TSTP Solution File: GRP218-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 00:58:44 EDT 2023
% Result : Unsatisfiable 0.51s 1.20s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 35
% Syntax : Number of clauses : 218 ( 72 unt; 97 nHn; 185 RR)
% Number of literals : 431 ( 398 equ; 132 neg)
% Maximal clause size : 13 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 86 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c10) != X4
| multiply(X5,sk_c9) != sk_c10
| multiply(X6,sk_c10) != X7
| multiply(sk_c10,X4) != sk_c9
| multiply(sk_c10,X7) != sk_c9
| inverse(X0) != X1
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_91,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_92,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(X2,inverse(X2)) != sk_c9
| multiply(inverse(X2),sk_c10) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| inverse(X1) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c10 ),
inference(unflattening,[status(thm)],[c_89]) ).
cnf(c_95,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_466,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c10) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_93]) ).
cnf(c_467,negated_conjecture,
( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_93]) ).
cnf(c_468,negated_conjecture,
( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_93]) ).
cnf(c_469,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_93]) ).
cnf(c_470,plain,
X0 = X0,
theory(equality) ).
cnf(c_471,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_476,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_470]) ).
cnf(c_728,plain,
( multiply(sk_c10,sk_c4) = identity
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_91]) ).
cnf(c_903,plain,
( multiply(sk_c7,multiply(sk_c10,X0)) = multiply(sk_c8,X0)
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_92]) ).
cnf(c_928,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_91,c_92]) ).
cnf(c_934,plain,
( multiply(sk_c10,multiply(sk_c4,X0)) = multiply(identity,X0)
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_728,c_92]) ).
cnf(c_940,plain,
( multiply(sk_c10,multiply(sk_c4,X0)) = X0
| inverse(sk_c6) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_934,c_90]) ).
cnf(c_1065,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c9 != X1
| multiply(inverse(X0),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1068,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1069,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1070,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_470]) ).
cnf(c_1071,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1073,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_928,c_90]) ).
cnf(c_1090,plain,
( multiply(inverse(sk_c7),sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_1073]) ).
cnf(c_1112,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_1073]) ).
cnf(c_1113,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_1073]) ).
cnf(c_1115,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_91,c_1073]) ).
cnf(c_1116,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_92,c_1073]) ).
cnf(c_1123,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1073,c_1073]) ).
cnf(c_1213,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1214,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1215,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_1217,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1224,plain,
( X0 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_1232,plain,
( X0 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_1233,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1232]) ).
cnf(c_1239,plain,
( multiply(sk_c10,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1240,plain,
( multiply(sk_c10,sk_c8) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_1239]) ).
cnf(c_1263,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| X1 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1307,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_50,c_467]) ).
cnf(c_1311,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_58,c_467]) ).
cnf(c_1312,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_54,c_467]) ).
cnf(c_1371,plain,
( multiply(identity,sk_c9) != X0
| X1 != X0
| multiply(identity,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_1387,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c7) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_468]) ).
cnf(c_1396,plain,
( multiply(sk_c10,sk_c5) != sk_c9
| inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_83,c_468]) ).
cnf(c_1397,plain,
( multiply(sk_c10,sk_c5) != sk_c9
| inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_79,c_468]) ).
cnf(c_1399,plain,
( inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_91,c_468]) ).
cnf(c_1494,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_470]) ).
cnf(c_1504,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_91,c_466]) ).
cnf(c_1760,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1115,c_1123]) ).
cnf(c_1796,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1123,c_91]) ).
cnf(c_1799,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1123,c_1073]) ).
cnf(c_1800,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1123,c_1760]) ).
cnf(c_1801,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1800,c_1760]) ).
cnf(c_1824,plain,
( multiply(inverse(X0),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_466,c_1796]) ).
cnf(c_1829,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_1801]) ).
cnf(c_1840,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_1824]) ).
cnf(c_2051,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_91,c_92]) ).
cnf(c_2148,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c3) = sk_c2 ),
inference(superposition,[status(thm)],[c_68,c_1801]) ).
cnf(c_2149,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c3) = sk_c2 ),
inference(superposition,[status(thm)],[c_64,c_1801]) ).
cnf(c_2150,plain,
( inverse(sk_c10) = sk_c4
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_1801]) ).
cnf(c_2223,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_2148,c_91]) ).
cnf(c_2239,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_2149,c_91]) ).
cnf(c_2256,plain,
( multiply(identity,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1371]) ).
cnf(c_2257,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c10 != sk_c9
| multiply(identity,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_2256]) ).
cnf(c_2479,plain,
( inverse(sk_c7) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2223,c_63]) ).
cnf(c_2489,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_471]) ).
cnf(c_2521,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1799,c_468]) ).
cnf(c_2543,plain,
( sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2521,c_1801]) ).
cnf(c_2968,plain,
( inverse(sk_c6) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2239,c_59]) ).
cnf(c_3277,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2051,c_90]) ).
cnf(c_3290,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_3277]) ).
cnf(c_3319,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_91,c_3277]) ).
cnf(c_3327,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_3277,c_3277]) ).
cnf(c_4070,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2489]) ).
cnf(c_4071,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_4070]) ).
cnf(c_4267,plain,
( multiply(sk_c10,sk_c5) = sk_c10
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_88,c_1112]) ).
cnf(c_4297,plain,
( inverse(sk_c7) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_4267,c_78]) ).
cnf(c_4318,plain,
( inverse(sk_c10) = sk_c7
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_4297,c_1801]) ).
cnf(c_4358,plain,
( multiply(sk_c10,sk_c5) = sk_c10
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_84,c_1113]) ).
cnf(c_4447,plain,
( inverse(sk_c6) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_4358,c_74]) ).
cnf(c_4466,plain,
( inverse(sk_c10) = sk_c6
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_4447,c_1801]) ).
cnf(c_4548,plain,
( sk_c10 = sk_c9
| sk_c6 = sk_c7 ),
inference(superposition,[status(thm)],[c_4466,c_4318]) ).
cnf(c_4595,plain,
( multiply(sk_c6,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_4548,c_52]) ).
cnf(c_5260,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c9 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1065]) ).
cnf(c_5269,plain,
inverse(sk_c6) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_940,c_95,c_84,c_49,c_74,c_469,c_1312,c_1397,c_1840,c_2968,c_5260]) ).
cnf(c_5306,plain,
multiply(sk_c6,sk_c10) = identity,
inference(superposition,[status(thm)],[c_5269,c_1796]) ).
cnf(c_5307,plain,
inverse(sk_c10) = sk_c6,
inference(superposition,[status(thm)],[c_5269,c_1801]) ).
cnf(c_5308,plain,
multiply(sk_c10,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_5269,c_1073]) ).
cnf(c_5321,plain,
( inverse(sk_c7) = sk_c10
| sk_c6 = sk_c4 ),
inference(demodulation,[status(thm)],[c_2150,c_5307]) ).
cnf(c_5689,plain,
inverse(sk_c7) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_5321,c_95,c_88,c_53,c_78,c_469,c_1311,c_1396,c_1840,c_2479,c_5260]) ).
cnf(c_5700,plain,
( multiply(sk_c10,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(demodulation,[status(thm)],[c_1090,c_5689]) ).
cnf(c_5725,plain,
multiply(sk_c7,multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_5689,c_1799]) ).
cnf(c_5726,plain,
multiply(sk_c7,sk_c10) = identity,
inference(superposition,[status(thm)],[c_5689,c_1796]) ).
cnf(c_5735,plain,
( multiply(sk_c4,sk_c10) = sk_c5
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_82,c_5726]) ).
cnf(c_5736,plain,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_77,c_5726]) ).
cnf(c_5738,plain,
( multiply(sk_c2,sk_c3) = sk_c9
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_62,c_5726]) ).
cnf(c_5739,plain,
( multiply(sk_c1,sk_c9) = sk_c10
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_57,c_5726]) ).
cnf(c_5740,plain,
( inverse(sk_c4) = sk_c10
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_87,c_5726]) ).
cnf(c_5741,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_67,c_5726]) ).
cnf(c_5807,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5741,c_1796]) ).
cnf(c_5867,plain,
( multiply(sk_c10,sk_c5) != sk_c9
| inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5735,c_468]) ).
cnf(c_6014,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5739,c_467]) ).
cnf(c_6023,plain,
( ~ sP1_iProver_split
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_6014,c_95,c_84,c_49,c_74,c_469,c_1312,c_1307,c_1397,c_1840,c_2968,c_5260,c_6014]) ).
cnf(c_6297,plain,
( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sk_c9)) = sk_c8
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_66,c_1116]) ).
cnf(c_6346,plain,
multiply(inverse(multiply(X0,sk_c10)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_5308,c_1116]) ).
cnf(c_6734,plain,
( sk_c9 != X0
| identity != X0
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_1068]) ).
cnf(c_6738,plain,
( sk_c9 != sk_c10
| identity != sk_c10
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_6734]) ).
cnf(c_7118,plain,
( multiply(identity,sk_c9) != X0
| identity != X0
| identity = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1263]) ).
cnf(c_7122,plain,
( multiply(identity,sk_c9) != sk_c10
| identity != sk_c10
| identity = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_7118]) ).
cnf(c_7184,plain,
( multiply(sk_c8,X0) = X0
| inverse(sk_c1) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_903,c_5725]) ).
cnf(c_7195,plain,
( inverse(sk_c1) = sk_c10
| inverse(sk_c8) = identity ),
inference(superposition,[status(thm)],[c_7184,c_1796]) ).
cnf(c_7993,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_3319,c_3327]) ).
cnf(c_8156,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_3327,c_91]) ).
cnf(c_8160,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_3327,c_7993]) ).
cnf(c_8161,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_8160,c_7993]) ).
cnf(c_8742,plain,
( inverse(sk_c10) = sk_c1
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_53,c_8161]) ).
cnf(c_8743,plain,
( inverse(sk_c10) = sk_c1
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_49,c_8161]) ).
cnf(c_8904,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1504,c_95,c_1840,c_5260]) ).
cnf(c_8947,plain,
( sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5807,c_5738]) ).
cnf(c_8957,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_8947,c_469,c_5740,c_5736,c_5867,c_6023,c_8904,c_8947]) ).
cnf(c_9000,plain,
( multiply(sk_c10,identity) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(demodulation,[status(thm)],[c_81,c_8957]) ).
cnf(c_9001,plain,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,identity) = sk_c9 ),
inference(demodulation,[status(thm)],[c_76,c_8957]) ).
cnf(c_9003,plain,
( multiply(sk_c10,identity) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(demodulation,[status(thm)],[c_61,c_8957]) ).
cnf(c_9005,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_86,c_8957]) ).
cnf(c_9006,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(demodulation,[status(thm)],[c_66,c_8957]) ).
cnf(c_9060,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_9005,c_1760]) ).
cnf(c_9068,plain,
( inverse(sk_c10) = sk_c4
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9060,c_1801]) ).
cnf(c_9071,plain,
( sk_c10 = sk_c9
| sk_c6 = sk_c4 ),
inference(light_normalisation,[status(thm)],[c_9068,c_5307]) ).
cnf(c_9087,plain,
( inverse(sk_c2) = sk_c3
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_9006,c_1760]) ).
cnf(c_9097,plain,
( multiply(sk_c3,sk_c2) = identity
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9087,c_91]) ).
cnf(c_9140,plain,
( multiply(sk_c4,sk_c10) = sk_c5
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_9000,c_1760]) ).
cnf(c_9157,plain,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_9001,c_1760]) ).
cnf(c_9188,plain,
( multiply(sk_c2,sk_c3) = sk_c9
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_9003,c_1760]) ).
cnf(c_9228,plain,
inverse(sk_c7) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_8742,c_95,c_88,c_53,c_78,c_469,c_1311,c_1396,c_1840,c_2479,c_5260]) ).
cnf(c_9241,plain,
multiply(sk_c10,sk_c7) = identity,
inference(superposition,[status(thm)],[c_9228,c_91]) ).
cnf(c_9257,plain,
inverse(sk_c6) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_8743,c_95,c_84,c_49,c_74,c_469,c_1312,c_1397,c_1840,c_2968,c_5260]) ).
cnf(c_9277,plain,
inverse(sk_c10) = sk_c6,
inference(superposition,[status(thm)],[c_9257,c_8161]) ).
cnf(c_9279,plain,
multiply(sk_c10,sk_c6) = identity,
inference(superposition,[status(thm)],[c_9257,c_91]) ).
cnf(c_9284,plain,
( multiply(sk_c6,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(light_normalisation,[status(thm)],[c_3290,c_9277]) ).
cnf(c_9296,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = sk_c8 ),
inference(superposition,[status(thm)],[c_9284,c_50]) ).
cnf(c_9341,plain,
multiply(inverse(sk_c10),identity) = sk_c7,
inference(superposition,[status(thm)],[c_9241,c_3277]) ).
cnf(c_9343,plain,
multiply(sk_c6,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9341,c_9277]) ).
cnf(c_9345,plain,
multiply(inverse(sk_c10),identity) = sk_c6,
inference(superposition,[status(thm)],[c_9279,c_3277]) ).
cnf(c_9347,plain,
sk_c6 = sk_c7,
inference(light_normalisation,[status(thm)],[c_9345,c_9277,c_9343]) ).
cnf(c_9356,plain,
( multiply(sk_c6,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_87,c_9347]) ).
cnf(c_9378,plain,
multiply(sk_c6,sk_c10) = identity,
inference(superposition,[status(thm)],[c_9257,c_8156]) ).
cnf(c_9421,plain,
( inverse(sk_c4) = sk_c10
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_9356,c_9378]) ).
cnf(c_9429,plain,
( multiply(sk_c10,sk_c4) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_9421,c_91]) ).
cnf(c_9501,plain,
( multiply(sk_c6,sk_c10) = sk_c5
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9071,c_9140]) ).
cnf(c_9505,plain,
( sk_c10 = sk_c9
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_9501,c_5306]) ).
cnf(c_9579,plain,
( multiply(sk_c10,identity) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_9505,c_9157]) ).
cnf(c_10101,plain,
( sk_c9 != multiply(identity,sk_c9)
| identity != multiply(identity,sk_c9)
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_1224]) ).
cnf(c_10343,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_4595,c_51,c_476,c_1070,c_1213,c_1233,c_1240,c_5700]) ).
cnf(c_10712,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_9429,c_8957]) ).
cnf(c_10721,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_9296,c_10712]) ).
cnf(c_10753,plain,
inverse(sk_c1) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_10721,c_95,c_88,c_84,c_53,c_49,c_78,c_74,c_51,c_469,c_1071,c_1070,c_1312,c_1311,c_1307,c_1397,c_1396,c_1387,c_1494,c_1840,c_2479,c_2968,c_4071,c_5260,c_6738,c_8904,c_10343,c_10721]) ).
cnf(c_10757,plain,
inverse(sk_c10) = sk_c1,
inference(superposition,[status(thm)],[c_10753,c_8161]) ).
cnf(c_10760,plain,
sk_c1 = sk_c6,
inference(light_normalisation,[status(thm)],[c_10757,c_9277]) ).
cnf(c_10762,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(demodulation,[status(thm)],[c_55,c_10760]) ).
cnf(c_10774,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_10762,c_467]) ).
cnf(c_10778,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_10774,c_9257]) ).
cnf(c_10779,plain,
( sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_469,c_10778]) ).
cnf(c_10783,plain,
sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_10779,c_1399,c_1829,c_2543,c_9579,c_10779]) ).
cnf(c_11120,plain,
inverse(sk_c1) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_7195,c_10753]) ).
cnf(c_11134,plain,
inverse(sk_c10) = sk_c1,
inference(superposition,[status(thm)],[c_11120,c_1801]) ).
cnf(c_11137,plain,
sk_c1 = sk_c6,
inference(light_normalisation,[status(thm)],[c_11134,c_5307]) ).
cnf(c_11145,plain,
multiply(sk_c6,sk_c9) = sk_c10,
inference(demodulation,[status(thm)],[c_55,c_11137]) ).
cnf(c_11147,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_11145,c_467]) ).
cnf(c_11152,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_11147,c_5269]) ).
cnf(c_11159,plain,
( sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_469,c_11152]) ).
cnf(c_11162,plain,
sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_11159,c_10783]) ).
cnf(c_11164,plain,
sk_c9 != identity,
inference(backward_subsumption_resolution,[status(thm)],[c_8904,c_11162]) ).
cnf(c_11362,plain,
( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sk_c9)) = identity
| inverse(sk_c2) = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_6297,c_8957]) ).
cnf(c_11363,plain,
( inverse(sk_c2) = sk_c3
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_11362,c_6346,c_11145]) ).
cnf(c_11372,plain,
( multiply(sk_c3,sk_c2) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_11363,c_91]) ).
cnf(c_11500,plain,
multiply(sk_c3,sk_c2) = identity,
inference(global_subsumption_just,[status(thm)],[c_11372,c_1070,c_1214,c_1215,c_1399,c_1494,c_1829,c_2257,c_2543,c_4071,c_7122,c_8904,c_9097,c_9579,c_10101,c_10779,c_11372]) ).
cnf(c_11503,plain,
multiply(sk_c3,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_11500,c_92]) ).
cnf(c_11505,plain,
multiply(sk_c3,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_11503,c_90]) ).
cnf(c_11508,plain,
multiply(sk_c3,identity) = inverse(sk_c2),
inference(superposition,[status(thm)],[c_1796,c_11505]) ).
cnf(c_11530,plain,
inverse(sk_c2) = sk_c3,
inference(demodulation,[status(thm)],[c_11508,c_1760]) ).
cnf(c_11534,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm)],[c_11530,c_1796]) ).
cnf(c_11544,plain,
( sk_c10 = sk_c9
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_9188,c_11534]) ).
cnf(c_11545,plain,
sk_c10 = sk_c9,
inference(forward_subsumption_resolution,[status(thm)],[c_11544,c_11164]) ).
cnf(c_11549,plain,
sk_c10 != identity,
inference(demodulation,[status(thm)],[c_11164,c_11545]) ).
cnf(c_11551,plain,
multiply(sk_c6,sk_c10) = sk_c10,
inference(demodulation,[status(thm)],[c_11145,c_11545]) ).
cnf(c_11552,plain,
sk_c10 = identity,
inference(light_normalisation,[status(thm)],[c_11551,c_5306]) ).
cnf(c_11565,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11549,c_11552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:10:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.51/1.20 % SZS status Started for theBenchmark.p
% 0.51/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.20
% 0.51/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.20
% 0.51/1.20 ------ iProver source info
% 0.51/1.20
% 0.51/1.20 git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.20 git: non_committed_changes: false
% 0.51/1.20 git: last_make_outside_of_git: false
% 0.51/1.20
% 0.51/1.20 ------ Parsing...successful
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% 0.51/1.20 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
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% 0.51/1.20 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
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% 0.51/1.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.51/1.20 ------ Proving...
% 0.51/1.20 ------ Problem Properties
% 0.51/1.20
% 0.51/1.20
% 0.51/1.20 clauses 47
% 0.51/1.20 conjectures 44
% 0.51/1.20 EPR 1
% 0.51/1.20 Horn 6
% 0.51/1.20 unary 3
% 0.51/1.20 binary 40
% 0.51/1.20 lits 95
% 0.51/1.20 lits eq 89
% 0.51/1.20 fd_pure 0
% 0.51/1.20 fd_pseudo 0
% 0.51/1.20 fd_cond 0
% 0.51/1.20 fd_pseudo_cond 0
% 0.51/1.20 AC symbols 0
% 0.51/1.20
% 0.51/1.20 ------ Schedule dynamic 5 is on
% 0.51/1.20
% 0.51/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 0.51/1.20
% 0.51/1.20 ------
% 0.51/1.20 Current options:
% 0.51/1.20 ------
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% 0.51/1.20 ------ Proving...
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% 0.51/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.20
% 0.51/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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