TSTP Solution File: GRP325-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 00:59:20 EDT 2023
% Result : Unsatisfiable 7.98s 1.69s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of clauses : 164 ( 41 unt; 76 nHn; 137 RR)
% Number of literals : 385 ( 344 equ; 157 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
multiply(sk_c9,sk_c10) = sk_c8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_90,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_95,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| multiply(X1,sk_c10) != X2
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c10) != X6
| multiply(sk_c10,X2) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X1) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(X5) != X6
| inverse(X6) != sk_c10
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_97,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_98,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(multiply(X1,sk_c10)) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != sk_c10
| inverse(X1) != multiply(X1,sk_c10)
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_104,plain,
( multiply(X4,sk_c8) != sk_c9
| multiply(X3,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| inverse(multiply(X1,sk_c10)) != sk_c10
| multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != sk_c10
| inverse(X1) != multiply(X1,sk_c10)
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_99,c_49,c_99]) ).
cnf(c_105,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(multiply(X1,sk_c10)) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != sk_c10
| inverse(X1) != multiply(X1,sk_c10)
| inverse(X2) != sk_c9
| inverse(X3) != sk_c10
| inverse(X4) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(renaming,[status(thm)],[c_104]) ).
cnf(c_525,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_105]) ).
cnf(c_526,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_105]) ).
cnf(c_527,negated_conjecture,
( inverse(X0) != multiply(X0,sk_c10)
| inverse(multiply(X0,sk_c10)) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_105]) ).
cnf(c_528,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_105]) ).
cnf(c_529,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_105]) ).
cnf(c_530,negated_conjecture,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_105]) ).
cnf(c_531,plain,
X0 = X0,
theory(equality) ).
cnf(c_532,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_537,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_531]) ).
cnf(c_1037,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_96,c_525]) ).
cnf(c_1087,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_97,c_526]) ).
cnf(c_1163,plain,
( inverse(sk_c10) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_528]) ).
cnf(c_1168,plain,
( inverse(sk_c5) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_64,c_528]) ).
cnf(c_1222,plain,
( multiply(sk_c10,identity) != sk_c9
| inverse(inverse(sk_c10)) != sk_c10
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_97,c_529]) ).
cnf(c_1301,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_532]) ).
cnf(c_1309,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1301]) ).
cnf(c_1310,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_531]) ).
cnf(c_1311,plain,
( sk_c9 != sk_c9
| sk_c10 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1309]) ).
cnf(c_1424,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_532]) ).
cnf(c_1433,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_532]) ).
cnf(c_1450,plain,
multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_49,c_98]) ).
cnf(c_1487,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_97,c_98]) ).
cnf(c_1821,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1487,c_96]) ).
cnf(c_1832,plain,
multiply(inverse(sk_c9),sk_c8) = sk_c10,
inference(superposition,[status(thm)],[c_49,c_1821]) ).
cnf(c_1836,plain,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_54,c_1821]) ).
cnf(c_1837,plain,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| inverse(sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_52,c_1821]) ).
cnf(c_1838,plain,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_1821]) ).
cnf(c_1849,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_91,c_1821]) ).
cnf(c_1850,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_64,c_1821]) ).
cnf(c_1865,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c10
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_1821]) ).
cnf(c_1867,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_78,c_1821]) ).
cnf(c_1868,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_96,c_1821]) ).
cnf(c_1869,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_97,c_1821]) ).
cnf(c_1870,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_98,c_1821]) ).
cnf(c_1882,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1821,c_1821]) ).
cnf(c_2187,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c9 != sk_c10
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1832,c_528]) ).
cnf(c_2205,plain,
( inverse(multiply(inverse(identity),sk_c10)) != sk_c10
| inverse(inverse(identity)) != sk_c10
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1868,c_527]) ).
cnf(c_2571,plain,
( multiply(sk_c9,sk_c10) = sk_c9
| inverse(sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_1837]) ).
cnf(c_2577,plain,
( inverse(sk_c9) = sk_c8
| sk_c9 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_2571,c_49]) ).
cnf(c_2703,plain,
( multiply(sk_c8,sk_c8) = sk_c10
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_2577,c_1832]) ).
cnf(c_2823,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1869,c_1882]) ).
cnf(c_2833,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2823,c_1868]) ).
cnf(c_2873,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1882,c_97]) ).
cnf(c_2880,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1882,c_1821]) ).
cnf(c_2881,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1882,c_2823]) ).
cnf(c_2882,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2881,c_2823]) ).
cnf(c_2922,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_2882]) ).
cnf(c_3124,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_90,c_1849]) ).
cnf(c_3212,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_87,c_2873]) ).
cnf(c_3213,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_2873]) ).
cnf(c_3228,plain,
multiply(sk_c8,inverse(sk_c10)) = multiply(sk_c9,identity),
inference(superposition,[status(thm)],[c_2873,c_1450]) ).
cnf(c_3287,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c9
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_3124,c_1821]) ).
cnf(c_3291,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_3287,c_1832]) ).
cnf(c_3312,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3212,c_86]) ).
cnf(c_3344,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3312,c_2873]) ).
cnf(c_3362,plain,
( inverse(sk_c8) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_2577,c_2882]) ).
cnf(c_3537,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != sk_c10
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_2880,c_529]) ).
cnf(c_3566,plain,
( sk_c9 != sk_c10
| ~ sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_2882]) ).
cnf(c_3594,plain,
( multiply(sk_c10,sk_c3) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_1309]) ).
cnf(c_3605,plain,
multiply(sk_c8,inverse(sk_c10)) = sk_c9,
inference(demodulation,[status(thm)],[c_3228,c_2823]) ).
cnf(c_3606,plain,
multiply(inverse(sk_c8),sk_c9) = inverse(sk_c10),
inference(superposition,[status(thm)],[c_3605,c_1821]) ).
cnf(c_4252,plain,
multiply(inverse(sk_c8),multiply(sk_c9,X0)) = multiply(inverse(sk_c10),X0),
inference(superposition,[status(thm)],[c_3606,c_98]) ).
cnf(c_4264,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_3291,c_2873]) ).
cnf(c_4389,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3213,c_59]) ).
cnf(c_4449,plain,
( inverse(sk_c9) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4389,c_2882]) ).
cnf(c_4450,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4389,c_2873]) ).
cnf(c_4917,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_97,c_98]) ).
cnf(c_5158,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_1850]) ).
cnf(c_5202,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_5158,c_1821]) ).
cnf(c_5208,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_5202,c_1832]) ).
cnf(c_5814,plain,
( X0 != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1424]) ).
cnf(c_5815,plain,
( X0 != multiply(sk_c10,sk_c3)
| sk_c9 != multiply(sk_c10,sk_c3)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1301]) ).
cnf(c_5818,plain,
( sk_c9 != multiply(sk_c10,sk_c3)
| sk_c10 != multiply(sk_c10,sk_c3)
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_5815]) ).
cnf(c_5819,plain,
( sk_c9 != multiply(sk_c10,sk_c3)
| sk_c10 != multiply(sk_c10,sk_c3)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_5814]) ).
cnf(c_5935,plain,
( multiply(sk_c1,sk_c8) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4449,c_1832]) ).
cnf(c_5980,plain,
( multiply(sk_c9,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_5208,c_1838]) ).
cnf(c_5982,plain,
( multiply(sk_c9,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c9
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_5208,c_1836]) ).
cnf(c_5987,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_5208,c_2873]) ).
cnf(c_6008,plain,
( inverse(sk_c5) = sk_c9
| sk_c9 = sk_c10
| sk_c9 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_5982,c_49]) ).
cnf(c_6016,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = sk_c10
| sk_c9 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_5980,c_49]) ).
cnf(c_6028,plain,
( multiply(sk_c10,sk_c3) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_1433]) ).
cnf(c_6029,plain,
( multiply(sk_c10,sk_c3) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c10,sk_c3) ),
inference(instantiation,[status(thm)],[c_6028]) ).
cnf(c_6537,plain,
( inverse(sk_c8) != sk_c9
| sk_c9 != sk_c10
| ~ sP3_iProver_split
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_2703,c_528]) ).
cnf(c_6689,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_4917,c_96]) ).
cnf(c_6736,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_96,c_6689]) ).
cnf(c_6737,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_97,c_6689]) ).
cnf(c_6750,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6689,c_6689]) ).
cnf(c_6847,plain,
( multiply(sk_c10,sk_c3) = sk_c10
| inverse(sk_c5) = sk_c9
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_3291,c_1865]) ).
cnf(c_7034,plain,
( multiply(sk_c10,sk_c3) = sk_c10
| inverse(sk_c4) = sk_c10
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_3291,c_1867]) ).
cnf(c_7472,plain,
( multiply(inverse(sk_c2),identity) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3344,c_1821]) ).
cnf(c_7618,plain,
( sk_c9 != sk_c10
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1037,c_2833]) ).
cnf(c_7976,plain,
multiply(inverse(sk_c10),inverse(sk_c9)) = multiply(inverse(sk_c8),identity),
inference(superposition,[status(thm)],[c_2873,c_4252]) ).
cnf(c_8277,plain,
( ~ sP3_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1163,c_63,c_1168]) ).
cnf(c_10743,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_6737,c_6750]) ).
cnf(c_10753,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_10743,c_6736]) ).
cnf(c_11108,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4450,c_51]) ).
cnf(c_13295,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2873,c_1870]) ).
cnf(c_13328,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_13295,c_2823]) ).
cnf(c_16551,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sk_c10
| ~ sP3_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5935,c_528]) ).
cnf(c_20268,plain,
( sk_c9 = sk_c10
| inverse(sk_c5) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_6008,c_72,c_537,c_1310,c_3594,c_5818,c_6029,c_6847]) ).
cnf(c_20269,plain,
( inverse(sk_c5) = sk_c9
| sk_c9 = sk_c10 ),
inference(renaming,[status(thm)],[c_20268]) ).
cnf(c_20280,plain,
( inverse(sk_c9) = sk_c5
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_20269,c_2882]) ).
cnf(c_20315,plain,
( sk_c9 = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_6016,c_69,c_537,c_1311,c_1310,c_3594,c_5819,c_6029,c_7034]) ).
cnf(c_20316,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = sk_c10 ),
inference(renaming,[status(thm)],[c_20315]) ).
cnf(c_20328,plain,
( multiply(sk_c4,sk_c10) = identity
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_20316,c_2873]) ).
cnf(c_21113,plain,
( multiply(sk_c5,sk_c8) = sk_c10
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_20280,c_1832]) ).
cnf(c_23909,plain,
( multiply(sk_c4,sk_c10) = identity
| sk_c9 = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_11108,c_2873]) ).
cnf(c_24466,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1087,c_1087,c_2922]) ).
cnf(c_25029,plain,
multiply(inverse(sk_c10),inverse(sk_c9)) = inverse(sk_c8),
inference(superposition,[status(thm)],[c_1832,c_13328]) ).
cnf(c_27127,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_97,c_98]) ).
cnf(c_27288,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_27127,c_96]) ).
cnf(c_27311,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_59,c_27288]) ).
cnf(c_27466,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c10
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_96,c_525]) ).
cnf(c_27469,plain,
( sk_c9 != sk_c10
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_27466,c_10753]) ).
cnf(c_27608,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_96,c_528]) ).
cnf(c_27611,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_27608,c_10753]) ).
cnf(c_28154,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_27311]) ).
cnf(c_28171,plain,
( inverse(sk_c10) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_28154,c_525]) ).
cnf(c_31674,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_28171,c_4389,c_5208,c_27469]) ).
cnf(c_34038,plain,
( multiply(sk_c2,sk_c10) = sk_c3
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_21113,c_82]) ).
cnf(c_34039,plain,
( multiply(sk_c10,sk_c3) = sk_c9
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_21113,c_73]) ).
cnf(c_34040,plain,
( multiply(sk_c1,sk_c9) = sk_c10
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_21113,c_55]) ).
cnf(c_34140,plain,
( sk_c9 = sk_c10
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_34038,c_4264]) ).
cnf(c_34265,plain,
( sk_c9 = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_34040,c_5987]) ).
cnf(c_34269,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_34040,c_525]) ).
cnf(c_34403,plain,
( ~ sP0_iProver_split
| sk_c9 = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_34269,c_31674,c_34269]) ).
cnf(c_34409,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_7618,c_34403]) ).
cnf(c_34565,plain,
( sk_c9 != sk_c10
| ~ sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2187,c_3362,c_6537,c_8277,c_16551,c_27611]) ).
cnf(c_34844,plain,
( multiply(sk_c10,identity) = sk_c9
| sk_c9 = sk_c10 ),
inference(superposition,[status(thm)],[c_34140,c_34039]) ).
cnf(c_34971,plain,
( ~ sP4_iProver_split
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_34265,c_3566]) ).
cnf(c_36289,plain,
~ sP4_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_34971,c_1222,c_2922,c_3566,c_34844]) ).
cnf(c_36291,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_530,c_36289]) ).
cnf(c_36902,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_36291,c_34565,c_34409,c_34265,c_25029,c_24466,c_23909,c_20328,c_7976,c_7472,c_4450,c_3606,c_3605,c_3344,c_3228,c_10753,c_2205,c_1832,c_86,c_77,c_68,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 : Mon Aug 28 20:05:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.98/1.69 % SZS status Started for theBenchmark.p
% 7.98/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.98/1.69
% 7.98/1.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.98/1.69
% 7.98/1.69 ------ iProver source info
% 7.98/1.69
% 7.98/1.69 git: date: 2023-05-31 18:12:56 +0000
% 7.98/1.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.98/1.69 git: non_committed_changes: false
% 7.98/1.69 git: last_make_outside_of_git: false
% 7.98/1.69
% 7.98/1.69 ------ Parsing...successful
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.98/1.69
% 7.98/1.69 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.98/1.69
% 7.98/1.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.98/1.69 ------ Proving...
% 7.98/1.69 ------ Problem Properties
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69 clauses 55
% 7.98/1.69 conjectures 52
% 7.98/1.69 EPR 0
% 7.98/1.69 Horn 9
% 7.98/1.69 unary 4
% 7.98/1.69 binary 45
% 7.98/1.69 lits 116
% 7.98/1.69 lits eq 106
% 7.98/1.69 fd_pure 0
% 7.98/1.69 fd_pseudo 0
% 7.98/1.69 fd_cond 0
% 7.98/1.69 fd_pseudo_cond 0
% 7.98/1.69 AC symbols 0
% 7.98/1.69
% 7.98/1.69 ------ Schedule dynamic 5 is on
% 7.98/1.69
% 7.98/1.69 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69 ------
% 7.98/1.69 Current options:
% 7.98/1.69 ------
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69 ------ Proving...
% 7.98/1.69
% 7.98/1.69
% 7.98/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 7.98/1.69
% 7.98/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.98/1.69
% 7.98/1.70
%------------------------------------------------------------------------------