TSTP Solution File: GRP280-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 00:59:06 EDT 2023
% Result : Unsatisfiable 8.13s 1.66s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of clauses : 145 ( 26 unt; 94 nHn; 119 RR)
% Number of literals : 316 ( 284 equ; 82 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 55 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c9,X4) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,inverse(X1)) != sk_c9
| multiply(inverse(X1),sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_430,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_431,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_89]) ).
cnf(c_432,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_433,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_89]) ).
cnf(c_434,negated_conjecture,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(sk_c9,sk_c7) != sk_c8
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_840,plain,
( multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_88]) ).
cnf(c_843,plain,
( multiply(sk_c9,multiply(sk_c3,X0)) = multiply(sk_c8,X0)
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_88]) ).
cnf(c_853,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_978,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_853,c_86]) ).
cnf(c_997,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_978]) ).
cnf(c_998,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_978]) ).
cnf(c_1002,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_978]) ).
cnf(c_1004,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_978]) ).
cnf(c_1006,plain,
( multiply(inverse(sk_c9),sk_c8) = sk_c3
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_978]) ).
cnf(c_1011,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_74,c_978]) ).
cnf(c_1012,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_978]) ).
cnf(c_1013,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_978]) ).
cnf(c_1014,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_75,c_978]) ).
cnf(c_1015,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_978]) ).
cnf(c_1016,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_978]) ).
cnf(c_1017,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_88,c_978]) ).
cnf(c_1022,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_978,c_978]) ).
cnf(c_1183,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1016,c_1022]) ).
cnf(c_1191,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1183,c_1015]) ).
cnf(c_1208,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1022,c_87]) ).
cnf(c_1209,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1022,c_978]) ).
cnf(c_1210,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1022,c_1183]) ).
cnf(c_1211,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1210,c_1183]) ).
cnf(c_1239,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_1211]) ).
cnf(c_1240,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_63,c_1211]) ).
cnf(c_1241,plain,
( inverse(sk_c9) = sk_c2
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_1211]) ).
cnf(c_1275,plain,
( inverse(sk_c1) != sk_c9
| ~ sP0_iProver_split
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_430]) ).
cnf(c_1287,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_430]) ).
cnf(c_1290,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1287,c_1191]) ).
cnf(c_1397,plain,
( inverse(sk_c6) != sk_c9
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_432]) ).
cnf(c_1411,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_432]) ).
cnf(c_1412,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_432]) ).
cnf(c_1414,plain,
( sk_c9 != sk_c7
| sk_c9 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1411,c_1191]) ).
cnf(c_1424,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1412,c_1211]) ).
cnf(c_1569,plain,
( multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c6) != sk_c9
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_433]) ).
cnf(c_1577,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP3_iProver_split
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_433]) ).
cnf(c_1846,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_1929,plain,
( multiply(inverse(X0),sk_c8) != sk_c9
| sk_c9 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_431,c_1208]) ).
cnf(c_1936,plain,
( sk_c9 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_1929]) ).
cnf(c_1959,plain,
( multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c6) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_54,c_434]) ).
cnf(c_2047,plain,
( multiply(sk_c4,sk_c5) = identity
| inverse(sk_c9) = sk_c1 ),
inference(superposition,[status(thm)],[c_1240,c_1208]) ).
cnf(c_2048,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c9) = sk_c2 ),
inference(superposition,[status(thm)],[c_1241,c_1208]) ).
cnf(c_2049,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c9) = sk_c1 ),
inference(superposition,[status(thm)],[c_1239,c_1208]) ).
cnf(c_2050,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_1208]) ).
cnf(c_2051,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_63,c_1208]) ).
cnf(c_2052,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_1208]) ).
cnf(c_2059,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1208,c_88]) ).
cnf(c_2157,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1209,c_433]) ).
cnf(c_2178,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2157,c_1211]) ).
cnf(c_2249,plain,
( inverse(sk_c6) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2050,c_60]) ).
cnf(c_2270,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2249,c_1208]) ).
cnf(c_2311,plain,
( inverse(sk_c4) = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2051,c_57]) ).
cnf(c_2331,plain,
( multiply(sk_c4,sk_c5) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_2311,c_1208]) ).
cnf(c_2367,plain,
( inverse(sk_c6) = sk_c9
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2052,c_78]) ).
cnf(c_2393,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_2367,c_1208]) ).
cnf(c_2939,plain,
( multiply(sk_c1,multiply(sk_c9,inverse(sk_c8))) = identity
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_2059]) ).
cnf(c_3206,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1846,c_86]) ).
cnf(c_3244,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_3206]) ).
cnf(c_3250,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3206,c_3206]) ).
cnf(c_3435,plain,
( multiply(inverse(inverse(sk_c6)),sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_998,c_978]) ).
cnf(c_3512,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_1004]) ).
cnf(c_3549,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_3512,c_54]) ).
cnf(c_3587,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_3549,c_1208]) ).
cnf(c_4024,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_1013]) ).
cnf(c_4047,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4024,c_72]) ).
cnf(c_4065,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4047,c_1208]) ).
cnf(c_4068,plain,
( multiply(sk_c9,sk_c6) = identity
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4047,c_87]) ).
cnf(c_4103,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_81,c_1014]) ).
cnf(c_4130,plain,
( inverse(sk_c4) = sk_c5
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4103,c_69]) ).
cnf(c_4151,plain,
( multiply(sk_c4,sk_c5) = identity
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4130,c_1208]) ).
cnf(c_4201,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3244,c_3250]) ).
cnf(c_4328,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3250,c_4201]) ).
cnf(c_4329,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4328,c_4201]) ).
cnf(c_4999,plain,
( multiply(inverse(inverse(sk_c6)),sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_997,c_978]) ).
cnf(c_5331,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_432]) ).
cnf(c_5343,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_5331,c_4329]) ).
cnf(c_5807,plain,
( multiply(inverse(inverse(sk_c2)),sk_c9) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_1011,c_978]) ).
cnf(c_6059,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1208,c_1017]) ).
cnf(c_6134,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6059,c_1183]) ).
cnf(c_7875,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c9 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3587,c_71]) ).
cnf(c_8038,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1397,c_84,c_1397]) ).
cnf(c_8705,plain,
( multiply(inverse(sk_c8),sk_c1) = inverse(sk_c9)
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_6134]) ).
cnf(c_8768,plain,
( multiply(inverse(sk_c9),inverse(sk_c1)) = inverse(sk_c8)
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_1002,c_6134]) ).
cnf(c_8774,plain,
( multiply(inverse(sk_c9),inverse(sk_c2)) = inverse(sk_c3)
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_1011,c_6134]) ).
cnf(c_8782,plain,
( multiply(inverse(identity),sk_c9) = inverse(sk_c6)
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_4068,c_6134]) ).
cnf(c_8836,plain,
( multiply(identity,sk_c9) = inverse(sk_c6)
| sk_c9 = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_8782,c_1191]) ).
cnf(c_10306,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c1) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2047,c_62]) ).
cnf(c_11458,plain,
( inverse(sk_c9) = sk_c2
| inverse(sk_c2) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2048,c_83]) ).
cnf(c_11495,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c1) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2049,c_65]) ).
cnf(c_12589,plain,
( ~ sP0_iProver_split
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1275,c_65,c_1275]) ).
cnf(c_17103,plain,
( multiply(sk_c8,inverse(sk_c9)) = sk_c1
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_8705,c_1209]) ).
cnf(c_18381,plain,
( inverse(sk_c9) = sk_c1
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_10306,c_1211]) ).
cnf(c_18437,plain,
( inverse(sk_c9) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_11458,c_1211]) ).
cnf(c_18507,plain,
( inverse(sk_c9) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_11495,c_1211]) ).
cnf(c_22158,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_18381,c_87]) ).
cnf(c_22270,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18437,c_87]) ).
cnf(c_22408,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_18507,c_87]) ).
cnf(c_23825,plain,
( multiply(sk_c4,sk_c5) = sk_c9
| sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_22158,c_56]) ).
cnf(c_23936,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c7 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_22270,c_77]) ).
cnf(c_24030,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_22408,c_59]) ).
cnf(c_24466,plain,
( sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_23825,c_2331]) ).
cnf(c_24530,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c8,identity) = multiply(sk_c1,sk_c9) ),
inference(superposition,[status(thm)],[c_1183,c_840]) ).
cnf(c_25399,plain,
( sk_c7 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_23936,c_2393]) ).
cnf(c_25437,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_24030,c_2270]) ).
cnf(c_25684,plain,
( multiply(sk_c9,identity) = sk_c8
| sk_c9 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_25399,c_7875]) ).
cnf(c_25833,plain,
( ~ sP2_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_25437,c_1424]) ).
cnf(c_26390,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = multiply(sk_c8,identity) ),
inference(superposition,[status(thm)],[c_1183,c_843]) ).
cnf(c_27083,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_26390,c_25833,c_25684,c_24530,c_24466,c_22408,c_17103,c_12589,c_8836,c_8774,c_8768,c_8038,c_5807,c_4999,c_4151,c_4065,c_4047,c_3549,c_3435,c_2939,c_2178,c_1959,c_1936,c_1577,c_1569,c_5343,c_1414,c_1290,c_1208,c_1191,c_1012,c_1011,c_1006,c_1002,c_434,c_84,c_83,c_80,c_79,c_71,c_68,c_62,c_60,c_59,c_56,c_55,c_53,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 01:55:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.13/1.66 % SZS status Started for theBenchmark.p
% 8.13/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.13/1.66
% 8.13/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.13/1.66
% 8.13/1.66 ------ iProver source info
% 8.13/1.66
% 8.13/1.66 git: date: 2023-05-31 18:12:56 +0000
% 8.13/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.13/1.66 git: non_committed_changes: false
% 8.13/1.66 git: last_make_outside_of_git: false
% 8.13/1.66
% 8.13/1.66 ------ Parsing...successful
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.13/1.66
% 8.13/1.66 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.13/1.66
% 8.13/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.13/1.66 ------ Proving...
% 8.13/1.66 ------ Problem Properties
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66 clauses 44
% 8.13/1.66 conjectures 41
% 8.13/1.66 EPR 0
% 8.13/1.66 Horn 7
% 8.13/1.66 unary 3
% 8.13/1.66 binary 36
% 8.13/1.66 lits 93
% 8.13/1.66 lits eq 85
% 8.13/1.66 fd_pure 0
% 8.13/1.66 fd_pseudo 0
% 8.13/1.66 fd_cond 0
% 8.13/1.66 fd_pseudo_cond 0
% 8.13/1.66 AC symbols 0
% 8.13/1.66
% 8.13/1.66 ------ Schedule dynamic 5 is on
% 8.13/1.66
% 8.13/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66 ------
% 8.13/1.66 Current options:
% 8.13/1.66 ------
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66 ------ Proving...
% 8.13/1.66
% 8.13/1.66
% 8.13/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.13/1.66
% 8.13/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.13/1.66
% 8.13/1.66
%------------------------------------------------------------------------------