TSTP Solution File: GRP236-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 00:58:50 EDT 2023
% Result : Unsatisfiable 3.82s 1.09s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 30
% Syntax : Number of clauses : 209 ( 59 unt; 75 nHn; 174 RR)
% Number of literals : 456 ( 418 equ; 194 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 119 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(X0,X1) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_77,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_78,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c7
| multiply(inverse(X1),sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_75]) ).
cnf(c_81,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_84,plain,
( inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X0) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(inverse(X1),sk_c8) != sk_c7
| multiply(X1,inverse(X1)) != sk_c7
| multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_79,c_49,c_79]) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c7
| multiply(inverse(X1),sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(renaming,[status(thm)],[c_84]) ).
cnf(c_329,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_85]) ).
cnf(c_330,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c7
| multiply(inverse(X0),sk_c8) != sk_c7
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_85]) ).
cnf(c_331,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_85]) ).
cnf(c_332,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).
cnf(c_333,plain,
X0 = X0,
theory(equality) ).
cnf(c_334,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_336,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_339,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_341,plain,
( multiply(inverse(sk_c8),sk_c8) != sk_c7
| multiply(sk_c8,inverse(sk_c8)) != sk_c7
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_330]) ).
cnf(c_524,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm)],[c_49,c_77]) ).
cnf(c_632,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_329]) ).
cnf(c_633,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_66,c_329]) ).
cnf(c_634,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_51,c_329]) ).
cnf(c_637,plain,
( inverse(sk_c1) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_329]) ).
cnf(c_638,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_329]) ).
cnf(c_673,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_331]) ).
cnf(c_675,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_68,c_331]) ).
cnf(c_680,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_331]) ).
cnf(c_724,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c7
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_77,c_330]) ).
cnf(c_730,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_724,c_49]) ).
cnf(c_757,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_634,c_50,c_634]) ).
cnf(c_769,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_637,c_637,c_757]) ).
cnf(c_775,plain,
( multiply(inverse(X0),sk_c8) != X1
| sk_c7 != X1
| multiply(inverse(X0),sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_776,plain,
( multiply(inverse(sk_c8),sk_c8) != sk_c8
| sk_c7 != sk_c8
| multiply(inverse(sk_c8),sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_775]) ).
cnf(c_797,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sk_c7,X0)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_78]) ).
cnf(c_805,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_77,c_78]) ).
cnf(c_807,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_524,c_78]) ).
cnf(c_815,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_807,c_76]) ).
cnf(c_907,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_908,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_909,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_910,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_915,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_916,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_917,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_919,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_930,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_940,plain,
( X0 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_941,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_940]) ).
cnf(c_952,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_67,c_815]) ).
cnf(c_970,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_805,c_76]) ).
cnf(c_982,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_73,c_970]) ).
cnf(c_984,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_68,c_970]) ).
cnf(c_985,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_53,c_970]) ).
cnf(c_997,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_76,c_970]) ).
cnf(c_998,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_77,c_970]) ).
cnf(c_999,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_78,c_970]) ).
cnf(c_1006,plain,
multiply(inverse(sk_c7),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_815,c_970]) ).
cnf(c_1007,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_970,c_970]) ).
cnf(c_1078,plain,
( multiply(identity,sk_c7) != X0
| X1 != X0
| X1 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_1080,plain,
( multiply(X0,X1) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_930]) ).
cnf(c_1082,plain,
( multiply(sk_c8,sk_c8) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_1080]) ).
cnf(c_1120,plain,
( multiply(identity,inverse(identity)) != sk_c7
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_997,c_330]) ).
cnf(c_1146,plain,
( inverse(sk_c8) != X0
| X1 != X0
| inverse(sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_1150,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_998,c_1007]) ).
cnf(c_1159,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1150,c_997]) ).
cnf(c_1161,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_638,c_1159]) ).
cnf(c_1222,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_1006,c_970]) ).
cnf(c_1223,plain,
multiply(sk_c8,identity) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_1006,c_1150]) ).
cnf(c_1337,plain,
( multiply(identity,sk_c7) != sk_c7
| X0 != sk_c7
| X0 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1078]) ).
cnf(c_1354,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_1518,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_985]) ).
cnf(c_1534,plain,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c3
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1518,c_67]) ).
cnf(c_1535,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1518,c_52]) ).
cnf(c_1538,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_1518,c_815]) ).
cnf(c_1541,plain,
( inverse(sk_c1) = sk_c8
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_1538,c_524]) ).
cnf(c_1602,plain,
( multiply(sk_c8,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_1603,plain,
( multiply(sk_c8,sk_c6) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c6) ),
inference(instantiation,[status(thm)],[c_1602]) ).
cnf(c_1640,plain,
inverse(sk_c7) = sk_c8,
inference(demodulation,[status(thm)],[c_1223,c_1150]) ).
cnf(c_1651,plain,
( inverse(sk_c7) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1222,c_331]) ).
cnf(c_1653,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1651,c_1640]) ).
cnf(c_1761,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| sk_c7 != identity
| multiply(inverse(sk_c8),sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_775]) ).
cnf(c_1767,plain,
( multiply(inverse(X0),sk_c8) != X1
| X2 != X1
| multiply(inverse(X0),sk_c8) = X2 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_1768,plain,
( multiply(inverse(X0),sk_c8) != multiply(X1,X2)
| sk_c7 != multiply(X1,X2)
| multiply(inverse(X0),sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_775]) ).
cnf(c_1769,plain,
( inverse(X0) != X1
| sk_c8 != X2
| multiply(inverse(X0),sk_c8) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1770,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| multiply(inverse(sk_c8),sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1768]) ).
cnf(c_1771,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| multiply(inverse(sk_c8),sk_c8) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_1769]) ).
cnf(c_1980,plain,
( inverse(sk_c8) != sk_c7
| X0 != sk_c7
| inverse(sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1146]) ).
cnf(c_1981,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c7
| inverse(sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_1980]) ).
cnf(c_2083,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1007,c_77]) ).
cnf(c_2087,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1007,c_1150]) ).
cnf(c_2088,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2087,c_1150]) ).
cnf(c_2116,plain,
( multiply(inverse(X0),sk_c8) != sk_c7
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_330,c_2083]) ).
cnf(c_2132,plain,
( multiply(inverse(sk_c8),sk_c8) != sk_c7
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_2116]) ).
cnf(c_2159,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_2174,plain,
( inverse(sk_c8) = sk_c1
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1541,c_2088]) ).
cnf(c_2175,plain,
( inverse(sk_c8) = sk_c1
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1535,c_2088]) ).
cnf(c_2183,plain,
( sk_c8 = sk_c7
| sk_c7 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_2175,c_49]) ).
cnf(c_2186,plain,
( sk_c7 = sk_c1
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_2174,c_49]) ).
cnf(c_2237,plain,
( multiply(sk_c4,sk_c8) = identity
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_50,c_2083]) ).
cnf(c_2239,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_2083]) ).
cnf(c_2240,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_2083]) ).
cnf(c_2299,plain,
( multiply(X0,X1) != sk_c7
| multiply(identity,sk_c7) != sk_c7
| multiply(X0,X1) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1337]) ).
cnf(c_2300,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| multiply(identity,sk_c7) != sk_c7
| multiply(sk_c8,sk_c8) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_2299]) ).
cnf(c_2580,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_77,c_78]) ).
cnf(c_2850,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(identity,X0)
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_2237,c_78]) ).
cnf(c_2854,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_2850,c_76]) ).
cnf(c_2979,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| X0 != identity
| multiply(inverse(sk_c8),sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1767]) ).
cnf(c_2980,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| sk_c8 != identity
| multiply(inverse(sk_c8),sk_c8) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2979]) ).
cnf(c_3098,plain,
( inverse(sk_c5) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2239,c_64]) ).
cnf(c_3113,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c3
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3098,c_984]) ).
cnf(c_3115,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3098,c_2083]) ).
cnf(c_3195,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2240,c_60]) ).
cnf(c_3212,plain,
( inverse(sk_c8) = sk_c4
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3195,c_2088]) ).
cnf(c_3215,plain,
( sk_c7 = sk_c4
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_3212,c_49]) ).
cnf(c_3942,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2580,c_76]) ).
cnf(c_3979,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3942,c_3942]) ).
cnf(c_4216,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3098,c_982]) ).
cnf(c_4454,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2159]) ).
cnf(c_4455,plain,
( sk_c8 != identity
| identity != identity
| identity = sk_c8 ),
inference(instantiation,[status(thm)],[c_4454]) ).
cnf(c_5223,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2083,c_999]) ).
cnf(c_5305,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_5223,c_1150]) ).
cnf(c_5954,plain,
( sk_c7 != X0
| identity != X0
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_5955,plain,
( sk_c7 != sk_c8
| identity != sk_c8
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_5954]) ).
cnf(c_7097,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c7 != X1
| multiply(X0,inverse(X0)) = sk_c7 ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_7167,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_52,c_2854]) ).
cnf(c_7310,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_7167,c_51]) ).
cnf(c_7353,plain,
( inverse(sk_c8) = sk_c1
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_7310,c_2088]) ).
cnf(c_7356,plain,
( sk_c8 = sk_c6
| sk_c7 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_7353,c_49]) ).
cnf(c_7422,plain,
( sk_c8 = identity
| sk_c7 = sk_c1 ),
inference(superposition,[status(thm)],[c_7356,c_2186]) ).
cnf(c_7560,plain,
( ~ sP0_iProver_split
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_632,c_632,c_769]) ).
cnf(c_8639,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_3979,c_77]) ).
cnf(c_8818,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_8639]) ).
cnf(c_8914,plain,
sk_c7 = sk_c1,
inference(global_subsumption_just,[status(thm)],[c_7422,c_81,c_332,c_776,c_910,c_909,c_1161,c_1354,c_1653,c_2132,c_2183,c_2980,c_4455,c_5955,c_7422]) ).
cnf(c_8918,plain,
( ~ sP0_iProver_split
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_7560,c_8914]) ).
cnf(c_8966,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_8914]) ).
cnf(c_8967,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_57,c_8914]) ).
cnf(c_8968,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(demodulation,[status(thm)],[c_56,c_8914]) ).
cnf(c_8969,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_59,c_8914]) ).
cnf(c_9071,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_8966,c_331]) ).
cnf(c_9104,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_3215,c_8968]) ).
cnf(c_9110,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_730,c_81,c_1761,c_2132]) ).
cnf(c_9123,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1534,c_69,c_65,c_67,c_339,c_332,c_633,c_675,c_909,c_915,c_941,c_1603,c_3113,c_9110]) ).
cnf(c_9135,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_9123,c_2083]) ).
cnf(c_9320,plain,
( multiply(inverse(sk_c8),sk_c4) = inverse(sk_c7)
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_8968,c_5305]) ).
cnf(c_9374,plain,
( multiply(inverse(sk_c8),inverse(sk_c5)) = inverse(sk_c6)
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_982,c_5305]) ).
cnf(c_9536,plain,
( multiply(sk_c7,sk_c7) = sk_c8
| multiply(sk_c7,sk_c4) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_9320,c_49,c_1640]) ).
cnf(c_9557,plain,
( multiply(sk_c7,inverse(sk_c5)) = inverse(sk_c6)
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_9374,c_49]) ).
cnf(c_10503,plain,
multiply(sk_c7,sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_9536,c_332,c_8918,c_8969,c_8967,c_9071,c_9104,c_9110]) ).
cnf(c_10508,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = sk_c6 ),
inference(demodulation,[status(thm)],[c_952,c_10503]) ).
cnf(c_10513,plain,
( inverse(sk_c7) != sk_c8
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_10503,c_329]) ).
cnf(c_10515,plain,
multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_10503,c_78]) ).
cnf(c_10517,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm)],[c_10503,c_1222]) ).
cnf(c_10520,plain,
~ sP0_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_10513,c_1640]) ).
cnf(c_10525,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_332,c_10520]) ).
cnf(c_10652,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_10508,c_2083]) ).
cnf(c_11329,plain,
( multiply(X0,inverse(X0)) != multiply(X1,X2)
| sk_c7 != multiply(X1,X2)
| multiply(X0,inverse(X0)) = sk_c7 ),
inference(instantiation,[status(thm)],[c_7097]) ).
cnf(c_11330,plain,
( inverse(X0) != X1
| X0 != X2
| multiply(X0,inverse(X0)) = multiply(X2,X1) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_11331,plain,
( multiply(sk_c8,inverse(sk_c8)) != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| multiply(sk_c8,inverse(sk_c8)) = sk_c7 ),
inference(instantiation,[status(thm)],[c_11329]) ).
cnf(c_11332,plain,
( inverse(sk_c8) != sk_c8
| sk_c8 != sk_c8
| multiply(sk_c8,inverse(sk_c8)) = multiply(sk_c8,sk_c8) ),
inference(instantiation,[status(thm)],[c_11330]) ).
cnf(c_11370,plain,
multiply(sk_c2,sk_c3) = identity,
inference(global_subsumption_just,[status(thm)],[c_8818,c_49,c_339,c_341,c_332,c_909,c_916,c_917,c_1082,c_1653,c_1770,c_1771,c_1981,c_2300,c_9135,c_10520,c_10517,c_11331,c_11332]) ).
cnf(c_11389,plain,
multiply(sk_c2,sk_c3) = identity,
inference(global_subsumption_just,[status(thm)],[c_10652,c_11370]) ).
cnf(c_11391,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_63,c_11389]) ).
cnf(c_11403,plain,
multiply(sk_c2,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_11389,c_78]) ).
cnf(c_11406,plain,
multiply(sk_c2,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_11403,c_76]) ).
cnf(c_11463,plain,
( sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_11391,c_3115]) ).
cnf(c_11514,plain,
multiply(sk_c3,sk_c8) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_9557,c_49,c_74,c_72,c_339,c_341,c_332,c_673,c_909,c_915,c_916,c_917,c_941,c_1082,c_1603,c_1653,c_1770,c_1771,c_1981,c_2300,c_4216,c_9110,c_10520,c_10517,c_11331,c_11332]) ).
cnf(c_11527,plain,
multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_11514,c_78]) ).
cnf(c_11640,plain,
multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1222,c_11527]) ).
cnf(c_11652,plain,
multiply(sk_c8,X0) = multiply(sk_c3,X0),
inference(light_normalisation,[status(thm)],[c_11640,c_10515]) ).
cnf(c_11675,plain,
multiply(sk_c2,multiply(sk_c8,X0)) = X0,
inference(demodulation,[status(thm)],[c_11406,c_11652]) ).
cnf(c_11694,plain,
( inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_680,c_680,c_10517]) ).
cnf(c_11696,plain,
( sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_11694,c_1159]) ).
cnf(c_11806,plain,
sk_c8 != sk_c7,
inference(global_subsumption_just,[status(thm)],[c_1120,c_49,c_339,c_341,c_332,c_909,c_916,c_917,c_1082,c_1653,c_1770,c_1771,c_1981,c_2300,c_10520,c_10517,c_11331,c_11332]) ).
cnf(c_11808,plain,
( multiply(sk_c7,X0) = X0
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_797,c_11652,c_11675]) ).
cnf(c_11830,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_11808,c_10503]) ).
cnf(c_11836,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(forward_subsumption_resolution,[status(thm)],[c_11830,c_11806]) ).
cnf(c_11913,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm)],[c_11836,c_815]) ).
cnf(c_11914,plain,
sk_c8 = sk_c6,
inference(light_normalisation,[status(thm)],[c_11913,c_10503]) ).
cnf(c_12054,plain,
( sk_c8 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_11463,c_11914]) ).
cnf(c_12064,plain,
( inverse(identity) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12054,c_1640]) ).
cnf(c_12070,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_12064,c_1159]) ).
cnf(c_12071,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_11696,c_12070]) ).
cnf(c_12085,plain,
inverse(identity) = sk_c7,
inference(demodulation,[status(thm)],[c_49,c_12070]) ).
cnf(c_12086,plain,
sP1_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_10525,c_12071]) ).
cnf(c_12087,plain,
sk_c7 != identity,
inference(backward_subsumption_resolution,[status(thm)],[c_9110,c_12086]) ).
cnf(c_12088,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_12085,c_1159]) ).
cnf(c_12089,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_12087,c_12088]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 20:55:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.45 Running first-order theorem proving
% 0.20/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/1.09 % SZS status Started for theBenchmark.p
% 3.82/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.09
% 3.82/1.09 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.82/1.09
% 3.82/1.09 ------ iProver source info
% 3.82/1.09
% 3.82/1.09 git: date: 2023-05-31 18:12:56 +0000
% 3.82/1.09 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.82/1.09 git: non_committed_changes: false
% 3.82/1.09 git: last_make_outside_of_git: false
% 3.82/1.09
% 3.82/1.09 ------ Parsing...successful
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.82/1.09
% 3.82/1.09 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.82/1.09
% 3.82/1.09 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.82/1.09 ------ Proving...
% 3.82/1.09 ------ Problem Properties
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09 clauses 33
% 3.82/1.09 conjectures 30
% 3.82/1.09 EPR 1
% 3.82/1.09 Horn 7
% 3.82/1.09 unary 4
% 3.82/1.09 binary 25
% 3.82/1.09 lits 66
% 3.82/1.09 lits eq 60
% 3.82/1.09 fd_pure 0
% 3.82/1.09 fd_pseudo 0
% 3.82/1.09 fd_cond 0
% 3.82/1.09 fd_pseudo_cond 0
% 3.82/1.09 AC symbols 0
% 3.82/1.09
% 3.82/1.09 ------ Schedule dynamic 5 is on
% 3.82/1.09
% 3.82/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09 ------
% 3.82/1.09 Current options:
% 3.82/1.09 ------
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09 ------ Proving...
% 3.82/1.09
% 3.82/1.09
% 3.82/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.09
% 3.82/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.09
% 3.82/1.10
%------------------------------------------------------------------------------