TSTP Solution File: GRP295-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 00:59:11 EDT 2023
% Result : Unsatisfiable 8.06s 1.65s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 30
% Syntax : Number of clauses : 271 ( 65 unt; 101 nHn; 236 RR)
% Number of literals : 608 ( 561 equ; 237 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 130 ( 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_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
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_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
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_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_65,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,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_79]) ).
cnf(c_380,negated_conjecture,
( multiply(X0,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_79]) ).
cnf(c_381,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_79]) ).
cnf(c_382,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_79]) ).
cnf(c_383,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| 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_79]) ).
cnf(c_384,plain,
X0 = X0,
theory(equality) ).
cnf(c_385,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_386,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_390,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_391,plain,
( multiply(sk_c7,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c7
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_379]) ).
cnf(c_613,plain,
( multiply(sk_c7,sk_c2) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_81]) ).
cnf(c_781,plain,
( inverse(sk_c2) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_380]) ).
cnf(c_782,plain,
( inverse(sk_c2) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_380]) ).
cnf(c_784,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_380]) ).
cnf(c_847,plain,
( inverse(sk_c4) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_381]) ).
cnf(c_876,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c5 != X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_891,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_382]) ).
cnf(c_892,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_382]) ).
cnf(c_899,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_382]) ).
cnf(c_957,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_876]) ).
cnf(c_958,plain,
multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c6),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_959,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| multiply(sk_c7,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_964,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c5 != X0
| sk_c5 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_974,plain,
( multiply(X0,X1) != X2
| sk_c5 != X2
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_977,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_978,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_993,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| 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_383]) ).
cnf(c_1010,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_1011,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_1012,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1025,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_66,c_82]) ).
cnf(c_1046,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1051,plain,
( multiply(sk_c7,multiply(sk_c2,X0)) = multiply(identity,X0)
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_613,c_82]) ).
cnf(c_1057,plain,
( multiply(sk_c7,multiply(sk_c2,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_1051,c_80]) ).
cnf(c_1172,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1173,plain,
( multiply(sk_c7,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_1172]) ).
cnf(c_1179,plain,
( multiply(sk_c7,sk_c6) != multiply(X0,sk_c6)
| X1 != multiply(X0,sk_c6)
| multiply(sk_c7,sk_c6) = X1 ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_1185,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_1186,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1185]) ).
cnf(c_1193,plain,
( multiply(X0,sk_c6) != X1
| X2 != X1
| X2 = multiply(X0,sk_c6) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1201,plain,
( multiply(X0,X1) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_1204,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| X0 != sk_c5
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_1206,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != sk_c5
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1204]) ).
cnf(c_1210,plain,
( multiply(X0,X1) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_1218,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_1185]) ).
cnf(c_1222,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1225,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1046,c_80]) ).
cnf(c_1234,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_1225]) ).
cnf(c_1235,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_49,c_1225]) ).
cnf(c_1236,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_66,c_1225]) ).
cnf(c_1237,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_1225]) ).
cnf(c_1239,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_1225]) ).
cnf(c_1240,plain,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_1225]) ).
cnf(c_1243,plain,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_1225]) ).
cnf(c_1245,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_1225]) ).
cnf(c_1247,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1225]) ).
cnf(c_1248,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_1225]) ).
cnf(c_1249,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_1225]) ).
cnf(c_1250,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_1225]) ).
cnf(c_1254,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1225]) ).
cnf(c_1255,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_1225]) ).
cnf(c_1257,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1225]) ).
cnf(c_1258,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_82,c_1225]) ).
cnf(c_1263,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1225,c_1225]) ).
cnf(c_1336,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_1012]) ).
cnf(c_1371,plain,
( X0 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_1374,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1371]) ).
cnf(c_1389,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1442,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1478,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1257,c_1263]) ).
cnf(c_1643,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1263,c_81]) ).
cnf(c_1648,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1263,c_1225]) ).
cnf(c_1649,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1263,c_1478]) ).
cnf(c_1650,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1649,c_1478]) ).
cnf(c_1673,plain,
inverse(inverse(sk_c7)) = sk_c7,
inference(instantiation,[status(thm)],[c_1650]) ).
cnf(c_1704,plain,
( X0 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1222]) ).
cnf(c_1705,plain,
( sk_c7 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c4,sk_c5)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1704]) ).
cnf(c_1799,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_1909,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_1193]) ).
cnf(c_1910,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_1909]) ).
cnf(c_1923,plain,
( X0 != X1
| sk_c6 != X2
| multiply(X0,sk_c6) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_2005,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1643]) ).
cnf(c_2007,plain,
( multiply(sk_c2,sk_c7) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1643]) ).
cnf(c_2096,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1648]) ).
cnf(c_2097,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1648]) ).
cnf(c_2391,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2005,c_55]) ).
cnf(c_2571,plain,
( inverse(sk_c3) = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2007,c_70]) ).
cnf(c_2593,plain,
( inverse(sk_c1) != sk_c7
| X0 != sk_c7
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_1389]) ).
cnf(c_2648,plain,
( inverse(X0) != X1
| sk_c7 != X1
| sk_c7 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_3006,plain,
( multiply(inverse(sk_c4),multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_1243,c_82]) ).
cnf(c_3049,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_964]) ).
cnf(c_3051,plain,
( multiply(X0,X1) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_3052,plain,
( multiply(sk_c7,sk_c7) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_3051]) ).
cnf(c_3053,plain,
( X0 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1442]) ).
cnf(c_3061,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1247]) ).
cnf(c_3095,plain,
( X0 != multiply(sk_c3,sk_c6)
| sk_c6 != multiply(sk_c3,sk_c6)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1222]) ).
cnf(c_3100,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| sk_c6 != multiply(sk_c3,sk_c6)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_3095]) ).
cnf(c_3104,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c3,sk_c6)
| X0 != multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_1179]) ).
cnf(c_3113,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X0) = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_1909]) ).
cnf(c_3125,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3061,c_52]) ).
cnf(c_3182,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1248]) ).
cnf(c_3184,plain,
( multiply(inverse(sk_c1),multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_1248,c_82]) ).
cnf(c_3285,plain,
( multiply(sk_c4,sk_c5) != X0
| X1 != X0
| X1 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_3286,plain,
( multiply(sk_c4,sk_c5) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_3285]) ).
cnf(c_4033,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_4036,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_4114,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3182,c_50]) ).
cnf(c_4239,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_1249,c_379]) ).
cnf(c_4254,plain,
( sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4239,c_1650]) ).
cnf(c_4270,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_1250,c_379]) ).
cnf(c_4282,plain,
( sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4270,c_1650]) ).
cnf(c_4297,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1254]) ).
cnf(c_4368,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4297,c_67]) ).
cnf(c_4422,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1255]) ).
cnf(c_4743,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4422,c_65]) ).
cnf(c_4854,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_2593]) ).
cnf(c_4935,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_782,c_784,c_1673,c_2571]) ).
cnf(c_5119,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_847,c_62,c_847]) ).
cnf(c_5172,plain,
( ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_892,c_899,c_1673,c_2391]) ).
cnf(c_5371,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_1057]) ).
cnf(c_5516,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_2648]) ).
cnf(c_5968,plain,
( X0 != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1442]) ).
cnf(c_5970,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_5968]) ).
cnf(c_6013,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_1172]) ).
cnf(c_6045,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1201]) ).
cnf(c_6237,plain,
( multiply(X0,X1) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(X0,X1) = sk_c5 ),
inference(instantiation,[status(thm)],[c_3053]) ).
cnf(c_6560,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1643,c_1258]) ).
cnf(c_6589,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6560,c_1478]) ).
cnf(c_7289,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(sk_c3) != sk_c7
| inverse(sk_c3) = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_3113]) ).
cnf(c_8339,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1225,c_6589]) ).
cnf(c_9180,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_2096]) ).
cnf(c_9335,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_9180,c_381]) ).
cnf(c_9364,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_2097]) ).
cnf(c_9414,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_9364,c_381]) ).
cnf(c_10950,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_9335,c_62,c_847,c_977,c_1186,c_4368,c_4854,c_9335]) ).
cnf(c_10956,plain,
( ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_9414,c_977,c_1186,c_4743,c_4854,c_5119,c_9414]) ).
cnf(c_11083,plain,
( sk_c5 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_784,c_784,c_1673]) ).
cnf(c_11152,plain,
( sk_c6 != identity
| ~ sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_899,c_899,c_1673]) ).
cnf(c_11379,plain,
( multiply(X0,X1) != sk_c6
| X2 != sk_c6
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_4036]) ).
cnf(c_11381,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != sk_c6
| sk_c7 = multiply(sk_c7,sk_c7) ),
inference(instantiation,[status(thm)],[c_11379]) ).
cnf(c_17092,plain,
( X0 != sk_c6
| sk_c5 != sk_c6
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1442]) ).
cnf(c_17097,plain,
( sk_c7 != sk_c6
| sk_c5 != sk_c6
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_17092]) ).
cnf(c_17533,plain,
( sk_c6 != X0
| sk_c5 != X0
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_17536,plain,
( sk_c6 != sk_c7
| sk_c5 != sk_c7
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_17533]) ).
cnf(c_20731,plain,
( multiply(sk_c7,sk_c6) != sk_c6
| X0 != sk_c6
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_20736,plain,
( multiply(sk_c7,sk_c6) != sk_c6
| sk_c7 != sk_c6
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_20731]) ).
cnf(c_20766,plain,
( multiply(sk_c7,sk_c6) != inverse(sk_c3)
| X0 != inverse(sk_c3)
| multiply(sk_c7,sk_c6) = X0 ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_20767,plain,
( multiply(sk_c7,sk_c6) != inverse(sk_c3)
| sk_c7 != inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(instantiation,[status(thm)],[c_20766]) ).
cnf(c_21652,plain,
( X0 != multiply(X1,X2)
| sk_c5 != multiply(X1,X2)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_1012]) ).
cnf(c_21653,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c5 != multiply(sk_c7,sk_c7)
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_21652]) ).
cnf(c_21858,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c3,sk_c6) != sk_c5
| multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_1204]) ).
cnf(c_22319,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c3,sk_c6)
| inverse(sk_c3) != multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_3104]) ).
cnf(c_23081,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_6013]) ).
cnf(c_23082,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c7),
inference(instantiation,[status(thm)],[c_4033]) ).
cnf(c_23085,plain,
( X0 != sk_c6
| sk_c6 != sk_c7
| multiply(X0,sk_c6) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1923]) ).
cnf(c_23086,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c7
| multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_23085]) ).
cnf(c_23703,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != sk_c5
| multiply(sk_c7,sk_c6) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1204]) ).
cnf(c_24955,plain,
( multiply(sk_c3,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c3,sk_c6) ),
inference(instantiation,[status(thm)],[c_1185]) ).
cnf(c_27075,plain,
( sk_c6 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1336]) ).
cnf(c_31793,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_6237]) ).
cnf(c_31866,plain,
inverse(sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_3184,c_65,c_50,c_383,c_977,c_1010,c_1011,c_1186,c_4114,c_4282,c_4743,c_4935,c_5172,c_6045,c_10956,c_23081,c_23082,c_23086,c_31793]) ).
cnf(c_31910,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(demodulation,[status(thm)],[c_1237,c_31866]) ).
cnf(c_31911,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(demodulation,[status(thm)],[c_1236,c_31866]) ).
cnf(c_31921,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1239,c_31866]) ).
cnf(c_31949,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_31866,c_1648]) ).
cnf(c_31950,plain,
multiply(sk_c3,sk_c7) = identity,
inference(superposition,[status(thm)],[c_31866,c_1643]) ).
cnf(c_31951,plain,
inverse(sk_c7) = sk_c3,
inference(superposition,[status(thm)],[c_31866,c_1650]) ).
cnf(c_31953,plain,
multiply(sk_c7,sk_c3) = identity,
inference(superposition,[status(thm)],[c_31866,c_81]) ).
cnf(c_32263,plain,
inverse(sk_c4) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_5371,c_77,c_62,c_67,c_52,c_781,c_891,c_977,c_993,c_1010,c_1011,c_1186,c_3125,c_4254,c_4368,c_6045,c_10950,c_23081,c_23082,c_23086,c_31793]) ).
cnf(c_32268,plain,
( multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_3006,c_32263]) ).
cnf(c_32308,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(demodulation,[status(thm)],[c_1240,c_32263]) ).
cnf(c_32348,plain,
inverse(sk_c6) = sk_c4,
inference(superposition,[status(thm)],[c_32263,c_1650]) ).
cnf(c_32349,plain,
multiply(sk_c6,multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_32263,c_1225]) ).
cnf(c_32350,plain,
multiply(sk_c6,sk_c4) = identity,
inference(superposition,[status(thm)],[c_32263,c_81]) ).
cnf(c_32368,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1235,c_32348]) ).
cnf(c_32372,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_1234,c_32348]) ).
cnf(c_32690,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_31910,c_53,c_49,c_390,c_957,c_958,c_977,c_1011,c_1218,c_1374,c_1705,c_1799,c_3049,c_3286,c_23086,c_32368]) ).
cnf(c_32701,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_383,c_32690]) ).
cnf(c_32702,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_32701]) ).
cnf(c_32710,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_32690,c_82]) ).
cnf(c_32712,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_32690,c_31949]) ).
cnf(c_32724,plain,
multiply(inverse(sk_c6),inverse(sk_c7)) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_32690,c_8339]) ).
cnf(c_32726,plain,
multiply(sk_c4,sk_c3) = inverse(sk_c5),
inference(light_normalisation,[status(thm)],[c_32724,c_31951,c_32348]) ).
cnf(c_32765,plain,
multiply(sk_c5,multiply(inverse(sk_c6),X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_1648,c_32710]) ).
cnf(c_32790,plain,
multiply(sk_c5,multiply(sk_c4,X0)) = multiply(sk_c7,X0),
inference(light_normalisation,[status(thm)],[c_32765,c_32348]) ).
cnf(c_32910,plain,
( inverse(sk_c3) != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_32712,c_381]) ).
cnf(c_32912,plain,
multiply(inverse(sk_c5),inverse(sk_c3)) = inverse(sk_c6),
inference(superposition,[status(thm)],[c_32712,c_8339]) ).
cnf(c_32914,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_32910,c_31866]) ).
cnf(c_32917,plain,
multiply(inverse(sk_c5),sk_c7) = sk_c4,
inference(light_normalisation,[status(thm)],[c_32912,c_31866,c_32348]) ).
cnf(c_32918,plain,
multiply(inverse(sk_c4),inverse(sk_c5)) = sk_c3,
inference(superposition,[status(thm)],[c_32726,c_1225]) ).
cnf(c_32921,plain,
multiply(sk_c6,inverse(sk_c5)) = sk_c3,
inference(light_normalisation,[status(thm)],[c_32918,c_32263]) ).
cnf(c_32932,plain,
multiply(sk_c5,sk_c4) = sk_c7,
inference(superposition,[status(thm)],[c_32917,c_1648]) ).
cnf(c_33183,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| multiply(sk_c7,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_32308,c_1025]) ).
cnf(c_33186,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_33183,c_32690,c_32712]) ).
cnf(c_34014,plain,
( multiply(sk_c5,multiply(sk_c4,X0)) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_32349,c_32268]) ).
cnf(c_34042,plain,
( multiply(sk_c7,X0) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_34014,c_32790]) ).
cnf(c_34077,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c7)
| inverse(sk_c1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_34042]) ).
cnf(c_34486,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_33186,c_31949]) ).
cnf(c_34585,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| sk_c7 = sk_c5
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34486,c_66]) ).
cnf(c_34587,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c5
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34486,c_61]) ).
cnf(c_34652,plain,
( inverse(sk_c1) = sk_c7
| sk_c6 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_34587,c_63,c_59,c_390,c_977,c_1011,c_1218,c_1374,c_1705,c_1799,c_3052,c_3286,c_11381,c_17536,c_21653,c_31921,c_32372,c_34077]) ).
cnf(c_34659,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34652,c_1245]) ).
cnf(c_34681,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c5
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_34659,c_32690]) ).
cnf(c_34691,plain,
( sk_c7 = sk_c5
| sk_c6 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_34585,c_65,c_50,c_53,c_49,c_390,c_383,c_957,c_958,c_977,c_1010,c_1011,c_1173,c_1186,c_1218,c_1374,c_1705,c_1799,c_3049,c_3286,c_4114,c_4282,c_4743,c_4935,c_5172,c_5516,c_5970,c_6045,c_7289,c_10956,c_20767,c_21858,c_22319,c_23081,c_23082,c_23086,c_31793,c_32368,c_34486,c_34681]) ).
cnf(c_34710,plain,
( multiply(sk_c6,inverse(sk_c6)) = sk_c3
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_34691,c_32921]) ).
cnf(c_34720,plain,
( multiply(sk_c3,sk_c6) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_34691,c_32712]) ).
cnf(c_34757,plain,
( sk_c7 = sk_c5
| sk_c3 = identity ),
inference(light_normalisation,[status(thm)],[c_34710,c_32348,c_32350]) ).
cnf(c_35653,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(identity,sk_c6) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_34757,c_66]) ).
cnf(c_35655,plain,
( multiply(identity,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_34757,c_61]) ).
cnf(c_35820,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_35655,c_63,c_390,c_977,c_1011,c_1218,c_1705,c_3286,c_17097,c_27075,c_32372,c_34652]) ).
cnf(c_35828,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_35820,c_1245]) ).
cnf(c_35849,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_35828,c_32690]) ).
cnf(c_35892,plain,
sk_c7 = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_35653,c_53,c_49,c_390,c_957,c_958,c_977,c_1010,c_1011,c_1173,c_1218,c_1374,c_1705,c_1799,c_1910,c_3049,c_3100,c_3286,c_5970,c_20736,c_23086,c_23703,c_24955,c_32368,c_34691,c_34720,c_35849]) ).
cnf(c_35926,plain,
multiply(sk_c7,sk_c4) = sk_c7,
inference(demodulation,[status(thm)],[c_32932,c_35892]) ).
cnf(c_35936,plain,
multiply(inverse(sk_c7),sk_c7) = sk_c4,
inference(demodulation,[status(thm)],[c_32917,c_35892]) ).
cnf(c_35938,plain,
multiply(sk_c3,sk_c7) = sk_c6,
inference(demodulation,[status(thm)],[c_32712,c_35892]) ).
cnf(c_35939,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(demodulation,[status(thm)],[c_31911,c_35892]) ).
cnf(c_35981,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c7 ),
inference(demodulation,[status(thm)],[c_73,c_35892]) ).
cnf(c_35989,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_35892]) ).
cnf(c_35993,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_35938,c_31950]) ).
cnf(c_35997,plain,
sk_c4 = identity,
inference(light_normalisation,[status(thm)],[c_35936,c_31950,c_31951]) ).
cnf(c_36118,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_11152,c_35993]) ).
cnf(c_36125,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_32914,c_35993]) ).
cnf(c_36212,plain,
( multiply(identity,sk_c7) = identity
| inverse(sk_c2) = sk_c7 ),
inference(light_normalisation,[status(thm)],[c_35989,c_35993,c_35997]) ).
cnf(c_36213,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_36212,c_80]) ).
cnf(c_36222,plain,
( multiply(sk_c7,sk_c2) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36213,c_81]) ).
cnf(c_36262,plain,
multiply(sk_c7,sk_c7) = identity,
inference(light_normalisation,[status(thm)],[c_35939,c_35993]) ).
cnf(c_36264,plain,
multiply(sk_c7,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_36262,c_82]) ).
cnf(c_36269,plain,
multiply(sk_c7,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_36264,c_80]) ).
cnf(c_36282,plain,
( multiply(sk_c2,sk_c7) = sk_c7
| multiply(identity,sk_c7) = identity ),
inference(light_normalisation,[status(thm)],[c_35981,c_35993,c_35997]) ).
cnf(c_36283,plain,
( multiply(sk_c2,sk_c7) = sk_c7
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_36282,c_80]) ).
cnf(c_36330,plain,
multiply(sk_c7,identity) = sk_c3,
inference(superposition,[status(thm)],[c_31953,c_36269]) ).
cnf(c_36349,plain,
sk_c7 = sk_c3,
inference(light_normalisation,[status(thm)],[c_35926,c_35997,c_36330]) ).
cnf(c_36352,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm)],[c_31866,c_36349]) ).
cnf(c_36409,plain,
( multiply(sk_c7,identity) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36222,c_36269]) ).
cnf(c_36411,plain,
( sk_c7 = sk_c2
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_36409,c_36330,c_36349]) ).
cnf(c_36694,plain,
( multiply(sk_c7,sk_c7) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_36411,c_36283]) ).
cnf(c_36696,plain,
sk_c7 = identity,
inference(light_normalisation,[status(thm)],[c_36694,c_36262]) ).
cnf(c_36697,plain,
~ sP2_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_36125,c_36696]) ).
cnf(c_36706,plain,
sk_c5 = identity,
inference(demodulation,[status(thm)],[c_35892,c_36696]) ).
cnf(c_39996,plain,
( multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_32702,c_391,c_383,c_1206,c_11083,c_32690,c_35892,c_36118,c_36352,c_36697,c_36706]) ).
cnf(c_39998,plain,
multiply(identity,identity) != identity,
inference(light_normalisation,[status(thm)],[c_39996,c_35993,c_36696,c_36706]) ).
cnf(c_39999,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_39998,c_80]) ).
cnf(c_40000,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_39999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n003.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 : Mon Aug 28 20:29:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.06/1.65 % SZS status Started for theBenchmark.p
% 8.06/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.65
% 8.06/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.06/1.65
% 8.06/1.65 ------ iProver source info
% 8.06/1.65
% 8.06/1.65 git: date: 2023-05-31 18:12:56 +0000
% 8.06/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.06/1.65 git: non_committed_changes: false
% 8.06/1.65 git: last_make_outside_of_git: false
% 8.06/1.65
% 8.06/1.65 ------ Parsing...successful
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.06/1.65
% 8.06/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.06/1.65
% 8.06/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.06/1.65 ------ Proving...
% 8.06/1.65 ------ Problem Properties
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65 clauses 38
% 8.06/1.65 conjectures 35
% 8.06/1.65 EPR 0
% 8.06/1.65 Horn 7
% 8.06/1.65 unary 3
% 8.06/1.65 binary 30
% 8.06/1.65 lits 82
% 8.06/1.65 lits eq 74
% 8.06/1.65 fd_pure 0
% 8.06/1.65 fd_pseudo 0
% 8.06/1.65 fd_cond 0
% 8.06/1.65 fd_pseudo_cond 0
% 8.06/1.65 AC symbols 0
% 8.06/1.65
% 8.06/1.65 ------ Schedule dynamic 5 is on
% 8.06/1.65
% 8.06/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65 ------
% 8.06/1.65 Current options:
% 8.06/1.65 ------
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65 ------ Proving...
% 8.06/1.65
% 8.06/1.65
% 8.06/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.65
% 8.06/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.35/1.65
% 8.35/1.66
%------------------------------------------------------------------------------