TSTP Solution File: GRP245-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:58:54 EDT 2023
% Result : Unsatisfiable 3.71s 1.16s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of clauses : 144 ( 36 unt; 58 nHn; 132 RR)
% Number of literals : 310 ( 249 equ; 135 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 40 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_91,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c8) != sk_c9
| inverse(X0) != X1
| inverse(X2) != sk_c10
| inverse(X3) != sk_c9
| inverse(X4) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c8) != sk_c9
| inverse(X1) != sk_c10
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c9 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_95]) ).
cnf(c_493,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_95]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_95]) ).
cnf(c_495,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_95]) ).
cnf(c_496,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_95]) ).
cnf(c_497,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_975,plain,
( inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_78,c_492]) ).
cnf(c_976,plain,
( inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_71,c_492]) ).
cnf(c_977,plain,
( inverse(sk_c4) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_57,c_492]) ).
cnf(c_985,plain,
( inverse(sk_c3) != sk_c10
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_492]) ).
cnf(c_1060,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_493]) ).
cnf(c_1129,plain,
( inverse(sk_c1) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_49,c_494]) ).
cnf(c_1131,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_494]) ).
cnf(c_1161,plain,
( inverse(sk_c5) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_495]) ).
cnf(c_1162,plain,
( inverse(sk_c5) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_495]) ).
cnf(c_1167,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_92,c_495]) ).
cnf(c_1219,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| sk_c9 != identity
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_93,c_496]) ).
cnf(c_1332,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_1551,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1332,c_92]) ).
cnf(c_1570,plain,
( multiply(inverse(sk_c4),sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_57,c_1551]) ).
cnf(c_1572,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1551]) ).
cnf(c_1574,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_1551]) ).
cnf(c_1575,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_73,c_1551]) ).
cnf(c_1576,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_59,c_1551]) ).
cnf(c_1594,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_1551]) ).
cnf(c_1595,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_1551]) ).
cnf(c_1606,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1551,c_1551]) ).
cnf(c_1879,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1595,c_1606]) ).
cnf(c_1887,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1879,c_1594]) ).
cnf(c_1932,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1606,c_93]) ).
cnf(c_1935,plain,
( inverse(inverse(inverse(X0))) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_1606,c_492]) ).
cnf(c_1938,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1606,c_1879]) ).
cnf(c_1939,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1938,c_1879]) ).
cnf(c_1974,plain,
( multiply(inverse(X0),sk_c8) != sk_c9
| sk_c9 != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_496,c_1932]) ).
cnf(c_1993,plain,
( multiply(inverse(sk_c9),sk_c8) != sk_c9
| sk_c9 != identity
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_1974]) ).
cnf(c_2529,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_77,c_1932]) ).
cnf(c_2530,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_70,c_1932]) ).
cnf(c_2531,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_56,c_1932]) ).
cnf(c_2537,plain,
( multiply(sk_c6,sk_c7) = identity
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_61,c_1932]) ).
cnf(c_2940,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_2529,c_494]) ).
cnf(c_2954,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_2530,c_494]) ).
cnf(c_2968,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_2531,c_494]) ).
cnf(c_3439,plain,
( inverse(sk_c1) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2537,c_60]) ).
cnf(c_3452,plain,
( multiply(sk_c1,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3439,c_1932]) ).
cnf(c_4135,plain,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_56,c_1570]) ).
cnf(c_4165,plain,
( inverse(sk_c10) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_4135,c_494]) ).
cnf(c_4183,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_1574]) ).
cnf(c_4240,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c9
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_4183,c_1551]) ).
cnf(c_4242,plain,
( inverse(sk_c9) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(superposition,[status(thm)],[c_4183,c_493]) ).
cnf(c_4265,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_72,c_1575]) ).
cnf(c_5107,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_4265,c_1551]) ).
cnf(c_5109,plain,
( inverse(sk_c9) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_4265,c_493]) ).
cnf(c_5130,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_58,c_1576]) ).
cnf(c_5165,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_5130,c_1551]) ).
cnf(c_5167,plain,
( inverse(sk_c9) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_5130,c_493]) ).
cnf(c_6594,plain,
( inverse(sk_c6) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3452,c_54]) ).
cnf(c_6619,plain,
( multiply(sk_c6,sk_c7) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6594,c_1932]) ).
cnf(c_6829,plain,
( ~ sP0_iProver_split
| inverse(sk_c3) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_975,c_77,c_975]) ).
cnf(c_7123,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_977,c_985,c_977,c_6829]) ).
cnf(c_7263,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1060,c_1887]) ).
cnf(c_7295,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1129,c_56,c_1129]) ).
cnf(c_7668,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1167,c_1887]) ).
cnf(c_7839,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6619,c_53]) ).
cnf(c_7965,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_3452,c_7839]) ).
cnf(c_7970,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7668,c_7965]) ).
cnf(c_7971,plain,
( sk_c9 != sk_c8
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7263,c_7965]) ).
cnf(c_8060,plain,
( multiply(sk_c4,identity) = sk_c10
| multiply(sk_c3,identity) = sk_c10 ),
inference(demodulation,[status(thm)],[c_85,c_7965]) ).
cnf(c_8072,plain,
( multiply(sk_c3,identity) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_84,c_7965]) ).
cnf(c_8082,plain,
( multiply(sk_c2,identity) = sk_c8
| inverse(sk_c5) = identity ),
inference(demodulation,[status(thm)],[c_65,c_7965]) ).
cnf(c_8550,plain,
( sk_c8 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_7970,c_7965]) ).
cnf(c_8555,plain,
( sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_7971,c_7965]) ).
cnf(c_8588,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c3 ),
inference(demodulation,[status(thm)],[c_8072,c_1879]) ).
cnf(c_8595,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = sk_c3 ),
inference(superposition,[status(thm)],[c_8588,c_1939]) ).
cnf(c_8875,plain,
( inverse(sk_c5) = identity
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_8082,c_1879]) ).
cnf(c_9236,plain,
( sk_c10 = sk_c4
| sk_c10 = sk_c3 ),
inference(demodulation,[status(thm)],[c_8060,c_1879]) ).
cnf(c_10389,plain,
( multiply(inverse(sk_c5),identity) = sk_c8
| multiply(sk_c2,identity) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1572,c_7965]) ).
cnf(c_10390,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c2 ),
inference(demodulation,[status(thm)],[c_10389,c_1879]) ).
cnf(c_10406,plain,
( sk_c8 = sk_c2
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_10390,c_8875]) ).
cnf(c_12495,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_4165,c_2968,c_7295,c_7965]) ).
cnf(c_12501,plain,
( inverse(sk_c9) != sk_c9
| inverse(sk_c3) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_4242,c_79,c_77,c_497,c_975,c_1161,c_1993,c_2940,c_4240,c_4242,c_7965]) ).
cnf(c_12503,plain,
( identity != identity
| inverse(sk_c3) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_12501,c_1887,c_7965]) ).
cnf(c_12504,plain,
inverse(sk_c3) = sk_c10,
inference(equality_resolution_simp,[status(thm)],[c_12503]) ).
cnf(c_12531,plain,
multiply(sk_c10,sk_c3) = identity,
inference(superposition,[status(thm)],[c_12504,c_93]) ).
cnf(c_12565,plain,
( inverse(sk_c9) != sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_5109,c_72,c_70,c_497,c_976,c_1162,c_1993,c_2954,c_5107,c_5109,c_7965]) ).
cnf(c_12567,plain,
( identity != identity
| inverse(sk_c2) = identity ),
inference(light_normalisation,[status(thm)],[c_12565,c_1887,c_7965]) ).
cnf(c_12568,plain,
inverse(sk_c2) = identity,
inference(equality_resolution_simp,[status(thm)],[c_12567]) ).
cnf(c_12584,plain,
inverse(identity) = sk_c2,
inference(superposition,[status(thm)],[c_12568,c_1939]) ).
cnf(c_12587,plain,
sk_c2 = identity,
inference(light_normalisation,[status(thm)],[c_12584,c_1887]) ).
cnf(c_12592,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_10406,c_12587]) ).
cnf(c_12632,plain,
~ sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8555,c_12592]) ).
cnf(c_12633,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_8550,c_12592]) ).
cnf(c_12645,plain,
( sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_497,c_12632]) ).
cnf(c_12650,plain,
( sP0_iProver_split
| sP2_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12645,c_12633]) ).
cnf(c_12673,plain,
inverse(sk_c1) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_5167,c_497,c_1993,c_5165,c_7123,c_7965,c_12495,c_12633,c_12632]) ).
cnf(c_12688,plain,
inverse(sk_c10) = sk_c1,
inference(superposition,[status(thm)],[c_12673,c_1939]) ).
cnf(c_12690,plain,
multiply(sk_c10,sk_c1) = identity,
inference(superposition,[status(thm)],[c_12673,c_93]) ).
cnf(c_12697,plain,
multiply(inverse(sk_c10),identity) = sk_c3,
inference(superposition,[status(thm)],[c_12531,c_1551]) ).
cnf(c_12699,plain,
multiply(sk_c1,identity) = sk_c3,
inference(light_normalisation,[status(thm)],[c_12697,c_12688]) ).
cnf(c_12702,plain,
multiply(inverse(sk_c10),identity) = sk_c1,
inference(superposition,[status(thm)],[c_12690,c_1551]) ).
cnf(c_12704,plain,
sk_c1 = sk_c3,
inference(light_normalisation,[status(thm)],[c_12702,c_12688,c_12699]) ).
cnf(c_12710,plain,
( sk_c1 = sk_c10
| sk_c10 = sk_c4 ),
inference(demodulation,[status(thm)],[c_9236,c_12704]) ).
cnf(c_12847,plain,
( inverse(inverse(sk_c10)) != sk_c10
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1131,c_1131,c_7965]) ).
cnf(c_12849,plain,
( sk_c10 != sk_c10
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_12847,c_12673,c_12688]) ).
cnf(c_12850,plain,
~ sP2_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_12849]) ).
cnf(c_12851,plain,
( sP0_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12650,c_12850]) ).
cnf(c_13147,plain,
( sk_c1 = sk_c10
| sk_c1 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_8595,c_12688,c_12704]) ).
cnf(c_13152,plain,
sk_c1 = sk_c10,
inference(superposition,[status(thm)],[c_12710,c_13147]) ).
cnf(c_13165,plain,
inverse(sk_c10) = sk_c10,
inference(demodulation,[status(thm)],[c_12673,c_13152]) ).
cnf(c_13217,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| ~ sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1219,c_1219,c_7965]) ).
cnf(c_13219,plain,
( multiply(identity,identity) != identity
| ~ sP4_iProver_split ),
inference(light_normalisation,[status(thm)],[c_13217,c_1887,c_7965,c_12592]) ).
cnf(c_13220,plain,
( identity != identity
| ~ sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_13219,c_92]) ).
cnf(c_13221,plain,
~ sP4_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_13220]) ).
cnf(c_13222,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_12851,c_13221]) ).
cnf(c_13402,plain,
( multiply(X0,sk_c9) != sk_c10
| inverse(inverse(inverse(X0))) != sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1935,c_1935,c_13222]) ).
cnf(c_13403,plain,
( inverse(inverse(inverse(X0))) != sk_c10
| multiply(X0,sk_c9) != sk_c10 ),
inference(renaming,[status(thm)],[c_13402]) ).
cnf(c_13405,plain,
( inverse(X0) != sk_c10
| X0 != sk_c10 ),
inference(light_normalisation,[status(thm)],[c_13403,c_1879,c_1939,c_7965]) ).
cnf(c_13409,plain,
sk_c10 != sk_c10,
inference(superposition,[status(thm)],[c_13165,c_13405]) ).
cnf(c_13411,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_13409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:16:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.71/1.16 % SZS status Started for theBenchmark.p
% 3.71/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.16
% 3.71/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.71/1.16
% 3.71/1.16 ------ iProver source info
% 3.71/1.16
% 3.71/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.71/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.71/1.16 git: non_committed_changes: false
% 3.71/1.16 git: last_make_outside_of_git: false
% 3.71/1.16
% 3.71/1.16 ------ Parsing...successful
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.71/1.16
% 3.71/1.16 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.71/1.16
% 3.71/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.71/1.16 ------ Proving...
% 3.71/1.16 ------ Problem Properties
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16 clauses 51
% 3.71/1.16 conjectures 48
% 3.71/1.16 EPR 1
% 3.71/1.16 Horn 8
% 3.71/1.16 unary 3
% 3.71/1.16 binary 42
% 3.71/1.16 lits 107
% 3.71/1.16 lits eq 97
% 3.71/1.16 fd_pure 0
% 3.71/1.16 fd_pseudo 0
% 3.71/1.16 fd_cond 0
% 3.71/1.16 fd_pseudo_cond 0
% 3.71/1.16 AC symbols 0
% 3.71/1.16
% 3.71/1.16 ------ Schedule dynamic 5 is on
% 3.71/1.16
% 3.71/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16 ------
% 3.71/1.16 Current options:
% 3.71/1.16 ------
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16 ------ Proving...
% 3.71/1.16
% 3.71/1.16
% 3.71/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.16
% 3.71/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.17
% 3.71/1.17
%------------------------------------------------------------------------------