, 1706])).
% 2.12/1.69 tff(1798,plain,(~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(9)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))), inference(lemma,lemma(discharge,[]))).
% 2.12/1.69 tff(1799,plain,
% 2.12/1.69 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))) = 0),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[919, 1798])).
% 2.12/1.69 tff(1800,plain,
% 2.12/1.69 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[899, 1799])).
% 2.12/1.69 tff(1801,plain,
% 2.12/1.69 (~(get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(8)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1183, 1692])).
% 2.12/1.69 tff(1802,plain,
% 2.12/1.69 ($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))) = 0),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[982, 1801])).
% 2.12/1.69 tff(1803,plain,
% 2.12/1.69 ($lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[960, 1802])).
% 2.12/1.69 tff(1804,plain,
% 2.12/1.69 (~$greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8))), 1)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[925, 1803])).
% 2.12/1.69 tff(1805,plain,
% 2.12/1.69 ((~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 10), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 9))), 0)) | (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)) | $greatereq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 8), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 7))), 1)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1780, 1736, 1712, 1384, 1720, 1804, 1709])).
% 2.12/1.69 tff(1806,plain,
% 2.12/1.69 (~$lesseq($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))), 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1805, 1800, 1702])).
% 2.12/1.69 tff(1807,plain,
% 2.12/1.69 (~($sum(occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 4), $product(-1, occ1(int, t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))), set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), 0, 3))) = 0)),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[345, 1806])).
% 2.12/1.69 tff(1808,plain,
% 2.12/1.69 (get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.12/1.69 inference(unit_resolution,[status(thm)],[1206, 1807])).
% 2.12/1.69 tff(1809,plain,
% 2.12/1.69 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)), t2tb(3))),
% 2.12/1.69 inference(symmetry,[status(thm)],[1808])).
% 2.12/1.69 tff(1810,plain,
% 2.12/1.69 (t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))) = get(int, int, t2tb1(A9!18), t2tb(3))),
% 2.12/1.69 inference(transitivity,[status(thm)],[1809, 61])).
% 2.12/1.69 tff(1811,plain,
% 2.12/1.69 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = tb2t(get(int, int, t2tb1(A9!18), t2tb(3)))),
% 2.12/1.69 inference(monotonicity,[status(thm)],[1810])).
% 2.12/1.69 tff(1812,plain,
% 2.12/1.69 (tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))) = 2),
% 2.12/1.69 inference(transitivity,[status(thm)],[1811, 48])).
% 2.12/1.69 tff(1813,plain,
% 2.12/1.69 (get(int, int, t2tb1(A9!18), t2tb(1)) = t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6)))))),
% 2.12/1.69 inference(transitivity,[status(thm)],[64, 1692])).
% 2.12/1.69 tff(1814,plain,
% 2.12/1.69 (tb2t(get(int, int, t2tb1(A9!18), t2tb(1))) = tb2t(t2tb(tptp_fun_V_8(10, tb2t1(set(int, int, t2tb1(A8!17), t2tb(9), t2tb(6))))))),
% 2.12/1.69 inference(monotonicity,[status(thm)],[1813])).
% 2.12/1.69 tff(1815,plain,
% 2.12/1.69 (3 = 2),
% 2.12/1.69 inference(transitivity,[status(thm)],[352, 1814, 1812])).
% 2.12/1.69 tff(1816,plain,
% 2.12/1.69 ($false),
% 2.12/1.69 inference(modus_ponens,[status(thm)],[1815, 1])).
% 2.12/1.69 % SZS output end Proof
%------------------------------------------------------------------------------