TSTP Solution File: GRP641+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 : Fri Sep 16 22:29:05 EDT 2022
% Result : Theorem 9.96s 6.67s
% Output : Proof 9.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 18:50:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 9.96/6.67 % SZS status Theorem
% 9.96/6.67 % SZS output start Proof
% 9.96/6.67 tff(v1_xboole_0_type, type, (
% 9.96/6.67 v1_xboole_0: $i > $o)).
% 9.96/6.67 tff(k1_funct_1_type, type, (
% 9.96/6.67 k1_funct_1: ( $i * $i ) > $i)).
% 9.96/6.67 tff(tptp_fun_B_1_type, type, (
% 9.96/6.67 tptp_fun_B_1: $i)).
% 9.96/6.67 tff(k1_latsubgr_type, type, (
% 9.96/6.67 k1_latsubgr: $i > $i)).
% 9.96/6.67 tff(tptp_fun_A_0_type, type, (
% 9.96/6.67 tptp_fun_A_0: $i)).
% 9.96/6.67 tff(u1_struct_0_type, type, (
% 9.96/6.67 u1_struct_0: $i > $i)).
% 9.96/6.67 tff(g1_group_1_type, type, (
% 9.96/6.67 g1_group_1: ( $i * $i ) > $i)).
% 9.96/6.67 tff(u1_group_1_type, type, (
% 9.96/6.67 u1_group_1: $i > $i)).
% 9.96/6.67 tff(v1_group_1_type, type, (
% 9.96/6.67 v1_group_1: $i > $o)).
% 9.96/6.67 tff(l1_group_1_type, type, (
% 9.96/6.67 l1_group_1: $i > $o)).
% 9.96/6.67 tff(v3_group_1_type, type, (
% 9.96/6.67 v3_group_1: $i > $o)).
% 9.96/6.67 tff(v3_struct_0_type, type, (
% 9.96/6.67 v3_struct_0: $i > $o)).
% 9.96/6.67 tff(m1_group_2_type, type, (
% 9.96/6.67 m1_group_2: ( $i * $i ) > $o)).
% 9.96/6.67 tff(r2_hidden_type, type, (
% 9.96/6.67 r2_hidden: ( $i * $i ) > $o)).
% 9.96/6.67 tff(k2_group_1_type, type, (
% 9.96/6.67 k2_group_1: $i > $i)).
% 9.96/6.67 tff(v4_group_1_type, type, (
% 9.96/6.67 v4_group_1: $i > $o)).
% 9.96/6.67 tff(tptp_fun_C_2_type, type, (
% 9.96/6.67 tptp_fun_C_2: ( $i * $i ) > $i)).
% 9.96/6.67 tff(m2_relset_1_type, type, (
% 9.96/6.67 m2_relset_1: ( $i * $i * $i ) > $o)).
% 9.96/6.67 tff(k1_zfmisc_1_type, type, (
% 9.96/6.67 k1_zfmisc_1: $i > $i)).
% 9.96/6.67 tff(k1_group_3_type, type, (
% 9.96/6.67 k1_group_3: $i > $i)).
% 9.96/6.67 tff(v1_funct_2_type, type, (
% 9.96/6.67 v1_funct_2: ( $i * $i * $i ) > $o)).
% 9.96/6.67 tff(v1_funct_1_type, type, (
% 9.96/6.67 v1_funct_1: $i > $o)).
% 9.96/6.67 tff(l1_struct_0_type, type, (
% 9.96/6.67 l1_struct_0: $i > $o)).
% 9.96/6.67 tff(m1_subset_1_type, type, (
% 9.96/6.67 m1_subset_1: ( $i * $i ) > $o)).
% 9.96/6.67 tff(1,plain,
% 9.96/6.67 (^[A: $i] : refl((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(2,plain,
% 9.96/6.67 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[1])).
% 9.96/6.67 tff(3,plain,
% 9.96/6.67 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(4,plain,
% 9.96/6.67 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[3])).
% 9.96/6.67 tff(5,plain,
% 9.96/6.67 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(transitivity,[status(thm)],[4, 2])).
% 9.96/6.67 tff(6,plain,
% 9.96/6.67 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A)) <=> (~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))))), ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) <=> (~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)))), ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))))), quant_intro(proof_bind(^[B: $i] : rewrite(((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))) <=> ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))), (![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))) <=> ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))) <=> ((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))))), rewrite(((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(7,plain,
% 9.96/6.67 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[6])).
% 9.96/6.67 tff(8,plain,
% 9.96/6.67 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(9,plain,
% 9.96/6.67 (^[A: $i] : trans(monotonicity(rewrite((((~v3_struct_0(A)) & v3_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite((((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B)) <=> ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))), ((m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B))) <=> (m1_group_2(B, A) => ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))), rewrite((m1_group_2(B, A) => ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))) <=> ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))), ((m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B))) <=> ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))))), (![B: $i] : (m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B))) <=> ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))), (((((~v3_struct_0(A)) & v3_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B)))) <=> (((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B)))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))), (((((~v3_struct_0(A)) & v3_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B)))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(10,plain,
% 9.96/6.67 (![A: $i] : ((((~v3_struct_0(A)) & v3_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[9])).
% 9.96/6.67 tff(11,axiom,(![A: $i] : ((((~v3_struct_0(A)) & v3_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (((~v3_struct_0(B)) & v3_group_1(B)) & l1_group_1(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_m1_group_2')).
% 9.96/6.67 tff(12,plain,
% 9.96/6.67 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[11, 10])).
% 9.96/6.67 tff(13,plain,
% 9.96/6.67 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[12, 8])).
% 9.96/6.67 tff(14,plain,(
% 9.96/6.67 ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | ((~v3_struct_0(B)) & v3_group_1(B) & l1_group_1(B))))),
% 9.96/6.67 inference(skolemize,[status(sab)],[13])).
% 9.96/6.67 tff(15,plain,
% 9.96/6.67 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[14, 7])).
% 9.96/6.67 tff(16,plain,
% 9.96/6.67 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[15, 5])).
% 9.96/6.67 tff(17,plain,
% 9.96/6.67 ((((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0)) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))) <=> ((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(18,plain,
% 9.96/6.67 ((~(~((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0)))) <=> ((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(19,plain,
% 9.96/6.67 (((~(~((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0)))) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))) <=> (((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0)) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))))),
% 9.96/6.67 inference(monotonicity,[status(thm)],[18])).
% 9.96/6.67 tff(20,plain,
% 9.96/6.67 (((~(~((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0)))) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))) <=> ((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))))),
% 9.96/6.67 inference(transitivity,[status(thm)],[19, 17])).
% 9.96/6.67 tff(21,plain,
% 9.96/6.67 ((~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B)))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(22,plain,
% 9.96/6.67 ((~![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : ((v1_group_1(B) & m1_group_2(B, A)) => r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B)))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(23,axiom,(~![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : ((v1_group_1(B) & m1_group_2(B, A)) => r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t19_latsubgr')).
% 9.96/6.67 tff(24,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[23, 22])).
% 9.96/6.67 tff(25,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[24, 21])).
% 9.96/6.67 tff(26,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[25, 21])).
% 9.96/6.67 tff(27,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[26, 21])).
% 9.96/6.67 tff(28,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[27, 21])).
% 9.96/6.67 tff(29,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[28, 21])).
% 9.96/6.67 tff(30,plain,
% 9.96/6.67 (~![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_group_1(B) & m1_group_2(B, A))) | r2_hidden(k2_group_1(A), k1_funct_1(k1_latsubgr(A), B))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[29, 21])).
% 9.96/6.67 tff(31,plain,
% 9.96/6.67 ((~v3_struct_0(A!0)) & v3_group_1(A!0) & v4_group_1(A!0) & l1_group_1(A!0) & (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[30, 20])).
% 9.96/6.67 tff(32,plain,
% 9.96/6.67 (l1_group_1(A!0)),
% 9.96/6.67 inference(and_elim,[status(thm)],[31])).
% 9.96/6.67 tff(33,plain,
% 9.96/6.67 (v3_group_1(A!0)),
% 9.96/6.67 inference(and_elim,[status(thm)],[31])).
% 9.96/6.67 tff(34,plain,
% 9.96/6.67 (~v3_struct_0(A!0)),
% 9.96/6.67 inference(and_elim,[status(thm)],[31])).
% 9.96/6.67 tff(35,plain,
% 9.96/6.67 (((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(36,plain,
% 9.96/6.67 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))),
% 9.96/6.67 inference(quant_inst,[status(thm)],[])).
% 9.96/6.67 tff(37,plain,
% 9.96/6.67 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[36, 35])).
% 9.96/6.67 tff(38,plain,
% 9.96/6.67 (![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))),
% 9.96/6.67 inference(unit_resolution,[status(thm)],[37, 34, 33, 32, 16])).
% 9.96/6.67 tff(39,plain,
% 9.96/6.67 (~((~(v1_group_1(B!1) & m1_group_2(B!1, A!0))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))),
% 9.96/6.67 inference(and_elim,[status(thm)],[31])).
% 9.96/6.67 tff(40,plain,
% 9.96/6.67 (v1_group_1(B!1) & m1_group_2(B!1, A!0)),
% 9.96/6.67 inference(or_elim,[status(thm)],[39])).
% 9.96/6.67 tff(41,plain,
% 9.96/6.67 (m1_group_2(B!1, A!0)),
% 9.96/6.67 inference(and_elim,[status(thm)],[40])).
% 9.96/6.67 tff(42,plain,
% 9.96/6.67 (((~![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) | ((~m1_group_2(B!1, A!0)) | (~(v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1)))))) <=> ((~![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) | (~m1_group_2(B!1, A!0)) | (~(v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1)))))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(43,plain,
% 9.96/6.67 ((~![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) | ((~m1_group_2(B!1, A!0)) | (~(v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1)))))),
% 9.96/6.67 inference(quant_inst,[status(thm)],[])).
% 9.96/6.67 tff(44,plain,
% 9.96/6.67 ((~![B: $i] : ((~m1_group_2(B, A!0)) | (~(v3_struct_0(B) | (~l1_group_1(B)) | (~v3_group_1(B)))))) | (~m1_group_2(B!1, A!0)) | (~(v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1))))),
% 9.96/6.67 inference(modus_ponens,[status(thm)],[43, 42])).
% 9.96/6.67 tff(45,plain,
% 9.96/6.67 (~(v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1)))),
% 9.96/6.67 inference(unit_resolution,[status(thm)],[44, 41, 38])).
% 9.96/6.67 tff(46,plain,
% 9.96/6.67 ((v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1))) | l1_group_1(B!1)),
% 9.96/6.67 inference(tautology,[status(thm)],[])).
% 9.96/6.67 tff(47,plain,
% 9.96/6.67 (l1_group_1(B!1)),
% 9.96/6.67 inference(unit_resolution,[status(thm)],[46, 45])).
% 9.96/6.67 tff(48,plain,
% 9.96/6.67 (^[A: $i] : refl(((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A))) <=> ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(49,plain,
% 9.96/6.67 (![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A))) <=> ![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[48])).
% 9.96/6.67 tff(50,plain,
% 9.96/6.67 (![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A))) <=> ![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.67 inference(rewrite,[status(thm)],[])).
% 9.96/6.67 tff(51,plain,
% 9.96/6.67 (^[A: $i] : trans(monotonicity(rewrite((v1_group_1(A) => (A = g1_group_1(u1_struct_0(A), u1_group_1(A)))) <=> ((~v1_group_1(A)) | (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))), ((l1_group_1(A) => (v1_group_1(A) => (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))) <=> (l1_group_1(A) => ((~v1_group_1(A)) | (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))))), rewrite((l1_group_1(A) => ((~v1_group_1(A)) | (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))) <=> ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))), ((l1_group_1(A) => (v1_group_1(A) => (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))) <=> ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))))),
% 9.96/6.67 inference(bind,[status(th)],[])).
% 9.96/6.67 tff(52,plain,
% 9.96/6.67 (![A: $i] : (l1_group_1(A) => (v1_group_1(A) => (A = g1_group_1(u1_struct_0(A), u1_group_1(A))))) <=> ![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.67 inference(quant_intro,[status(thm)],[51])).
% 9.96/6.67 tff(53,axiom,(![A: $i] : (l1_group_1(A) => (v1_group_1(A) => (A = g1_group_1(u1_struct_0(A), u1_group_1(A)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','abstractness_v1_group_1')).
% 9.96/6.68 tff(54,plain,
% 9.96/6.68 (![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[53, 52])).
% 9.96/6.68 tff(55,plain,
% 9.96/6.68 (![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[54, 50])).
% 9.96/6.68 tff(56,plain,(
% 9.96/6.68 ![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.68 inference(skolemize,[status(sab)],[55])).
% 9.96/6.68 tff(57,plain,
% 9.96/6.68 (![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[56, 49])).
% 9.96/6.68 tff(58,plain,
% 9.96/6.68 (v1_group_1(B!1)),
% 9.96/6.68 inference(and_elim,[status(thm)],[40])).
% 9.96/6.68 tff(59,plain,
% 9.96/6.68 (((~![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))) | ((B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_group_1(B!1)) | (~l1_group_1(B!1)))) <=> ((~![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))) | (B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_group_1(B!1)) | (~l1_group_1(B!1)))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(60,plain,
% 9.96/6.68 ((~![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))) | ((B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_group_1(B!1)) | (~l1_group_1(B!1)))),
% 9.96/6.68 inference(quant_inst,[status(thm)],[])).
% 9.96/6.68 tff(61,plain,
% 9.96/6.68 ((~![A: $i] : ((A = g1_group_1(u1_struct_0(A), u1_group_1(A))) | (~v1_group_1(A)) | (~l1_group_1(A)))) | (B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_group_1(B!1)) | (~l1_group_1(B!1))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[60, 59])).
% 9.96/6.68 tff(62,plain,
% 9.96/6.68 ((B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(B!1))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[61, 58, 57])).
% 9.96/6.68 tff(63,plain,
% 9.96/6.68 (B!1 = g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[62, 47])).
% 9.96/6.68 tff(64,plain,
% 9.96/6.68 (g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)) = B!1),
% 9.96/6.68 inference(symmetry,[status(thm)],[63])).
% 9.96/6.68 tff(65,plain,
% 9.96/6.68 (v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) <=> v1_group_1(B!1)),
% 9.96/6.68 inference(monotonicity,[status(thm)],[64])).
% 9.96/6.68 tff(66,plain,
% 9.96/6.68 (v1_group_1(B!1) <=> v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.68 inference(symmetry,[status(thm)],[65])).
% 9.96/6.68 tff(67,plain,
% 9.96/6.68 (v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[58, 66])).
% 9.96/6.68 tff(68,plain,
% 9.96/6.68 (m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0) <=> m1_group_2(B!1, A!0)),
% 9.96/6.68 inference(monotonicity,[status(thm)],[64])).
% 9.96/6.68 tff(69,plain,
% 9.96/6.68 (m1_group_2(B!1, A!0) <=> m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)),
% 9.96/6.68 inference(symmetry,[status(thm)],[68])).
% 9.96/6.68 tff(70,plain,
% 9.96/6.68 (m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[41, 69])).
% 9.96/6.68 tff(71,plain,
% 9.96/6.68 (^[A: $i] : refl((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(72,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[71])).
% 9.96/6.68 tff(73,plain,
% 9.96/6.68 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(74,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[73])).
% 9.96/6.68 tff(75,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(transitivity,[status(thm)],[74, 72])).
% 9.96/6.68 tff(76,plain,
% 9.96/6.68 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) <=> (~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) <=> (~((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))), ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> (~(~((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))))), rewrite((~(~((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))), ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))), trans(monotonicity(rewrite(((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) <=> ((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))), trans(monotonicity(rewrite((~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))) <=> (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))), (((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))) <=> ((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))), rewrite(((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))) <=> ((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))), (((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))) <=> ((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))), ((((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))))) <=> (((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A)))) & ((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))), rewrite((((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A)))) & ((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))) <=> (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))), ((((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))))) <=> (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))), (((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))))) <=> (((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))), rewrite((((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))), (((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))))) <=> ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))))), (![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))))) <=> ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))))))) <=> ((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))))), rewrite(((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A)))))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(77,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[76])).
% 9.96/6.68 tff(78,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(79,plain,
% 9.96/6.68 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite(((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) <=> (v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))), rewrite(((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C)))) <=> ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))), ((((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C))))) <=> ((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))), rewrite(((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))) <=> ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))))), ((((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C))))) <=> ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))))))), (![B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C))))) <=> ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C)))))) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))))))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C)))))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(80,plain,
% 9.96/6.68 (![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C)))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[79])).
% 9.96/6.68 tff(81,axiom,(![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (((v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) => ((B = k1_latsubgr(A)) <=> ![C: $i] : ((v1_group_1(C) & m1_group_2(C, A)) => (k1_funct_1(B, C) = u1_struct_0(C))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d1_latsubgr')).
% 9.96/6.68 tff(82,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[81, 80])).
% 9.96/6.68 tff(83,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | ((B = k1_latsubgr(A)) <=> ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[82, 78])).
% 9.96/6.68 tff(84,plain,(
% 9.96/6.68 ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~(v1_funct_1(B) & v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) | (((~(B = k1_latsubgr(A))) | ![C: $i] : ((~(v1_group_1(C) & m1_group_2(C, A))) | (k1_funct_1(B, C) = u1_struct_0(C)))) & ((B = k1_latsubgr(A)) | (~((~(v1_group_1(tptp_fun_C_2(B, A)) & m1_group_2(tptp_fun_C_2(B, A), A))) | (k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A)))))))))),
% 9.96/6.68 inference(skolemize,[status(sab)],[83])).
% 9.96/6.68 tff(85,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[84, 77])).
% 9.96/6.68 tff(86,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[85, 75])).
% 9.96/6.68 tff(87,plain,
% 9.96/6.68 (v4_group_1(A!0)),
% 9.96/6.68 inference(and_elim,[status(thm)],[31])).
% 9.96/6.68 tff(88,plain,
% 9.96/6.68 (((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0))))))))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(89,plain,
% 9.96/6.68 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0))))))))))),
% 9.96/6.68 inference(quant_inst,[status(thm)],[])).
% 9.96/6.68 tff(90,plain,
% 9.96/6.68 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(B, k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~((~((~(B = k1_latsubgr(A))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A))))) | (~((B = k1_latsubgr(A)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A)) = u1_struct_0(tptp_fun_C_2(B, A))) | (~v1_group_1(tptp_fun_C_2(B, A))) | (~m1_group_2(tptp_fun_C_2(B, A), A))))))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[89, 88])).
% 9.96/6.68 tff(91,plain,
% 9.96/6.68 (![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[90, 34, 33, 87, 32, 86])).
% 9.96/6.68 tff(92,plain,
% 9.96/6.68 (^[A: $i] : refl((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(93,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[92])).
% 9.96/6.68 tff(94,plain,
% 9.96/6.68 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) <=> (~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), rewrite((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) <=> (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))))), rewrite(((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(95,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[94])).
% 9.96/6.68 tff(96,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(97,plain,
% 9.96/6.68 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)))), rewrite(((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) <=> (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))),
% 9.96/6.68 inference(bind,[status(th)],[])).
% 9.96/6.68 tff(98,plain,
% 9.96/6.68 (![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))),
% 9.96/6.68 inference(quant_intro,[status(thm)],[97])).
% 9.96/6.68 tff(99,axiom,(![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ((v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k1_latsubgr')).
% 9.96/6.68 tff(100,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[99, 98])).
% 9.96/6.68 tff(101,plain,
% 9.96/6.68 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[100, 96])).
% 9.96/6.68 tff(102,plain,(
% 9.96/6.68 ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | (v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))),
% 9.96/6.68 inference(skolemize,[status(sab)],[101])).
% 9.96/6.68 tff(103,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[102, 95])).
% 9.96/6.68 tff(104,plain,
% 9.96/6.68 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[103, 93])).
% 9.96/6.68 tff(105,plain,
% 9.96/6.68 (((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | (~((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | (~((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(106,plain,
% 9.96/6.68 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | (~((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))),
% 9.96/6.68 inference(quant_inst,[status(thm)],[])).
% 9.96/6.68 tff(107,plain,
% 9.96/6.68 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | (~((~v1_funct_1(k1_latsubgr(A))) | (~v1_funct_2(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))) | (~m2_relset_1(k1_latsubgr(A), k1_group_3(A), k1_zfmisc_1(u1_struct_0(A)))))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | (~((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0))))))),
% 9.96/6.68 inference(modus_ponens,[status(thm)],[106, 105])).
% 9.96/6.68 tff(108,plain,
% 9.96/6.68 (~((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[107, 34, 33, 87, 32, 104])).
% 9.96/6.68 tff(109,plain,
% 9.96/6.68 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0))))) | m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 9.96/6.68 inference(tautology,[status(thm)],[])).
% 9.96/6.68 tff(110,plain,
% 9.96/6.68 (m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[109, 108])).
% 9.96/6.68 tff(111,plain,
% 9.96/6.68 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0))))) | v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 9.96/6.68 inference(tautology,[status(thm)],[])).
% 9.96/6.68 tff(112,plain,
% 9.96/6.68 (v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[111, 108])).
% 9.96/6.68 tff(113,plain,
% 9.96/6.68 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0))))) | v1_funct_1(k1_latsubgr(A!0))),
% 9.96/6.68 inference(tautology,[status(thm)],[])).
% 9.96/6.68 tff(114,plain,
% 9.96/6.68 (v1_funct_1(k1_latsubgr(A!0))),
% 9.96/6.68 inference(unit_resolution,[status(thm)],[113, 108])).
% 9.96/6.68 tff(115,plain,
% 9.96/6.68 (((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))) <=> ((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | (~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(116,plain,
% 9.96/6.68 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) <=> ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(117,plain,
% 9.96/6.68 ((~(~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))) <=> ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(118,plain,
% 9.96/6.68 (((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | $false) <=> (~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(119,plain,
% 9.96/6.68 ((~$true) <=> $false),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(120,plain,
% 9.96/6.68 (($true | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))) <=> $true),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(121,plain,
% 9.96/6.68 ((~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))) <=> (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(122,plain,
% 9.96/6.68 ((k1_latsubgr(A!0) = k1_latsubgr(A!0)) <=> $true),
% 9.96/6.68 inference(rewrite,[status(thm)],[])).
% 9.96/6.68 tff(123,plain,
% 9.96/6.68 (((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))) <=> ($true | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))),
% 9.96/6.68 inference(monotonicity,[status(thm)],[122, 121])).
% 9.96/6.69 tff(124,plain,
% 9.96/6.69 (((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))) <=> $true),
% 9.96/6.69 inference(transitivity,[status(thm)],[123, 120])).
% 9.96/6.69 tff(125,plain,
% 9.96/6.69 ((~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))) <=> (~$true)),
% 9.96/6.69 inference(monotonicity,[status(thm)],[124])).
% 9.96/6.69 tff(126,plain,
% 9.96/6.69 ((~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))) <=> $false),
% 9.96/6.69 inference(transitivity,[status(thm)],[125, 119])).
% 9.96/6.69 tff(127,plain,
% 9.96/6.69 ((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) <=> (~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(128,plain,
% 9.96/6.69 (((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))))) <=> ((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | $false)),
% 9.96/6.69 inference(monotonicity,[status(thm)],[127, 126])).
% 9.96/6.69 tff(129,plain,
% 9.96/6.69 (((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))))) <=> (~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.69 inference(transitivity,[status(thm)],[128, 118])).
% 9.96/6.69 tff(130,plain,
% 9.96/6.69 ((~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))))) <=> (~(~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[129])).
% 9.96/6.69 tff(131,plain,
% 9.96/6.69 ((~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))))) <=> ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))),
% 9.96/6.69 inference(transitivity,[status(thm)],[130, 117])).
% 9.96/6.69 tff(132,plain,
% 9.96/6.69 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))))))) <=> ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[131])).
% 9.96/6.69 tff(133,plain,
% 9.96/6.69 (((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0))))))))) <=> ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.69 inference(transitivity,[status(thm)],[132, 116])).
% 9.96/6.69 tff(134,plain,
% 9.96/6.69 (((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))))))) <=> ((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[133])).
% 9.96/6.69 tff(135,plain,
% 9.96/6.69 (((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))))))) <=> ((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | (~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C))))),
% 9.96/6.69 inference(transitivity,[status(thm)],[134, 115])).
% 9.96/6.69 tff(136,plain,
% 9.96/6.69 ((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | ((~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(k1_latsubgr(A!0) = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((k1_latsubgr(A!0) = k1_latsubgr(A!0)) | (~((k1_funct_1(k1_latsubgr(A!0), tptp_fun_C_2(k1_latsubgr(A!0), A!0)) = u1_struct_0(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~v1_group_1(tptp_fun_C_2(k1_latsubgr(A!0), A!0))) | (~m1_group_2(tptp_fun_C_2(k1_latsubgr(A!0), A!0), A!0)))))))))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(137,plain,
% 9.96/6.69 ((~![B: $i] : ((~v1_funct_1(B)) | (~v1_funct_2(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(B, k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~((~((~(B = k1_latsubgr(A!0))) | ![C: $i] : ((k1_funct_1(B, C) = u1_struct_0(C)) | (~v1_group_1(C)) | (~m1_group_2(C, A!0))))) | (~((B = k1_latsubgr(A!0)) | (~((k1_funct_1(B, tptp_fun_C_2(B, A!0)) = u1_struct_0(tptp_fun_C_2(B, A!0))) | (~v1_group_1(tptp_fun_C_2(B, A!0))) | (~m1_group_2(tptp_fun_C_2(B, A!0), A!0)))))))))) | (~v1_funct_1(k1_latsubgr(A!0))) | (~v1_funct_2(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~m2_relset_1(k1_latsubgr(A!0), k1_group_3(A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[136, 135])).
% 9.96/6.69 tff(138,plain,
% 9.96/6.69 (![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[137, 114, 112, 110, 91])).
% 9.96/6.69 tff(139,plain,
% 9.96/6.69 (((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | ((~v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)) | (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))) <=> ((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | (~v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)) | (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(140,plain,
% 9.96/6.69 ((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | ((~v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)) | (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(141,plain,
% 9.96/6.69 ((~![C: $i] : ((~v1_group_1(C)) | (~m1_group_2(C, A!0)) | (k1_funct_1(k1_latsubgr(A!0), C) = u1_struct_0(C)))) | (~v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)) | (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[140, 139])).
% 9.96/6.69 tff(142,plain,
% 9.96/6.69 ((~v1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~m1_group_2(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)), A!0)) | (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[141, 138])).
% 9.96/6.69 tff(143,plain,
% 9.96/6.69 (k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[142, 70, 67])).
% 9.96/6.69 tff(144,plain,
% 9.96/6.69 (k1_funct_1(k1_latsubgr(A!0), B!1) = k1_funct_1(k1_latsubgr(A!0), g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[63])).
% 9.96/6.69 tff(145,plain,
% 9.96/6.69 (k1_funct_1(k1_latsubgr(A!0), B!1) = u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(transitivity,[status(thm)],[144, 143])).
% 9.96/6.69 tff(146,plain,
% 9.96/6.69 (v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) <=> v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[145])).
% 9.96/6.69 tff(147,plain,
% 9.96/6.69 (v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) <=> v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1))),
% 9.96/6.69 inference(symmetry,[status(thm)],[146])).
% 9.96/6.69 tff(148,plain,
% 9.96/6.69 ((~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) <=> (~v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[147])).
% 9.96/6.69 tff(149,plain,
% 9.96/6.69 (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) <=> v3_struct_0(B!1)),
% 9.96/6.69 inference(monotonicity,[status(thm)],[64])).
% 9.96/6.69 tff(150,plain,
% 9.96/6.69 (v3_struct_0(B!1) <=> v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(symmetry,[status(thm)],[149])).
% 9.96/6.69 tff(151,plain,
% 9.96/6.69 ((~v3_struct_0(B!1)) <=> (~v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[150])).
% 9.96/6.69 tff(152,plain,
% 9.96/6.69 ((v3_struct_0(B!1) | (~l1_group_1(B!1)) | (~v3_group_1(B!1))) | (~v3_struct_0(B!1))),
% 9.96/6.69 inference(tautology,[status(thm)],[])).
% 9.96/6.69 tff(153,plain,
% 9.96/6.69 (~v3_struct_0(B!1)),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[152, 45])).
% 9.96/6.69 tff(154,plain,
% 9.96/6.69 (~v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[153, 151])).
% 9.96/6.69 tff(155,plain,
% 9.96/6.69 (l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) <=> l1_group_1(B!1)),
% 9.96/6.69 inference(monotonicity,[status(thm)],[64])).
% 9.96/6.69 tff(156,plain,
% 9.96/6.69 (l1_group_1(B!1) <=> l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(symmetry,[status(thm)],[155])).
% 9.96/6.69 tff(157,plain,
% 9.96/6.69 (l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[47, 156])).
% 9.96/6.69 tff(158,plain,
% 9.96/6.69 (^[A: $i] : refl((l1_struct_0(A) | (~l1_group_1(A))) <=> (l1_struct_0(A) | (~l1_group_1(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(159,plain,
% 9.96/6.69 (![A: $i] : (l1_struct_0(A) | (~l1_group_1(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[158])).
% 9.96/6.69 tff(160,plain,
% 9.96/6.69 (![A: $i] : (l1_struct_0(A) | (~l1_group_1(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(161,plain,
% 9.96/6.69 (^[A: $i] : rewrite((l1_group_1(A) => l1_struct_0(A)) <=> (l1_struct_0(A) | (~l1_group_1(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(162,plain,
% 9.96/6.69 (![A: $i] : (l1_group_1(A) => l1_struct_0(A)) <=> ![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[161])).
% 9.96/6.69 tff(163,axiom,(![A: $i] : (l1_group_1(A) => l1_struct_0(A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_l1_group_1')).
% 9.96/6.69 tff(164,plain,
% 9.96/6.69 (![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[163, 162])).
% 9.96/6.69 tff(165,plain,
% 9.96/6.69 (![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[164, 160])).
% 9.96/6.69 tff(166,plain,(
% 9.96/6.69 ![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(skolemize,[status(sab)],[165])).
% 9.96/6.69 tff(167,plain,
% 9.96/6.69 (![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[166, 159])).
% 9.96/6.69 tff(168,plain,
% 9.96/6.69 (((~![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))) | (l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))) <=> ((~![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))) | l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(169,plain,
% 9.96/6.69 ((~![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))) | (l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(170,plain,
% 9.96/6.69 ((~![A: $i] : (l1_struct_0(A) | (~l1_group_1(A)))) | l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[169, 168])).
% 9.96/6.69 tff(171,plain,
% 9.96/6.69 (l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[170, 167])).
% 9.96/6.69 tff(172,plain,
% 9.96/6.69 (l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[171, 157])).
% 9.96/6.69 tff(173,plain,
% 9.96/6.69 (^[A: $i] : refl((v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(174,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))) <=> ![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[173])).
% 9.96/6.69 tff(175,plain,
% 9.96/6.69 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_struct_0(A)) <=> (~(v3_struct_0(A) | (~l1_struct_0(A))))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (~(~(v3_struct_0(A) | (~l1_struct_0(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_struct_0(A))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (v3_struct_0(A) | (~l1_struct_0(A))))), (((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ((~v1_xboole_0(u1_struct_0(A))) | (v3_struct_0(A) | (~l1_struct_0(A)))))), rewrite(((~v1_xboole_0(u1_struct_0(A))) | (v3_struct_0(A) | (~l1_struct_0(A)))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))), (((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(176,plain,
% 9.96/6.69 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[175])).
% 9.96/6.69 tff(177,plain,
% 9.96/6.69 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(178,plain,
% 9.96/6.69 (^[A: $i] : rewrite((((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A)))) <=> ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(179,plain,
% 9.96/6.69 (![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A)))) <=> ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[178])).
% 9.96/6.69 tff(180,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fc1_struct_0')).
% 9.96/6.69 tff(181,plain,
% 9.96/6.69 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[180, 179])).
% 9.96/6.69 tff(182,plain,
% 9.96/6.69 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[181, 177])).
% 9.96/6.69 tff(183,plain,(
% 9.96/6.69 ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 9.96/6.69 inference(skolemize,[status(sab)],[182])).
% 9.96/6.69 tff(184,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[183, 176])).
% 9.96/6.69 tff(185,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[184, 174])).
% 9.96/6.69 tff(186,plain,
% 9.96/6.69 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(187,plain,
% 9.96/6.69 ((v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) <=> (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(188,plain,
% 9.96/6.69 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[187])).
% 9.96/6.69 tff(189,plain,
% 9.96/6.69 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))))),
% 9.96/6.69 inference(transitivity,[status(thm)],[188, 186])).
% 9.96/6.69 tff(190,plain,
% 9.96/6.69 ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(191,plain,
% 9.96/6.69 ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[190, 189])).
% 9.96/6.69 tff(192,plain,
% 9.96/6.69 (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | (~l1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[191, 185])).
% 9.96/6.69 tff(193,plain,
% 9.96/6.69 (~v1_xboole_0(u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[192, 172, 154])).
% 9.96/6.69 tff(194,plain,
% 9.96/6.69 (~v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[193, 148])).
% 9.96/6.69 tff(195,plain,
% 9.96/6.69 (k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) = k2_group_1(B!1)),
% 9.96/6.69 inference(monotonicity,[status(thm)],[64])).
% 9.96/6.69 tff(196,plain,
% 9.96/6.69 (k2_group_1(B!1) = k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(symmetry,[status(thm)],[195])).
% 9.96/6.69 tff(197,plain,
% 9.96/6.69 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(198,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[197])).
% 9.96/6.69 tff(199,plain,
% 9.96/6.69 (^[A: $i] : refl((v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(200,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[199])).
% 9.96/6.69 tff(201,plain,
% 9.96/6.69 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(202,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[201])).
% 9.96/6.69 tff(203,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(transitivity,[status(thm)],[202, 200])).
% 9.96/6.69 tff(204,plain,
% 9.96/6.69 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) <=> (~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)))), ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> ((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))))), rewrite(((v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))), (((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(205,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[204])).
% 9.96/6.69 tff(206,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(207,plain,
% 9.96/6.69 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))), (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) <=> ((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)))), quant_intro(proof_bind(^[B: $i] : rewrite((m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A))) <=> ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))), (![B: $i] : (m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A))) <=> ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A)))) <=> (((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))))), rewrite((((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)) => ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A)))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))), ((((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A)))) <=> ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(208,plain,
% 9.96/6.69 (![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A)))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[207])).
% 9.96/6.69 tff(209,axiom,(![A: $i] : (((((~v3_struct_0(A)) & v3_group_1(A)) & v4_group_1(A)) & l1_group_1(A)) => ![B: $i] : (m1_group_2(B, A) => (k2_group_1(B) = k2_group_1(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t53_group_2')).
% 9.96/6.69 tff(210,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[209, 208])).
% 9.96/6.69 tff(211,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[210, 206])).
% 9.96/6.69 tff(212,plain,(
% 9.96/6.69 ![A: $i] : ((~((~v3_struct_0(A)) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A))) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(skolemize,[status(sab)],[211])).
% 9.96/6.69 tff(213,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[212, 205])).
% 9.96/6.69 tff(214,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))) | (~v3_group_1(A)) | (~v4_group_1(A)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[213, 203])).
% 9.96/6.69 tff(215,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[214, 198])).
% 9.96/6.69 tff(216,plain,
% 9.96/6.69 (((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0))))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(217,plain,
% 9.96/6.69 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))) | (v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0))))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(218,plain,
% 9.96/6.69 ((~![A: $i] : (v3_struct_0(A) | (~l1_group_1(A)) | (~v3_group_1(A)) | (~v4_group_1(A)) | ![B: $i] : ((~m1_group_2(B, A)) | (k2_group_1(B) = k2_group_1(A))))) | v3_struct_0(A!0) | (~l1_group_1(A!0)) | (~v3_group_1(A!0)) | (~v4_group_1(A!0)) | ![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[217, 216])).
% 9.96/6.69 tff(219,plain,
% 9.96/6.69 (![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[218, 34, 33, 87, 32, 215])).
% 9.96/6.69 tff(220,plain,
% 9.96/6.69 (((~![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))) | ((~m1_group_2(B!1, A!0)) | (k2_group_1(B!1) = k2_group_1(A!0)))) <=> ((~![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))) | (~m1_group_2(B!1, A!0)) | (k2_group_1(B!1) = k2_group_1(A!0)))),
% 9.96/6.69 inference(rewrite,[status(thm)],[])).
% 9.96/6.69 tff(221,plain,
% 9.96/6.69 ((~![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))) | ((~m1_group_2(B!1, A!0)) | (k2_group_1(B!1) = k2_group_1(A!0)))),
% 9.96/6.69 inference(quant_inst,[status(thm)],[])).
% 9.96/6.69 tff(222,plain,
% 9.96/6.69 ((~![B: $i] : ((~m1_group_2(B, A!0)) | (k2_group_1(B) = k2_group_1(A!0)))) | (~m1_group_2(B!1, A!0)) | (k2_group_1(B!1) = k2_group_1(A!0))),
% 9.96/6.69 inference(modus_ponens,[status(thm)],[221, 220])).
% 9.96/6.69 tff(223,plain,
% 9.96/6.69 (k2_group_1(B!1) = k2_group_1(A!0)),
% 9.96/6.69 inference(unit_resolution,[status(thm)],[222, 41, 219])).
% 9.96/6.69 tff(224,plain,
% 9.96/6.69 (k2_group_1(A!0) = k2_group_1(B!1)),
% 9.96/6.69 inference(symmetry,[status(thm)],[223])).
% 9.96/6.69 tff(225,plain,
% 9.96/6.69 (k2_group_1(A!0) = k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))),
% 9.96/6.69 inference(transitivity,[status(thm)],[224, 196])).
% 9.96/6.69 tff(226,plain,
% 9.96/6.69 (m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)) <=> m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.69 inference(monotonicity,[status(thm)],[225, 145])).
% 9.96/6.69 tff(227,plain,
% 9.96/6.69 (m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) <=> m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))),
% 9.96/6.69 inference(symmetry,[status(thm)],[226])).
% 9.96/6.69 tff(228,plain,
% 9.96/6.69 (^[A: $i] : refl((v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A))) <=> (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(229,plain,
% 9.96/6.69 (![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A))) <=> ![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[228])).
% 9.96/6.69 tff(230,plain,
% 9.96/6.69 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_group_1(A)) <=> (~(v3_struct_0(A) | (~l1_group_1(A))))), ((~((~v3_struct_0(A)) & l1_group_1(A))) <=> (~(~(v3_struct_0(A) | (~l1_group_1(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_group_1(A))))) <=> (v3_struct_0(A) | (~l1_group_1(A)))), ((~((~v3_struct_0(A)) & l1_group_1(A))) <=> (v3_struct_0(A) | (~l1_group_1(A))))), (((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> ((v3_struct_0(A) | (~l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))))), rewrite(((v3_struct_0(A) | (~l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))), (((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))))),
% 9.96/6.69 inference(bind,[status(th)],[])).
% 9.96/6.69 tff(231,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> ![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))),
% 9.96/6.69 inference(quant_intro,[status(thm)],[230])).
% 9.96/6.69 tff(232,plain,
% 9.96/6.69 (![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A)))),
% 9.96/6.70 inference(rewrite,[status(thm)],[])).
% 9.96/6.70 tff(233,plain,
% 9.96/6.70 (^[A: $i] : rewrite((((~v3_struct_0(A)) & l1_group_1(A)) => m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A))))),
% 9.96/6.70 inference(bind,[status(th)],[])).
% 9.96/6.70 tff(234,plain,
% 9.96/6.70 (![A: $i] : (((~v3_struct_0(A)) & l1_group_1(A)) => m1_subset_1(k2_group_1(A), u1_struct_0(A))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A)))),
% 9.96/6.70 inference(quant_intro,[status(thm)],[233])).
% 9.96/6.70 tff(235,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_group_1(A)) => m1_subset_1(k2_group_1(A), u1_struct_0(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k2_group_1')).
% 9.96/6.70 tff(236,plain,
% 9.96/6.70 (![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A)))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[235, 234])).
% 9.96/6.70 tff(237,plain,
% 9.96/6.70 (![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A)))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[236, 232])).
% 9.96/6.70 tff(238,plain,(
% 9.96/6.70 ![A: $i] : ((~((~v3_struct_0(A)) & l1_group_1(A))) | m1_subset_1(k2_group_1(A), u1_struct_0(A)))),
% 9.96/6.70 inference(skolemize,[status(sab)],[237])).
% 9.96/6.70 tff(239,plain,
% 9.96/6.70 (![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[238, 231])).
% 9.96/6.70 tff(240,plain,
% 9.96/6.70 (![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[239, 229])).
% 9.96/6.70 tff(241,plain,
% 9.96/6.70 (((~![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))) <=> ((~![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))) | v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.70 inference(rewrite,[status(thm)],[])).
% 9.96/6.70 tff(242,plain,
% 9.96/6.70 ((~![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))) | (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))))),
% 9.96/6.70 inference(quant_inst,[status(thm)],[])).
% 9.96/6.70 tff(243,plain,
% 9.96/6.70 ((~![A: $i] : (v3_struct_0(A) | m1_subset_1(k2_group_1(A), u1_struct_0(A)) | (~l1_group_1(A)))) | v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[242, 241])).
% 9.96/6.70 tff(244,plain,
% 9.96/6.70 (v3_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))) | m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1)))) | (~l1_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.70 inference(unit_resolution,[status(thm)],[243, 240])).
% 9.96/6.70 tff(245,plain,
% 9.96/6.70 (m1_subset_1(k2_group_1(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))), u1_struct_0(g1_group_1(u1_struct_0(B!1), u1_group_1(B!1))))),
% 9.96/6.70 inference(unit_resolution,[status(thm)],[244, 154, 157])).
% 9.96/6.70 tff(246,plain,
% 9.96/6.70 (m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))),
% 9.96/6.70 inference(modus_ponens,[status(thm)],[245, 227])).
% 9.96/6.70 tff(247,plain,
% 9.96/6.70 (^[A: $i, B: $i] : refl((r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B))) <=> (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B))))),
% 9.96/6.71 inference(bind,[status(th)],[])).
% 9.96/6.71 tff(248,plain,
% 9.96/6.71 (![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B))) <=> ![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(quant_intro,[status(thm)],[247])).
% 9.96/6.71 tff(249,plain,
% 9.96/6.71 (![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B))) <=> ![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(rewrite,[status(thm)],[])).
% 9.96/6.71 tff(250,plain,
% 9.96/6.71 (^[A: $i, B: $i] : rewrite((m1_subset_1(A, B) => (v1_xboole_0(B) | r2_hidden(A, B))) <=> (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B))))),
% 9.96/6.71 inference(bind,[status(th)],[])).
% 9.96/6.71 tff(251,plain,
% 9.96/6.71 (![A: $i, B: $i] : (m1_subset_1(A, B) => (v1_xboole_0(B) | r2_hidden(A, B))) <=> ![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(quant_intro,[status(thm)],[250])).
% 9.96/6.71 tff(252,axiom,(![A: $i, B: $i] : (m1_subset_1(A, B) => (v1_xboole_0(B) | r2_hidden(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t2_subset')).
% 9.96/6.71 tff(253,plain,
% 9.96/6.71 (![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(modus_ponens,[status(thm)],[252, 251])).
% 9.96/6.71 tff(254,plain,
% 9.96/6.71 (![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(modus_ponens,[status(thm)],[253, 249])).
% 9.96/6.71 tff(255,plain,(
% 9.96/6.71 ![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(skolemize,[status(sab)],[254])).
% 9.96/6.71 tff(256,plain,
% 9.96/6.71 (![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))),
% 9.96/6.71 inference(modus_ponens,[status(thm)],[255, 248])).
% 9.96/6.71 tff(257,plain,
% 9.96/6.71 (~r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))),
% 9.96/6.71 inference(or_elim,[status(thm)],[39])).
% 9.96/6.71 tff(258,plain,
% 9.96/6.71 (((~![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))) | (r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)) | v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) | (~m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))) <=> ((~![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)) | v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) | (~m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))),
% 9.96/6.71 inference(rewrite,[status(thm)],[])).
% 9.96/6.71 tff(259,plain,
% 9.96/6.71 ((~![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))) | (r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)) | v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) | (~m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1))))),
% 9.96/6.71 inference(quant_inst,[status(thm)],[])).
% 9.96/6.71 tff(260,plain,
% 9.96/6.71 ((~![A: $i, B: $i] : (r2_hidden(A, B) | v1_xboole_0(B) | (~m1_subset_1(A, B)))) | r2_hidden(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)) | v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) | (~m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))),
% 9.96/6.71 inference(modus_ponens,[status(thm)],[259, 258])).
% 9.96/6.71 tff(261,plain,
% 9.96/6.71 (v1_xboole_0(k1_funct_1(k1_latsubgr(A!0), B!1)) | (~m1_subset_1(k2_group_1(A!0), k1_funct_1(k1_latsubgr(A!0), B!1)))),
% 9.96/6.71 inference(unit_resolution,[status(thm)],[260, 257, 256])).
% 9.96/6.71 tff(262,plain,
% 9.96/6.71 ($false),
% 9.96/6.71 inference(unit_resolution,[status(thm)],[261, 246, 194])).
% 9.96/6.71 % SZS output end Proof
%------------------------------------------------------------------------------