TSTP Solution File: GRP221-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 00:58:45 EDT 2023
% Result : Unsatisfiable 9.88s 2.16s
% Output : CNFRefutation 9.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 46
% Syntax : Number of clauses : 238 ( 41 unt; 135 nHn; 213 RR)
% Number of literals : 532 ( 480 equ; 159 neg)
% Maximal clause size : 14 ( 2 avg)
% Maximal term depth : 5 ( 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 : 82 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,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_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,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_16) ).
cnf(c_65,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_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,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_34) ).
cnf(c_83,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_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_88,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_40) ).
cnf(c_89,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_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,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
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_99,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_100,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_101,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
| inverse(sk_c10) != sk_c9 ),
inference(unflattening,[status(thm)],[c_97]) ).
cnf(c_103,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_542,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_101]) ).
cnf(c_543,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_101]) ).
cnf(c_544,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_101]) ).
cnf(c_545,negated_conjecture,
( inverse(sk_c10) != sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).
cnf(c_546,plain,
X0 = X0,
theory(equality) ).
cnf(c_547,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_548,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_550,plain,
( sk_c10 != sk_c10
| inverse(sk_c10) = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_548]) ).
cnf(c_552,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_546]) ).
cnf(c_1051,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_543]) ).
cnf(c_1053,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_93,c_543]) ).
cnf(c_1054,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_69,c_543]) ).
cnf(c_1055,plain,
( inverse(sk_c6) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_543]) ).
cnf(c_1057,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_58,c_543]) ).
cnf(c_1058,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_57,c_543]) ).
cnf(c_1060,plain,
( inverse(sk_c1) != sk_c10
| ~ sP1_iProver_split
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_56,c_543]) ).
cnf(c_1109,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c7) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_83,c_544]) ).
cnf(c_1111,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c7) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_95,c_544]) ).
cnf(c_1112,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c7) != sk_c10
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_71,c_544]) ).
cnf(c_1113,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_53,c_544]) ).
cnf(c_1119,plain,
( multiply(sk_c10,sk_c5) != sk_c9
| inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(superposition,[status(thm)],[c_88,c_544]) ).
cnf(c_1125,plain,
( inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_544]) ).
cnf(c_1236,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_99,c_100]) ).
cnf(c_1403,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c9 != X1
| multiply(inverse(X0),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_1406,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_1407,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1406]) ).
cnf(c_1408,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_546]) ).
cnf(c_1409,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_1414,plain,
( multiply(sk_c10,sk_c8) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_1419,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_1444,plain,
( X0 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_1445,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1444]) ).
cnf(c_1462,plain,
( multiply(sk_c10,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_1463,plain,
( multiply(sk_c10,sk_c8) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c10,sk_c8) ),
inference(instantiation,[status(thm)],[c_1462]) ).
cnf(c_1487,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1236,c_98]) ).
cnf(c_1500,plain,
( multiply(inverse(sk_c6),sk_c10) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_69,c_1487]) ).
cnf(c_1507,plain,
( multiply(inverse(sk_c7),sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_95,c_1487]) ).
cnf(c_1509,plain,
( multiply(inverse(sk_c7),sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(superposition,[status(thm)],[c_53,c_1487]) ).
cnf(c_1518,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_63,c_1487]) ).
cnf(c_1529,plain,
( multiply(inverse(sk_c10),sk_c9) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_79,c_1487]) ).
cnf(c_1534,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_86,c_1487]) ).
cnf(c_1535,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_85,c_1487]) ).
cnf(c_1536,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_98,c_1487]) ).
cnf(c_1537,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_99,c_1487]) ).
cnf(c_1548,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1487,c_1487]) ).
cnf(c_1727,plain,
( inverse(sk_c10) != X0
| X1 != X0
| inverse(sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_1760,plain,
( inverse(inverse(identity)) != sk_c10
| multiply(sk_c10,sk_c10) != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1536,c_544]) ).
cnf(c_1769,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1537,c_1548]) ).
cnf(c_1801,plain,
( multiply(sk_c10,inverse(sk_c10)) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_99,c_542]) ).
cnf(c_1910,plain,
( multiply(inverse(inverse(sk_c6)),sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(superposition,[status(thm)],[c_1500,c_1487]) ).
cnf(c_2145,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1548,c_99]) ).
cnf(c_2148,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1548,c_1487]) ).
cnf(c_2149,plain,
inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1548,c_1769]) ).
cnf(c_2150,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2149,c_1769]) ).
cnf(c_2179,plain,
( multiply(inverse(X0),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_542,c_2145]) ).
cnf(c_2184,plain,
inverse(inverse(sk_c10)) = sk_c10,
inference(instantiation,[status(thm)],[c_2150]) ).
cnf(c_2198,plain,
( multiply(inverse(sk_c10),sk_c10) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_2179]) ).
cnf(c_2474,plain,
( inverse(sk_c10) = sk_c1
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_49,c_2150]) ).
cnf(c_2518,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_72,c_2145]) ).
cnf(c_2519,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_68,c_2145]) ).
cnf(c_2520,plain,
( multiply(sk_c2,sk_c3) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_67,c_2145]) ).
cnf(c_2521,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c7) = sk_c10 ),
inference(superposition,[status(thm)],[c_96,c_2145]) ).
cnf(c_2522,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_92,c_2145]) ).
cnf(c_2523,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_91,c_2145]) ).
cnf(c_2529,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_2145,c_100]) ).
cnf(c_2573,plain,
( multiply(sk_c1,multiply(sk_c10,X0)) = X0
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_50,c_2148]) ).
cnf(c_2577,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = X0
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_67,c_2148]) ).
cnf(c_2580,plain,
( multiply(sk_c4,multiply(sk_c10,X0)) = X0
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_91,c_2148]) ).
cnf(c_2586,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_2148,c_544]) ).
cnf(c_2609,plain,
( sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2586,c_2150]) ).
cnf(c_2641,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_2938,plain,
( inverse(sk_c10) != inverse(sk_c10)
| X0 != inverse(sk_c10)
| inverse(sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_1727]) ).
cnf(c_2939,plain,
( inverse(sk_c10) != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_2938]) ).
cnf(c_3272,plain,
( inverse(sk_c7) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2518,c_66]) ).
cnf(c_3286,plain,
( multiply(sk_c10,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3272,c_1509]) ).
cnf(c_3288,plain,
( multiply(sk_c10,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3272,c_1507]) ).
cnf(c_3290,plain,
( multiply(sk_c7,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3272,c_2145]) ).
cnf(c_3351,plain,
( inverse(sk_c6) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2519,c_62]) ).
cnf(c_3373,plain,
( inverse(sk_c10) = sk_c6
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3351,c_2150]) ).
cnf(c_3450,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_99,c_100]) ).
cnf(c_3582,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2520,c_61]) ).
cnf(c_3601,plain,
( sk_c9 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_3582,c_545]) ).
cnf(c_3659,plain,
( inverse(sk_c7) = sk_c10
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2521,c_90]) ).
cnf(c_3716,plain,
( multiply(sk_c7,sk_c10) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_3659,c_2145]) ).
cnf(c_3940,plain,
( sk_c9 = sk_c6
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3373,c_3582]) ).
cnf(c_4046,plain,
( inverse(sk_c6) = sk_c10
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2522,c_86]) ).
cnf(c_4072,plain,
( inverse(sk_c10) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_4046,c_2150]) ).
cnf(c_4118,plain,
( inverse(sk_c10) = sk_c9
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2523,c_85]) ).
cnf(c_4661,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_4940,plain,
( multiply(sk_c2,multiply(sk_c3,inverse(sk_c9))) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_61,c_2529]) ).
cnf(c_4957,plain,
( multiply(sk_c4,multiply(sk_c10,inverse(sk_c5))) = identity
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_85,c_2529]) ).
cnf(c_5513,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3450,c_98]) ).
cnf(c_5562,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_98,c_5513]) ).
cnf(c_5563,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_99,c_5513]) ).
cnf(c_5574,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5513,c_5513]) ).
cnf(c_5804,plain,
( sk_c9 = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_4072,c_4118]) ).
cnf(c_5877,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c7) = sk_c10
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_5804,c_84]) ).
cnf(c_6122,plain,
( multiply(sk_c1,sk_c9) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_2474,c_1529]) ).
cnf(c_6541,plain,
( multiply(sk_c10,sk_c5) = sk_c10
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_92,c_1534]) ).
cnf(c_6572,plain,
( inverse(sk_c6) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_6541,c_80]) ).
cnf(c_6593,plain,
( inverse(sk_c10) = sk_c6
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_6572,c_2150]) ).
cnf(c_6623,plain,
( multiply(sk_c10,sk_c5) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(superposition,[status(thm)],[c_91,c_1535]) ).
cnf(c_6651,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_6623,c_79]) ).
cnf(c_6971,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_5563,c_5574]) ).
cnf(c_6979,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_6971,c_5562]) ).
cnf(c_6995,plain,
( sk_c10 = sk_c9
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_6593,c_6651]) ).
cnf(c_7288,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1053,c_92,c_1053]) ).
cnf(c_7300,plain,
( ~ sP1_iProver_split
| inverse(sk_c1) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1055,c_50,c_1055]) ).
cnf(c_7312,plain,
( ~ sP1_iProver_split
| inverse(sk_c6) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1060,c_1060,c_7300]) ).
cnf(c_10617,plain,
( multiply(sk_c1,sk_c9) = sk_c5
| inverse(sk_c6) = sk_c10 ),
inference(superposition,[status(thm)],[c_80,c_2573]) ).
cnf(c_10729,plain,
( inverse(sk_c6) = sk_c10
| sk_c10 = sk_c5 ),
inference(superposition,[status(thm)],[c_10617,c_56]) ).
cnf(c_10755,plain,
( inverse(sk_c10) = sk_c6
| sk_c10 = sk_c5 ),
inference(superposition,[status(thm)],[c_10729,c_2150]) ).
cnf(c_12831,plain,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3290,c_83]) ).
cnf(c_12833,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3290,c_95]) ).
cnf(c_12834,plain,
( inverse(sk_c2) = sk_c3
| sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3290,c_71]) ).
cnf(c_15408,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| sk_c9 != identity
| multiply(inverse(sk_c10),sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1403]) ).
cnf(c_15678,plain,
( inverse(sk_c10) != X0
| sk_c9 != X0
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1419]) ).
cnf(c_15679,plain,
( inverse(sk_c10) != sk_c10
| sk_c9 != sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(instantiation,[status(thm)],[c_15678]) ).
cnf(c_16731,plain,
( inverse(sk_c4) = sk_c10
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_12833,c_103,c_96,c_91,c_94,c_545,c_1111,c_2198,c_7288,c_12833,c_15408]) ).
cnf(c_16747,plain,
( multiply(sk_c4,sk_c10) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16731,c_2145]) ).
cnf(c_16796,plain,
( inverse(sk_c2) = sk_c3
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_12834,c_103,c_72,c_68,c_67,c_70,c_545,c_1054,c_1112,c_2198,c_12834,c_15408]) ).
cnf(c_16809,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16796,c_2145]) ).
cnf(c_17643,plain,
( ~ sP1_iProver_split
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1051,c_1051,c_7312]) ).
cnf(c_17667,plain,
( ~ sP1_iProver_split
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1058,c_50,c_1055,c_1058]) ).
cnf(c_22334,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c9) = identity ),
inference(superposition,[status(thm)],[c_4940,c_2577]) ).
cnf(c_24759,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_98,c_543]) ).
cnf(c_24764,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_24759,c_6979]) ).
cnf(c_28866,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_16747,c_89]) ).
cnf(c_28934,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16809,c_65]) ).
cnf(c_30961,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c5) = identity ),
inference(superposition,[status(thm)],[c_4957,c_2580]) ).
cnf(c_31496,plain,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_12831,c_103,c_84,c_79,c_82,c_545,c_1109,c_2198,c_12831,c_15408,c_17643]) ).
cnf(c_34573,plain,
( sk_c8 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_28866,c_3716]) ).
cnf(c_34681,plain,
( sk_c9 = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_28934,c_3290]) ).
cnf(c_36279,plain,
( multiply(sk_c10,identity) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_34573,c_31496]) ).
cnf(c_36448,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_34681,c_94]) ).
cnf(c_36449,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c2) = sk_c3
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_34681,c_70]) ).
cnf(c_36589,plain,
( sk_c10 = sk_c9
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_36279,c_1769]) ).
cnf(c_36613,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36589,c_94]) ).
cnf(c_36615,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36589,c_52]) ).
cnf(c_40114,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = sk_c5 ),
inference(superposition,[status(thm)],[c_6122,c_55]) ).
cnf(c_40172,plain,
( sk_c10 = sk_c5
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_40114,c_10755]) ).
cnf(c_40515,plain,
( sk_c9 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1801,c_103,c_2198,c_15408]) ).
cnf(c_40980,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c10) = identity
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_40172,c_30961]) ).
cnf(c_41001,plain,
( sk_c10 = identity
| sk_c9 = sk_c6 ),
inference(superposition,[status(thm)],[c_40172,c_5804]) ).
cnf(c_44678,plain,
( inverse(X0) != identity
| X1 != identity
| inverse(X0) = X1 ),
inference(instantiation,[status(thm)],[c_4661]) ).
cnf(c_44679,plain,
( inverse(X0) != identity
| X1 != identity
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_2641]) ).
cnf(c_44681,plain,
( inverse(sk_c10) != identity
| sk_c10 != identity
| sk_c10 = inverse(sk_c10) ),
inference(instantiation,[status(thm)],[c_44679]) ).
cnf(c_44682,plain,
( inverse(sk_c10) != identity
| sk_c10 != identity
| inverse(sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_44678]) ).
cnf(c_50393,plain,
sk_c9 = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_5877,c_545,c_1409,c_1408,c_2609,c_3940,c_6995,c_15679,c_24764,c_40515,c_41001,c_40980,c_44682]) ).
cnf(c_50469,plain,
( ~ sP1_iProver_split
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(demodulation,[status(thm)],[c_17667,c_50393]) ).
cnf(c_50490,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c3
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(demodulation,[status(thm)],[c_1518,c_50393]) ).
cnf(c_51676,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,identity) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_36448,c_103,c_96,c_91,c_94,c_545,c_1111,c_2198,c_7288,c_15408,c_36448]) ).
cnf(c_51677,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(renaming,[status(thm)],[c_51676]) ).
cnf(c_51678,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_51677,c_1769]) ).
cnf(c_51687,plain,
( multiply(sk_c4,sk_c10) = identity
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_51678,c_2145]) ).
cnf(c_51706,plain,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,identity) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_36449,c_103,c_72,c_68,c_67,c_70,c_545,c_1054,c_1112,c_2198,c_15408,c_36449]) ).
cnf(c_51707,plain,
( multiply(sk_c10,identity) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(renaming,[status(thm)],[c_51706]) ).
cnf(c_51708,plain,
( inverse(sk_c2) = sk_c3
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_51707,c_1769]) ).
cnf(c_51716,plain,
( multiply(sk_c2,sk_c3) = identity
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_51708,c_2145]) ).
cnf(c_52016,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_36613,c_103,c_96,c_91,c_94,c_552,c_545,c_1111,c_1408,c_1414,c_1445,c_1463,c_2198,c_3288,c_7288,c_15408]) ).
cnf(c_52020,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_36615,c_103,c_54,c_50,c_49,c_52,c_552,c_545,c_1055,c_1113,c_1408,c_1414,c_1445,c_1463,c_2198,c_3286,c_15408]) ).
cnf(c_52243,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c10 = sk_c9
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_51687,c_88]) ).
cnf(c_52269,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c10 = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_51716,c_64]) ).
cnf(c_52280,plain,
( sk_c10 = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_52243,c_103,c_82,c_545,c_1057,c_1119,c_2198,c_6651,c_15408,c_52016,c_52020,c_52269]) ).
cnf(c_52281,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| sk_c10 = sk_c9 ),
inference(renaming,[status(thm)],[c_52280]) ).
cnf(c_52286,plain,
( multiply(sk_c10,identity) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_36589,c_52281]) ).
cnf(c_52311,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_1760,c_1125,c_2184,c_2609,c_52286]) ).
cnf(c_52318,plain,
( sk_c9 = identity
| sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_3601,c_52311]) ).
cnf(c_52320,plain,
( inverse(sk_c10) != sk_c9
| sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_545,c_52311]) ).
cnf(c_53283,plain,
sk_c10 = sk_c9,
inference(demodulation,[status(thm)],[c_52286,c_1769]) ).
cnf(c_53296,plain,
( sk_c10 = identity
| sP0_iProver_split
| sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_52318,c_53283]) ).
cnf(c_53300,plain,
( inverse(sk_c10) != sk_c10
| sP0_iProver_split
| sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_52320,c_53283]) ).
cnf(c_53346,plain,
( ~ sP1_iProver_split
| multiply(sk_c10,sk_c10) = sk_c10 ),
inference(demodulation,[status(thm)],[c_50469,c_53283]) ).
cnf(c_53357,plain,
sk_c10 = sk_c6,
inference(demodulation,[status(thm)],[c_50393,c_53283]) ).
cnf(c_53380,plain,
( sk_c10 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_40515,c_53283]) ).
cnf(c_53409,plain,
( inverse(sk_c10) = sk_c10
| inverse(sk_c10) = identity ),
inference(demodulation,[status(thm)],[c_22334,c_53283]) ).
cnf(c_53470,plain,
( inverse(sk_c10) = sk_c10
| sk_c10 = identity ),
inference(demodulation,[status(thm)],[c_3582,c_53283]) ).
cnf(c_53482,plain,
( multiply(X0,sk_c10) != sk_c10
| inverse(X0) != sk_c10
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_543,c_53283]) ).
cnf(c_53498,plain,
( inverse(sk_c10) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_91,c_53283]) ).
cnf(c_53820,plain,
( multiply(sk_c10,sk_c10) != sk_c10
| inverse(sk_c10) != sk_c10
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_53482]) ).
cnf(c_53837,plain,
inverse(sk_c10) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_53498,c_550,c_552,c_2939,c_44681,c_53470,c_53409]) ).
cnf(c_53848,plain,
multiply(sk_c10,sk_c10) = identity,
inference(superposition,[status(thm)],[c_53837,c_99]) ).
cnf(c_53940,plain,
sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_53296,c_550,c_552,c_2939,c_44681,c_53346,c_53300,c_53470,c_53409,c_53820]) ).
cnf(c_54016,plain,
sk_c10 != identity,
inference(global_subsumption_just,[status(thm)],[c_53380,c_53380,c_53940]) ).
cnf(c_54034,plain,
( inverse(sk_c2) = sk_c3
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_1910,c_53283,c_53357,c_53837,c_53848]) ).
cnf(c_54035,plain,
inverse(sk_c2) = sk_c3,
inference(forward_subsumption_resolution,[status(thm)],[c_54034,c_54016]) ).
cnf(c_54038,plain,
multiply(sk_c2,multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_54035,c_2148]) ).
cnf(c_54039,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm)],[c_54035,c_2145]) ).
cnf(c_54302,plain,
( multiply(sk_c3,sk_c10) = sk_c3
| sk_c10 = identity ),
inference(light_normalisation,[status(thm)],[c_50490,c_53283,c_53848,c_54035]) ).
cnf(c_54303,plain,
multiply(sk_c3,sk_c10) = sk_c3,
inference(forward_subsumption_resolution,[status(thm)],[c_54302,c_54016]) ).
cnf(c_54306,plain,
multiply(sk_c2,sk_c3) = sk_c10,
inference(superposition,[status(thm)],[c_54303,c_54038]) ).
cnf(c_54307,plain,
sk_c10 = identity,
inference(light_normalisation,[status(thm)],[c_54306,c_54039]) ).
cnf(c_54308,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_54307,c_54016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:05:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.88/2.16 % SZS status Started for theBenchmark.p
% 9.88/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 9.88/2.16
% 9.88/2.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.88/2.16
% 9.88/2.16 ------ iProver source info
% 9.88/2.16
% 9.88/2.16 git: date: 2023-05-31 18:12:56 +0000
% 9.88/2.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.88/2.16 git: non_committed_changes: false
% 9.88/2.16 git: last_make_outside_of_git: false
% 9.88/2.16
% 9.88/2.16 ------ Parsing...successful
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.88/2.16
% 9.88/2.16 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.88/2.16
% 9.88/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.88/2.16 ------ Proving...
% 9.88/2.16 ------ Problem Properties
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16 clauses 55
% 9.88/2.16 conjectures 52
% 9.88/2.16 EPR 0
% 9.88/2.16 Horn 6
% 9.88/2.16 unary 3
% 9.88/2.16 binary 48
% 9.88/2.16 lits 112
% 9.88/2.16 lits eq 106
% 9.88/2.16 fd_pure 0
% 9.88/2.16 fd_pseudo 0
% 9.88/2.16 fd_cond 0
% 9.88/2.16 fd_pseudo_cond 0
% 9.88/2.16 AC symbols 0
% 9.88/2.16
% 9.88/2.16 ------ Schedule dynamic 5 is on
% 9.88/2.16
% 9.88/2.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16 ------
% 9.88/2.16 Current options:
% 9.88/2.16 ------
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16 ------ Proving...
% 9.88/2.16
% 9.88/2.16
% 9.88/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 9.88/2.16
% 9.88/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.88/2.16
% 9.88/2.16
%------------------------------------------------------------------------------