TSTP Solution File: GRP285-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 May 3 02:22:02 EDT 2024
% Result : Unsatisfiable 0.46s 1.16s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of clauses : 152 ( 29 unt; 56 nHn; 141 RR)
% Number of literals : 361 ( 281 equ; 162 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 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 : 52 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c6
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c9,sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_77,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| multiply(X1,sk_c9) != sk_c7
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c9) != X5
| multiply(sk_c9,X5) != sk_c7
| multiply(sk_c9,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c7
| inverse(X4) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_79,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_80,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c7
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c9) != sk_c7
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c7) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c7 ),
inference(unflattening,[status(thm)],[c_77]) ).
cnf(c_228,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_81]) ).
cnf(c_229,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_81]) ).
cnf(c_230,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_81]) ).
cnf(c_231,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c7
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_81]) ).
cnf(c_232,negated_conjecture,
( multiply(sk_c9,sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_81]) ).
cnf(c_233,plain,
X0 = X0,
theory(equality) ).
cnf(c_234,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_239,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_437,plain,
( multiply(sk_c9,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_80]) ).
cnf(c_453,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_79,c_80]) ).
cnf(c_458,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_453,c_78]) ).
cnf(c_585,plain,
( multiply(sk_c9,sk_c8) != X0
| sk_c7 != X0
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_588,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_589,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_588]) ).
cnf(c_590,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_591,plain,
( sk_c9 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c9 ),
inference(instantiation,[status(thm)],[c_589]) ).
cnf(c_596,plain,
( multiply(sk_c9,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_589]) ).
cnf(c_600,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_606,plain,
( multiply(sk_c9,sk_c8) != multiply(sk_c9,sk_c6)
| sk_c7 != multiply(sk_c9,sk_c6)
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_585]) ).
cnf(c_618,plain,
( X0 != multiply(sk_c9,sk_c6)
| sk_c7 != multiply(sk_c9,sk_c6)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_600]) ).
cnf(c_619,plain,
( sk_c9 != multiply(sk_c9,sk_c6)
| sk_c7 != multiply(sk_c9,sk_c6)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_618]) ).
cnf(c_624,plain,
( multiply(sk_c9,sk_c8) != X0
| multiply(sk_c9,sk_c6) != X0
| multiply(sk_c9,sk_c8) = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_625,plain,
( multiply(sk_c9,sk_c8) != sk_c9
| multiply(sk_c9,sk_c6) != sk_c9
| multiply(sk_c9,sk_c8) = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_624]) ).
cnf(c_653,plain,
( ~ sP0_iProver_def
| multiply(sk_c9,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_228]) ).
cnf(c_654,plain,
( ~ sP0_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_228]) ).
cnf(c_655,plain,
( ~ sP0_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_72,c_228]) ).
cnf(c_659,plain,
( multiply(X0,multiply(X1,sk_c9)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_228]) ).
cnf(c_749,plain,
( multiply(sk_c9,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_234]) ).
cnf(c_750,plain,
( multiply(sk_c9,sk_c6) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c6) ),
inference(instantiation,[status(thm)],[c_749]) ).
cnf(c_775,plain,
( inverse(sk_c3) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_229]) ).
cnf(c_782,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_229]) ).
cnf(c_783,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_229]) ).
cnf(c_784,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_57,c_229]) ).
cnf(c_792,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_79,c_229]) ).
cnf(c_797,plain,
( ~ sP1_iProver_def
| inverse(sk_c3) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_784,c_64,c_784]) ).
cnf(c_809,plain,
( ~ sP1_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_775,c_797,c_775]) ).
cnf(c_919,plain,
( inverse(sk_c4) = sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_52,c_232]) ).
cnf(c_920,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_51,c_232]) ).
cnf(c_927,plain,
( inverse(sk_c4) = sk_c7
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_919,c_66,c_654,c_782,c_919]) ).
cnf(c_937,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_920,c_65,c_51,c_232,c_655,c_783]) ).
cnf(c_1010,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_65,c_230]) ).
cnf(c_1013,plain,
( multiply(X0,multiply(X1,sk_c7)) != sk_c8
| inverse(multiply(X0,X1)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_230]) ).
cnf(c_1017,plain,
( ~ sP2_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1010,c_66,c_1010]) ).
cnf(c_1052,plain,
( multiply(sk_c9,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c9
| ~ sP3_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_68,c_231]) ).
cnf(c_1055,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| inverse(sk_c1) != sk_c9
| ~ sP3_iProver_def
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_231]) ).
cnf(c_1056,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| inverse(sk_c1) != sk_c9
| ~ sP3_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_231]) ).
cnf(c_1057,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| inverse(sk_c1) != sk_c9
| ~ sP3_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_231]) ).
cnf(c_1066,plain,
( multiply(sk_c9,identity) != sk_c7
| inverse(inverse(sk_c9)) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_79,c_231]) ).
cnf(c_1090,plain,
( ~ sP3_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1056,c_66,c_52,c_1056]) ).
cnf(c_1094,plain,
( ~ sP3_iProver_def
| inverse(sk_c5) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1055,c_69,c_55,c_1055]) ).
cnf(c_1098,plain,
( ~ sP3_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1052,c_67,c_1094,c_1052]) ).
cnf(c_1120,plain,
( ~ sP3_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1057,c_51,c_1098,c_1057]) ).
cnf(c_1180,plain,
( inverse(sk_c4) = sk_c7
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_927,c_1090]) ).
cnf(c_1196,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_937,c_1120]) ).
cnf(c_1410,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_63,c_458]) ).
cnf(c_1417,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_68,c_458]) ).
cnf(c_1418,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_61,c_458]) ).
cnf(c_1419,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_458]) ).
cnf(c_1420,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_458]) ).
cnf(c_1421,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_458]) ).
cnf(c_1422,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_458]) ).
cnf(c_1431,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_79,c_458]) ).
cnf(c_1437,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_458,c_458]) ).
cnf(c_1856,plain,
( multiply(X0,sk_c8) != sk_c7
| ~ sP0_iProver_def
| multiply(sk_c2,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_659]) ).
cnf(c_1862,plain,
( multiply(X0,sk_c6) != sk_c7
| ~ sP0_iProver_def
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_54,c_659]) ).
cnf(c_1915,plain,
( multiply(sk_c9,sk_c6) != sk_c7
| ~ sP0_iProver_def
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1862]) ).
cnf(c_1916,plain,
( ~ sP0_iProver_def
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1862,c_653,c_1915]) ).
cnf(c_1929,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| ~ sP0_iProver_def
| multiply(sk_c2,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1856]) ).
cnf(c_1930,plain,
( ~ sP0_iProver_def
| multiply(sk_c2,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1856,c_1916,c_1929]) ).
cnf(c_1934,plain,
~ sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_1930,c_228]) ).
cnf(c_1941,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_232,c_1934]) ).
cnf(c_2015,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_64,c_1410]) ).
cnf(c_2211,plain,
( multiply(sk_c9,sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_69,c_1417]) ).
cnf(c_2214,plain,
inverse(sk_c1) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_2211,c_67,c_590,c_596,c_606,c_625,c_809,c_1017,c_1098,c_1941,c_2015,c_2211]) ).
cnf(c_2240,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
inference(demodulation,[status(thm)],[c_1420,c_2214]) ).
cnf(c_2245,plain,
( inverse(sk_c5) = sk_c9
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2240,c_55]) ).
cnf(c_2279,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1421,c_2214]) ).
cnf(c_2285,plain,
( inverse(sk_c4) = sk_c7
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2279,c_52]) ).
cnf(c_2318,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1422,c_2214]) ).
cnf(c_2325,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2318,c_51]) ).
cnf(c_2746,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c9
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2245,c_1419]) ).
cnf(c_2747,plain,
( multiply(sk_c9,sk_c6) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2245,c_1418]) ).
cnf(c_2755,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_2747,c_60,c_239,c_590,c_596,c_619,c_750,c_2747]) ).
cnf(c_2759,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_2746,c_53,c_239,c_590,c_596,c_619,c_750,c_2746]) ).
cnf(c_2810,plain,
( inverse(sk_c4) != sk_c7
| ~ sP2_iProver_def
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2325,c_230]) ).
cnf(c_2813,plain,
( ~ sP2_iProver_def
| sk_c9 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_2810,c_2285,c_2810]) ).
cnf(c_3400,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_600]) ).
cnf(c_3852,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| inverse(sk_c1) != sk_c9
| ~ sP3_iProver_def
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2755,c_231]) ).
cnf(c_3853,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| sk_c9 = sk_c7 ),
inference(superposition,[status(thm)],[c_2755,c_229]) ).
cnf(c_3862,plain,
( ~ sP1_iProver_def
| sk_c9 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_3853,c_67,c_590,c_596,c_606,c_625,c_809,c_1017,c_1098,c_1941,c_2015,c_2211,c_3853]) ).
cnf(c_3869,plain,
sk_c9 = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_3852,c_1941,c_2214,c_2759,c_2813,c_3862,c_3852]) ).
cnf(c_3887,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_3869,c_1941]) ).
cnf(c_3903,plain,
( multiply(sk_c9,identity) != sk_c7
| inverse(inverse(sk_c7)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_3869,c_1066]) ).
cnf(c_3913,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_3869,c_792]) ).
cnf(c_3925,plain,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_3869,c_59]) ).
cnf(c_3926,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_3869,c_58]) ).
cnf(c_4066,plain,
( multiply(sk_c7,identity) != sk_c7
| inverse(inverse(sk_c7)) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_3903,c_3869]) ).
cnf(c_4422,plain,
( inverse(sk_c1) != sk_c9
| sk_c7 != sk_c9
| inverse(sk_c1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_3400]) ).
cnf(c_4467,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(sk_c4) != sk_c7
| ~ sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_230]) ).
cnf(c_4524,plain,
( inverse(sk_c1) != sk_c7
| ~ sP2_iProver_def
| inverse(sk_c4) = sk_c7 ),
inference(superposition,[status(thm)],[c_3925,c_230]) ).
cnf(c_4529,plain,
inverse(sk_c4) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_4524,c_67,c_591,c_590,c_596,c_606,c_625,c_809,c_1017,c_1098,c_1180,c_1941,c_2015,c_2211,c_2759,c_2813,c_3862,c_3852,c_4422,c_4524]) ).
cnf(c_4537,plain,
( inverse(sk_c1) != sk_c7
| ~ sP2_iProver_def
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_3926,c_230]) ).
cnf(c_4542,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_4537,c_67,c_591,c_590,c_596,c_606,c_625,c_809,c_1017,c_1098,c_1196,c_1941,c_2015,c_2211,c_2759,c_2813,c_3862,c_3852,c_4422,c_4537]) ).
cnf(c_4544,plain,
( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_437,c_3869]) ).
cnf(c_4549,plain,
( inverse(multiply(sk_c7,sk_c6)) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c8
| ~ sP2_iProver_def
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_4544,c_1013]) ).
cnf(c_4560,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_4549,c_4467,c_4529,c_4542]) ).
cnf(c_4573,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3887,c_4560]) ).
cnf(c_4746,plain,
multiply(sk_c7,sk_c4) = identity,
inference(superposition,[status(thm)],[c_4529,c_79]) ).
cnf(c_4748,plain,
multiply(inverse(sk_c4),sk_c8) = sk_c7,
inference(superposition,[status(thm)],[c_4542,c_458]) ).
cnf(c_4751,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(light_normalisation,[status(thm)],[c_4748,c_4529]) ).
cnf(c_4760,plain,
( sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_4573,c_4751]) ).
cnf(c_4929,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1431,c_1437]) ).
cnf(c_4987,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm)],[c_4746,c_458]) ).
cnf(c_4989,plain,
inverse(sk_c7) = sk_c4,
inference(demodulation,[status(thm)],[c_4987,c_4929]) ).
cnf(c_4992,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c8,
inference(superposition,[status(thm)],[c_4751,c_458]) ).
cnf(c_4994,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_4992,c_79]) ).
cnf(c_4996,plain,
( inverse(inverse(sk_c7)) != sk_c7
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3913,c_4994]) ).
cnf(c_5001,plain,
( sk_c7 != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_4996,c_4529,c_4989]) ).
cnf(c_5002,plain,
~ sP1_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_5001]) ).
cnf(c_5003,plain,
sP3_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_4760,c_5002]) ).
cnf(c_5013,plain,
( multiply(sk_c7,identity) != sk_c7
| inverse(inverse(sk_c7)) != sk_c7 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4066,c_5003]) ).
cnf(c_5075,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c7 ),
inference(demodulation,[status(thm)],[c_5013,c_4751,c_4994]) ).
cnf(c_5076,plain,
inverse(inverse(sk_c7)) != sk_c7,
inference(equality_resolution_simp,[status(thm)],[c_5075]) ).
cnf(c_5077,plain,
sk_c7 != sk_c7,
inference(demodulation,[status(thm)],[c_5076,c_4529,c_4989]) ).
cnf(c_5078,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_5077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n012.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 : Thu May 2 23:34:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.16 % SZS status Started for theBenchmark.p
% 0.46/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.16
% 0.46/1.16 ------ iProver source info
% 0.46/1.16
% 0.46/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.16 git: non_committed_changes: false
% 0.46/1.16
% 0.46/1.16 ------ Parsing...successful
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.46/1.16 ------ Proving...
% 0.46/1.16 ------ Problem Properties
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 clauses 36
% 0.46/1.16 conjectures 33
% 0.46/1.16 EPR 0
% 0.46/1.16 Horn 7
% 0.46/1.16 unary 3
% 0.46/1.16 binary 29
% 0.46/1.16 lits 75
% 0.46/1.16 lits eq 67
% 0.46/1.16 fd_pure 0
% 0.46/1.16 fd_pseudo 0
% 0.46/1.16 fd_cond 0
% 0.46/1.16 fd_pseudo_cond 0
% 0.46/1.16 AC symbols 0
% 0.46/1.16
% 0.46/1.16 ------ Input Options Time Limit: Unbounded
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------
% 0.46/1.16 Current options:
% 0.46/1.16 ------
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 ------ Proving...
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.16
% 0.46/1.16
%------------------------------------------------------------------------------