TSTP Solution File: GRP291-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP291-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:09 EDT 2023
% Result : Unsatisfiable 7.85s 1.65s
% Output : CNFRefutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 30
% Syntax : Number of clauses : 249 ( 53 unt; 105 nHn; 207 RR)
% Number of literals : 562 ( 479 equ; 211 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c5
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_330,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_74]) ).
cnf(c_331,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_74]) ).
cnf(c_333,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_74]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_335,plain,
X0 = X0,
theory(equality) ).
cnf(c_336,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_337,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_341,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_627,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_77]) ).
cnf(c_634,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_77]) ).
cnf(c_635,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_77]) ).
cnf(c_639,plain,
( multiply(sk_c2,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_77]) ).
cnf(c_642,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_742,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_642,c_75]) ).
cnf(c_749,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c2) = sk_c5 ),
inference(superposition,[status(thm)],[c_69,c_742]) ).
cnf(c_750,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_742]) ).
cnf(c_754,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_742]) ).
cnf(c_758,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_742]) ).
cnf(c_759,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_742]) ).
cnf(c_760,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_742]) ).
cnf(c_761,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_742]) ).
cnf(c_762,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_742]) ).
cnf(c_768,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_742]) ).
cnf(c_769,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_742]) ).
cnf(c_775,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_742,c_742]) ).
cnf(c_836,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c6),
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_837,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| multiply(sk_c7,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_839,plain,
( sk_c7 != X0
| sk_c6 != X1
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_853,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c7,sk_c6)
| X0 != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_837]) ).
cnf(c_857,plain,
( sk_c7 != X0
| sk_c6 != sk_c6
| multiply(sk_c7,sk_c6) = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_858,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_859,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_868,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_893,plain,
( inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_330]) ).
cnf(c_894,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_330]) ).
cnf(c_931,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_932,plain,
( multiply(sk_c7,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_933,plain,
( multiply(X0,X1) != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_934,plain,
( X0 != sk_c7
| X1 != sk_c6
| multiply(X0,X1) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_935,plain,
( multiply(sk_c7,sk_c7) != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_933]) ).
cnf(c_936,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c6
| multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_934]) ).
cnf(c_948,plain,
( inverse(sk_c2) != sk_c5
| ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_331]) ).
cnf(c_950,plain,
( inverse(sk_c2) != sk_c5
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_331]) ).
cnf(c_951,plain,
( inverse(sk_c2) != sk_c5
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_331]) ).
cnf(c_953,plain,
( inverse(inverse(sk_c5)) != sk_c5
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_331]) ).
cnf(c_999,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_1010,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1015,plain,
( inverse(sk_c3) != sk_c7
| X0 != sk_c7
| inverse(sk_c3) = X0 ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_1030,plain,
( inverse(sk_c4) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_332]) ).
cnf(c_1082,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1083,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1082]) ).
cnf(c_1087,plain,
( multiply(X0,sk_c6) != X1
| X2 != X1
| X2 = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1102,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_333]) ).
cnf(c_1104,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_333]) ).
cnf(c_1105,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_333]) ).
cnf(c_1107,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_333]) ).
cnf(c_1160,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1161,plain,
( multiply(identity,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_999]) ).
cnf(c_1162,plain,
multiply(identity,sk_c6) = sk_c6,
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_1164,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1219,plain,
( multiply(sk_c7,sk_c6) != multiply(X0,sk_c6)
| X1 != multiply(X0,sk_c6)
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_1234,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_334]) ).
cnf(c_1235,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_50,c_334]) ).
cnf(c_1314,plain,
( X0 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_1317,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1314]) ).
cnf(c_1404,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1488,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_769,c_775]) ).
cnf(c_1497,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1488,c_768]) ).
cnf(c_1505,plain,
( multiply(sk_c3,sk_c5) != sk_c7
| inverse(sk_c3) != sk_c5
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_331]) ).
cnf(c_1506,plain,
( inverse(sk_c3) != X0
| X1 != X0
| inverse(sk_c3) = X1 ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_1549,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_775,c_76]) ).
cnf(c_1551,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_775,c_77]) ).
cnf(c_1555,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_775,c_742]) ).
cnf(c_1556,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_775,c_1488]) ).
cnf(c_1557,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1556,c_1488]) ).
cnf(c_1580,plain,
inverse(inverse(sk_c7)) = sk_c7,
inference(instantiation,[status(thm)],[c_1557]) ).
cnf(c_1593,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_1594,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_1615,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1082]) ).
cnf(c_1736,plain,
( multiply(inverse(sk_c3),multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_754,c_77]) ).
cnf(c_1842,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1549]) ).
cnf(c_1843,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1549]) ).
cnf(c_1844,plain,
( multiply(sk_c2,sk_c5) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1549]) ).
cnf(c_1845,plain,
( multiply(sk_c2,sk_c5) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_1549]) ).
cnf(c_1851,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1549,c_77]) ).
cnf(c_1881,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| X0 != multiply(sk_c6,sk_c7)
| X0 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_1946,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1555]) ).
cnf(c_1947,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1555]) ).
cnf(c_1948,plain,
( multiply(sk_c2,multiply(sk_c5,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1555]) ).
cnf(c_2155,plain,
( multiply(X0,sk_c6) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| X3 = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_1087]) ).
cnf(c_2177,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1842,c_57]) ).
cnf(c_2220,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1404,c_75]) ).
cnf(c_2246,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_2220]) ).
cnf(c_2247,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_2220]) ).
cnf(c_2253,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2220,c_2220]) ).
cnf(c_2319,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1843,c_55]) ).
cnf(c_2391,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1844,c_67]) ).
cnf(c_2415,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,sk_c6)
| sk_c6 != multiply(identity,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_1219]) ).
cnf(c_2466,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1845,c_65]) ).
cnf(c_2710,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_761]) ).
cnf(c_2746,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2710,c_52]) ).
cnf(c_2853,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_762]) ).
cnf(c_2876,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2853,c_50]) ).
cnf(c_3011,plain,
( multiply(sk_c4,sk_c5) != X0
| sk_c7 != X0
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_3012,plain,
( multiply(sk_c4,sk_c5) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_3011]) ).
cnf(c_3141,plain,
( multiply(sk_c7,multiply(sk_c6,inverse(sk_c5))) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_1851]) ).
cnf(c_3163,plain,
( multiply(sk_c2,multiply(sk_c5,inverse(sk_c7))) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_1851]) ).
cnf(c_3448,plain,
( inverse(sk_c3) != X0
| sk_c5 != X0
| inverse(sk_c3) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1506]) ).
cnf(c_3574,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1593]) ).
cnf(c_4513,plain,
( sk_c7 != identity
| sk_c6 != sk_c6
| multiply(sk_c7,sk_c6) = multiply(identity,sk_c6) ),
inference(instantiation,[status(thm)],[c_857]) ).
cnf(c_4570,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_894,c_1497]) ).
cnf(c_4577,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_950,c_72,c_950]) ).
cnf(c_4594,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_951,c_70,c_951]) ).
cnf(c_5787,plain,
( multiply(X0,sk_c6) != multiply(X1,X2)
| inverse(sk_c3) != multiply(X1,X2)
| inverse(sk_c3) = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_2155]) ).
cnf(c_5788,plain,
( multiply(X0,X1) != sk_c7
| inverse(sk_c3) != sk_c7
| inverse(sk_c3) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1015]) ).
cnf(c_5789,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c7,sk_c7)
| inverse(sk_c3) != multiply(sk_c7,sk_c7)
| inverse(sk_c3) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_5787]) ).
cnf(c_5790,plain,
( multiply(sk_c7,sk_c7) != sk_c7
| inverse(sk_c3) != sk_c7
| inverse(sk_c3) = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_5788]) ).
cnf(c_5957,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2247,c_2253]) ).
cnf(c_5966,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5957,c_2246]) ).
cnf(c_6306,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1030,c_62,c_1030]) ).
cnf(c_6319,plain,
( ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1104,c_1107,c_1580,c_2177]) ).
cnf(c_6325,plain,
( ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1105,c_1107,c_1580,c_2319]) ).
cnf(c_7133,plain,
( inverse(sk_c3) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| inverse(sk_c3) = sk_c5 ),
inference(instantiation,[status(thm)],[c_3448]) ).
cnf(c_7300,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_1947]) ).
cnf(c_7345,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_7300,c_332]) ).
cnf(c_7496,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_627]) ).
cnf(c_8443,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_7345]) ).
cnf(c_8471,plain,
( ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_948,c_71,c_948]) ).
cnf(c_8509,plain,
( sk_c7 != identity
| sk_c5 != sk_c5
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_953,c_1557]) ).
cnf(c_8510,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_8509]) ).
cnf(c_8534,plain,
( ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1102,c_61,c_1102]) ).
cnf(c_8546,plain,
( sk_c6 != identity
| ~ sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1107,c_1107,c_1580]) ).
cnf(c_9027,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_1881]) ).
cnf(c_9039,plain,
( multiply(sk_c7,multiply(multiply(sk_c6,inverse(sk_c5)),X0)) = multiply(identity,X0)
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_3141,c_77]) ).
cnf(c_9051,plain,
( multiply(sk_c7,multiply(multiply(sk_c6,inverse(sk_c5)),X0)) = X0
| inverse(sk_c3) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_9039,c_75]) ).
cnf(c_9737,plain,
( inverse(sk_c7) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_3163,c_1948]) ).
cnf(c_10478,plain,
( multiply(sk_c4,sk_c6) = identity
| inverse(sk_c7) = identity ),
inference(superposition,[status(thm)],[c_9737,c_1549]) ).
cnf(c_10978,plain,
( multiply(sk_c6,X0) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_634,c_1946]) ).
cnf(c_11256,plain,
( multiply(sk_c6,X0) = X0
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_635,c_1947]) ).
cnf(c_12167,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_639,c_1948]) ).
cnf(c_15394,plain,
( sP2_iProver_split
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c4) = sk_c6
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1234,c_1234,c_4577,c_6319]) ).
cnf(c_15395,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_15394]) ).
cnf(c_15407,plain,
( sP2_iProver_split
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c3) = sk_c7
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1235,c_1235,c_4594,c_6325]) ).
cnf(c_15408,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP2_iProver_split ),
inference(renaming,[status(thm)],[c_15407]) ).
cnf(c_16389,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_330]) ).
cnf(c_16391,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_16389,c_5966]) ).
cnf(c_16479,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_332]) ).
cnf(c_16481,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_16479,c_5966]) ).
cnf(c_20895,plain,
( inverse(sk_c4) != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_split
| inverse(sk_c7) = identity ),
inference(superposition,[status(thm)],[c_10478,c_330]) ).
cnf(c_21462,plain,
( sk_c7 != sk_c5
| inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_10978,c_15395]) ).
cnf(c_21597,plain,
( sk_c7 != sk_c5
| inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_11256,c_15408]) ).
cnf(c_22174,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_12167,c_2710]) ).
cnf(c_22176,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_12167,c_52]) ).
cnf(c_22325,plain,
inverse(sk_c4) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_22174,c_2177,c_2391,c_2746,c_16391,c_16481,c_21462,c_22176,c_22174]) ).
cnf(c_22401,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_22325,c_1555]) ).
cnf(c_22403,plain,
inverse(sk_c6) = sk_c4,
inference(superposition,[status(thm)],[c_22325,c_1557]) ).
cnf(c_22436,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_750,c_22403]) ).
cnf(c_22437,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c5 ),
inference(demodulation,[status(thm)],[c_749,c_22403]) ).
cnf(c_23021,plain,
( multiply(sk_c7,multiply(sk_c6,multiply(inverse(sk_c5),X0))) = X0
| inverse(sk_c3) = sk_c7 ),
inference(demodulation,[status(thm)],[c_9051,c_1551,c_1557]) ).
cnf(c_23030,plain,
( multiply(sk_c7,multiply(sk_c6,identity)) = sk_c5
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_23021]) ).
cnf(c_24064,plain,
( X0 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1164]) ).
cnf(c_24065,plain,
( X0 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_24068,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_24065]) ).
cnf(c_24069,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_24064]) ).
cnf(c_24133,plain,
inverse(sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_23030,c_341,c_858,c_932,c_1161,c_1162,c_2415,c_2466,c_2853,c_2876,c_4513,c_8443,c_16391,c_21597,c_24069]) ).
cnf(c_24140,plain,
( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1736,c_24133]) ).
cnf(c_24176,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_754,c_24133]) ).
cnf(c_24198,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_24133,c_1555]) ).
cnf(c_24199,plain,
multiply(sk_c3,sk_c7) = identity,
inference(superposition,[status(thm)],[c_24133,c_1549]) ).
cnf(c_24200,plain,
inverse(sk_c7) = sk_c3,
inference(superposition,[status(thm)],[c_24133,c_1557]) ).
cnf(c_24572,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_24176,c_24140]) ).
cnf(c_25143,plain,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_22436,c_73]) ).
cnf(c_25144,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_22436,c_63]) ).
cnf(c_25163,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_25144,c_760]) ).
cnf(c_25165,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_25144,c_758]) ).
cnf(c_25193,plain,
( inverse(sk_c2) = sk_c5
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_25143,c_73,c_341,c_858,c_1160,c_1615,c_3012,c_22437]) ).
cnf(c_25203,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_25193,c_1549]) ).
cnf(c_25576,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_25203,c_68]) ).
cnf(c_25578,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_25203,c_64]) ).
cnf(c_25663,plain,
( sk_c7 = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_25576,c_341,c_858,c_932,c_1083,c_1161,c_1162,c_2415,c_4513,c_24068,c_25165,c_25576]) ).
cnf(c_25664,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_25663]) ).
cnf(c_25672,plain,
( multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_25664,c_77]) ).
cnf(c_25714,plain,
( sk_c7 = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_25578,c_341,c_858,c_932,c_1083,c_1161,c_1162,c_2415,c_4513,c_24068,c_25163,c_25578]) ).
cnf(c_25715,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(renaming,[status(thm)],[c_25714]) ).
cnf(c_25727,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_25715,c_22401]) ).
cnf(c_25752,plain,
sk_c7 = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_25672,c_341,c_858,c_1083,c_1160,c_1317,c_3012,c_25664,c_25727]) ).
cnf(c_25814,plain,
( sk_c7 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_8546,c_25752]) ).
cnf(c_25816,plain,
( ~ sP3_iProver_split
| multiply(sk_c3,sk_c7) = sk_c7 ),
inference(demodulation,[status(thm)],[c_8534,c_25752]) ).
cnf(c_25821,plain,
( ~ sP1_iProver_split
| multiply(sk_c3,sk_c7) = sk_c7 ),
inference(demodulation,[status(thm)],[c_8471,c_25752]) ).
cnf(c_25825,plain,
( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_627,c_25752]) ).
cnf(c_25830,plain,
( sk_c7 != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_4570,c_25752]) ).
cnf(c_25836,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c7 ),
inference(demodulation,[status(thm)],[c_759,c_25752]) ).
cnf(c_25837,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
inference(demodulation,[status(thm)],[c_758,c_25752]) ).
cnf(c_25840,plain,
( multiply(sk_c7,sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_334,c_25752]) ).
cnf(c_25842,plain,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_332,c_25752]) ).
cnf(c_25858,plain,
multiply(sk_c7,sk_c7) = sk_c5,
inference(demodulation,[status(thm)],[c_49,c_25752]) ).
cnf(c_25864,plain,
( ~ sP1_iProver_split
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_25821,c_24199]) ).
cnf(c_25869,plain,
( ~ sP3_iProver_split
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_25816,c_24199]) ).
cnf(c_25872,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_25814,c_25869]) ).
cnf(c_25879,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_25840,c_25872,c_25858]) ).
cnf(c_25901,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_25830]) ).
cnf(c_25916,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c7
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_25836,c_24199]) ).
cnf(c_25941,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c1) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_25825,c_24198]) ).
cnf(c_25985,plain,
( multiply(sk_c3,sk_c5) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_7496,c_25858]) ).
cnf(c_25996,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_25941]) ).
cnf(c_26019,plain,
multiply(sk_c3,sk_c5) = sk_c7,
inference(superposition,[status(thm)],[c_25858,c_24198]) ).
cnf(c_26031,plain,
( inverse(sk_c1) = sk_c7
| sP0_iProver_split
| sP1_iProver_split ),
inference(superposition,[status(thm)],[c_25879,c_6306]) ).
cnf(c_26109,plain,
inverse(sk_c1) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_25985,c_59,c_341,c_836,c_858,c_893,c_932,c_935,c_936,c_1083,c_1160,c_1161,c_1162,c_1317,c_1505,c_1594,c_2415,c_2466,c_2853,c_2876,c_3012,c_3574,c_4513,c_5789,c_5790,c_7133,c_8443,c_9027,c_16391,c_21597,c_24069,c_24572,c_25664,c_25727,c_25996,c_26019,c_26031]) ).
cnf(c_26115,plain,
inverse(sk_c7) = sk_c1,
inference(superposition,[status(thm)],[c_26109,c_1557]) ).
cnf(c_26118,plain,
sk_c3 = sk_c1,
inference(light_normalisation,[status(thm)],[c_26115,c_24200]) ).
cnf(c_26168,plain,
~ sP1_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_25864,c_8510]) ).
cnf(c_26169,plain,
( sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_25879,c_26168]) ).
cnf(c_26178,plain,
( inverse(sk_c3) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_26019,c_25842]) ).
cnf(c_26182,plain,
~ sP2_iProver_split,
inference(forward_subsumption_resolution,[status(thm)],[c_26178,c_24133]) ).
cnf(c_26184,plain,
sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_26169,c_26182]) ).
cnf(c_26189,plain,
sk_c7 != identity,
inference(global_subsumption_just,[status(thm)],[c_20895,c_25901,c_26184]) ).
cnf(c_26205,plain,
multiply(inverse(sk_c1),sk_c7) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_25837,c_25901,c_25916,c_26184]) ).
cnf(c_26207,plain,
sk_c7 = sk_c5,
inference(light_normalisation,[status(thm)],[c_26205,c_24133,c_25858,c_26118]) ).
cnf(c_26208,plain,
multiply(sk_c3,sk_c7) = sk_c7,
inference(demodulation,[status(thm)],[c_26019,c_26207]) ).
cnf(c_26215,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_26208,c_24199]) ).
cnf(c_26216,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_26215,c_26189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP291-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 00:07:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.85/1.65 % SZS status Started for theBenchmark.p
% 7.85/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.65
% 7.85/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.85/1.65
% 7.85/1.65 ------ iProver source info
% 7.85/1.65
% 7.85/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.85/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.85/1.65 git: non_committed_changes: false
% 7.85/1.65 git: last_make_outside_of_git: false
% 7.85/1.65
% 7.85/1.65 ------ Parsing...successful
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.85/1.65
% 7.85/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.85/1.65
% 7.85/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.85/1.65 ------ Proving...
% 7.85/1.65 ------ Problem Properties
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65 clauses 33
% 7.85/1.65 conjectures 30
% 7.85/1.65 EPR 0
% 7.85/1.65 Horn 7
% 7.85/1.65 unary 3
% 7.85/1.65 binary 25
% 7.85/1.65 lits 71
% 7.85/1.65 lits eq 63
% 7.85/1.65 fd_pure 0
% 7.85/1.65 fd_pseudo 0
% 7.85/1.65 fd_cond 0
% 7.85/1.65 fd_pseudo_cond 0
% 7.85/1.65 AC symbols 0
% 7.85/1.65
% 7.85/1.65 ------ Schedule dynamic 5 is on
% 7.85/1.65
% 7.85/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65 ------
% 7.85/1.65 Current options:
% 7.85/1.65 ------
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65 ------ Proving...
% 7.85/1.65
% 7.85/1.65
% 7.85/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.85/1.65
% 7.85/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.85/1.65
% 7.85/1.65
%------------------------------------------------------------------------------