TSTP Solution File: SWW578_2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW578_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 20:59:20 EDT 2022
% Result : Theorem 0.17s 0.40s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWW578_2 : TPTP v8.1.0. Released v6.1.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Sep 4 20:13:16 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.32 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.32 Usage: tptp [options] [-file:]file
% 0.12/0.32 -h, -? prints this message.
% 0.12/0.32 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.32 -m, -model generate model.
% 0.12/0.32 -p, -proof generate proof.
% 0.12/0.32 -c, -core generate unsat core of named formulas.
% 0.12/0.32 -st, -statistics display statistics.
% 0.12/0.32 -t:timeout set timeout (in second).
% 0.12/0.32 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.32 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.32 -<param>:<value> configuration parameter and value.
% 0.12/0.32 -o:<output-file> file to place output in.
% 0.17/0.40 % SZS status Theorem
% 0.17/0.40 % SZS output start Proof
% 0.17/0.40 tff(to_int1_type, type, (
% 0.17/0.40 to_int1: int321 > $int)).
% 0.17/0.40 tff(tptp_fun_L_7_type, type, (
% 0.17/0.40 tptp_fun_L_7: int321)).
% 0.17/0.40 tff(in_bounds1_type, type, (
% 0.17/0.40 in_bounds1: $int > $o)).
% 0.17/0.40 tff(tptp_fun_O5_12_type, type, (
% 0.17/0.40 tptp_fun_O5_12: int321)).
% 0.17/0.40 tff(tptp_fun_M_13_type, type, (
% 0.17/0.40 tptp_fun_M_13: int321)).
% 0.17/0.40 tff(tptp_fun_A_2_type, type, (
% 0.17/0.40 tptp_fun_A_2: int321)).
% 0.17/0.40 tff(tptp_fun_U_8_type, type, (
% 0.17/0.40 tptp_fun_U_8: int321)).
% 0.17/0.40 tff(get3_type, type, (
% 0.17/0.40 get3: ( map_int_int32 * $int ) > int321)).
% 0.17/0.40 tff(tptp_fun_A1_1_type, type, (
% 0.17/0.40 tptp_fun_A1_1: map_int_int32)).
% 0.17/0.40 tff(tptp_fun_V_0_type, type, (
% 0.17/0.40 tptp_fun_V_0: int321)).
% 0.17/0.40 tff(true1_type, type, (
% 0.17/0.40 true1: bool1)).
% 0.17/0.40 tff(tptp_fun_Result2_19_type, type, (
% 0.17/0.40 tptp_fun_Result2_19: bool1)).
% 0.17/0.40 tff(tptp_fun_U1_22_type, type, (
% 0.17/0.40 tptp_fun_U1_22: int321)).
% 0.17/0.40 tff(tptp_fun_I_23_type, type, (
% 0.17/0.40 tptp_fun_I_23: $int)).
% 0.17/0.40 tff(tptp_fun_O7_21_type, type, (
% 0.17/0.40 tptp_fun_O7_21: int321)).
% 0.17/0.40 tff(tptp_fun_O6_20_type, type, (
% 0.17/0.40 tptp_fun_O6_20: int321)).
% 0.17/0.40 tff(tptp_fun_Result1_14_type, type, (
% 0.17/0.40 tptp_fun_Result1_14: bool1)).
% 0.17/0.40 tff(tptp_fun_I_18_type, type, (
% 0.17/0.40 tptp_fun_I_18: $int)).
% 0.17/0.40 tff(tptp_fun_L1_17_type, type, (
% 0.17/0.40 tptp_fun_L1_17: int321)).
% 0.17/0.40 tff(tptp_fun_O7_16_type, type, (
% 0.17/0.40 tptp_fun_O7_16: int321)).
% 0.17/0.40 tff(tptp_fun_O6_15_type, type, (
% 0.17/0.40 tptp_fun_O6_15: int321)).
% 0.17/0.40 tff(div1_type, type, (
% 0.17/0.40 div1: ( $int * $int ) > $int)).
% 0.17/0.40 tff(tptp_fun_O3_10_type, type, (
% 0.17/0.40 tptp_fun_O3_10: int321)).
% 0.17/0.40 tff(tptp_fun_O4_11_type, type, (
% 0.17/0.40 tptp_fun_O4_11: int321)).
% 0.17/0.40 tff(tptp_fun_Result_9_type, type, (
% 0.17/0.40 tptp_fun_Result_9: bool1)).
% 0.17/0.40 tff(tptp_fun_I_24_type, type, (
% 0.17/0.40 tptp_fun_I_24: $int)).
% 0.17/0.40 tff(tptp_fun_O2_5_type, type, (
% 0.17/0.40 tptp_fun_O2_5: int321)).
% 0.17/0.40 tff(tptp_fun_O1_4_type, type, (
% 0.17/0.40 tptp_fun_O1_4: int321)).
% 0.17/0.40 tff(tptp_fun_I_6_type, type, (
% 0.17/0.40 tptp_fun_I_6: $int)).
% 0.17/0.40 tff(tptp_fun_O_3_type, type, (
% 0.17/0.40 tptp_fun_O_3: int321)).
% 0.17/0.40 tff(abs1_type, type, (
% 0.17/0.40 abs1: $int > $int)).
% 0.17/0.40 tff(mod1_type, type, (
% 0.17/0.40 mod1: ( $int * $int ) > $int)).
% 0.17/0.40 tff(1,plain,
% 0.17/0.40 (^[N: $int] : refl((in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647))))) <=> (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647))))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(2,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647))))) <=> ![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.17/0.40 tff(3,plain,
% 0.17/0.40 (^[N: $int] : rewrite((in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647))) <=> (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647))))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(4,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647))) <=> ![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[3])).
% 0.17/0.40 tff(5,plain,
% 0.17/0.40 (^[N: $int] : rewrite((in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647))) <=> (in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(6,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647))) <=> ![N: $int] : (in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[5])).
% 0.17/0.40 tff(7,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647))) <=> ![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(8,plain,
% 0.17/0.40 (^[N: $int] : rewrite((in_bounds1(N) <=> ($lesseq($uminus(2147483648), N) & $lesseq(N, 2147483647))) <=> (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(9,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($lesseq($uminus(2147483648), N) & $lesseq(N, 2147483647))) <=> ![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[8])).
% 0.17/0.40 tff(10,axiom,(![N: $int] : (in_bounds1(N) <=> ($lesseq($uminus(2147483648), N) & $lesseq(N, 2147483647)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','in_bounds_def')).
% 0.17/0.40 tff(11,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.17/0.40 tff(12,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($lesseq(-2147483648, N) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.17/0.40 tff(13,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[12, 6])).
% 0.17/0.40 tff(14,plain,(
% 0.17/0.40 ![N: $int] : (in_bounds1(N) <=> ($greatereq(N, -2147483648) & $lesseq(N, 2147483647)))),
% 0.17/0.40 inference(skolemize,[status(sab)],[13])).
% 0.17/0.40 tff(15,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[14, 4])).
% 0.17/0.40 tff(16,plain,
% 0.17/0.40 (![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.17/0.40 tff(17,plain,
% 0.17/0.40 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(to_int1(L!7)) <=> (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647)))))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(18,plain,
% 0.17/0.40 (in_bounds1(to_int1(L!7)) <=> (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647))))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.17/0.40 tff(19,plain,
% 0.17/0.40 (^[N: int321] : refl(in_bounds1(to_int1(N)) <=> in_bounds1(to_int1(N)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(20,plain,
% 0.17/0.40 (![N: int321] : in_bounds1(to_int1(N)) <=> ![N: int321] : in_bounds1(to_int1(N))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[19])).
% 0.17/0.40 tff(21,plain,
% 0.17/0.40 (![N: int321] : in_bounds1(to_int1(N)) <=> ![N: int321] : in_bounds1(to_int1(N))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(22,axiom,(![N: int321] : in_bounds1(to_int1(N))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','to_int_in_bounds')).
% 0.17/0.40 tff(23,plain,
% 0.17/0.40 (![N: int321] : in_bounds1(to_int1(N))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.17/0.40 tff(24,plain,(
% 0.17/0.40 ![N: int321] : in_bounds1(to_int1(N))),
% 0.17/0.40 inference(skolemize,[status(sab)],[23])).
% 0.17/0.40 tff(25,plain,
% 0.17/0.40 (![N: int321] : in_bounds1(to_int1(N))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.17/0.40 tff(26,plain,
% 0.17/0.40 ((~![N: int321] : in_bounds1(to_int1(N))) | in_bounds1(to_int1(L!7))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(27,plain,
% 0.17/0.40 (in_bounds1(to_int1(L!7))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.17/0.40 tff(28,plain,
% 0.17/0.40 ((~(in_bounds1(to_int1(L!7)) <=> (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647)))))) | (~in_bounds1(to_int1(L!7))) | (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647))))),
% 0.17/0.40 inference(tautology,[status(thm)],[])).
% 0.17/0.40 tff(29,plain,
% 0.17/0.40 ((~(in_bounds1(to_int1(L!7)) <=> (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647)))))) | (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647))))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.17/0.40 tff(30,plain,
% 0.17/0.40 (~((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647)))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[29, 18])).
% 0.17/0.40 tff(31,plain,
% 0.17/0.40 (((~$greatereq(to_int1(L!7), -2147483648)) | (~$lesseq(to_int1(L!7), 2147483647))) | $lesseq(to_int1(L!7), 2147483647)),
% 0.17/0.40 inference(tautology,[status(thm)],[])).
% 0.17/0.40 tff(32,plain,
% 0.17/0.40 ($lesseq(to_int1(L!7), 2147483647)),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.17/0.40 tff(33,plain,
% 0.17/0.40 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum(to_int1(L!7), to_int1(O5!12))) <=> (~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(34,plain,
% 0.17/0.40 (in_bounds1($sum(to_int1(L!7), to_int1(O5!12))) <=> (~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647))))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[33, 16])).
% 0.17/0.40 tff(35,assumption,(~in_bounds1(0)), introduced(assumption)).
% 0.17/0.40 tff(36,plain,
% 0.17/0.40 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(0)) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(0))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(37,plain,
% 0.17/0.40 ((in_bounds1(0) <=> $true) <=> in_bounds1(0)),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(38,plain,
% 0.17/0.40 ((~$false) <=> $true),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(39,plain,
% 0.17/0.40 (($false | $false) <=> $false),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(40,plain,
% 0.17/0.40 ((~$true) <=> $false),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(41,plain,
% 0.17/0.40 ($lesseq(0, 2147483647) <=> $true),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(42,plain,
% 0.17/0.40 ((~$lesseq(0, 2147483647)) <=> (~$true)),
% 0.17/0.40 inference(monotonicity,[status(thm)],[41])).
% 0.17/0.40 tff(43,plain,
% 0.17/0.40 ((~$lesseq(0, 2147483647)) <=> $false),
% 0.17/0.40 inference(transitivity,[status(thm)],[42, 40])).
% 0.17/0.40 tff(44,plain,
% 0.17/0.40 ($greatereq(0, -2147483648) <=> $true),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(45,plain,
% 0.17/0.40 ((~$greatereq(0, -2147483648)) <=> (~$true)),
% 0.17/0.40 inference(monotonicity,[status(thm)],[44])).
% 0.17/0.40 tff(46,plain,
% 0.17/0.40 ((~$greatereq(0, -2147483648)) <=> $false),
% 0.17/0.40 inference(transitivity,[status(thm)],[45, 40])).
% 0.17/0.40 tff(47,plain,
% 0.17/0.40 (((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647))) <=> ($false | $false)),
% 0.17/0.40 inference(monotonicity,[status(thm)],[46, 43])).
% 0.17/0.40 tff(48,plain,
% 0.17/0.40 (((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647))) <=> $false),
% 0.17/0.40 inference(transitivity,[status(thm)],[47, 39])).
% 0.17/0.40 tff(49,plain,
% 0.17/0.40 ((~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647)))) <=> (~$false)),
% 0.17/0.40 inference(monotonicity,[status(thm)],[48])).
% 0.17/0.40 tff(50,plain,
% 0.17/0.40 ((~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647)))) <=> $true),
% 0.17/0.40 inference(transitivity,[status(thm)],[49, 38])).
% 0.17/0.40 tff(51,plain,
% 0.17/0.40 ((in_bounds1(0) <=> (~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647))))) <=> (in_bounds1(0) <=> $true)),
% 0.17/0.40 inference(monotonicity,[status(thm)],[50])).
% 0.17/0.40 tff(52,plain,
% 0.17/0.40 ((in_bounds1(0) <=> (~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647))))) <=> in_bounds1(0)),
% 0.17/0.40 inference(transitivity,[status(thm)],[51, 37])).
% 0.17/0.40 tff(53,plain,
% 0.17/0.40 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(0) <=> (~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(0))),
% 0.17/0.40 inference(monotonicity,[status(thm)],[52])).
% 0.17/0.40 tff(54,plain,
% 0.17/0.40 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(0) <=> (~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(0))),
% 0.17/0.40 inference(transitivity,[status(thm)],[53, 36])).
% 0.17/0.40 tff(55,plain,
% 0.17/0.40 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(0) <=> (~((~$greatereq(0, -2147483648)) | (~$lesseq(0, 2147483647)))))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(56,plain,
% 0.17/0.40 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(0)),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.17/0.40 tff(57,plain,
% 0.17/0.40 ($false),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[56, 16, 35])).
% 0.17/0.40 tff(58,plain,(in_bounds1(0)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.40 tff(59,plain,
% 0.17/0.40 (((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))))))))))))))))))) <=> ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))))))))))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(60,plain,
% 0.17/0.40 (((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))))))))))))))))))) <=> ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))))))))))))))))))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(61,plain,
% 0.17/0.40 (((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)))))))))))))))) <=> ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))))))))))))))))))),
% 0.17/0.41 inference(rewrite,[status(thm)],[])).
% 0.17/0.41 tff(62,plain,
% 0.17/0.41 ((($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))) & ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))))))))))))))))) <=> ($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) & ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)))))))))))))))))),
% 0.17/0.41 inference(rewrite,[status(thm)],[])).
% 0.17/0.41 tff(63,plain,
% 0.17/0.41 (((~in_bounds1(0)) | ((~(~(to_int1(O!3) = 0))) & ((~in_bounds1(1)) | ((~(~(to_int1(O1!4) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O1!4)), to_int1(A!2)))) | ((~(~($sum(to_int1(O2!5), $sum(to_int1(O1!4), $product(-1, to_int1(A!2)))) = 0))) & ((~$greatereq(to_int1(O!3), 0)) | (~(~$greatereq($sum(to_int1(O2!5), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!6, $product(-1, to_int1(O!3))), 0) & $lesseq($sum(I!6, $product(-1, to_int1(O2!5))), 0)) | (~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$greatereq($sum(I!6, $product(-1, to_int1(A!2))), 0)))))) | (($greatereq(to_int1(L!7), 0) & (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))))) & ((~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))) & (((~(~(Result!9 = true1))) & ((~in_bounds1(2)) | ((~(~(to_int1(O3!10) = 2))) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | ((~(~($sum(to_int1(O4!11), $sum($product(-1, to_int1(U!8)), to_int1(L!7))) = 0))) & ((~(~(to_int1(O3!10) = 0))) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | ((~(~($sum(to_int1(O5!12), $product(-1, div1(to_int1(O4!11), to_int1(O3!10)))) = 0))) & ((~in_bounds1($sum(to_int1(O5!12), to_int1(L!7)))) | ((~(~($sum(to_int1(M!13), $sum($product(-1, to_int1(O5!12)), $product(-1, to_int1(L!7)))) = 0))) & ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))) & (((~(~(Result1!14 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!15) = 1))) & ((~in_bounds1($sum(to_int1(O6!15), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!16), $sum($product(-1, to_int1(O6!15)), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(L1!17 = O7!16))) & ((~$greatereq(to_int1(L1!17), 0)) | (~(~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!18, $product(-1, to_int1(L1!17))), 0) & $lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0)))))) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(L!7))), 0)) | (~(~$lesseq($sum(to_int1(L1!17), $product(-1, to_int1(L!7))), 0)))))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result2!19 = true1) <=> $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(V!0))), 0))) & (((~(~(Result2!19 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!20) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O6!20)), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!21), $sum(to_int1(O6!20), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(U1!22 = O7!21))) & ((~$greatereq(to_int1(L!7), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I!23, $product(-1, to_int1(U1!22))), 0)) | (~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0)))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(U!8))), 0)))))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0))))))))))))))))) <=> ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))))))))))))))))),
% 0.17/0.41 inference(rewrite,[status(thm)],[])).
% 0.17/0.41 tff(64,plain,
% 0.17/0.41 (($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))) <=> ($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)))),
% 0.17/0.41 inference(rewrite,[status(thm)],[])).
% 0.17/0.41 tff(65,plain,
% 0.17/0.41 ((($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))) & ((~in_bounds1(0)) | ((~(~(to_int1(O!3) = 0))) & ((~in_bounds1(1)) | ((~(~(to_int1(O1!4) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O1!4)), to_int1(A!2)))) | ((~(~($sum(to_int1(O2!5), $sum(to_int1(O1!4), $product(-1, to_int1(A!2)))) = 0))) & ((~$greatereq(to_int1(O!3), 0)) | (~(~$greatereq($sum(to_int1(O2!5), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!6, $product(-1, to_int1(O!3))), 0) & $lesseq($sum(I!6, $product(-1, to_int1(O2!5))), 0)) | (~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$greatereq($sum(I!6, $product(-1, to_int1(A!2))), 0)))))) | (($greatereq(to_int1(L!7), 0) & (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))))) & ((~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))) & (((~(~(Result!9 = true1))) & ((~in_bounds1(2)) | ((~(~(to_int1(O3!10) = 2))) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | ((~(~($sum(to_int1(O4!11), $sum($product(-1, to_int1(U!8)), to_int1(L!7))) = 0))) & ((~(~(to_int1(O3!10) = 0))) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | ((~(~($sum(to_int1(O5!12), $product(-1, div1(to_int1(O4!11), to_int1(O3!10)))) = 0))) & ((~in_bounds1($sum(to_int1(O5!12), to_int1(L!7)))) | ((~(~($sum(to_int1(M!13), $sum($product(-1, to_int1(O5!12)), $product(-1, to_int1(L!7)))) = 0))) & ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))) & (((~(~(Result1!14 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!15) = 1))) & ((~in_bounds1($sum(to_int1(O6!15), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!16), $sum($product(-1, to_int1(O6!15)), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(L1!17 = O7!16))) & ((~$greatereq(to_int1(L1!17), 0)) | (~(~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!18, $product(-1, to_int1(L1!17))), 0) & $lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0)))))) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(L!7))), 0)) | (~(~$lesseq($sum(to_int1(L1!17), $product(-1, to_int1(L!7))), 0)))))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result2!19 = true1) <=> $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(V!0))), 0))) & (((~(~(Result2!19 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!20) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O6!20)), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!21), $sum(to_int1(O6!20), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(U1!22 = O7!21))) & ((~$greatereq(to_int1(L!7), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I!23, $product(-1, to_int1(U1!22))), 0)) | (~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0)))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(U!8))), 0)))))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0)))))))))))))))))) <=> (($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))) & ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)))))))))))))))))),
% 0.17/0.42 inference(monotonicity,[status(thm)],[64, 63])).
% 0.17/0.42 tff(66,plain,
% 0.17/0.42 ((($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))) & ((~in_bounds1(0)) | ((~(~(to_int1(O!3) = 0))) & ((~in_bounds1(1)) | ((~(~(to_int1(O1!4) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O1!4)), to_int1(A!2)))) | ((~(~($sum(to_int1(O2!5), $sum(to_int1(O1!4), $product(-1, to_int1(A!2)))) = 0))) & ((~$greatereq(to_int1(O!3), 0)) | (~(~$greatereq($sum(to_int1(O2!5), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!6, $product(-1, to_int1(O!3))), 0) & $lesseq($sum(I!6, $product(-1, to_int1(O2!5))), 0)) | (~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$greatereq($sum(I!6, $product(-1, to_int1(A!2))), 0)))))) | (($greatereq(to_int1(L!7), 0) & (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))))) & ((~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))) & (((~(~(Result!9 = true1))) & ((~in_bounds1(2)) | ((~(~(to_int1(O3!10) = 2))) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | ((~(~($sum(to_int1(O4!11), $sum($product(-1, to_int1(U!8)), to_int1(L!7))) = 0))) & ((~(~(to_int1(O3!10) = 0))) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | ((~(~($sum(to_int1(O5!12), $product(-1, div1(to_int1(O4!11), to_int1(O3!10)))) = 0))) & ((~in_bounds1($sum(to_int1(O5!12), to_int1(L!7)))) | ((~(~($sum(to_int1(M!13), $sum($product(-1, to_int1(O5!12)), $product(-1, to_int1(L!7)))) = 0))) & ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))) & (((~(~(Result1!14 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!15) = 1))) & ((~in_bounds1($sum(to_int1(O6!15), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!16), $sum($product(-1, to_int1(O6!15)), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(L1!17 = O7!16))) & ((~$greatereq(to_int1(L1!17), 0)) | (~(~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!18, $product(-1, to_int1(L1!17))), 0) & $lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)) | (~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0)))))) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(L!7))), 0)) | (~(~$lesseq($sum(to_int1(L1!17), $product(-1, to_int1(L!7))), 0)))))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | (~(~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0))) | ((~((Result2!19 = true1) <=> $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(V!0))), 0))) & (((~(~(Result2!19 = true1))) & ((~in_bounds1(1)) | ((~(~(to_int1(O6!20) = 1))) & ((~in_bounds1($sum($product(-1, to_int1(O6!20)), to_int1(M!13)))) | ((~(~($sum(to_int1(O7!21), $sum(to_int1(O6!20), $product(-1, to_int1(M!13)))) = 0))) & ((~(~(U1!22 = O7!21))) & ((~$greatereq(to_int1(L!7), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(A!2))), 0))) | (~(($greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I!23, $product(-1, to_int1(U1!22))), 0)) | (~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0)))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~(~$greatereq($sum(to_int1(U1!22), $product(-1, to_int1(U!8))), 0)))))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0)))))))))))))))))) <=> ($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) & ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)))))))))))))))))),
% 0.17/0.43 inference(transitivity,[status(thm)],[65, 62])).
% 0.17/0.43 tff(67,plain,
% 0.17/0.43 ((~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0)))))))))))))))))) <=> (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))))))))))))))),
% 0.17/0.43 inference(rewrite,[status(thm)],[])).
% 0.17/0.43 tff(68,plain,
% 0.17/0.43 ((~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$lesseq($sum(to_int1(A), $product(-1, I2)), 0)))) | $lesseq($sum(to_int1(get3(A1, I1)), $product(-1, to_int1(get3(A1, I2)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum($product(-1, to_int1(A)), to_int1(O1))) = 0)) | ($greatereq(to_int1(O), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(O2))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(O), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(L)), $product(-1, to_int1(O5)))) = 0)) | ($lesseq($sum(to_int1(L), $product(-1, to_int1(M))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), $product(-1, to_int1(O6)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L1), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$greatereq($sum(to_int1(L), $product(-1, to_int1(L1))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), to_int1(O6))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U1))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(U), $product(-1, to_int1(U1))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0)))))))))))))))))) <=> (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))))))))))))))),
% 0.17/0.43 inference(rewrite,[status(thm)],[])).
% 0.17/0.43 tff(69,plain,
% 0.17/0.43 ((~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))) <=> (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$lesseq($sum(to_int1(A), $product(-1, I2)), 0)))) | $lesseq($sum(to_int1(get3(A1, I1)), $product(-1, to_int1(get3(A1, I2)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum($product(-1, to_int1(A)), to_int1(O1))) = 0)) | ($greatereq(to_int1(O), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(O2))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(O), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(L)), $product(-1, to_int1(O5)))) = 0)) | ($lesseq($sum(to_int1(L), $product(-1, to_int1(M))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), $product(-1, to_int1(O6)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L1), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$greatereq($sum(to_int1(L), $product(-1, to_int1(L1))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), to_int1(O6))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U1))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(U), $product(-1, to_int1(U1))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))))))))))))))))),
% 0.17/0.44 inference(rewrite,[status(thm)],[])).
% 0.17/0.44 tff(70,plain,
% 0.17/0.44 ((~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))) <=> (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))))))))))))))),
% 0.17/0.44 inference(rewrite,[status(thm)],[])).
% 0.17/0.44 tff(71,plain,
% 0.17/0.44 ((~![A: int321, A1: map_int_int32, V: int321] : (($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((($lesseq(0, I1) & $lesseq(I1, I2)) & $less(I2, to_int1(A))) => $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2))))) => (in_bounds1(0) & ![O: int321] : ((to_int1(O) = 0) => (in_bounds1(1) & ![O1: int321] : ((to_int1(O1) = 1) => (in_bounds1($difference(to_int1(A), to_int1(O1))) & ![O2: int321] : ((to_int1(O2) = $difference(to_int1(A), to_int1(O1))) => ((($lesseq(0, to_int1(O)) & $less(to_int1(O2), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2)))))) & ![U: int321, L: int321] : ((($lesseq(0, to_int1(L)) & $less(to_int1(U), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U)))))) => ![Result: bool1] : (((Result = true1) <=> $lesseq(to_int1(L), to_int1(U))) => (((Result = true1) => (in_bounds1(2) & ![O3: int321] : ((to_int1(O3) = 2) => (in_bounds1($difference(to_int1(U), to_int1(L))) & ![O4: int321] : ((to_int1(O4) = $difference(to_int1(U), to_int1(L))) => (((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3)))) & ![O5: int321] : ((to_int1(O5) = div1(to_int1(O4), to_int1(O3))) => (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((to_int1(M) = $sum(to_int1(L), to_int1(O5))) => (((($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U))) & $lesseq(0, to_int1(M))) & $less(to_int1(M), to_int1(A))) & ![Result1: bool1] : (((Result1 = true1) <=> $less(to_int1(get3(A1, to_int1(M))), to_int1(V))) => (((Result1 = true1) => (in_bounds1(1) & ![O6: int321] : ((to_int1(O6) = 1) => (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((to_int1(O7) = $sum(to_int1(M), to_int1(O6))) => ![L1: int321] : ((L1 = O7) => (((($lesseq(0, to_int1(L1)) & $less(to_int1(U), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U)))))) & $lesseq(0, $difference(to_int1(U), to_int1(L)))) & $less($difference(to_int1(U), to_int1(L1)), $difference(to_int1(U), to_int1(L)))))))))) & ((~(Result1 = true1)) => (($lesseq(0, to_int1(M)) & $less(to_int1(M), to_int1(A))) & ![Result2: bool1] : (((Result2 = true1) <=> $less(to_int1(V), to_int1(get3(A1, to_int1(M))))) => (((Result2 = true1) => (in_bounds1(1) & ![O6: int321] : ((to_int1(O6) = 1) => (in_bounds1($difference(to_int1(M), to_int1(O6))) & ![O7: int321] : ((to_int1(O7) = $difference(to_int1(M), to_int1(O6))) => ![U1: int321] : ((U1 = O7) => (((($lesseq(0, to_int1(L)) & $less(to_int1(U1), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1)))))) & $lesseq(0, $difference(to_int1(U), to_int1(L)))) & $less($difference(to_int1(U1), to_int1(L)), $difference(to_int1(U), to_int1(L)))))))))) & ((~(Result2 = true1)) => (($lesseq(0, to_int1(M)) & $less(to_int1(M), to_int1(A))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((~(Result = true1)) => ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => (~(get3(A1, I) = V)))))))))))))))) <=> (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))))))))))))))),
% 0.17/0.45 inference(rewrite,[status(thm)],[])).
% 0.17/0.45 tff(72,axiom,(~![A: int321, A1: map_int_int32, V: int321] : (($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((($lesseq(0, I1) & $lesseq(I1, I2)) & $less(I2, to_int1(A))) => $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2))))) => (in_bounds1(0) & ![O: int321] : ((to_int1(O) = 0) => (in_bounds1(1) & ![O1: int321] : ((to_int1(O1) = 1) => (in_bounds1($difference(to_int1(A), to_int1(O1))) & ![O2: int321] : ((to_int1(O2) = $difference(to_int1(A), to_int1(O1))) => ((($lesseq(0, to_int1(O)) & $less(to_int1(O2), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2)))))) & ![U: int321, L: int321] : ((($lesseq(0, to_int1(L)) & $less(to_int1(U), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U)))))) => ![Result: bool1] : (((Result = true1) <=> $lesseq(to_int1(L), to_int1(U))) => (((Result = true1) => (in_bounds1(2) & ![O3: int321] : ((to_int1(O3) = 2) => (in_bounds1($difference(to_int1(U), to_int1(L))) & ![O4: int321] : ((to_int1(O4) = $difference(to_int1(U), to_int1(L))) => (((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3)))) & ![O5: int321] : ((to_int1(O5) = div1(to_int1(O4), to_int1(O3))) => (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((to_int1(M) = $sum(to_int1(L), to_int1(O5))) => (((($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U))) & $lesseq(0, to_int1(M))) & $less(to_int1(M), to_int1(A))) & ![Result1: bool1] : (((Result1 = true1) <=> $less(to_int1(get3(A1, to_int1(M))), to_int1(V))) => (((Result1 = true1) => (in_bounds1(1) & ![O6: int321] : ((to_int1(O6) = 1) => (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((to_int1(O7) = $sum(to_int1(M), to_int1(O6))) => ![L1: int321] : ((L1 = O7) => (((($lesseq(0, to_int1(L1)) & $less(to_int1(U), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U)))))) & $lesseq(0, $difference(to_int1(U), to_int1(L)))) & $less($difference(to_int1(U), to_int1(L1)), $difference(to_int1(U), to_int1(L)))))))))) & ((~(Result1 = true1)) => (($lesseq(0, to_int1(M)) & $less(to_int1(M), to_int1(A))) & ![Result2: bool1] : (((Result2 = true1) <=> $less(to_int1(V), to_int1(get3(A1, to_int1(M))))) => (((Result2 = true1) => (in_bounds1(1) & ![O6: int321] : ((to_int1(O6) = 1) => (in_bounds1($difference(to_int1(M), to_int1(O6))) & ![O7: int321] : ((to_int1(O7) = $difference(to_int1(M), to_int1(O6))) => ![U1: int321] : ((U1 = O7) => (((($lesseq(0, to_int1(L)) & $less(to_int1(U1), to_int1(A))) & ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => ((get3(A1, I) = V) => ($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1)))))) & $lesseq(0, $difference(to_int1(U), to_int1(L)))) & $less($difference(to_int1(U1), to_int1(L)), $difference(to_int1(U), to_int1(L)))))))))) & ((~(Result2 = true1)) => (($lesseq(0, to_int1(M)) & $less(to_int1(M), to_int1(A))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((~(Result = true1)) => ![I: $int] : (($lesseq(0, I) & $less(I, to_int1(A))) => (~(get3(A1, I) = V)))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','wP_parameter_binary_search')).
% 0.17/0.45 tff(73,plain,
% 0.17/0.45 (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))),
% 0.17/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.17/0.45 tff(74,plain,
% 0.17/0.45 (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))),
% 0.17/0.45 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.17/0.45 tff(75,plain,
% 0.17/0.45 (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))),
% 0.17/0.46 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.17/0.46 tff(76,plain,
% 0.17/0.46 (~![A: int321, A1: map_int_int32, V: int321] : ((~($lesseq(0, to_int1(A)) & ![I1: $int, I2: $int] : ((~($lesseq(0, I1) & $lesseq(I1, I2) & (~$lesseq(to_int1(A), I2)))) | $lesseq(to_int1(get3(A1, I1)), to_int1(get3(A1, I2)))))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~(to_int1(O2) = $sum(to_int1(A), $product(-1, to_int1(O1))))) | ($lesseq(0, to_int1(O)) & (~$lesseq(to_int1(A), to_int1(O2))) & ![I: $int] : (($lesseq(to_int1(O), I) & $lesseq(I, to_int1(O2))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & ![U: int321, L: int321] : ((~($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq(to_int1(L), to_int1(U))) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~(to_int1(O4) = $sum(to_int1(U), $product(-1, to_int1(L))))) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~(to_int1(O5) = div1(to_int1(O4), to_int1(O3)))) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~(to_int1(M) = $sum(to_int1(L), to_int1(O5)))) | ($lesseq(to_int1(L), to_int1(M)) & $lesseq(to_int1(M), to_int1(U)) & $lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq(to_int1(V), to_int1(get3(A1, to_int1(M))))) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), to_int1(O6)))) | ![L1: int321] : ((~(L1 = O7)) | ($lesseq(0, to_int1(L1)) & (~$lesseq(to_int1(A), to_int1(U))) & ![I: $int] : (($lesseq(to_int1(L1), I) & $lesseq(I, to_int1(U))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq($product(-1, to_int1(L)), $product(-1, to_int1(L1))))))))))) & ((Result1 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq(to_int1(get3(A1, to_int1(M))), to_int1(V))) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~(to_int1(O7) = $sum(to_int1(M), $product(-1, to_int1(O6))))) | ![U1: int321] : ((~(U1 = O7)) | ($lesseq(0, to_int1(L)) & (~$lesseq(to_int1(A), to_int1(U1))) & ![I: $int] : (($lesseq(to_int1(L), I) & $lesseq(I, to_int1(U1))) | (~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I))))) & $lesseq(0, $sum(to_int1(U), $product(-1, to_int1(L)))) & (~$lesseq(to_int1(U), to_int1(U1)))))))))) & ((Result2 = true1) | ($lesseq(0, to_int1(M)) & (~$lesseq(to_int1(A), to_int1(M))) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($lesseq(0, I) & (~$lesseq(to_int1(A), I)))))))))))))))))),
% 0.17/0.46 inference(modus_ponens,[status(thm)],[75, 70])).
% 0.17/0.46 tff(77,plain,
% 0.17/0.46 (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$lesseq($sum(to_int1(A), $product(-1, I2)), 0)))) | $lesseq($sum(to_int1(get3(A1, I1)), $product(-1, to_int1(get3(A1, I2)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum(to_int1(A), $product(-1, to_int1(O1)))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum($product(-1, to_int1(A)), to_int1(O1))) = 0)) | ($greatereq(to_int1(O), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(O2))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(O), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum(to_int1(U), $product(-1, to_int1(L)))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(L), to_int1(O5))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(L)), $product(-1, to_int1(O5)))) = 0)) | ($lesseq($sum(to_int1(L), $product(-1, to_int1(M))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), to_int1(O6))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), $product(-1, to_int1(O6)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L1), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$greatereq($sum(to_int1(L), $product(-1, to_int1(L1))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(M), $product(-1, to_int1(O6)))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(M)), to_int1(O6))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(U1))), 0)) & ![I: $int] : ((~(get3(A1, I) = V)) | ($lesseq($sum(to_int1(L), $product(-1, I)), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(U), $product(-1, to_int1(U1))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$lesseq($sum(to_int1(A), $product(-1, to_int1(M))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$lesseq($sum(to_int1(A), $product(-1, I)), 0)))))))))))))))))),
% 0.17/0.46 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.17/0.46 tff(78,plain,
% 0.17/0.46 (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0)))))))))))))))))),
% 0.17/0.46 inference(modus_ponens,[status(thm)],[77, 68])).
% 0.17/0.46 tff(79,plain,
% 0.17/0.46 (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0)))))))))))))))))),
% 0.17/0.46 inference(modus_ponens,[status(thm)],[78, 67])).
% 0.17/0.46 tff(80,plain,
% 0.17/0.46 (~![A: int321, A1: map_int_int32, V: int321] : ((~($greatereq(to_int1(A), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A))), 0)))) | $greatereq($sum(to_int1(get3(A1, I2)), $product(-1, to_int1(get3(A1, I1)))), 0)))) | (in_bounds1(0) & ![O: int321] : ((~(to_int1(O) = 0)) | (in_bounds1(1) & ![O1: int321] : ((~(to_int1(O1) = 1)) | (in_bounds1($sum($product(-1, to_int1(O1)), to_int1(A))) & ![O2: int321] : ((~($sum(to_int1(O2), $sum(to_int1(O1), $product(-1, to_int1(A)))) = 0)) | ($greatereq(to_int1(O), 0) & (~$greatereq($sum(to_int1(O2), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(O))), 0) & $lesseq($sum(I, $product(-1, to_int1(O2))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & ![U: int321, L: int321] : ((~($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))))) | ![Result: bool1] : (((~(Result = true1)) <=> $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0)) | (((~(Result = true1)) | (in_bounds1(2) & ![O3: int321] : ((~(to_int1(O3) = 2)) | (in_bounds1($sum($product(-1, to_int1(L)), to_int1(U))) & ![O4: int321] : ((~($sum(to_int1(O4), $sum($product(-1, to_int1(U)), to_int1(L))) = 0)) | ((~(to_int1(O3) = 0)) & in_bounds1(div1(to_int1(O4), to_int1(O3))) & ![O5: int321] : ((~($sum(to_int1(O5), $product(-1, div1(to_int1(O4), to_int1(O3)))) = 0)) | (in_bounds1($sum(to_int1(O5), to_int1(L))) & ![M: int321] : ((~($sum(to_int1(M), $sum($product(-1, to_int1(O5)), $product(-1, to_int1(L)))) = 0)) | ($greatereq($sum(to_int1(M), $product(-1, to_int1(L))), 0) & $lesseq($sum(to_int1(M), $product(-1, to_int1(U))), 0) & $greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result1: bool1] : (((Result1 = true1) <=> $lesseq($sum(to_int1(V), $product(-1, to_int1(get3(A1, to_int1(M))))), 0)) | (((~(Result1 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum(to_int1(O6), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum($product(-1, to_int1(O6)), $product(-1, to_int1(M)))) = 0)) | ![L1: int321] : ((~(L1 = O7)) | ($greatereq(to_int1(L1), 0) & (~$greatereq($sum(to_int1(U), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L1))), 0) & $lesseq($sum(I, $product(-1, to_int1(U))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $greatereq($sum(to_int1(U), $product(-1, to_int1(L))), 0) & (~$lesseq($sum(to_int1(L1), $product(-1, to_int1(L))), 0))))))))) & ((Result1 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & ![Result2: bool1] : (((Result2 = true1) <=> $lesseq($sum(to_int1(get3(A1, to_int1(M))), $product(-1, to_int1(V))), 0)) | (((~(Result2 = true1)) | (in_bounds1(1) & ![O6: int321] : ((~(to_int1(O6) = 1)) | (in_bounds1($sum($product(-1, to_int1(O6)), to_int1(M))) & ![O7: int321] : ((~($sum(to_int1(O7), $sum(to_int1(O6), $product(-1, to_int1(M)))) = 0)) | ![U1: int321] : ((~(U1 = O7)) | ($greatereq(to_int1(L), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(A))), 0)) & ![I: $int] : (($greatereq($sum(I, $product(-1, to_int1(L))), 0) & $lesseq($sum(I, $product(-1, to_int1(U1))), 0)) | (~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0))))) & $lesseq($sum(to_int1(L), $product(-1, to_int1(U))), 0) & (~$greatereq($sum(to_int1(U1), $product(-1, to_int1(U))), 0))))))))) & ((Result2 = true1) | ($greatereq(to_int1(M), 0) & (~$greatereq($sum(to_int1(M), $product(-1, to_int1(A))), 0)) & (get3(A1, to_int1(M)) = V))))))))))))))))))) & ((Result = true1) | ![I: $int] : ((~(get3(A1, I) = V)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A))), 0)))))))))))))))))),
% 0.17/0.47 inference(modus_ponens,[status(thm)],[79, 67])).
% 0.17/0.47 tff(81,plain,
% 0.17/0.47 ($greatereq(to_int1(A!2), 0) & ![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) & ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))))))))))))))))),
% 0.17/0.48 inference(modus_ponens,[status(thm)],[80, 66])).
% 0.17/0.48 tff(82,plain,
% 0.17/0.48 ((~in_bounds1(0)) | ((to_int1(O!3) = 0) & ((~in_bounds1(1)) | ((to_int1(O1!4) = 1) & ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0) & ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | (~($greatereq(I!6, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)))) | ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) & $greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | ($greatereq(to_int1(L!7), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) & ![I: $int] : ((~(get3(A1!1, I) = V!0)) | (~($greatereq(I, 0) & (~$greatereq($sum(I, $product(-1, to_int1(A!2))), 0)))) | ($greatereq($sum(I, $product(-1, to_int1(L!7))), 0) & $lesseq($sum(I, $product(-1, to_int1(U!8))), 0))) & ((Result!9 = true1) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) & (((Result!9 = true1) & ((~in_bounds1(2)) | ((to_int1(O3!10) = 2) & ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0) & ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0) & ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0) & ((~$greatereq(to_int1(M!13), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result1!14 = true1)) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result1!14 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!15) = 1) & ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0) & (L1!17 = O7!16) & ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~($greatereq(I!18, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)))) | ($lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0) & $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0))))))) | ((~(Result1!14 = true1)) & ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (((~(Result2!19 = true1)) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) & (((Result2!19 = true1) & ((~in_bounds1(1)) | ((to_int1(O6!20) = 1) & ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0) & (U1!22 = O7!21) & ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | (~((~(get3(A1!1, I!23) = V!0)) | (~($greatereq(I!23, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)))) | ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0) & $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~((Result2!19 = true1) | ($greatereq(to_int1(M!13), 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) & (get3(A1!1, to_int1(M!13)) = V!0)))))))))))))))))))) | ((~(Result!9 = true1)) & (~((~(get3(A1!1, I!24) = V!0)) | (~($greatereq(I!24, 0) & (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)))))))))))))))),
% 0.17/0.48 inference(and_elim,[status(thm)],[81])).
% 0.17/0.48 tff(83,plain,
% 0.17/0.48 ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))))))))))))))))))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[82, 61])).
% 0.17/0.49 tff(84,plain,
% 0.17/0.49 ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))))))))))))))))))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[83, 60])).
% 0.17/0.50 tff(85,plain,
% 0.17/0.50 ((~in_bounds1(0)) | (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))))))))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[84, 59])).
% 0.17/0.50 tff(86,plain,
% 0.17/0.50 (~((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))))))))),
% 0.17/0.50 inference(unit_resolution,[status(thm)],[85, 58])).
% 0.17/0.51 tff(87,plain,
% 0.17/0.51 (((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))))))) | ((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))))))),
% 0.17/0.51 inference(tautology,[status(thm)],[])).
% 0.17/0.51 tff(88,plain,
% 0.17/0.51 ((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))))),
% 0.17/0.52 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.17/0.52 tff(89,assumption,(~in_bounds1(1)), introduced(assumption)).
% 0.17/0.52 tff(90,plain,
% 0.17/0.52 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(1)) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(1))),
% 0.17/0.52 inference(rewrite,[status(thm)],[])).
% 0.17/0.52 tff(91,plain,
% 0.17/0.52 ((in_bounds1(1) <=> $true) <=> in_bounds1(1)),
% 0.17/0.52 inference(rewrite,[status(thm)],[])).
% 0.17/0.52 tff(92,plain,
% 0.17/0.52 ($lesseq(1, 2147483647) <=> $true),
% 0.17/0.52 inference(rewrite,[status(thm)],[])).
% 0.17/0.52 tff(93,plain,
% 0.17/0.52 ((~$lesseq(1, 2147483647)) <=> (~$true)),
% 0.17/0.52 inference(monotonicity,[status(thm)],[92])).
% 0.17/0.52 tff(94,plain,
% 0.17/0.52 ((~$lesseq(1, 2147483647)) <=> $false),
% 0.17/0.52 inference(transitivity,[status(thm)],[93, 40])).
% 0.17/0.52 tff(95,plain,
% 0.17/0.52 ($greatereq(1, -2147483648) <=> $true),
% 0.17/0.52 inference(rewrite,[status(thm)],[])).
% 0.17/0.52 tff(96,plain,
% 0.17/0.52 ((~$greatereq(1, -2147483648)) <=> (~$true)),
% 0.17/0.52 inference(monotonicity,[status(thm)],[95])).
% 0.17/0.52 tff(97,plain,
% 0.17/0.52 ((~$greatereq(1, -2147483648)) <=> $false),
% 0.17/0.52 inference(transitivity,[status(thm)],[96, 40])).
% 0.17/0.52 tff(98,plain,
% 0.17/0.52 (((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647))) <=> ($false | $false)),
% 0.17/0.52 inference(monotonicity,[status(thm)],[97, 94])).
% 0.17/0.52 tff(99,plain,
% 0.17/0.52 (((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647))) <=> $false),
% 0.17/0.52 inference(transitivity,[status(thm)],[98, 39])).
% 0.17/0.52 tff(100,plain,
% 0.17/0.52 ((~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647)))) <=> (~$false)),
% 0.17/0.52 inference(monotonicity,[status(thm)],[99])).
% 0.17/0.52 tff(101,plain,
% 0.17/0.52 ((~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647)))) <=> $true),
% 0.17/0.52 inference(transitivity,[status(thm)],[100, 38])).
% 0.17/0.52 tff(102,plain,
% 0.17/0.52 ((in_bounds1(1) <=> (~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647))))) <=> (in_bounds1(1) <=> $true)),
% 0.17/0.52 inference(monotonicity,[status(thm)],[101])).
% 0.17/0.52 tff(103,plain,
% 0.17/0.52 ((in_bounds1(1) <=> (~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647))))) <=> in_bounds1(1)),
% 0.17/0.52 inference(transitivity,[status(thm)],[102, 91])).
% 0.17/0.52 tff(104,plain,
% 0.17/0.52 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(1) <=> (~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(1))),
% 0.17/0.52 inference(monotonicity,[status(thm)],[103])).
% 0.17/0.52 tff(105,plain,
% 0.17/0.52 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(1) <=> (~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(1))),
% 0.17/0.52 inference(transitivity,[status(thm)],[104, 90])).
% 0.17/0.52 tff(106,plain,
% 0.17/0.52 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(1) <=> (~((~$greatereq(1, -2147483648)) | (~$lesseq(1, 2147483647)))))),
% 0.17/0.52 inference(quant_inst,[status(thm)],[])).
% 0.17/0.52 tff(107,plain,
% 0.17/0.52 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(1)),
% 0.17/0.52 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.17/0.52 tff(108,plain,
% 0.17/0.52 ($false),
% 0.17/0.52 inference(unit_resolution,[status(thm)],[107, 16, 89])).
% 0.17/0.52 tff(109,plain,(in_bounds1(1)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.52 tff(110,plain,
% 0.17/0.52 ((~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))))))) | (~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))))),
% 0.17/0.53 inference(tautology,[status(thm)],[])).
% 0.17/0.53 tff(111,plain,
% 0.17/0.53 (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))))),
% 0.17/0.53 inference(unit_resolution,[status(thm)],[110, 109, 88])).
% 0.17/0.53 tff(112,plain,
% 0.17/0.53 (((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))) | (to_int1(O1!4) = 1)),
% 0.17/0.54 inference(tautology,[status(thm)],[])).
% 0.17/0.54 tff(113,plain,
% 0.17/0.54 (to_int1(O1!4) = 1),
% 0.17/0.54 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.17/0.54 tff(114,plain,
% 0.17/0.54 ((~(to_int1(O1!4) = 1)) | $greatereq(to_int1(O1!4), 1)),
% 0.17/0.54 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.54 tff(115,plain,
% 0.17/0.54 ($greatereq(to_int1(O1!4), 1)),
% 0.17/0.54 inference(unit_resolution,[status(thm)],[114, 113])).
% 0.17/0.54 tff(116,plain,
% 0.17/0.54 (((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))) | ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))),
% 0.17/0.54 inference(tautology,[status(thm)],[])).
% 0.17/0.54 tff(117,plain,
% 0.17/0.54 ((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[116, 111])).
% 0.17/0.55 tff(118,assumption,(~(in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) <=> (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))))), introduced(assumption)).
% 0.17/0.55 tff(119,plain,
% 0.17/0.55 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) <=> (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))))),
% 0.17/0.55 inference(quant_inst,[status(thm)],[])).
% 0.17/0.55 tff(120,plain,
% 0.17/0.55 ($false),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[119, 16, 118])).
% 0.17/0.55 tff(121,plain,(in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) <=> (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647))))), inference(lemma,lemma(discharge,[]))).
% 0.17/0.55 tff(122,plain,
% 0.17/0.55 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(to_int1(A!2)) <=> (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647)))))),
% 0.17/0.55 inference(quant_inst,[status(thm)],[])).
% 0.17/0.55 tff(123,plain,
% 0.17/0.55 (in_bounds1(to_int1(A!2)) <=> (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647))))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[122, 16])).
% 0.17/0.55 tff(124,plain,
% 0.17/0.55 ((~![N: int321] : in_bounds1(to_int1(N))) | in_bounds1(to_int1(A!2))),
% 0.17/0.55 inference(quant_inst,[status(thm)],[])).
% 0.17/0.55 tff(125,plain,
% 0.17/0.55 (in_bounds1(to_int1(A!2))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[124, 25])).
% 0.17/0.55 tff(126,plain,
% 0.17/0.55 ((~(in_bounds1(to_int1(A!2)) <=> (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647)))))) | (~in_bounds1(to_int1(A!2))) | (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647))))),
% 0.17/0.55 inference(tautology,[status(thm)],[])).
% 0.17/0.55 tff(127,plain,
% 0.17/0.55 ((~(in_bounds1(to_int1(A!2)) <=> (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647)))))) | (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647))))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.17/0.55 tff(128,plain,
% 0.17/0.55 (~((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647)))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[127, 123])).
% 0.17/0.55 tff(129,plain,
% 0.17/0.55 (((~$greatereq(to_int1(A!2), -2147483648)) | (~$lesseq(to_int1(A!2), 2147483647))) | $lesseq(to_int1(A!2), 2147483647)),
% 0.17/0.55 inference(tautology,[status(thm)],[])).
% 0.17/0.55 tff(130,plain,
% 0.17/0.55 ($lesseq(to_int1(A!2), 2147483647)),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.17/0.55 tff(131,assumption,(~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)), introduced(assumption)).
% 0.17/0.55 tff(132,plain,
% 0.17/0.55 ($false),
% 0.17/0.55 inference(theory_lemma,[status(thm)],[131, 115, 130])).
% 0.17/0.55 tff(133,plain,($lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.55 tff(134,plain,
% 0.17/0.55 ($greatereq(to_int1(A!2), 0)),
% 0.17/0.55 inference(and_elim,[status(thm)],[81])).
% 0.17/0.55 tff(135,plain,
% 0.17/0.55 ((~(to_int1(O1!4) = 1)) | $lesseq(to_int1(O1!4), 1)),
% 0.17/0.55 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.55 tff(136,plain,
% 0.17/0.55 ($lesseq(to_int1(O1!4), 1)),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[135, 113])).
% 0.17/0.55 tff(137,assumption,(~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)), introduced(assumption)).
% 0.17/0.55 tff(138,plain,
% 0.17/0.55 ($false),
% 0.17/0.55 inference(theory_lemma,[status(thm)],[137, 136, 134])).
% 0.17/0.55 tff(139,plain,($greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.55 tff(140,plain,
% 0.17/0.55 ((~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))) | (~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647))),
% 0.17/0.55 inference(tautology,[status(thm)],[])).
% 0.17/0.55 tff(141,plain,
% 0.17/0.55 (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[140, 139, 133])).
% 0.17/0.55 tff(142,plain,
% 0.17/0.55 ((~(in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) <=> (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))))) | in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) | ((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))),
% 0.17/0.55 inference(tautology,[status(thm)],[])).
% 0.17/0.55 tff(143,plain,
% 0.17/0.55 ((~(in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4)))) <=> (~((~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), -2147483648)) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O1!4))), 2147483647)))))) | in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.17/0.55 tff(144,plain,
% 0.17/0.55 (in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))),
% 0.17/0.55 inference(unit_resolution,[status(thm)],[143, 121])).
% 0.17/0.55 tff(145,plain,
% 0.17/0.55 ((~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))))) | (~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))),
% 0.17/0.56 inference(tautology,[status(thm)],[])).
% 0.17/0.56 tff(146,plain,
% 0.17/0.56 (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))))),
% 0.17/0.56 inference(unit_resolution,[status(thm)],[145, 144, 117])).
% 0.17/0.56 tff(147,plain,
% 0.17/0.56 (((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))) | ($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)),
% 0.17/0.56 inference(tautology,[status(thm)],[])).
% 0.17/0.56 tff(148,plain,
% 0.17/0.56 ($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0),
% 0.17/0.56 inference(unit_resolution,[status(thm)],[147, 146])).
% 0.17/0.56 tff(149,plain,
% 0.17/0.56 ((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | $greatereq($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))), 0)),
% 0.17/0.56 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.56 tff(150,plain,
% 0.17/0.56 ($greatereq($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))), 0)),
% 0.17/0.56 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.17/0.56 tff(151,plain,
% 0.17/0.56 ((~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0)) | (~$greatereq(to_int1(O1!4), 1)) | (~$greatereq($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))), 0))),
% 0.17/0.56 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.56 tff(152,plain,
% 0.17/0.56 (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0)),
% 0.17/0.56 inference(unit_resolution,[status(thm)],[151, 150, 115])).
% 0.17/0.56 tff(153,plain,
% 0.17/0.56 (((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))) | ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))),
% 0.17/0.57 inference(tautology,[status(thm)],[])).
% 0.17/0.57 tff(154,plain,
% 0.17/0.57 ((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))),
% 0.17/0.57 inference(unit_resolution,[status(thm)],[153, 146])).
% 0.17/0.57 tff(155,plain,
% 0.17/0.57 (((~(to_int1(O!3) = 0)) | (~((~in_bounds1(1)) | (~((~(to_int1(O1!4) = 1)) | (~((~in_bounds1($sum(to_int1(A!2), $product(-1, to_int1(O1!4))))) | (~((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | (~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))))))))))))) | (to_int1(O!3) = 0)),
% 0.17/0.58 inference(tautology,[status(thm)],[])).
% 0.17/0.58 tff(156,plain,
% 0.17/0.58 (to_int1(O!3) = 0),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[155, 86])).
% 0.17/0.58 tff(157,assumption,(~$greatereq(to_int1(O!3), 0)), introduced(assumption)).
% 0.17/0.58 tff(158,assumption,(to_int1(O!3) = 0), introduced(assumption)).
% 0.17/0.58 tff(159,plain,
% 0.17/0.58 ((~(to_int1(O!3) = 0)) | $greatereq(to_int1(O!3), 0)),
% 0.17/0.58 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.58 tff(160,plain,
% 0.17/0.58 ($false),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[159, 158, 157])).
% 0.17/0.58 tff(161,plain,((~(to_int1(O!3) = 0)) | $greatereq(to_int1(O!3), 0)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.58 tff(162,plain,
% 0.17/0.58 ($greatereq(to_int1(O!3), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[161, 156])).
% 0.17/0.58 tff(163,assumption,(~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))), introduced(assumption)).
% 0.17/0.58 tff(164,plain,
% 0.17/0.58 (((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0))) | (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0))),
% 0.17/0.58 inference(tautology,[status(thm)],[])).
% 0.17/0.58 tff(165,plain,
% 0.17/0.58 (~$lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.17/0.58 tff(166,plain,
% 0.17/0.58 ((~($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))) = 0)) | $lesseq($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))), 0)),
% 0.17/0.58 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.58 tff(167,plain,
% 0.17/0.58 ($lesseq($sum(to_int1(A!2), $sum($product(-1, to_int1(O1!4)), $product(-1, to_int1(O2!5)))), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[166, 148])).
% 0.17/0.58 tff(168,plain,
% 0.17/0.58 (((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0))) | ((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))),
% 0.17/0.58 inference(tautology,[status(thm)],[])).
% 0.17/0.58 tff(169,plain,
% 0.17/0.58 ((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0))),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[168, 163])).
% 0.17/0.58 tff(170,plain,
% 0.17/0.58 ((~(to_int1(O!3) = 0)) | $lesseq(to_int1(O!3), 0)),
% 0.17/0.58 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.58 tff(171,plain,
% 0.17/0.58 ($lesseq(to_int1(O!3), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[170, 156])).
% 0.17/0.58 tff(172,plain,
% 0.17/0.58 (((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0))) | $greatereq(I!6, 0)),
% 0.17/0.58 inference(tautology,[status(thm)],[])).
% 0.17/0.58 tff(173,plain,
% 0.17/0.58 ($greatereq(I!6, 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[172, 163])).
% 0.17/0.58 tff(174,plain,
% 0.17/0.58 ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0) | (~$lesseq(to_int1(O!3), 0)) | (~$greatereq(I!6, 0))),
% 0.17/0.58 inference(theory_lemma,[status(thm)],[])).
% 0.17/0.58 tff(175,plain,
% 0.17/0.58 ($lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[174, 173, 171])).
% 0.17/0.58 tff(176,plain,
% 0.17/0.58 ((~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0))),
% 0.17/0.58 inference(tautology,[status(thm)],[])).
% 0.17/0.58 tff(177,plain,
% 0.17/0.58 (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)),
% 0.17/0.58 inference(unit_resolution,[status(thm)],[176, 175, 169])).
% 0.17/0.58 tff(178,plain,
% 0.17/0.58 ($false),
% 0.17/0.58 inference(theory_lemma,[status(thm)],[136, 177, 167, 165])).
% 0.17/0.58 tff(179,plain,((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0))), inference(lemma,lemma(discharge,[]))).
% 0.17/0.58 tff(180,plain,
% 0.17/0.58 ((~((~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))))) | (~$greatereq(to_int1(O!3), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(O2!5))), 0) | (~((~(get3(A1!1, I!6) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!6)), 0) | (~((~$lesseq($sum(to_int1(O!3), $product(-1, I!6)), 0)) | (~$greatereq($sum(to_int1(O2!5), $product(-1, I!6)), 0)))) | (~$greatereq(I!6, 0)))) | (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))))),
% 0.44/0.59 inference(tautology,[status(thm)],[])).
% 0.44/0.59 tff(181,plain,
% 0.44/0.59 (~(((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))))),
% 0.44/0.59 inference(unit_resolution,[status(thm)],[180, 179, 162, 154, 152])).
% 0.44/0.59 tff(182,plain,
% 0.44/0.59 ((((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))) | (~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)))),
% 0.44/0.60 inference(tautology,[status(thm)],[])).
% 0.44/0.60 tff(183,plain,
% 0.44/0.60 (~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[182, 181])).
% 0.44/0.60 tff(184,plain,
% 0.44/0.60 ((((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))) | ((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))),
% 0.46/0.60 inference(tautology,[status(thm)],[])).
% 0.46/0.60 tff(185,plain,
% 0.46/0.60 ((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))),
% 0.46/0.60 inference(unit_resolution,[status(thm)],[184, 181])).
% 0.46/0.60 tff(186,plain,
% 0.46/0.60 ((((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))) | ![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))),
% 0.46/0.61 inference(tautology,[status(thm)],[])).
% 0.46/0.61 tff(187,plain,
% 0.46/0.61 (![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[186, 181])).
% 0.46/0.61 tff(188,assumption,(![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))), introduced(assumption)).
% 0.46/0.61 tff(189,assumption,((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))), introduced(assumption)).
% 0.46/0.61 tff(190,assumption,(~((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))), introduced(assumption)).
% 0.46/0.61 tff(191,assumption,(~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)), introduced(assumption)).
% 0.46/0.61 tff(192,plain,
% 0.46/0.61 (((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~(Result!9 = true1)) | $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)),
% 0.46/0.61 inference(tautology,[status(thm)],[])).
% 0.46/0.61 tff(193,plain,
% 0.46/0.61 (~(Result!9 = true1)),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[192, 191, 190])).
% 0.46/0.61 tff(194,plain,
% 0.46/0.61 (((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))) | (Result!9 = true1)),
% 0.46/0.61 inference(tautology,[status(thm)],[])).
% 0.46/0.61 tff(195,plain,
% 0.46/0.61 ((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.46/0.61 tff(196,plain,
% 0.46/0.61 ((~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))))),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(197,plain,
% 0.46/0.62 (~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[196, 195, 189])).
% 0.46/0.62 tff(198,plain,
% 0.46/0.62 (((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)) | (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(199,plain,
% 0.46/0.62 (~$lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.46/0.62 tff(200,plain,
% 0.46/0.62 (((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)) | $greatereq(I!24, 0)),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(201,plain,
% 0.46/0.62 ($greatereq(I!24, 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[200, 197])).
% 0.46/0.62 tff(202,plain,
% 0.46/0.62 (((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)) | (get3(A1!1, I!24) = V!0)),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(203,plain,
% 0.46/0.62 (get3(A1!1, I!24) = V!0),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[202, 197])).
% 0.46/0.62 tff(204,plain,
% 0.46/0.62 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(205,plain,
% 0.46/0.62 (((~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))))) <=> ((~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(206,plain,
% 0.46/0.62 ((~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0)))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(207,plain,
% 0.46/0.62 ($greatereq($sum($product(-1, to_int1(A!2)), I!24), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(208,plain,
% 0.46/0.62 ($sum(I!24, $product(-1, to_int1(A!2))) = $sum($product(-1, to_int1(A!2)), I!24)),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(209,plain,
% 0.46/0.62 ($greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) <=> $greatereq($sum($product(-1, to_int1(A!2)), I!24), 0)),
% 0.46/0.62 inference(monotonicity,[status(thm)],[208])).
% 0.46/0.62 tff(210,plain,
% 0.46/0.62 ($greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(transitivity,[status(thm)],[209, 207])).
% 0.46/0.62 tff(211,plain,
% 0.46/0.62 (((~$greatereq(I!24, 0)) | $greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0))))) <=> ((~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))),
% 0.46/0.62 inference(monotonicity,[status(thm)],[210, 206])).
% 0.46/0.62 tff(212,plain,
% 0.46/0.62 (((~$greatereq(I!24, 0)) | $greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0))))) <=> ((~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))),
% 0.46/0.62 inference(transitivity,[status(thm)],[211, 205])).
% 0.46/0.62 tff(213,plain,
% 0.46/0.62 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!24, 0)) | $greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))))))),
% 0.46/0.62 inference(monotonicity,[status(thm)],[212])).
% 0.46/0.62 tff(214,plain,
% 0.46/0.62 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!24, 0)) | $greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))))),
% 0.46/0.62 inference(transitivity,[status(thm)],[213, 204])).
% 0.46/0.62 tff(215,plain,
% 0.46/0.62 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!24, 0)) | $greatereq($sum(I!24, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!24) = V!0)) | (~((~$greatereq($sum(I!24, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!24, $product(-1, to_int1(U!8))), 0)))))),
% 0.46/0.62 inference(quant_inst,[status(thm)],[])).
% 0.46/0.62 tff(216,plain,
% 0.46/0.62 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))))),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.46/0.62 tff(217,plain,
% 0.46/0.62 (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)))),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[216, 203, 201, 199, 188])).
% 0.46/0.62 tff(218,plain,
% 0.46/0.62 (((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))) | $greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(219,plain,
% 0.46/0.62 ($greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[218, 217])).
% 0.46/0.62 tff(220,plain,
% 0.46/0.62 (((~$lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!24)), 0))) | $lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(221,plain,
% 0.46/0.62 ($lesseq($sum(to_int1(L!7), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[220, 217])).
% 0.46/0.62 tff(222,plain,
% 0.46/0.62 ($false),
% 0.46/0.62 inference(theory_lemma,[status(thm)],[191, 221, 219])).
% 0.46/0.62 tff(223,plain,($lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | ((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.62 tff(224,plain,
% 0.46/0.62 ($lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[223, 187, 185, 183])).
% 0.46/0.62 tff(225,plain,
% 0.46/0.62 (((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (Result!9 = true1) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(226,plain,
% 0.46/0.62 (Result!9 = true1),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[225, 224, 183])).
% 0.46/0.62 tff(227,plain,
% 0.46/0.62 (((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)) | (~(Result!9 = true1))),
% 0.46/0.62 inference(tautology,[status(thm)],[])).
% 0.46/0.62 tff(228,plain,
% 0.46/0.62 ((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[227, 226])).
% 0.46/0.62 tff(229,plain,
% 0.46/0.62 (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[196, 228, 185])).
% 0.46/0.63 tff(230,plain,
% 0.46/0.63 (((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))))) | ((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(231,plain,
% 0.46/0.63 ((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))),
% 0.49/0.63 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.49/0.63 tff(232,assumption,(~in_bounds1(2)), introduced(assumption)).
% 0.49/0.63 tff(233,plain,
% 0.49/0.63 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(2)) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(2))),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(234,plain,
% 0.49/0.63 ((in_bounds1(2) <=> $true) <=> in_bounds1(2)),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(235,plain,
% 0.49/0.63 ($lesseq(2, 2147483647) <=> $true),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(236,plain,
% 0.49/0.63 ((~$lesseq(2, 2147483647)) <=> (~$true)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[235])).
% 0.49/0.63 tff(237,plain,
% 0.49/0.63 ((~$lesseq(2, 2147483647)) <=> $false),
% 0.49/0.63 inference(transitivity,[status(thm)],[236, 40])).
% 0.49/0.63 tff(238,plain,
% 0.49/0.63 ($greatereq(2, -2147483648) <=> $true),
% 0.49/0.63 inference(rewrite,[status(thm)],[])).
% 0.49/0.63 tff(239,plain,
% 0.49/0.63 ((~$greatereq(2, -2147483648)) <=> (~$true)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[238])).
% 0.49/0.63 tff(240,plain,
% 0.49/0.63 ((~$greatereq(2, -2147483648)) <=> $false),
% 0.49/0.63 inference(transitivity,[status(thm)],[239, 40])).
% 0.49/0.63 tff(241,plain,
% 0.49/0.63 (((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647))) <=> ($false | $false)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[240, 237])).
% 0.49/0.63 tff(242,plain,
% 0.49/0.63 (((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647))) <=> $false),
% 0.49/0.63 inference(transitivity,[status(thm)],[241, 39])).
% 0.49/0.63 tff(243,plain,
% 0.49/0.63 ((~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647)))) <=> (~$false)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[242])).
% 0.49/0.63 tff(244,plain,
% 0.49/0.63 ((~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647)))) <=> $true),
% 0.49/0.63 inference(transitivity,[status(thm)],[243, 38])).
% 0.49/0.63 tff(245,plain,
% 0.49/0.63 ((in_bounds1(2) <=> (~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647))))) <=> (in_bounds1(2) <=> $true)),
% 0.49/0.63 inference(monotonicity,[status(thm)],[244])).
% 0.49/0.63 tff(246,plain,
% 0.49/0.63 ((in_bounds1(2) <=> (~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647))))) <=> in_bounds1(2)),
% 0.49/0.63 inference(transitivity,[status(thm)],[245, 234])).
% 0.49/0.63 tff(247,plain,
% 0.49/0.63 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(2) <=> (~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(2))),
% 0.49/0.63 inference(monotonicity,[status(thm)],[246])).
% 0.49/0.63 tff(248,plain,
% 0.49/0.63 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(2) <=> (~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(2))),
% 0.49/0.63 inference(transitivity,[status(thm)],[247, 233])).
% 0.49/0.63 tff(249,plain,
% 0.49/0.63 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(2) <=> (~((~$greatereq(2, -2147483648)) | (~$lesseq(2, 2147483647)))))),
% 0.49/0.63 inference(quant_inst,[status(thm)],[])).
% 0.49/0.63 tff(250,plain,
% 0.49/0.63 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | in_bounds1(2)),
% 0.49/0.63 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.49/0.63 tff(251,plain,
% 0.49/0.63 ($false),
% 0.49/0.63 inference(unit_resolution,[status(thm)],[250, 16, 232])).
% 0.49/0.63 tff(252,plain,(in_bounds1(2)), inference(lemma,lemma(discharge,[]))).
% 0.49/0.63 tff(253,plain,
% 0.49/0.63 ((~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))) | (~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))),
% 0.49/0.63 inference(tautology,[status(thm)],[])).
% 0.49/0.63 tff(254,plain,
% 0.49/0.63 ((~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))))),
% 0.49/0.63 inference(unit_resolution,[status(thm)],[253, 252])).
% 0.49/0.63 tff(255,plain,
% 0.49/0.63 (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[254, 231])).
% 0.49/0.64 tff(256,plain,
% 0.49/0.64 (((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))) | ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(257,plain,
% 0.49/0.64 ((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[256, 255])).
% 0.49/0.64 tff(258,assumption,(~(in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))), introduced(assumption)).
% 0.49/0.64 tff(259,plain,
% 0.49/0.64 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))))))),
% 0.49/0.64 inference(rewrite,[status(thm)],[])).
% 0.49/0.64 tff(260,plain,
% 0.49/0.64 ((in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$greatereq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), -2147483648)) | (~$lesseq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), 2147483647))))) <=> (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))),
% 0.49/0.64 inference(rewrite,[status(thm)],[])).
% 0.49/0.64 tff(261,plain,
% 0.49/0.64 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$greatereq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), -2147483648)) | (~$lesseq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))))))),
% 0.49/0.64 inference(monotonicity,[status(thm)],[260])).
% 0.49/0.64 tff(262,plain,
% 0.49/0.64 (((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$greatereq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), -2147483648)) | (~$lesseq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), 2147483647)))))) <=> ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))))))),
% 0.49/0.64 inference(transitivity,[status(thm)],[261, 259])).
% 0.49/0.64 tff(263,plain,
% 0.49/0.64 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$greatereq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), -2147483648)) | (~$lesseq($sum($product(-1, to_int1(L!7)), to_int1(U!8)), 2147483647)))))),
% 0.49/0.64 inference(quant_inst,[status(thm)],[])).
% 0.49/0.64 tff(264,plain,
% 0.49/0.64 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))),
% 0.49/0.64 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.49/0.64 tff(265,plain,
% 0.49/0.64 ($false),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[264, 16, 258])).
% 0.49/0.64 tff(266,plain,(in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.64 tff(267,plain,
% 0.49/0.64 ($lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))),
% 0.49/0.64 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.64 tff(268,plain,
% 0.49/0.64 ($lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[267, 224])).
% 0.49/0.64 tff(269,plain,
% 0.49/0.64 ((((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))) | $greatereq(to_int1(L!7), 0)),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(270,plain,
% 0.49/0.64 ($greatereq(to_int1(L!7), 0)),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[269, 181])).
% 0.49/0.64 tff(271,assumption,(~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)), introduced(assumption)).
% 0.49/0.64 tff(272,plain,
% 0.49/0.64 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(to_int1(U!8)) <=> (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647)))))),
% 0.49/0.64 inference(quant_inst,[status(thm)],[])).
% 0.49/0.64 tff(273,plain,
% 0.49/0.64 (in_bounds1(to_int1(U!8)) <=> (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647))))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[272, 16])).
% 0.49/0.64 tff(274,plain,
% 0.49/0.64 ((~![N: int321] : in_bounds1(to_int1(N))) | in_bounds1(to_int1(U!8))),
% 0.49/0.64 inference(quant_inst,[status(thm)],[])).
% 0.49/0.64 tff(275,plain,
% 0.49/0.64 (in_bounds1(to_int1(U!8))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[274, 25])).
% 0.49/0.64 tff(276,plain,
% 0.49/0.64 ((~(in_bounds1(to_int1(U!8)) <=> (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647)))))) | (~in_bounds1(to_int1(U!8))) | (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647))))),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(277,plain,
% 0.49/0.64 ((~(in_bounds1(to_int1(U!8)) <=> (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647)))))) | (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647))))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[276, 275])).
% 0.49/0.64 tff(278,plain,
% 0.49/0.64 (~((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647)))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[277, 273])).
% 0.49/0.64 tff(279,plain,
% 0.49/0.64 (((~$greatereq(to_int1(U!8), -2147483648)) | (~$lesseq(to_int1(U!8), 2147483647))) | $lesseq(to_int1(U!8), 2147483647)),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(280,plain,
% 0.49/0.64 ($lesseq(to_int1(U!8), 2147483647)),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[279, 278])).
% 0.49/0.64 tff(281,plain,
% 0.49/0.64 ($false),
% 0.49/0.64 inference(theory_lemma,[status(thm)],[280, 271, 270])).
% 0.49/0.64 tff(282,plain,($greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)), inference(lemma,lemma(discharge,[]))).
% 0.49/0.64 tff(283,plain,
% 0.49/0.64 ((~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(284,plain,
% 0.49/0.64 (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[283, 282, 268])).
% 0.49/0.64 tff(285,plain,
% 0.49/0.64 ((~(in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))) | in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) | ((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))),
% 0.49/0.64 inference(tautology,[status(thm)],[])).
% 0.49/0.64 tff(286,plain,
% 0.49/0.64 ((~(in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 2147483648)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647)))))) | in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[285, 284])).
% 0.49/0.64 tff(287,plain,
% 0.49/0.64 (in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))),
% 0.49/0.64 inference(unit_resolution,[status(thm)],[286, 266])).
% 0.49/0.64 tff(288,plain,
% 0.49/0.64 ((~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))) | (~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))),
% 0.49/0.65 inference(tautology,[status(thm)],[])).
% 0.49/0.65 tff(289,plain,
% 0.49/0.65 (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[288, 287, 257])).
% 0.49/0.65 tff(290,plain,
% 0.49/0.65 (((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))) | ($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)),
% 0.49/0.65 inference(tautology,[status(thm)],[])).
% 0.49/0.65 tff(291,plain,
% 0.49/0.65 ($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[290, 289])).
% 0.49/0.65 tff(292,plain,
% 0.49/0.65 ((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | $greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)),
% 0.49/0.65 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.65 tff(293,plain,
% 0.49/0.65 ($greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[292, 291])).
% 0.49/0.65 tff(294,plain,
% 0.49/0.65 ($greatereq(to_int1(O4!11), 0) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0))),
% 0.49/0.65 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.65 tff(295,plain,
% 0.49/0.65 ($greatereq(to_int1(O4!11), 0)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[294, 293, 224])).
% 0.49/0.65 tff(296,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : refl(($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0))) <=> ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(297,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0))) <=> ![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[296])).
% 0.49/0.65 tff(298,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : trans(monotonicity(trans(monotonicity(rewrite(($greatereq(X, 0) & (~$lesseq(Y, 0))) <=> (~((~$greatereq(X, 0)) | $lesseq(Y, 0)))), ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) <=> (~(~((~$greatereq(X, 0)) | $lesseq(Y, 0)))))), rewrite((~(~((~$greatereq(X, 0)) | $lesseq(Y, 0)))) <=> ((~$greatereq(X, 0)) | $lesseq(Y, 0))), ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) <=> ((~$greatereq(X, 0)) | $lesseq(Y, 0)))), (((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0)) <=> (((~$greatereq(X, 0)) | $lesseq(Y, 0)) | $greatereq(div1(X, Y), 0)))), rewrite((((~$greatereq(X, 0)) | $lesseq(Y, 0)) | $greatereq(div1(X, Y), 0)) <=> ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))), (((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0)) <=> ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(299,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0)) <=> ![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[298])).
% 0.49/0.65 tff(300,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : rewrite(((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y))) <=> ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0)))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(301,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y))) <=> ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[300])).
% 0.49/0.65 tff(302,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(303,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : trans(monotonicity(rewrite(($lesseq(0, X) & $less(0, Y)) <=> ($lesseq(0, X) & (~$lesseq(Y, 0)))), ((($lesseq(0, X) & $less(0, Y)) => $lesseq(0, div1(X, Y))) <=> (($lesseq(0, X) & (~$lesseq(Y, 0))) => $lesseq(0, div1(X, Y))))), rewrite((($lesseq(0, X) & (~$lesseq(Y, 0))) => $lesseq(0, div1(X, Y))) <=> ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))), ((($lesseq(0, X) & $less(0, Y)) => $lesseq(0, div1(X, Y))) <=> ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(304,plain,
% 0.49/0.65 (![X: $int, Y: $int] : (($lesseq(0, X) & $less(0, Y)) => $lesseq(0, div1(X, Y))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[303])).
% 0.49/0.65 tff(305,axiom,(![X: $int, Y: $int] : (($lesseq(0, X) & $less(0, Y)) => $lesseq(0, div1(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','div_sign_pos')).
% 0.49/0.65 tff(306,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.49/0.65 tff(307,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | $lesseq(0, div1(X, Y)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[306, 302])).
% 0.49/0.65 tff(308,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[307, 301])).
% 0.49/0.65 tff(309,plain,(
% 0.49/0.65 ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | $greatereq(div1(X, Y), 0))),
% 0.49/0.65 inference(skolemize,[status(sab)],[308])).
% 0.49/0.65 tff(310,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[309, 299])).
% 0.49/0.65 tff(311,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[310, 297])).
% 0.49/0.65 tff(312,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(313,plain,
% 0.49/0.65 (($false | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(314,plain,
% 0.49/0.65 ($lesseq(2, 0) <=> $false),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(315,plain,
% 0.49/0.65 (($lesseq(2, 0) | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ($false | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.49/0.65 inference(monotonicity,[status(thm)],[314])).
% 0.49/0.65 tff(316,plain,
% 0.49/0.65 (($lesseq(2, 0) | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0))),
% 0.49/0.65 inference(transitivity,[status(thm)],[315, 313])).
% 0.49/0.65 tff(317,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0)))),
% 0.49/0.65 inference(monotonicity,[status(thm)],[316])).
% 0.49/0.65 tff(318,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0))),
% 0.49/0.65 inference(transitivity,[status(thm)],[317, 312])).
% 0.49/0.65 tff(319,plain,
% 0.49/0.65 ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | $greatereq(div1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(320,plain,
% 0.49/0.65 ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | $greatereq(div1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(div1(to_int1(O4!11), 2), 0)),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.49/0.65 tff(321,plain,
% 0.49/0.65 ($greatereq(div1(to_int1(O4!11), 2), 0)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[320, 311, 295])).
% 0.49/0.65 tff(322,plain,
% 0.49/0.65 ($greatereq(div1(to_int1(O4!11), 2), -2147483648) | (~$greatereq(div1(to_int1(O4!11), 2), 0))),
% 0.49/0.65 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.65 tff(323,plain,
% 0.49/0.65 ($greatereq(div1(to_int1(O4!11), 2), -2147483648)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[322, 321])).
% 0.49/0.65 tff(324,plain,
% 0.49/0.65 ((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | $lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)),
% 0.49/0.65 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.65 tff(325,plain,
% 0.49/0.65 ($lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[324, 291])).
% 0.49/0.65 tff(326,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : refl(($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0))) <=> ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(327,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0))) <=> ![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[326])).
% 0.49/0.65 tff(328,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : trans(monotonicity(trans(monotonicity(rewrite(($greatereq(X, 0) & (~$lesseq(Y, 0))) <=> (~((~$greatereq(X, 0)) | $lesseq(Y, 0)))), ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) <=> (~(~((~$greatereq(X, 0)) | $lesseq(Y, 0)))))), rewrite((~(~((~$greatereq(X, 0)) | $lesseq(Y, 0)))) <=> ((~$greatereq(X, 0)) | $lesseq(Y, 0))), ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) <=> ((~$greatereq(X, 0)) | $lesseq(Y, 0)))), rewrite(($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0)) <=> (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0))))), (((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0))) <=> (((~$greatereq(X, 0)) | $lesseq(Y, 0)) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0))))))), rewrite((((~$greatereq(X, 0)) | $lesseq(Y, 0)) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0))))) <=> ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))), (((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0))) <=> ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(329,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0))) <=> ![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[328])).
% 0.49/0.65 tff(330,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : rewrite(((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $lesseq($sum(div1(X, Y), $product(-1, X)), 0))) <=> ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(331,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $lesseq($sum(div1(X, Y), $product(-1, X)), 0))) <=> ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[330])).
% 0.49/0.65 tff(332,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : rewrite(((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $lesseq($sum(div1(X, Y), $product(-1, X)), 0))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(333,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $lesseq($sum(div1(X, Y), $product(-1, X)), 0)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[332])).
% 0.49/0.65 tff(334,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(335,plain,
% 0.49/0.65 (^[X: $int, Y: $int] : trans(monotonicity(rewrite(($lesseq(0, X) & $less(0, Y)) <=> ($lesseq(0, X) & (~$lesseq(Y, 0)))), ((($lesseq(0, X) & $less(0, Y)) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> (($lesseq(0, X) & (~$lesseq(Y, 0))) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))))), rewrite((($lesseq(0, X) & (~$lesseq(Y, 0))) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))), ((($lesseq(0, X) & $less(0, Y)) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(336,plain,
% 0.49/0.65 (![X: $int, Y: $int] : (($lesseq(0, X) & $less(0, Y)) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[335])).
% 0.49/0.65 tff(337,axiom,(![X: $int, Y: $int] : (($lesseq(0, X) & $less(0, Y)) => ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','div_bound')).
% 0.49/0.65 tff(338,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.49/0.65 tff(339,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~$lesseq(Y, 0)))) | ($lesseq(0, div1(X, Y)) & $lesseq(div1(X, Y), X)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[338, 334])).
% 0.49/0.65 tff(340,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $lesseq($sum(div1(X, Y), $product(-1, X)), 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[339, 333])).
% 0.49/0.65 tff(341,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[340, 331])).
% 0.49/0.65 tff(342,plain,(
% 0.49/0.65 ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~$lesseq(Y, 0)))) | ($greatereq(div1(X, Y), 0) & $greatereq($sum(X, $product(-1, div1(X, Y))), 0)))),
% 0.49/0.65 inference(skolemize,[status(sab)],[341])).
% 0.49/0.65 tff(343,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[342, 329])).
% 0.49/0.65 tff(344,plain,
% 0.49/0.65 (![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[343, 327])).
% 0.49/0.65 tff(345,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(346,plain,
% 0.49/0.65 (($false | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(347,plain,
% 0.49/0.65 (($lesseq(2, 0) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0))) <=> ($false | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.49/0.65 inference(monotonicity,[status(thm)],[314])).
% 0.49/0.65 tff(348,plain,
% 0.49/0.65 (($lesseq(2, 0) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))))),
% 0.49/0.65 inference(transitivity,[status(thm)],[347, 346])).
% 0.49/0.65 tff(349,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0))))))),
% 0.49/0.65 inference(monotonicity,[status(thm)],[348])).
% 0.49/0.65 tff(350,plain,
% 0.49/0.65 (((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))))),
% 0.49/0.65 inference(transitivity,[status(thm)],[349, 345])).
% 0.49/0.65 tff(351,plain,
% 0.49/0.65 ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | ($lesseq(2, 0) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(352,plain,
% 0.49/0.65 ((~![X: $int, Y: $int] : ($lesseq(Y, 0) | (~((~$greatereq(div1(X, Y), 0)) | (~$greatereq($sum(X, $product(-1, div1(X, Y))), 0)))) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0))))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.49/0.65 tff(353,plain,
% 0.49/0.65 (~((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)))),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[352, 344, 295])).
% 0.49/0.65 tff(354,plain,
% 0.49/0.65 (((~$greatereq(div1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0))) | $greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.65 inference(tautology,[status(thm)],[])).
% 0.49/0.65 tff(355,plain,
% 0.49/0.65 ($greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[354, 353])).
% 0.49/0.65 tff(356,plain,
% 0.49/0.65 ($lesseq(div1(to_int1(O4!11), 2), 2147483647) | (~$greatereq($sum(to_int1(O4!11), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), -2147483647))),
% 0.49/0.65 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.65 tff(357,plain,
% 0.49/0.65 ($lesseq(div1(to_int1(O4!11), 2), 2147483647)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[356, 355, 282, 325])).
% 0.49/0.65 tff(358,plain,
% 0.49/0.65 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(div1(to_int1(O4!11), 2)) <=> (~((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647)))))),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(359,plain,
% 0.49/0.65 (in_bounds1(div1(to_int1(O4!11), 2)) <=> (~((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647))))),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[358, 16])).
% 0.49/0.65 tff(360,plain,
% 0.49/0.65 (((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))))))) | (to_int1(O3!10) = 2)),
% 0.49/0.65 inference(tautology,[status(thm)],[])).
% 0.49/0.65 tff(361,plain,
% 0.49/0.65 (to_int1(O3!10) = 2),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[360, 255])).
% 0.49/0.65 tff(362,plain,
% 0.49/0.65 (div1(to_int1(O4!11), to_int1(O3!10)) = div1(to_int1(O4!11), 2)),
% 0.49/0.65 inference(monotonicity,[status(thm)],[361])).
% 0.49/0.66 tff(363,plain,
% 0.49/0.66 (div1(to_int1(O4!11), 2) = div1(to_int1(O4!11), to_int1(O3!10))),
% 0.49/0.66 inference(symmetry,[status(thm)],[362])).
% 0.49/0.66 tff(364,plain,
% 0.49/0.66 (in_bounds1(div1(to_int1(O4!11), 2)) <=> in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))),
% 0.49/0.66 inference(monotonicity,[status(thm)],[363])).
% 0.49/0.66 tff(365,plain,
% 0.49/0.66 (in_bounds1(div1(to_int1(O4!11), to_int1(O3!10))) <=> in_bounds1(div1(to_int1(O4!11), 2))),
% 0.49/0.66 inference(symmetry,[status(thm)],[364])).
% 0.49/0.66 tff(366,plain,
% 0.49/0.66 ((~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) <=> (~in_bounds1(div1(to_int1(O4!11), 2)))),
% 0.49/0.66 inference(monotonicity,[status(thm)],[365])).
% 0.49/0.66 tff(367,assumption,(~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))), introduced(assumption)).
% 0.49/0.66 tff(368,plain,
% 0.49/0.66 (~in_bounds1(div1(to_int1(O4!11), 2))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.49/0.66 tff(369,plain,
% 0.49/0.66 ((~(in_bounds1(div1(to_int1(O4!11), 2)) <=> (~((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647)))))) | in_bounds1(div1(to_int1(O4!11), 2)) | ((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647)))),
% 0.49/0.66 inference(tautology,[status(thm)],[])).
% 0.49/0.66 tff(370,plain,
% 0.49/0.66 ((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647))),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[369, 368, 359])).
% 0.49/0.66 tff(371,plain,
% 0.49/0.66 ((~((~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647)))) | (~$greatereq(div1(to_int1(O4!11), 2), -2147483648)) | (~$lesseq(div1(to_int1(O4!11), 2), 2147483647))),
% 0.49/0.66 inference(tautology,[status(thm)],[])).
% 0.49/0.66 tff(372,plain,
% 0.49/0.66 ($false),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[371, 370, 357, 323])).
% 0.49/0.66 tff(373,plain,(in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.66 tff(374,plain,
% 0.49/0.66 (((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))))) | ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))),
% 0.49/0.66 inference(tautology,[status(thm)],[])).
% 0.49/0.66 tff(375,plain,
% 0.49/0.66 ((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[374, 289])).
% 0.49/0.66 tff(376,plain,
% 0.49/0.66 ((2 = 0) <=> $false),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(377,assumption,(to_int1(O3!10) = 0), introduced(assumption)).
% 0.49/0.66 tff(378,plain,
% 0.49/0.66 (2 = to_int1(O3!10)),
% 0.49/0.66 inference(symmetry,[status(thm)],[361])).
% 0.49/0.66 tff(379,plain,
% 0.49/0.66 (2 = 0),
% 0.49/0.66 inference(transitivity,[status(thm)],[378, 377])).
% 0.49/0.66 tff(380,plain,
% 0.49/0.66 ($false),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[379, 376])).
% 0.49/0.66 tff(381,plain,(~(to_int1(O3!10) = 0)), inference(lemma,lemma(discharge,[]))).
% 0.49/0.66 tff(382,plain,
% 0.49/0.66 ((~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))) | (to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))))),
% 0.49/0.66 inference(tautology,[status(thm)],[])).
% 0.49/0.66 tff(383,plain,
% 0.49/0.66 (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[382, 381, 375, 373])).
% 0.49/0.66 tff(384,plain,
% 0.49/0.66 (((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))) | ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))),
% 0.49/0.66 inference(tautology,[status(thm)],[])).
% 0.49/0.66 tff(385,plain,
% 0.49/0.66 ((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[384, 383])).
% 0.49/0.67 tff(386,plain,
% 0.49/0.67 ((~(div1(to_int1(O4!11), to_int1(O3!10)) = div1(to_int1(O4!11), 2))) | $greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.67 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.67 tff(387,plain,
% 0.49/0.67 ($greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[386, 362])).
% 0.49/0.67 tff(388,plain,
% 0.49/0.67 ((((~(Result!9 = true1)) <=> $lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq(to_int1(L!7), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~((~((Result!9 = true1) | (~(get3(A1!1, I!24) = V!0)) | (~$greatereq(I!24, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!24)), 0))) | (~((~(Result!9 = true1)) | (~((~in_bounds1(2)) | (~((~(to_int1(O3!10) = 2)) | (~((~in_bounds1($sum($product(-1, to_int1(L!7)), to_int1(U!8)))) | (~((~($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))) = 0)) | (~((to_int1(O3!10) = 0) | (~in_bounds1(div1(to_int1(O4!11), to_int1(O3!10)))) | (~((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))))))))))))))))))) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))) | (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0))),
% 0.49/0.67 inference(tautology,[status(thm)],[])).
% 0.49/0.67 tff(389,plain,
% 0.49/0.67 (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[388, 181])).
% 0.49/0.67 tff(390,plain,
% 0.49/0.67 (((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | (~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))))) | ($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)),
% 0.49/0.67 inference(tautology,[status(thm)],[])).
% 0.49/0.67 tff(391,plain,
% 0.49/0.67 ($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[390, 383])).
% 0.49/0.67 tff(392,plain,
% 0.49/0.67 ((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | $lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)),
% 0.49/0.67 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.67 tff(393,plain,
% 0.49/0.67 ($lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[392, 391])).
% 0.49/0.67 tff(394,plain,
% 0.49/0.67 ((~(div1(to_int1(O4!11), to_int1(O3!10)) = div1(to_int1(O4!11), 2))) | $lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.67 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.67 tff(395,plain,
% 0.49/0.67 ($lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[394, 362])).
% 0.49/0.67 tff(396,plain,
% 0.49/0.67 ((~($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))) = 0)) | $greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)),
% 0.49/0.67 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.67 tff(397,plain,
% 0.49/0.67 ($greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[396, 391])).
% 0.49/0.67 tff(398,assumption,($greatereq(to_int1(L!7), 0)), introduced(assumption)).
% 0.49/0.67 tff(399,assumption,($greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)), introduced(assumption)).
% 0.49/0.67 tff(400,assumption,($lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)), introduced(assumption)).
% 0.49/0.67 tff(401,assumption,($greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)), introduced(assumption)).
% 0.49/0.67 tff(402,assumption,($lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)), introduced(assumption)).
% 0.49/0.67 tff(403,assumption,(~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))), introduced(assumption)).
% 0.49/0.67 tff(404,plain,
% 0.49/0.67 (((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))) | ($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)),
% 0.49/0.67 inference(tautology,[status(thm)],[])).
% 0.49/0.67 tff(405,plain,
% 0.49/0.67 ($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[404, 403])).
% 0.49/0.67 tff(406,plain,
% 0.49/0.67 ((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | $lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)),
% 0.49/0.67 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.67 tff(407,plain,
% 0.49/0.67 ($lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[406, 405])).
% 0.49/0.67 tff(408,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : refl(((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(409,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[408])).
% 0.49/0.67 tff(410,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : trans(monotonicity(rewrite(((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))) <=> (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))), (((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))))), rewrite(((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))), (((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(411,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[410])).
% 0.49/0.67 tff(412,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : rewrite(((Y = 0) | ((~$lesseq($sum(mod1(X, Y), abs1(Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(413,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(mod1(X, Y), abs1(Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))) <=> ![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[412])).
% 0.49/0.67 tff(414,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : rewrite(((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))) <=> ((Y = 0) | ((~$lesseq($sum(mod1(X, Y), abs1(Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(415,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))) <=> ![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(mod1(X, Y), abs1(Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[414])).
% 0.49/0.67 tff(416,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))) <=> ![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(417,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : trans(monotonicity(rewrite(($less($uminus(abs1(Y)), mod1(X, Y)) & $less(mod1(X, Y), abs1(Y))) <=> ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))), (((~(Y = 0)) => ($less($uminus(abs1(Y)), mod1(X, Y)) & $less(mod1(X, Y), abs1(Y)))) <=> ((~(Y = 0)) => ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))))), rewrite(((~(Y = 0)) => ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y))))) <=> ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))), (((~(Y = 0)) => ($less($uminus(abs1(Y)), mod1(X, Y)) & $less(mod1(X, Y), abs1(Y)))) <=> ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(418,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((~(Y = 0)) => ($less($uminus(abs1(Y)), mod1(X, Y)) & $less(mod1(X, Y), abs1(Y)))) <=> ![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[417])).
% 0.49/0.67 tff(419,axiom,(![X: $int, Y: $int] : ((~(Y = 0)) => ($less($uminus(abs1(Y)), mod1(X, Y)) & $less(mod1(X, Y), abs1(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mod_bound')).
% 0.49/0.67 tff(420,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[419, 418])).
% 0.49/0.67 tff(421,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq(mod1(X, Y), $product(-1, abs1(Y)))) & (~$lesseq(abs1(Y), mod1(X, Y)))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[420, 416])).
% 0.49/0.67 tff(422,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(mod1(X, Y), abs1(Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[421, 415])).
% 0.49/0.67 tff(423,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[422, 413])).
% 0.49/0.67 tff(424,plain,(
% 0.49/0.67 ![X: $int, Y: $int] : ((Y = 0) | ((~$lesseq($sum(abs1(Y), mod1(X, Y)), 0)) & (~$lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(skolemize,[status(sab)],[423])).
% 0.49/0.67 tff(425,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[424, 411])).
% 0.49/0.67 tff(426,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[425, 409])).
% 0.49/0.67 tff(427,plain,
% 0.49/0.67 (((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(428,plain,
% 0.49/0.67 (($false | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))) <=> (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(429,plain,
% 0.49/0.67 ((~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0))) <=> (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(430,plain,
% 0.49/0.67 (((2 = 0) | (~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0)))) <=> ($false | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))))),
% 0.49/0.67 inference(monotonicity,[status(thm)],[376, 429])).
% 0.49/0.67 tff(431,plain,
% 0.49/0.67 (((2 = 0) | (~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0)))) <=> (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))),
% 0.49/0.67 inference(transitivity,[status(thm)],[430, 428])).
% 0.49/0.67 tff(432,plain,
% 0.49/0.67 (((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | ((2 = 0) | (~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0))))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))))),
% 0.49/0.67 inference(monotonicity,[status(thm)],[431])).
% 0.49/0.67 tff(433,plain,
% 0.49/0.67 (((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | ((2 = 0) | (~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0))))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))))),
% 0.49/0.67 inference(transitivity,[status(thm)],[432, 427])).
% 0.49/0.67 tff(434,plain,
% 0.49/0.67 ((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | ((2 = 0) | (~($lesseq($sum(abs1(2), mod1(to_int1(O4!11), 2)), 0) | $lesseq($sum(abs1(2), $product(-1, mod1(to_int1(O4!11), 2))), 0))))),
% 0.49/0.67 inference(quant_inst,[status(thm)],[])).
% 0.49/0.67 tff(435,plain,
% 0.49/0.67 ((~![X: $int, Y: $int] : ((Y = 0) | (~($lesseq($sum(abs1(Y), mod1(X, Y)), 0) | $lesseq($sum(abs1(Y), $product(-1, mod1(X, Y))), 0))))) | (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[434, 433])).
% 0.49/0.67 tff(436,plain,
% 0.49/0.67 (~($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[435, 426])).
% 0.49/0.67 tff(437,plain,
% 0.49/0.67 (($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)) | (~$greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0))),
% 0.49/0.67 inference(tautology,[status(thm)],[])).
% 0.49/0.67 tff(438,plain,
% 0.49/0.67 (~$greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[437, 436])).
% 0.49/0.67 tff(439,assumption,(~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)), introduced(assumption)).
% 0.49/0.67 tff(440,assumption,($lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)), introduced(assumption)).
% 0.49/0.67 tff(441,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : refl(((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0)) <=> ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0)))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(442,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0)) <=> ![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[441])).
% 0.49/0.67 tff(443,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : rewrite(((Y = 0) | ($sum(X, $sum($product(-1, $product(div1(X, Y), Y)), $product(-1, mod1(X, Y)))) = 0)) <=> ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0)))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(444,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, $product(div1(X, Y), Y)), $product(-1, mod1(X, Y)))) = 0)) <=> ![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[443])).
% 0.49/0.67 tff(445,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : rewrite(((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))) <=> ((Y = 0) | ($sum(X, $sum($product(-1, $product(div1(X, Y), Y)), $product(-1, mod1(X, Y)))) = 0)))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(446,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))) <=> ![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, $product(div1(X, Y), Y)), $product(-1, mod1(X, Y)))) = 0))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[445])).
% 0.49/0.67 tff(447,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))) <=> ![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(448,plain,
% 0.49/0.67 (^[X: $int, Y: $int] : trans(monotonicity(rewrite((X = $sum($product(Y, div1(X, Y)), mod1(X, Y))) <=> (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))), (((~(Y = 0)) => (X = $sum($product(Y, div1(X, Y)), mod1(X, Y)))) <=> ((~(Y = 0)) => (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))))), rewrite(((~(Y = 0)) => (X = $sum($product(div1(X, Y), Y), mod1(X, Y)))) <=> ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))), (((~(Y = 0)) => (X = $sum($product(Y, div1(X, Y)), mod1(X, Y)))) <=> ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(449,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((~(Y = 0)) => (X = $sum($product(Y, div1(X, Y)), mod1(X, Y)))) <=> ![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[448])).
% 0.49/0.67 tff(450,axiom,(![X: $int, Y: $int] : ((~(Y = 0)) => (X = $sum($product(Y, div1(X, Y)), mod1(X, Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','div_mod')).
% 0.49/0.67 tff(451,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[450, 449])).
% 0.49/0.67 tff(452,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | (X = $sum($product(div1(X, Y), Y), mod1(X, Y))))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[451, 447])).
% 0.49/0.67 tff(453,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, $product(div1(X, Y), Y)), $product(-1, mod1(X, Y)))) = 0))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[452, 446])).
% 0.49/0.67 tff(454,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[453, 444])).
% 0.49/0.67 tff(455,plain,(
% 0.49/0.67 ![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))),
% 0.49/0.67 inference(skolemize,[status(sab)],[454])).
% 0.49/0.67 tff(456,plain,
% 0.49/0.67 (![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[455, 442])).
% 0.49/0.67 tff(457,plain,
% 0.49/0.67 (((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)) <=> ((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(458,plain,
% 0.49/0.67 (($false | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)) <=> ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(459,plain,
% 0.49/0.67 (($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0) <=> ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(460,plain,
% 0.49/0.68 (((2 = 0) | ($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0)) <=> ($false | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0))),
% 0.49/0.68 inference(monotonicity,[status(thm)],[376, 459])).
% 0.49/0.68 tff(461,plain,
% 0.49/0.68 (((2 = 0) | ($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0)) <=> ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)),
% 0.49/0.68 inference(transitivity,[status(thm)],[460, 458])).
% 0.49/0.68 tff(462,plain,
% 0.49/0.68 (((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ((2 = 0) | ($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0))),
% 0.49/0.68 inference(monotonicity,[status(thm)],[461])).
% 0.49/0.68 tff(463,plain,
% 0.49/0.68 (((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ((2 = 0) | ($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0))),
% 0.49/0.68 inference(transitivity,[status(thm)],[462, 457])).
% 0.49/0.68 tff(464,plain,
% 0.49/0.68 ((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ((2 = 0) | ($sum(to_int1(O4!11), $sum($product(-1, mod1(to_int1(O4!11), 2)), $product(-1, $product(2, div1(to_int1(O4!11), 2))))) = 0))),
% 0.49/0.68 inference(quant_inst,[status(thm)],[])).
% 0.49/0.68 tff(465,plain,
% 0.49/0.68 ((~![X: $int, Y: $int] : ((Y = 0) | ($sum(X, $sum($product(-1, mod1(X, Y)), $product(-1, $product(Y, div1(X, Y))))) = 0))) | ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.49/0.68 tff(466,plain,
% 0.49/0.68 ($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[465, 456])).
% 0.49/0.68 tff(467,plain,
% 0.49/0.68 ((~($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)) | $lesseq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(468,plain,
% 0.49/0.68 ($lesseq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[467, 466])).
% 0.49/0.68 tff(469,plain,
% 0.49/0.68 (^[X: $int] : refl((~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))))) <=> (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))))))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(470,plain,
% 0.49/0.68 (![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))))) <=> ![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))),
% 0.49/0.68 inference(quant_intro,[status(thm)],[469])).
% 0.49/0.68 tff(471,plain,
% 0.49/0.68 (^[X: $int] : rewrite((((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))) <=> (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))))))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(472,plain,
% 0.49/0.68 (![X: $int] : (((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))) <=> ![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))),
% 0.49/0.68 inference(quant_intro,[status(thm)],[471])).
% 0.49/0.68 tff(473,plain,
% 0.49/0.68 (^[X: $int] : rewrite((((~$greatereq(X, 0)) | ($sum(abs1(X), $product(-1, X)) = 0)) & ($greatereq(X, 0) | ($sum(abs1(X), X) = 0))) <=> (((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0))))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(474,plain,
% 0.49/0.68 (![X: $int] : (((~$greatereq(X, 0)) | ($sum(abs1(X), $product(-1, X)) = 0)) & ($greatereq(X, 0) | ($sum(abs1(X), X) = 0))) <=> ![X: $int] : (((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))),
% 0.49/0.68 inference(quant_intro,[status(thm)],[473])).
% 0.49/0.68 tff(475,plain,
% 0.49/0.68 (^[X: $int] : rewrite((((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X)))) <=> (((~$greatereq(X, 0)) | ($sum(abs1(X), $product(-1, X)) = 0)) & ($greatereq(X, 0) | ($sum(abs1(X), X) = 0))))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(476,plain,
% 0.49/0.68 (![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X)))) <=> ![X: $int] : (((~$greatereq(X, 0)) | ($sum(abs1(X), $product(-1, X)) = 0)) & ($greatereq(X, 0) | ($sum(abs1(X), X) = 0)))),
% 0.49/0.68 inference(quant_intro,[status(thm)],[475])).
% 0.49/0.68 tff(477,plain,
% 0.49/0.68 (![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X)))) <=> ![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X))))),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(478,plain,
% 0.49/0.68 (^[X: $int] : rewrite((($lesseq(0, X) => (abs1(X) = X)) & ((~$lesseq(0, X)) => (abs1(X) = $uminus(X)))) <=> (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X)))))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(479,plain,
% 0.49/0.68 (![X: $int] : (($lesseq(0, X) => (abs1(X) = X)) & ((~$lesseq(0, X)) => (abs1(X) = $uminus(X)))) <=> ![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X))))),
% 0.49/0.68 inference(quant_intro,[status(thm)],[478])).
% 0.49/0.68 tff(480,axiom,(![X: $int] : (($lesseq(0, X) => (abs1(X) = X)) & ((~$lesseq(0, X)) => (abs1(X) = $uminus(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','abs_def')).
% 0.49/0.68 tff(481,plain,
% 0.49/0.68 (![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X))))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[480, 479])).
% 0.49/0.68 tff(482,plain,
% 0.49/0.68 (![X: $int] : (((~$lesseq(0, X)) | (abs1(X) = X)) & ($lesseq(0, X) | (abs1(X) = $product(-1, X))))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[481, 477])).
% 0.49/0.68 tff(483,plain,
% 0.49/0.68 (![X: $int] : (((~$greatereq(X, 0)) | ($sum(abs1(X), $product(-1, X)) = 0)) & ($greatereq(X, 0) | ($sum(abs1(X), X) = 0)))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[482, 476])).
% 0.49/0.68 tff(484,plain,
% 0.49/0.68 (![X: $int] : (((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[483, 474])).
% 0.49/0.68 tff(485,plain,(
% 0.49/0.68 ![X: $int] : (((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0)) & ($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))),
% 0.49/0.68 inference(skolemize,[status(sab)],[484])).
% 0.49/0.68 tff(486,plain,
% 0.49/0.68 (![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[485, 472])).
% 0.49/0.68 tff(487,plain,
% 0.49/0.68 (![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[486, 470])).
% 0.49/0.68 tff(488,plain,
% 0.49/0.68 (((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (abs1(2) = 2)) <=> ((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (abs1(2) = 2))),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(489,plain,
% 0.49/0.68 ((~(~(abs1(2) = 2))) <=> (abs1(2) = 2)),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(490,plain,
% 0.49/0.68 (((~(abs1(2) = 2)) | $false) <=> (~(abs1(2) = 2))),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(491,plain,
% 0.49/0.68 (($true | (abs1(2) = -2)) <=> $true),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(492,plain,
% 0.49/0.68 (($sum(2, abs1(2)) = 0) <=> (abs1(2) = -2)),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(493,plain,
% 0.49/0.68 ($greatereq(2, 0) <=> $true),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(494,plain,
% 0.49/0.68 (($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)) <=> ($true | (abs1(2) = -2))),
% 0.49/0.68 inference(monotonicity,[status(thm)],[493, 492])).
% 0.49/0.68 tff(495,plain,
% 0.49/0.68 (($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)) <=> $true),
% 0.49/0.68 inference(transitivity,[status(thm)],[494, 491])).
% 0.49/0.68 tff(496,plain,
% 0.49/0.68 ((~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0))) <=> (~$true)),
% 0.49/0.68 inference(monotonicity,[status(thm)],[495])).
% 0.49/0.68 tff(497,plain,
% 0.49/0.68 ((~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0))) <=> $false),
% 0.49/0.68 inference(transitivity,[status(thm)],[496, 40])).
% 0.49/0.68 tff(498,plain,
% 0.49/0.68 ((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) <=> (~(abs1(2) = 2))),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(499,plain,
% 0.49/0.68 (((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)))) <=> ((~(abs1(2) = 2)) | $false)),
% 0.49/0.68 inference(monotonicity,[status(thm)],[498, 497])).
% 0.49/0.68 tff(500,plain,
% 0.49/0.68 (((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)))) <=> (~(abs1(2) = 2))),
% 0.49/0.68 inference(transitivity,[status(thm)],[499, 490])).
% 0.49/0.68 tff(501,plain,
% 0.49/0.68 ((~((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0))))) <=> (~(~(abs1(2) = 2)))),
% 0.49/0.68 inference(monotonicity,[status(thm)],[500])).
% 0.49/0.68 tff(502,plain,
% 0.49/0.68 ((~((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0))))) <=> (abs1(2) = 2)),
% 0.49/0.68 inference(transitivity,[status(thm)],[501, 489])).
% 0.49/0.68 tff(503,plain,
% 0.49/0.68 (((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (~((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)))))) <=> ((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (abs1(2) = 2))),
% 0.49/0.68 inference(monotonicity,[status(thm)],[502])).
% 0.49/0.68 tff(504,plain,
% 0.49/0.68 (((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (~((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)))))) <=> ((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (abs1(2) = 2))),
% 0.49/0.68 inference(transitivity,[status(thm)],[503, 488])).
% 0.49/0.68 tff(505,plain,
% 0.49/0.68 ((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (~((~((~$greatereq(2, 0)) | ($sum(2, $product(-1, abs1(2))) = 0))) | (~($greatereq(2, 0) | ($sum(2, abs1(2)) = 0)))))),
% 0.49/0.68 inference(quant_inst,[status(thm)],[])).
% 0.49/0.68 tff(506,plain,
% 0.49/0.68 ((~![X: $int] : (~((~((~$greatereq(X, 0)) | ($sum(X, $product(-1, abs1(X))) = 0))) | (~($greatereq(X, 0) | ($sum(X, abs1(X)) = 0)))))) | (abs1(2) = 2)),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[505, 504])).
% 0.49/0.68 tff(507,plain,
% 0.49/0.68 (abs1(2) = 2),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[506, 487])).
% 0.49/0.68 tff(508,plain,
% 0.49/0.68 ((~(abs1(2) = 2)) | $lesseq(abs1(2), 2)),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(509,plain,
% 0.49/0.68 ($lesseq(abs1(2), 2)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[508, 507])).
% 0.49/0.68 tff(510,plain,
% 0.49/0.68 ($false),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[509, 399, 402, 468, 401, 400, 440, 439, 438])).
% 0.49/0.68 tff(511,plain,($lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.68 tff(512,plain,
% 0.49/0.68 ($lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[511, 407, 402, 401, 400, 399])).
% 0.49/0.68 tff(513,plain,
% 0.49/0.68 ($greatereq(to_int1(M!13), 0) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0))),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(514,plain,
% 0.49/0.68 ($greatereq(to_int1(M!13), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[513, 512, 398])).
% 0.49/0.68 tff(515,assumption,(~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)), introduced(assumption)).
% 0.49/0.68 tff(516,assumption,($lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)), introduced(assumption)).
% 0.49/0.68 tff(517,assumption,($greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)), introduced(assumption)).
% 0.49/0.68 tff(518,assumption,($lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)), introduced(assumption)).
% 0.49/0.68 tff(519,plain,
% 0.49/0.68 ((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | $greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(520,plain,
% 0.49/0.68 ($greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[519, 405])).
% 0.49/0.68 tff(521,assumption,(~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)), introduced(assumption)).
% 0.49/0.68 tff(522,assumption,($greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)), introduced(assumption)).
% 0.49/0.68 tff(523,plain,
% 0.49/0.68 ((~($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))) = 0)) | $greatereq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(524,plain,
% 0.49/0.68 ($greatereq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[523, 466])).
% 0.49/0.68 tff(525,plain,
% 0.49/0.68 (($lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0) | $greatereq($sum(mod1(to_int1(O4!11), 2), $product(-1, abs1(2))), 0)) | (~$lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0))),
% 0.49/0.68 inference(tautology,[status(thm)],[])).
% 0.49/0.68 tff(526,plain,
% 0.49/0.68 (~$lesseq($sum(mod1(to_int1(O4!11), 2), abs1(2)), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[525, 436])).
% 0.49/0.68 tff(527,plain,
% 0.49/0.68 ($false),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[402, 509, 526, 524, 518, 517, 522, 521, 516])).
% 0.49/0.68 tff(528,plain,($greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.68 tff(529,plain,
% 0.49/0.68 ($greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[528, 520, 518, 517, 402, 516])).
% 0.49/0.68 tff(530,plain,
% 0.49/0.68 ((~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0))),
% 0.49/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.68 tff(531,plain,
% 0.49/0.68 (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[530, 529, 515])).
% 0.49/0.68 tff(532,plain,
% 0.49/0.68 (((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))) | ((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))),
% 0.49/0.68 inference(tautology,[status(thm)],[])).
% 0.49/0.68 tff(533,plain,
% 0.49/0.68 ((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[532, 403])).
% 0.49/0.68 tff(534,plain,
% 0.49/0.68 ((~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))) | (~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.68 inference(tautology,[status(thm)],[])).
% 0.49/0.68 tff(535,plain,
% 0.49/0.68 (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[534, 514, 531, 512, 529, 533])).
% 0.49/0.68 tff(536,plain,
% 0.49/0.68 ((((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))))))) | ((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(537,plain,
% 0.49/0.69 ((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[536, 535])).
% 0.49/0.69 tff(538,plain,
% 0.49/0.69 ((((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))))))) | (~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(539,plain,
% 0.49/0.69 (~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[538, 535])).
% 0.49/0.69 tff(540,assumption,(in_bounds1(1)), introduced(assumption)).
% 0.49/0.69 tff(541,plain,
% 0.49/0.69 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum(to_int1(M!13), to_int1(O6!15))) <=> (~((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))))),
% 0.49/0.69 inference(quant_inst,[status(thm)],[])).
% 0.49/0.69 tff(542,plain,
% 0.49/0.69 (in_bounds1($sum(to_int1(M!13), to_int1(O6!15))) <=> (~((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647))))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[541, 16])).
% 0.49/0.69 tff(543,assumption,(~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))), introduced(assumption)).
% 0.49/0.69 tff(544,plain,
% 0.49/0.69 (((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))))) | ((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(545,plain,
% 0.49/0.69 ((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[544, 543])).
% 0.49/0.69 tff(546,plain,
% 0.49/0.69 ((~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))) | (~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(547,plain,
% 0.49/0.69 (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[546, 545, 540])).
% 0.49/0.69 tff(548,plain,
% 0.49/0.69 (((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))) | ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(549,plain,
% 0.49/0.69 ((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[548, 547])).
% 0.49/0.69 tff(550,plain,
% 0.49/0.69 (((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))) | (to_int1(O6!15) = 1)),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(551,plain,
% 0.49/0.69 (to_int1(O6!15) = 1),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[550, 547])).
% 0.49/0.69 tff(552,plain,
% 0.49/0.69 ((~(to_int1(O6!15) = 1)) | $greatereq(to_int1(O6!15), 1)),
% 0.49/0.69 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.69 tff(553,plain,
% 0.49/0.69 ($greatereq(to_int1(O6!15), 1)),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[552, 551])).
% 0.49/0.69 tff(554,assumption,($lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)), introduced(assumption)).
% 0.49/0.69 tff(555,assumption,(~((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))), introduced(assumption)).
% 0.49/0.69 tff(556,plain,
% 0.49/0.69 (((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))))) | (Result1!14 = true1)),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(557,plain,
% 0.49/0.69 (Result1!14 = true1),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[556, 543])).
% 0.49/0.69 tff(558,plain,
% 0.49/0.69 (((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~(Result1!14 = true1)) | (~$lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(559,plain,
% 0.49/0.69 (~$lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[558, 557, 555])).
% 0.49/0.69 tff(560,assumption,(~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)), introduced(assumption)).
% 0.49/0.69 tff(561,plain,
% 0.49/0.69 ((~(to_int1(O6!15) = 1)) | $lesseq(to_int1(O6!15), 1)),
% 0.49/0.69 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.69 tff(562,plain,
% 0.49/0.69 ($lesseq(to_int1(O6!15), 1)),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[561, 551])).
% 0.49/0.69 tff(563,assumption,(~$lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)), introduced(assumption)).
% 0.49/0.69 tff(564,assumption,(~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))), introduced(assumption)).
% 0.49/0.69 tff(565,plain,
% 0.49/0.69 (((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))) | (L1!17 = O7!16)),
% 0.49/0.69 inference(tautology,[status(thm)],[])).
% 0.49/0.69 tff(566,plain,
% 0.49/0.69 (L1!17 = O7!16),
% 0.49/0.69 inference(unit_resolution,[status(thm)],[565, 564])).
% 0.49/0.69 tff(567,plain,
% 0.49/0.69 (to_int1(L1!17) = to_int1(O7!16)),
% 0.49/0.70 inference(monotonicity,[status(thm)],[566])).
% 0.49/0.70 tff(568,plain,
% 0.49/0.70 (to_int1(O7!16) = to_int1(L1!17)),
% 0.49/0.70 inference(symmetry,[status(thm)],[567])).
% 0.49/0.70 tff(569,plain,
% 0.49/0.70 ((~(to_int1(O7!16) = to_int1(L1!17))) | $lesseq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(570,plain,
% 0.49/0.70 ($lesseq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[569, 568])).
% 0.49/0.70 tff(571,assumption,($greatereq(to_int1(O6!15), 1)), introduced(assumption)).
% 0.49/0.70 tff(572,plain,
% 0.49/0.70 (((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))) | ($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(573,plain,
% 0.49/0.70 ($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[572, 564])).
% 0.49/0.70 tff(574,plain,
% 0.49/0.70 ((~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | $lesseq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(575,plain,
% 0.49/0.70 ($lesseq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[574, 573])).
% 0.49/0.70 tff(576,plain,
% 0.49/0.70 ((~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0)) | (~$lesseq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)) | (~$greatereq(to_int1(O6!15), 1)) | (~$lesseq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0))),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(577,plain,
% 0.49/0.70 (~$greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[576, 575, 554, 571, 570])).
% 0.49/0.70 tff(578,plain,
% 0.49/0.70 (((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))) | ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(579,plain,
% 0.49/0.70 ((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[578, 564])).
% 0.49/0.70 tff(580,plain,
% 0.49/0.70 ($greatereq(to_int1(L1!17), 0) | (~$lesseq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)) | (~$greatereq(to_int1(O6!15), 1)) | (~$lesseq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(to_int1(L!7), 0))),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(581,plain,
% 0.49/0.70 ($greatereq(to_int1(L1!17), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[580, 575, 398, 554, 571, 570])).
% 0.49/0.70 tff(582,plain,
% 0.49/0.70 ((~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))) | (~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(583,plain,
% 0.49/0.70 (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[582, 581, 515, 402, 579, 577])).
% 0.49/0.70 tff(584,plain,
% 0.49/0.70 (((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))) | (get3(A1!1, I!18) = V!0)),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(585,plain,
% 0.49/0.70 (get3(A1!1, I!18) = V!0),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[584, 583])).
% 0.49/0.70 tff(586,plain,
% 0.49/0.70 (to_int1(get3(A1!1, I!18)) = to_int1(V!0)),
% 0.49/0.70 inference(monotonicity,[status(thm)],[585])).
% 0.49/0.70 tff(587,plain,
% 0.49/0.70 (to_int1(V!0) = to_int1(get3(A1!1, I!18))),
% 0.49/0.70 inference(symmetry,[status(thm)],[586])).
% 0.49/0.70 tff(588,plain,
% 0.49/0.70 ((~(to_int1(V!0) = to_int1(get3(A1!1, I!18)))) | $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!18)))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(589,plain,
% 0.49/0.70 ($lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!18)))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[588, 587])).
% 0.49/0.70 tff(590,plain,
% 0.49/0.70 ((~$greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0)) | (~$lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!18)))), 0)) | $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(591,plain,
% 0.49/0.70 (~$greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[590, 589, 563])).
% 0.49/0.70 tff(592,plain,
% 0.49/0.70 (((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))) | ((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(593,plain,
% 0.49/0.70 ((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[592, 583])).
% 0.49/0.70 tff(594,plain,
% 0.49/0.70 (((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))) | (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0))),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(595,plain,
% 0.49/0.70 (~$lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[594, 583])).
% 0.49/0.70 tff(596,plain,
% 0.49/0.70 (((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))) | $greatereq(I!18, 0)),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(597,plain,
% 0.49/0.70 ($greatereq(I!18, 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[596, 583])).
% 0.49/0.70 tff(598,plain,
% 0.49/0.70 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(599,plain,
% 0.49/0.70 (((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))) <=> ((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(600,plain,
% 0.49/0.70 ((~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(601,plain,
% 0.49/0.70 ($greatereq($sum($product(-1, to_int1(A!2)), I!18), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(602,plain,
% 0.49/0.70 ($sum(I!18, $product(-1, to_int1(A!2))) = $sum($product(-1, to_int1(A!2)), I!18)),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(603,plain,
% 0.49/0.70 ($greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) <=> $greatereq($sum($product(-1, to_int1(A!2)), I!18), 0)),
% 0.49/0.70 inference(monotonicity,[status(thm)],[602])).
% 0.49/0.70 tff(604,plain,
% 0.49/0.70 ($greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(transitivity,[status(thm)],[603, 601])).
% 0.49/0.70 tff(605,plain,
% 0.49/0.70 (((~$greatereq(I!18, 0)) | $greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0))))) <=> ((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(monotonicity,[status(thm)],[604, 600])).
% 0.49/0.70 tff(606,plain,
% 0.49/0.70 (((~$greatereq(I!18, 0)) | $greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0))))) <=> ((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(transitivity,[status(thm)],[605, 599])).
% 0.49/0.70 tff(607,plain,
% 0.49/0.70 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!18, 0)) | $greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))),
% 0.49/0.70 inference(monotonicity,[status(thm)],[606])).
% 0.49/0.70 tff(608,plain,
% 0.49/0.70 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!18, 0)) | $greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))),
% 0.49/0.70 inference(transitivity,[status(thm)],[607, 598])).
% 0.49/0.70 tff(609,plain,
% 0.49/0.70 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!18, 0)) | $greatereq($sum(I!18, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!18) = V!0)) | (~((~$greatereq($sum(I!18, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!18, $product(-1, to_int1(U!8))), 0)))))),
% 0.49/0.70 inference(quant_inst,[status(thm)],[])).
% 0.49/0.70 tff(610,plain,
% 0.49/0.70 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))),
% 0.49/0.70 inference(modus_ponens,[status(thm)],[609, 608])).
% 0.49/0.70 tff(611,plain,
% 0.49/0.70 (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[610, 585, 597, 595, 188])).
% 0.49/0.70 tff(612,plain,
% 0.49/0.70 (((~$lesseq($sum(to_int1(L!7), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))) | $greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(613,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[612, 611])).
% 0.49/0.70 tff(614,plain,
% 0.49/0.70 ((~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))) | (~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))),
% 0.49/0.70 inference(tautology,[status(thm)],[])).
% 0.49/0.70 tff(615,plain,
% 0.49/0.70 (~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[614, 613, 593])).
% 0.49/0.70 tff(616,plain,
% 0.49/0.70 ((~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | $greatereq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(617,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[616, 573])).
% 0.49/0.70 tff(618,assumption,($lesseq(to_int1(O6!15), 1)), introduced(assumption)).
% 0.49/0.70 tff(619,plain,
% 0.49/0.70 ((~(to_int1(O7!16) = to_int1(L1!17))) | $greatereq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.70 tff(620,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[619, 568])).
% 0.49/0.70 tff(621,assumption,(~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)), introduced(assumption)).
% 0.49/0.70 tff(622,assumption,(~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)), introduced(assumption)).
% 0.49/0.70 tff(623,assumption,($greatereq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)), introduced(assumption)).
% 0.49/0.70 tff(624,assumption,($greatereq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)), introduced(assumption)).
% 0.49/0.70 tff(625,plain,
% 0.49/0.70 ($false),
% 0.49/0.70 inference(theory_lemma,[status(thm)],[624, 618, 623, 622, 621])).
% 0.49/0.70 tff(626,plain,($greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0) | (~$greatereq($sum(to_int1(O7!16), $product(-1, to_int1(L1!17))), 0)) | (~$lesseq(to_int1(O6!15), 1)) | (~$greatereq($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))), 0)) | $lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)), inference(lemma,lemma(discharge,[]))).
% 0.49/0.70 tff(627,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)),
% 0.49/0.70 inference(unit_resolution,[status(thm)],[626, 620, 618, 617, 615])).
% 0.49/0.70 tff(628,plain,
% 0.49/0.70 (^[I1: $int, I2: $int] : refl(($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0))) <=> ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0))))),
% 0.49/0.70 inference(bind,[status(th)],[])).
% 0.49/0.70 tff(629,plain,
% 0.49/0.70 (![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0))) <=> ![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))),
% 0.49/0.70 inference(quant_intro,[status(thm)],[628])).
% 0.49/0.70 tff(630,plain,
% 0.49/0.70 (^[I1: $int, I2: $int] : trans(monotonicity(trans(monotonicity(rewrite(($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0))) <=> (~((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))), ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) <=> (~(~((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))))), rewrite((~(~((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) <=> ((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0))), ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) <=> ((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))), (((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) <=> (((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)))), rewrite((((~$greatereq(I1, 0)) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | $greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) <=> ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))), (((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) <=> ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))))),
% 0.49/0.70 inference(bind,[status(th)],[])).
% 0.49/0.70 tff(631,plain,
% 0.49/0.70 (![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0)) <=> ![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))),
% 0.49/0.70 inference(quant_intro,[status(thm)],[630])).
% 0.49/0.70 tff(632,plain,
% 0.49/0.70 (![I1: $int, I2: $int] : ((~($greatereq(I1, 0) & $lesseq($sum(I1, $product(-1, I2)), 0) & (~$greatereq($sum(I2, $product(-1, to_int1(A!2))), 0)))) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0))),
% 0.49/0.70 inference(and_elim,[status(thm)],[81])).
% 0.49/0.70 tff(633,plain,
% 0.49/0.70 (![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))),
% 0.49/0.70 inference(modus_ponens,[status(thm)],[632, 631])).
% 0.49/0.70 tff(634,plain,
% 0.49/0.70 (![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))),
% 0.49/0.70 inference(modus_ponens,[status(thm)],[633, 629])).
% 0.49/0.70 tff(635,plain,
% 0.49/0.70 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(636,plain,
% 0.49/0.70 (($lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)) | (~$greatereq(I!18, 0))) <=> ((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(637,plain,
% 0.49/0.70 ((~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) <=> (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(638,plain,
% 0.49/0.70 ($greatereq($sum($product(-1, to_int1(A!2)), to_int1(M!13)), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(639,plain,
% 0.49/0.70 ($sum(to_int1(M!13), $product(-1, to_int1(A!2))) = $sum($product(-1, to_int1(A!2)), to_int1(M!13))),
% 0.49/0.70 inference(rewrite,[status(thm)],[])).
% 0.49/0.70 tff(640,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) <=> $greatereq($sum($product(-1, to_int1(A!2)), to_int1(M!13)), 0)),
% 0.49/0.70 inference(monotonicity,[status(thm)],[639])).
% 0.49/0.70 tff(641,plain,
% 0.49/0.70 ($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)),
% 0.49/0.70 inference(transitivity,[status(thm)],[640, 638])).
% 0.49/0.70 tff(642,plain,
% 0.49/0.70 (($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) | (~$greatereq(I!18, 0))) <=> ($lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)) | (~$greatereq(I!18, 0)))),
% 0.49/0.70 inference(monotonicity,[status(thm)],[641, 637])).
% 0.49/0.70 tff(643,plain,
% 0.49/0.70 (($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) | (~$greatereq(I!18, 0))) <=> ((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)))),
% 0.49/0.70 inference(transitivity,[status(thm)],[642, 636])).
% 0.49/0.70 tff(644,plain,
% 0.49/0.70 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) | (~$greatereq(I!18, 0)))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ((~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0))))),
% 0.49/0.70 inference(monotonicity,[status(thm)],[643])).
% 0.49/0.70 tff(645,plain,
% 0.49/0.70 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) | (~$greatereq(I!18, 0)))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0)))),
% 0.49/0.71 inference(transitivity,[status(thm)],[644, 635])).
% 0.49/0.71 tff(646,plain,
% 0.49/0.71 ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(to_int1(M!13), $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$lesseq($sum(I!18, $product(-1, to_int1(M!13))), 0)) | (~$greatereq(I!18, 0)))),
% 0.49/0.71 inference(quant_inst,[status(thm)],[])).
% 0.49/0.71 tff(647,plain,
% 0.49/0.71 ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | $greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0))),
% 0.49/0.71 inference(modus_ponens,[status(thm)],[646, 645])).
% 0.49/0.71 tff(648,plain,
% 0.49/0.71 ($greatereq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!18)))), 0) | (~$greatereq($sum(to_int1(M!13), $product(-1, I!18)), 0))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[647, 634, 597, 560])).
% 0.49/0.71 tff(649,plain,
% 0.49/0.71 ($false),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[648, 627, 591])).
% 0.49/0.71 tff(650,plain,(((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~$lesseq(to_int1(O6!15), 1)) | $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(to_int1(O6!15), 1)) | (~$greatereq(to_int1(L!7), 0))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.71 tff(651,plain,
% 0.49/0.71 ((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[650, 562, 560, 559, 188, 515, 402, 554, 553, 398])).
% 0.49/0.71 tff(652,plain,
% 0.49/0.71 ((~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))) | (~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(653,plain,
% 0.49/0.71 (~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[652, 651, 549])).
% 0.49/0.71 tff(654,plain,
% 0.49/0.71 ((~(in_bounds1($sum(to_int1(M!13), to_int1(O6!15))) <=> (~((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))))) | in_bounds1($sum(to_int1(M!13), to_int1(O6!15))) | ((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(655,plain,
% 0.49/0.71 ((~(in_bounds1($sum(to_int1(M!13), to_int1(O6!15))) <=> (~((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))))) | ((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[654, 653])).
% 0.49/0.71 tff(656,plain,
% 0.49/0.71 ((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[655, 542])).
% 0.49/0.71 tff(657,plain,
% 0.49/0.71 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1(to_int1(O5!12)) <=> (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647)))))),
% 0.49/0.71 inference(quant_inst,[status(thm)],[])).
% 0.49/0.71 tff(658,plain,
% 0.49/0.71 (in_bounds1(to_int1(O5!12)) <=> (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[657, 16])).
% 0.49/0.71 tff(659,plain,
% 0.49/0.71 ((~![N: int321] : in_bounds1(to_int1(N))) | in_bounds1(to_int1(O5!12))),
% 0.49/0.71 inference(quant_inst,[status(thm)],[])).
% 0.49/0.71 tff(660,plain,
% 0.49/0.71 (in_bounds1(to_int1(O5!12))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[659, 25])).
% 0.49/0.71 tff(661,plain,
% 0.49/0.71 ((~(in_bounds1(to_int1(O5!12)) <=> (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647)))))) | (~in_bounds1(to_int1(O5!12))) | (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647))))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(662,plain,
% 0.49/0.71 ((~(in_bounds1(to_int1(O5!12)) <=> (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647)))))) | (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[661, 660])).
% 0.49/0.71 tff(663,plain,
% 0.49/0.71 (~((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647)))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[662, 658])).
% 0.49/0.71 tff(664,plain,
% 0.49/0.71 (((~$greatereq(to_int1(O5!12), -2147483648)) | (~$lesseq(to_int1(O5!12), 2147483647))) | $greatereq(to_int1(O5!12), -2147483648)),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(665,plain,
% 0.49/0.71 ($greatereq(to_int1(O5!12), -2147483648)),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[664, 663])).
% 0.49/0.71 tff(666,assumption,(~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)), introduced(assumption)).
% 0.49/0.71 tff(667,plain,
% 0.49/0.71 ($false),
% 0.49/0.71 inference(theory_lemma,[status(thm)],[571, 666, 398, 440, 665])).
% 0.49/0.71 tff(668,plain,($greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648) | (~$greatereq(to_int1(O6!15), 1)) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.71 tff(669,plain,
% 0.49/0.71 ($greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[668, 553, 398, 440])).
% 0.49/0.71 tff(670,plain,
% 0.49/0.71 ((~((~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)))) | (~$greatereq($sum(to_int1(M!13), to_int1(O6!15)), -2147483648)) | (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(671,plain,
% 0.49/0.71 (~$lesseq($sum(to_int1(M!13), to_int1(O6!15)), 2147483647)),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[670, 669, 656])).
% 0.49/0.71 tff(672,plain,
% 0.49/0.71 ($false),
% 0.49/0.71 inference(theory_lemma,[status(thm)],[560, 562, 671, 130])).
% 0.49/0.71 tff(673,plain,(((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~in_bounds1(1)) | ((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.71 tff(674,plain,
% 0.49/0.71 ((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[673, 531, 398, 407, 188, 515, 402, 512, 540, 539])).
% 0.49/0.71 tff(675,plain,
% 0.49/0.71 ((~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))) | (~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(676,plain,
% 0.49/0.71 (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[675, 674, 537])).
% 0.49/0.71 tff(677,plain,
% 0.49/0.71 (((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))) | ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(678,plain,
% 0.49/0.71 ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[677, 676])).
% 0.49/0.71 tff(679,plain,
% 0.49/0.71 ((~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))) | (~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))),
% 0.49/0.71 inference(tautology,[status(thm)],[])).
% 0.49/0.71 tff(680,plain,
% 0.49/0.71 (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))),
% 0.49/0.71 inference(unit_resolution,[status(thm)],[679, 678, 531, 514])).
% 0.49/0.71 tff(681,plain,
% 0.49/0.71 (((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))) | ((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(682,plain,
% 0.49/0.72 ((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[681, 680])).
% 0.49/0.72 tff(683,plain,
% 0.49/0.72 (((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))) | (~((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(684,plain,
% 0.49/0.72 (~((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[683, 680])).
% 0.49/0.72 tff(685,plain,
% 0.49/0.72 ($greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)),
% 0.49/0.72 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.72 tff(686,plain,
% 0.49/0.72 ($greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[685, 515])).
% 0.49/0.72 tff(687,plain,
% 0.49/0.72 ((~![N: $int] : (in_bounds1(N) <=> (~((~$greatereq(N, -2147483648)) | (~$lesseq(N, 2147483647)))))) | (in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20)))) <=> (~((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))))),
% 0.49/0.72 inference(quant_inst,[status(thm)],[])).
% 0.49/0.72 tff(688,plain,
% 0.49/0.72 (in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20)))) <=> (~((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[687, 16])).
% 0.49/0.72 tff(689,assumption,(~((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))), introduced(assumption)).
% 0.49/0.72 tff(690,assumption,(~$greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)), introduced(assumption)).
% 0.49/0.72 tff(691,plain,
% 0.49/0.72 (((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (Result2!19 = true1) | $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(692,plain,
% 0.49/0.72 (Result2!19 = true1),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[691, 690, 689])).
% 0.49/0.72 tff(693,plain,
% 0.49/0.72 (((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))) | (~(Result2!19 = true1))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(694,plain,
% 0.49/0.72 ((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[693, 692])).
% 0.49/0.72 tff(695,plain,
% 0.49/0.72 ($greatereq(to_int1(M!13), 0)),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[513, 554, 398])).
% 0.49/0.72 tff(696,assumption,((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))))), introduced(assumption)).
% 0.49/0.72 tff(697,plain,
% 0.49/0.72 ($greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.49/0.72 inference(theory_lemma,[status(thm)],[])).
% 0.49/0.72 tff(698,plain,
% 0.49/0.72 ($lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[697, 690])).
% 0.49/0.72 tff(699,plain,
% 0.49/0.72 (~(Result1!14 = true1)),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[558, 698, 555])).
% 0.49/0.72 tff(700,plain,
% 0.49/0.72 ((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0))))))))))))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[556, 699])).
% 0.49/0.72 tff(701,plain,
% 0.49/0.72 (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[675, 700, 696])).
% 0.49/0.72 tff(702,plain,
% 0.49/0.72 ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[677, 701])).
% 0.49/0.72 tff(703,plain,
% 0.49/0.72 (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[679, 702, 560, 695])).
% 0.49/0.72 tff(704,plain,
% 0.49/0.72 ((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[681, 703])).
% 0.49/0.72 tff(705,plain,
% 0.49/0.72 ((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | (~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(706,plain,
% 0.49/0.72 (~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[705, 704, 694])).
% 0.49/0.72 tff(707,plain,
% 0.49/0.72 (((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))))))) | ((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(708,plain,
% 0.49/0.72 ((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))))),
% 0.49/0.72 inference(unit_resolution,[status(thm)],[707, 706])).
% 0.49/0.72 tff(709,plain,
% 0.49/0.72 ((~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))) | (~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))))),
% 0.49/0.72 inference(tautology,[status(thm)],[])).
% 0.49/0.72 tff(710,plain,
% 0.49/0.72 (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[709, 708, 540])).
% 0.59/0.73 tff(711,plain,
% 0.59/0.73 (((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))) | ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(712,plain,
% 0.59/0.73 ((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[711, 710])).
% 0.59/0.73 tff(713,plain,
% 0.59/0.73 (((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))) | (to_int1(O6!20) = 1)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(714,plain,
% 0.59/0.73 (to_int1(O6!20) = 1),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[713, 710])).
% 0.59/0.73 tff(715,plain,
% 0.59/0.73 ((~(to_int1(O6!20) = 1)) | $lesseq(to_int1(O6!20), 1)),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(716,plain,
% 0.59/0.73 ($lesseq(to_int1(O6!20), 1)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[715, 714])).
% 0.59/0.73 tff(717,assumption,($greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)), introduced(assumption)).
% 0.59/0.73 tff(718,plain,
% 0.59/0.73 ((~(to_int1(O6!20) = 1)) | $greatereq(to_int1(O6!20), 1)),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(719,plain,
% 0.59/0.73 ($greatereq(to_int1(O6!20), 1)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[718, 714])).
% 0.59/0.73 tff(720,assumption,(~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))), introduced(assumption)).
% 0.59/0.73 tff(721,plain,
% 0.59/0.73 (((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))) | ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(722,plain,
% 0.59/0.73 ((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[721, 720])).
% 0.59/0.73 tff(723,plain,
% 0.59/0.73 (((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))) | ($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(724,plain,
% 0.59/0.73 ($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[723, 720])).
% 0.59/0.73 tff(725,plain,
% 0.59/0.73 ((~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | $lesseq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(726,plain,
% 0.59/0.73 ($lesseq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[725, 724])).
% 0.59/0.73 tff(727,assumption,($lesseq(to_int1(O6!20), 1)), introduced(assumption)).
% 0.59/0.73 tff(728,plain,
% 0.59/0.73 (((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))) | (U1!22 = O7!21)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(729,plain,
% 0.59/0.73 (U1!22 = O7!21),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[728, 720])).
% 0.59/0.73 tff(730,plain,
% 0.59/0.73 (to_int1(U1!22) = to_int1(O7!21)),
% 0.59/0.73 inference(monotonicity,[status(thm)],[729])).
% 0.59/0.73 tff(731,plain,
% 0.59/0.73 (to_int1(O7!21) = to_int1(U1!22)),
% 0.59/0.73 inference(symmetry,[status(thm)],[730])).
% 0.59/0.73 tff(732,plain,
% 0.59/0.73 ((~(to_int1(O7!21) = to_int1(U1!22))) | $lesseq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(733,plain,
% 0.59/0.73 ($lesseq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[732, 731])).
% 0.59/0.73 tff(734,assumption,($lesseq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)), introduced(assumption)).
% 0.59/0.73 tff(735,assumption,($lesseq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)), introduced(assumption)).
% 0.59/0.73 tff(736,assumption,(~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))), introduced(assumption)).
% 0.59/0.73 tff(737,plain,
% 0.59/0.73 (((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))) | ((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(738,plain,
% 0.59/0.73 ((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0))),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[737, 736])).
% 0.59/0.73 tff(739,plain,
% 0.59/0.73 (((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))) | $greatereq(I!23, 0)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(740,plain,
% 0.59/0.73 ($greatereq(I!23, 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[739, 736])).
% 0.59/0.73 tff(741,plain,
% 0.59/0.73 (((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))) | (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0))),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(742,plain,
% 0.59/0.73 (~$lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[741, 736])).
% 0.59/0.73 tff(743,plain,
% 0.59/0.73 (((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))) | (get3(A1!1, I!23) = V!0)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(744,plain,
% 0.59/0.73 (get3(A1!1, I!23) = V!0),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[743, 736])).
% 0.59/0.73 tff(745,plain,
% 0.59/0.73 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(746,plain,
% 0.59/0.73 (((~$greatereq(I!23, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0))))) <=> ((~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(747,plain,
% 0.59/0.73 ((~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0)))) <=> (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0))))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(748,plain,
% 0.59/0.73 ($greatereq($sum($product(-1, to_int1(A!2)), I!23), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(749,plain,
% 0.59/0.73 ($sum(I!23, $product(-1, to_int1(A!2))) = $sum($product(-1, to_int1(A!2)), I!23)),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(750,plain,
% 0.59/0.73 ($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) <=> $greatereq($sum($product(-1, to_int1(A!2)), I!23), 0)),
% 0.59/0.73 inference(monotonicity,[status(thm)],[749])).
% 0.59/0.73 tff(751,plain,
% 0.59/0.73 ($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) <=> $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(transitivity,[status(thm)],[750, 748])).
% 0.59/0.73 tff(752,plain,
% 0.59/0.73 (((~$greatereq(I!23, 0)) | $greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0))))) <=> ((~$greatereq(I!23, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))),
% 0.59/0.73 inference(monotonicity,[status(thm)],[751, 747])).
% 0.59/0.73 tff(753,plain,
% 0.59/0.73 (((~$greatereq(I!23, 0)) | $greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0))))) <=> ((~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))),
% 0.59/0.73 inference(transitivity,[status(thm)],[752, 746])).
% 0.59/0.73 tff(754,plain,
% 0.59/0.73 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!23, 0)) | $greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0))))))),
% 0.59/0.73 inference(monotonicity,[status(thm)],[753])).
% 0.59/0.73 tff(755,plain,
% 0.59/0.73 (((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!23, 0)) | $greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0)))))) <=> ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))))),
% 0.59/0.73 inference(transitivity,[status(thm)],[754, 745])).
% 0.59/0.73 tff(756,plain,
% 0.59/0.73 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | ((~$greatereq(I!23, 0)) | $greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I!23) = V!0)) | (~((~$greatereq($sum(I!23, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I!23, $product(-1, to_int1(U!8))), 0)))))),
% 0.59/0.73 inference(quant_inst,[status(thm)],[])).
% 0.59/0.73 tff(757,plain,
% 0.59/0.73 ((~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~(get3(A1!1, I!23) = V!0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0))))),
% 0.59/0.73 inference(modus_ponens,[status(thm)],[756, 755])).
% 0.59/0.73 tff(758,plain,
% 0.59/0.73 (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0)))),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[757, 744, 742, 740, 188])).
% 0.59/0.73 tff(759,plain,
% 0.59/0.73 (((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!23)), 0))) | $lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(760,plain,
% 0.59/0.73 ($lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[759, 758])).
% 0.59/0.73 tff(761,plain,
% 0.59/0.73 ((~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | (~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0))),
% 0.59/0.73 inference(tautology,[status(thm)],[])).
% 0.59/0.73 tff(762,plain,
% 0.59/0.73 (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[761, 760, 738])).
% 0.59/0.73 tff(763,plain,
% 0.59/0.73 ($lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0) | $greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)) | (~$lesseq(to_int1(O6!20), 1)) | (~$lesseq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0))),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(764,plain,
% 0.59/0.73 ($lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[763, 762, 727, 735, 734])).
% 0.59/0.73 tff(765,plain,
% 0.59/0.73 (to_int1(get3(A1!1, I!23)) = to_int1(V!0)),
% 0.59/0.73 inference(monotonicity,[status(thm)],[744])).
% 0.59/0.73 tff(766,plain,
% 0.59/0.73 (to_int1(V!0) = to_int1(get3(A1!1, I!23))),
% 0.59/0.73 inference(symmetry,[status(thm)],[765])).
% 0.59/0.73 tff(767,plain,
% 0.59/0.73 ((~(to_int1(V!0) = to_int1(get3(A1!1, I!23)))) | $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.73 tff(768,plain,
% 0.59/0.73 ($greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[767, 766])).
% 0.59/0.73 tff(769,assumption,($greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!23)))), 0)), introduced(assumption)).
% 0.59/0.73 tff(770,assumption,($lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)), introduced(assumption)).
% 0.59/0.73 tff(771,plain,
% 0.59/0.73 ($false),
% 0.59/0.73 inference(theory_lemma,[status(thm)],[770, 690, 769])).
% 0.59/0.73 tff(772,plain,((~$lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)) | $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, I!23)))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.73 tff(773,plain,
% 0.59/0.73 (~$lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.73 inference(unit_resolution,[status(thm)],[772, 768, 690])).
% 0.59/0.73 tff(774,assumption,($greatereq(to_int1(M!13), 0)), introduced(assumption)).
% 0.59/0.73 tff(775,plain,
% 0.59/0.73 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(776,plain,
% 0.59/0.73 (($lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0))) <=> ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(777,plain,
% 0.59/0.73 ($greatereq($sum($product(-1, to_int1(get3(A1!1, to_int1(M!13)))), to_int1(get3(A1!1, I!23))), 0) <=> $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(778,plain,
% 0.59/0.73 ($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = $sum($product(-1, to_int1(get3(A1!1, to_int1(M!13)))), to_int1(get3(A1!1, I!23)))),
% 0.59/0.73 inference(rewrite,[status(thm)],[])).
% 0.59/0.73 tff(779,plain,
% 0.59/0.73 ($greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) <=> $greatereq($sum($product(-1, to_int1(get3(A1!1, to_int1(M!13)))), to_int1(get3(A1!1, I!23))), 0)),
% 0.59/0.73 inference(monotonicity,[status(thm)],[778])).
% 0.59/0.73 tff(780,plain,
% 0.59/0.73 ($greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) <=> $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.73 inference(transitivity,[status(thm)],[779, 777])).
% 0.59/0.73 tff(781,plain,
% 0.59/0.73 (($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0))) <=> ($lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0)))),
% 0.59/0.73 inference(monotonicity,[status(thm)],[751, 780])).
% 0.59/0.73 tff(782,plain,
% 0.59/0.73 (($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0))) <=> ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0))),
% 0.59/0.74 inference(transitivity,[status(thm)],[781, 776])).
% 0.59/0.74 tff(783,plain,
% 0.59/0.74 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0)))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)))),
% 0.59/0.74 inference(monotonicity,[status(thm)],[782])).
% 0.59/0.74 tff(784,plain,
% 0.59/0.74 (((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0)))) <=> ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0))),
% 0.59/0.74 inference(transitivity,[status(thm)],[783, 775])).
% 0.59/0.74 tff(785,plain,
% 0.59/0.74 ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | ($greatereq($sum(I!23, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I!23)), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | (~$greatereq(to_int1(M!13), 0)))),
% 0.59/0.74 inference(quant_inst,[status(thm)],[])).
% 0.59/0.74 tff(786,plain,
% 0.59/0.74 ((~![I1: $int, I2: $int] : ($greatereq($sum(I2, $product(-1, to_int1(A!2))), 0) | $greatereq($sum(to_int1(get3(A1!1, I2)), $product(-1, to_int1(get3(A1!1, I1)))), 0) | (~$lesseq($sum(I1, $product(-1, I2)), 0)) | (~$greatereq(I1, 0)))) | (~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[785, 784])).
% 0.59/0.74 tff(787,plain,
% 0.59/0.74 ((~$lesseq($sum(to_int1(M!13), $product(-1, I!23)), 0)) | $lesseq($sum(to_int1(get3(A1!1, to_int1(M!13))), $product(-1, to_int1(get3(A1!1, I!23)))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[786, 634, 774, 742])).
% 0.59/0.74 tff(788,plain,
% 0.59/0.74 ($false),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[787, 773, 764])).
% 0.59/0.74 tff(789,plain,(((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))) | (~$greatereq(to_int1(M!13), 0)) | $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq(to_int1(O6!20), 1)) | (~$lesseq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)) | (~$lesseq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0))))))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.74 tff(790,plain,
% 0.59/0.74 ((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0))),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[789, 733, 690, 727, 695, 726, 188])).
% 0.59/0.74 tff(791,plain,
% 0.59/0.74 ((~(to_int1(O7!21) = to_int1(U1!22))) | $greatereq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.74 tff(792,plain,
% 0.59/0.74 ($greatereq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[791, 731])).
% 0.59/0.74 tff(793,assumption,($greatereq(to_int1(O6!20), 1)), introduced(assumption)).
% 0.59/0.74 tff(794,plain,
% 0.59/0.74 ($greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[528, 522, 518, 517, 402, 516])).
% 0.59/0.74 tff(795,plain,
% 0.59/0.74 ($greatereq(to_int1(O4!11), 0) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0))),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.74 tff(796,plain,
% 0.59/0.74 ($greatereq(to_int1(O4!11), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[795, 554, 794, 399])).
% 0.59/0.74 tff(797,plain,
% 0.59/0.74 (^[X: $int, Y: $int] : refl(((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0))) <=> ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0))))),
% 0.59/0.74 inference(bind,[status(th)],[])).
% 0.59/0.74 tff(798,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0))) <=> ![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.59/0.74 inference(quant_intro,[status(thm)],[797])).
% 0.59/0.74 tff(799,plain,
% 0.59/0.74 (^[X: $int, Y: $int] : trans(monotonicity(trans(monotonicity(rewrite(($greatereq(X, 0) & (~(Y = 0))) <=> (~((~$greatereq(X, 0)) | (Y = 0)))), ((~($greatereq(X, 0) & (~(Y = 0)))) <=> (~(~((~$greatereq(X, 0)) | (Y = 0)))))), rewrite((~(~((~$greatereq(X, 0)) | (Y = 0)))) <=> ((~$greatereq(X, 0)) | (Y = 0))), ((~($greatereq(X, 0) & (~(Y = 0)))) <=> ((~$greatereq(X, 0)) | (Y = 0)))), (((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0)) <=> (((~$greatereq(X, 0)) | (Y = 0)) | $greatereq(mod1(X, Y), 0)))), rewrite((((~$greatereq(X, 0)) | (Y = 0)) | $greatereq(mod1(X, Y), 0)) <=> ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))), (((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0)) <=> ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))))),
% 0.59/0.74 inference(bind,[status(th)],[])).
% 0.59/0.74 tff(800,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0)) <=> ![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.59/0.74 inference(quant_intro,[status(thm)],[799])).
% 0.59/0.74 tff(801,plain,
% 0.59/0.74 (^[X: $int, Y: $int] : rewrite(((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y))) <=> ((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0)))),
% 0.59/0.74 inference(bind,[status(th)],[])).
% 0.59/0.74 tff(802,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y))) <=> ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0))),
% 0.59/0.74 inference(quant_intro,[status(thm)],[801])).
% 0.59/0.74 tff(803,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y)))),
% 0.59/0.74 inference(rewrite,[status(thm)],[])).
% 0.59/0.74 tff(804,plain,
% 0.59/0.74 (^[X: $int, Y: $int] : rewrite((($lesseq(0, X) & (~(Y = 0))) => $lesseq(0, mod1(X, Y))) <=> ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y))))),
% 0.59/0.74 inference(bind,[status(th)],[])).
% 0.59/0.74 tff(805,plain,
% 0.59/0.74 (![X: $int, Y: $int] : (($lesseq(0, X) & (~(Y = 0))) => $lesseq(0, mod1(X, Y))) <=> ![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y)))),
% 0.59/0.74 inference(quant_intro,[status(thm)],[804])).
% 0.59/0.74 tff(806,axiom,(![X: $int, Y: $int] : (($lesseq(0, X) & (~(Y = 0))) => $lesseq(0, mod1(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mod_sign_pos')).
% 0.59/0.74 tff(807,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y)))),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[806, 805])).
% 0.59/0.74 tff(808,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($lesseq(0, X) & (~(Y = 0)))) | $lesseq(0, mod1(X, Y)))),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[807, 803])).
% 0.59/0.74 tff(809,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0))),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[808, 802])).
% 0.59/0.74 tff(810,plain,(
% 0.59/0.74 ![X: $int, Y: $int] : ((~($greatereq(X, 0) & (~(Y = 0)))) | $greatereq(mod1(X, Y), 0))),
% 0.59/0.74 inference(skolemize,[status(sab)],[809])).
% 0.59/0.74 tff(811,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[810, 800])).
% 0.59/0.74 tff(812,plain,
% 0.59/0.74 (![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[811, 798])).
% 0.59/0.74 tff(813,plain,
% 0.59/0.74 (((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0))),
% 0.59/0.74 inference(rewrite,[status(thm)],[])).
% 0.59/0.74 tff(814,plain,
% 0.59/0.74 (($false | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0))),
% 0.59/0.74 inference(rewrite,[status(thm)],[])).
% 0.59/0.74 tff(815,plain,
% 0.59/0.74 (((2 = 0) | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ($false | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.59/0.74 inference(monotonicity,[status(thm)],[376])).
% 0.59/0.74 tff(816,plain,
% 0.59/0.74 (((2 = 0) | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0))) <=> ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0))),
% 0.59/0.74 inference(transitivity,[status(thm)],[815, 814])).
% 0.59/0.74 tff(817,plain,
% 0.59/0.74 (((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | ((2 = 0) | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0)))),
% 0.59/0.74 inference(monotonicity,[status(thm)],[816])).
% 0.59/0.74 tff(818,plain,
% 0.59/0.74 (((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | ((2 = 0) | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))) <=> ((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0))),
% 0.59/0.74 inference(transitivity,[status(thm)],[817, 813])).
% 0.59/0.74 tff(819,plain,
% 0.59/0.74 ((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | ((2 = 0) | $greatereq(mod1(to_int1(O4!11), 2), 0) | (~$greatereq(to_int1(O4!11), 0)))),
% 0.59/0.74 inference(quant_inst,[status(thm)],[])).
% 0.59/0.74 tff(820,plain,
% 0.59/0.74 ((~![X: $int, Y: $int] : ((Y = 0) | $greatereq(mod1(X, Y), 0) | (~$greatereq(X, 0)))) | (~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0)),
% 0.59/0.74 inference(modus_ponens,[status(thm)],[819, 818])).
% 0.59/0.74 tff(821,plain,
% 0.59/0.74 ((~$greatereq(to_int1(O4!11), 0)) | $greatereq(mod1(to_int1(O4!11), 2), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[820, 812])).
% 0.59/0.74 tff(822,plain,
% 0.59/0.74 ($greatereq(mod1(to_int1(O4!11), 2), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[821, 796])).
% 0.59/0.74 tff(823,plain,
% 0.59/0.74 ((~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | $greatereq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.74 tff(824,plain,
% 0.59/0.74 ($greatereq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[823, 724])).
% 0.59/0.74 tff(825,plain,
% 0.59/0.74 ((~$lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)) | (~$greatereq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)) | (~$greatereq(to_int1(O6!20), 1)) | (~$greatereq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(mod1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0))),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.74 tff(826,plain,
% 0.59/0.74 (~$lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[825, 824, 522, 517, 516, 554, 524, 518, 822, 793, 792])).
% 0.59/0.74 tff(827,plain,
% 0.59/0.74 ((~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0)) | (~$greatereq($sum(to_int1(O7!21), $product(-1, to_int1(U1!22))), 0)) | (~$greatereq(to_int1(O6!20), 1)) | (~$greatereq($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))), 0)) | (~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(mod1(to_int1(O4!11), 2), 0)) | (~$greatereq($sum(to_int1(O4!11), $sum($product(-2, div1(to_int1(O4!11), 2)), $product(-1, mod1(to_int1(O4!11), 2)))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0))),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.74 tff(828,plain,
% 0.59/0.74 (~$lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[827, 824, 522, 517, 516, 554, 717, 524, 518, 822, 793, 792])).
% 0.59/0.74 tff(829,plain,
% 0.59/0.74 ((~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(830,plain,
% 0.59/0.74 ($false),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[829, 828, 826, 398, 402, 790, 722])).
% 0.59/0.74 tff(831,plain,(((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq(to_int1(O6!20), 1)) | $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq(to_int1(O6!20), 1)) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.74 tff(832,plain,
% 0.59/0.74 ((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[831, 719, 402, 522, 517, 516, 554, 717, 518, 398, 690, 716, 188, 399])).
% 0.59/0.74 tff(833,plain,
% 0.59/0.74 ((~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))) | (~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(834,plain,
% 0.59/0.74 (~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[833, 832, 712])).
% 0.59/0.74 tff(835,plain,
% 0.59/0.74 ((~(in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20)))) <=> (~((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))))) | in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20)))) | ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(836,plain,
% 0.59/0.74 ((~(in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20)))) <=> (~((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))))) | ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[835, 834])).
% 0.59/0.74 tff(837,plain,
% 0.59/0.74 ((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647))),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[836, 688])).
% 0.59/0.74 tff(838,assumption,(~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)), introduced(assumption)).
% 0.59/0.74 tff(839,assumption,($greatereq(mod1(to_int1(O4!11), 2), 0)), introduced(assumption)).
% 0.59/0.74 tff(840,plain,
% 0.59/0.74 ($false),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[717, 516, 839, 524, 518, 517, 522, 554, 793, 838, 130])).
% 0.59/0.74 tff(841,plain,($lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647) | (~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$greatereq(mod1(to_int1(O4!11), 2), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(to_int1(O6!20), 1))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.74 tff(842,plain,
% 0.59/0.74 ($lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[841, 822, 516, 717, 518, 517, 522, 554, 719])).
% 0.59/0.74 tff(843,plain,
% 0.59/0.74 ((~((~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647)))) | (~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)) | (~$lesseq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), 2147483647))),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(844,plain,
% 0.59/0.74 (~$greatereq($sum(to_int1(M!13), $product(-1, to_int1(O6!20))), -2147483648)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[843, 842, 837])).
% 0.59/0.74 tff(845,plain,
% 0.59/0.74 ($false),
% 0.59/0.74 inference(theory_lemma,[status(thm)],[716, 844, 554, 398])).
% 0.59/0.74 tff(846,plain,($greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$greatereq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$greatereq($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~in_bounds1(1)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))) | ((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.74 tff(847,plain,
% 0.59/0.74 ($greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[846, 684, 398, 516, 686, 518, 517, 520, 402, 188, 399, 540, 531, 537, 539, 512])).
% 0.59/0.74 tff(848,plain,
% 0.59/0.74 (((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~(Result2!19 = true1)) | (~$greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(849,plain,
% 0.59/0.74 (~(Result2!19 = true1)),
% 0.59/0.74 inference(unit_resolution,[status(thm)],[848, 847, 684])).
% 0.59/0.74 tff(850,plain,
% 0.59/0.74 (((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))))))) | (Result2!19 = true1)),
% 0.59/0.74 inference(tautology,[status(thm)],[])).
% 0.59/0.74 tff(851,plain,
% 0.59/0.74 ((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0)))))))))))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[850, 849])).
% 0.59/0.75 tff(852,plain,
% 0.59/0.75 (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[705, 851, 682])).
% 0.59/0.75 tff(853,plain,
% 0.59/0.75 (((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))))))) | (~(Result1!14 = true1))),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(854,plain,
% 0.59/0.75 (~(Result1!14 = true1)),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[853, 676])).
% 0.59/0.75 tff(855,plain,
% 0.59/0.75 (((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (Result1!14 = true1) | $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(856,plain,
% 0.59/0.75 ($lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[855, 854, 539])).
% 0.59/0.75 tff(857,plain,
% 0.59/0.75 (($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0) | (~$lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~$greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0))),
% 0.59/0.75 inference(theory_lemma,[status(thm)],[])).
% 0.59/0.75 tff(858,plain,
% 0.59/0.75 ($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[857, 847, 856])).
% 0.59/0.75 tff(859,plain,
% 0.59/0.75 (^[X: int321, Y: int321] : refl(((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y)) <=> ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y)))),
% 0.59/0.75 inference(bind,[status(th)],[])).
% 0.59/0.75 tff(860,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y)) <=> ![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))),
% 0.59/0.75 inference(quant_intro,[status(thm)],[859])).
% 0.59/0.75 tff(861,plain,
% 0.59/0.75 (^[X: int321, Y: int321] : rewrite(((~($sum(to_int1(X), $product(-1, to_int1(Y))) = 0)) | (X = Y)) <=> ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y)))),
% 0.59/0.75 inference(bind,[status(th)],[])).
% 0.59/0.75 tff(862,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~($sum(to_int1(X), $product(-1, to_int1(Y))) = 0)) | (X = Y)) <=> ![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))),
% 0.59/0.75 inference(quant_intro,[status(thm)],[861])).
% 0.59/0.75 tff(863,plain,
% 0.59/0.75 (^[X: int321, Y: int321] : rewrite(((~(to_int1(X) = to_int1(Y))) | (X = Y)) <=> ((~($sum(to_int1(X), $product(-1, to_int1(Y))) = 0)) | (X = Y)))),
% 0.59/0.75 inference(bind,[status(th)],[])).
% 0.59/0.75 tff(864,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y)) <=> ![X: int321, Y: int321] : ((~($sum(to_int1(X), $product(-1, to_int1(Y))) = 0)) | (X = Y))),
% 0.59/0.75 inference(quant_intro,[status(thm)],[863])).
% 0.59/0.75 tff(865,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y)) <=> ![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y))),
% 0.59/0.75 inference(rewrite,[status(thm)],[])).
% 0.59/0.75 tff(866,plain,
% 0.59/0.75 (^[X: int321, Y: int321] : rewrite(((to_int1(X) = to_int1(Y)) => (X = Y)) <=> ((~(to_int1(X) = to_int1(Y))) | (X = Y)))),
% 0.59/0.75 inference(bind,[status(th)],[])).
% 0.59/0.75 tff(867,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((to_int1(X) = to_int1(Y)) => (X = Y)) <=> ![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y))),
% 0.59/0.75 inference(quant_intro,[status(thm)],[866])).
% 0.59/0.75 tff(868,axiom,(![X: int321, Y: int321] : ((to_int1(X) = to_int1(Y)) => (X = Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','extensionality')).
% 0.59/0.75 tff(869,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[868, 867])).
% 0.59/0.75 tff(870,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~(to_int1(X) = to_int1(Y))) | (X = Y))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[869, 865])).
% 0.59/0.75 tff(871,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~($sum(to_int1(X), $product(-1, to_int1(Y))) = 0)) | (X = Y))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[870, 864])).
% 0.59/0.75 tff(872,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[871, 862])).
% 0.59/0.75 tff(873,plain,(
% 0.59/0.75 ![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))),
% 0.59/0.75 inference(skolemize,[status(sab)],[872])).
% 0.59/0.75 tff(874,plain,
% 0.59/0.75 (![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[873, 860])).
% 0.59/0.75 tff(875,plain,
% 0.59/0.75 (((~![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))) | ((~($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0)) | (get3(A1!1, to_int1(M!13)) = V!0))) <=> ((~![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))) | (~($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0)) | (get3(A1!1, to_int1(M!13)) = V!0))),
% 0.59/0.75 inference(rewrite,[status(thm)],[])).
% 0.59/0.75 tff(876,plain,
% 0.59/0.75 ((~![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))) | ((~($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0)) | (get3(A1!1, to_int1(M!13)) = V!0))),
% 0.59/0.75 inference(quant_inst,[status(thm)],[])).
% 0.59/0.75 tff(877,plain,
% 0.59/0.75 ((~![X: int321, Y: int321] : ((~($sum(to_int1(Y), $product(-1, to_int1(X))) = 0)) | (X = Y))) | (~($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0)) | (get3(A1!1, to_int1(M!13)) = V!0)),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[876, 875])).
% 0.59/0.75 tff(878,plain,
% 0.59/0.75 ((~($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))) = 0)) | (get3(A1!1, to_int1(M!13)) = V!0)),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[877, 874])).
% 0.59/0.75 tff(879,plain,
% 0.59/0.75 (get3(A1!1, to_int1(M!13)) = V!0),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[878, 858])).
% 0.59/0.75 tff(880,plain,
% 0.59/0.75 ((~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))) | (~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(881,plain,
% 0.59/0.75 (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[880, 879, 531, 514])).
% 0.59/0.75 tff(882,plain,
% 0.59/0.75 (((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0))))) | ((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(883,plain,
% 0.59/0.75 ($false),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[882, 881, 852])).
% 0.59/0.75 tff(884,plain,(((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))) | (~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~![I: $int] : ((~$greatereq(I, 0)) | $greatereq($sum(I, $product(-1, to_int1(A!2))), 0) | (~(get3(A1!1, I) = V!0)) | (~((~$greatereq($sum(I, $product(-1, to_int1(L!7))), 0)) | (~$lesseq($sum(I, $product(-1, to_int1(U!8))), 0)))))) | (~$greatereq($sum(to_int1(L!7), $sum($product(-1, to_int1(U!8)), to_int1(O4!11))), 0)) | (~in_bounds1(1)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | (~$greatereq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, div1(to_int1(O4!11), 2))), 0)) | (~$lesseq($sum(div1(to_int1(O4!11), to_int1(O3!10)), $product(-1, to_int1(O5!12))), 0))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.75 tff(885,plain,
% 0.59/0.75 ((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[884, 397, 325, 395, 393, 224, 187, 293, 109, 389, 387, 270])).
% 0.59/0.75 tff(886,plain,
% 0.59/0.75 ((~((~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0))))))) | (~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))) | (~((~($sum(to_int1(L!7), $sum(to_int1(O5!12), $product(-1, to_int1(M!13)))) = 0)) | (~((~$greatereq(to_int1(M!13), 0)) | (~(((Result1!14 = true1) <=> $lesseq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)) | (~((~((~(Result1!14 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!15) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), to_int1(O6!15)))) | (~((~(L1!17 = O7!16)) | (~($sum(to_int1(M!13), $sum(to_int1(O6!15), $product(-1, to_int1(O7!16)))) = 0)) | (~((~$greatereq(to_int1(L1!17), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U!8))), 0) | $greatereq($sum(to_int1(L!7), $product(-1, to_int1(L1!17))), 0) | (~((~(get3(A1!1, I!18) = V!0)) | (~$greatereq(I!18, 0)) | $lesseq($sum(to_int1(A!2), $product(-1, I!18)), 0) | (~((~$lesseq($sum(to_int1(L1!17), $product(-1, I!18)), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, I!18)), 0)))))))))))))))))) | (~((Result1!14 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~((~((~((~(Result2!19 = true1)) | (~((~in_bounds1(1)) | (~((~(to_int1(O6!20) = 1)) | (~((~in_bounds1($sum(to_int1(M!13), $product(-1, to_int1(O6!20))))) | (~((~(U1!22 = O7!21)) | (~($sum(to_int1(M!13), $sum($product(-1, to_int1(O6!20)), $product(-1, to_int1(O7!21)))) = 0)) | (~((~$greatereq(to_int1(L!7), 0)) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(U!8))), 0)) | (~((~(get3(A1!1, I!23) = V!0)) | (~((~$lesseq($sum(to_int1(L!7), $product(-1, I!23)), 0)) | (~$greatereq($sum(to_int1(U1!22), $product(-1, I!23)), 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, I!23)), 0) | (~$greatereq(I!23, 0)))) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(U1!22))), 0) | $lesseq($sum(to_int1(U!8), $product(-1, to_int1(U1!22))), 0))))))))))))) | (~((Result2!19 = true1) | (~((~$greatereq(to_int1(M!13), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0) | (~(get3(A1!1, to_int1(M!13)) = V!0)))))))) | ((Result2!19 = true1) <=> $greatereq($sum(to_int1(V!0), $product(-1, to_int1(get3(A1!1, to_int1(M!13))))), 0)))))))))))) | (~$lesseq($sum(to_int1(L!7), $product(-1, to_int1(M!13))), 0)) | (~$greatereq($sum(to_int1(U!8), $product(-1, to_int1(M!13))), 0)) | $lesseq($sum(to_int1(A!2), $product(-1, to_int1(M!13))), 0)))))),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(887,plain,
% 0.59/0.75 (~in_bounds1($sum(to_int1(L!7), to_int1(O5!12)))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[886, 885, 385])).
% 0.59/0.75 tff(888,plain,
% 0.59/0.75 ((~(in_bounds1($sum(to_int1(L!7), to_int1(O5!12))) <=> (~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))))) | in_bounds1($sum(to_int1(L!7), to_int1(O5!12))) | ((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))),
% 0.59/0.75 inference(tautology,[status(thm)],[])).
% 0.59/0.75 tff(889,plain,
% 0.59/0.75 ((~(in_bounds1($sum(to_int1(L!7), to_int1(O5!12))) <=> (~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))))) | ((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[888, 887])).
% 0.59/0.75 tff(890,plain,
% 0.59/0.75 ((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647))),
% 0.59/0.75 inference(unit_resolution,[status(thm)],[889, 34])).
% 0.59/0.75 tff(891,assumption,(~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)), introduced(assumption)).
% 0.59/0.75 tff(892,plain,
% 0.59/0.75 ($false),
% 0.59/0.75 inference(theory_lemma,[status(thm)],[665, 891, 398])).
% 0.59/0.75 tff(893,plain,($greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648) | (~$greatereq(to_int1(L!7), 0))), inference(lemma,lemma(discharge,[]))).
% 0.59/0.76 tff(894,plain,
% 0.59/0.76 ($greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[893, 270])).
% 0.59/0.76 tff(895,plain,
% 0.59/0.76 ((~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))) | (~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(896,plain,
% 0.59/0.76 ((~((~$greatereq($sum(to_int1(L!7), to_int1(O5!12)), -2147483648)) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)))) | (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[895, 894])).
% 0.59/0.76 tff(897,plain,
% 0.59/0.76 (~$lesseq($sum(to_int1(L!7), to_int1(O5!12)), 2147483647)),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[896, 890])).
% 0.59/0.76 tff(898,plain,
% 0.59/0.76 ($greatereq(mod1(to_int1(O4!11), 2), 0)),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[820, 812, 295])).
% 0.59/0.76 tff(899,plain,
% 0.59/0.76 ($false),
% 0.59/0.76 inference(theory_lemma,[status(thm)],[280, 898, 524, 325, 395, 397, 897, 32])).
% 0.59/0.76 % SZS output end Proof
%------------------------------------------------------------------------------