TSTP Solution File: GRP294-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP294-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 00:59:10 EDT 2023
% Result : Unsatisfiable 10.27s 2.17s
% Output : CNFRefutation 10.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of clauses : 336 ( 43 unt; 148 nHn; 294 RR)
% Number of literals : 799 ( 735 equ; 321 neg)
% Maximal clause size : 11 ( 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 : 147 ( 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/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/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/sandbox2/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_c6
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ 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_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_392,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c6) != sk_c7
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_394,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_737,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_379]) ).
cnf(c_774,plain,
( inverse(sk_c6) != sk_c7
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_380]) ).
cnf(c_781,plain,
( inverse(sk_c2) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_380]) ).
cnf(c_783,plain,
( inverse(sk_c2) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_69,c_380]) ).
cnf(c_786,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c5
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_380]) ).
cnf(c_787,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_380]) ).
cnf(c_843,plain,
( inverse(sk_c4) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_78,c_381]) ).
cnf(c_844,plain,
( inverse(sk_c4) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_381]) ).
cnf(c_848,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_381]) ).
cnf(c_877,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_878,plain,
( multiply(sk_c7,sk_c6) != sk_c6
| sk_c5 != sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_877]) ).
cnf(c_887,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_382]) ).
cnf(c_889,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_382]) ).
cnf(c_897,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_80,c_382]) ).
cnf(c_898,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_81,c_382]) ).
cnf(c_949,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_950,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_951,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_956,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_957,plain,
( multiply(identity,sk_c5) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_958,plain,
multiply(identity,sk_c5) = sk_c5,
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_960,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_961,plain,
( sk_c6 != sk_c6
| sk_c5 != sk_c6
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_964,plain,
( X0 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_1010,plain,
( X0 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_1011,plain,
( sk_c6 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_1012,plain,
( X0 != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_1013,plain,
( sk_c6 != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1012]) ).
cnf(c_1035,plain,
( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_82]) ).
cnf(c_1037,plain,
( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_69,c_82]) ).
cnf(c_1041,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_1164,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_1167,plain,
( inverse(X0) != X1
| sk_c6 != X1
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1168,plain,
( multiply(identity,multiply(sk_c6,sk_c7)) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(identity,multiply(sk_c6,sk_c7)) ),
inference(instantiation,[status(thm)],[c_964]) ).
cnf(c_1169,plain,
multiply(identity,multiply(sk_c6,sk_c7)) = multiply(sk_c6,sk_c7),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1171,plain,
( multiply(sk_c6,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1172,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1171]) ).
cnf(c_1173,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_964]) ).
cnf(c_1174,plain,
( X0 != sk_c6
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_1190,plain,
( multiply(identity,sk_c5) != X0
| X1 != X0
| X1 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1191,plain,
( multiply(identity,sk_c5) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_1218,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,multiply(sk_c6,sk_c7))
| sk_c5 != multiply(identity,multiply(sk_c6,sk_c7))
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_877]) ).
cnf(c_1223,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1041,c_80]) ).
cnf(c_1235,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_1223]) ).
cnf(c_1244,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1223]) ).
cnf(c_1245,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_1223]) ).
cnf(c_1249,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_1223]) ).
cnf(c_1252,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1223]) ).
cnf(c_1253,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_1223]) ).
cnf(c_1254,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_1223]) ).
cnf(c_1255,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_1223]) ).
cnf(c_1261,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1223,c_1223]) ).
cnf(c_1334,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| X0 != sk_c5
| X0 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1171]) ).
cnf(c_1337,plain,
( multiply(sk_c6,sk_c7) != X0
| X1 != X0
| multiply(sk_c6,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1349,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| X0 != sk_c6
| multiply(X0,multiply(sk_c3,sk_c6)) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1174]) ).
cnf(c_1350,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| sk_c6 != sk_c6
| multiply(sk_c6,multiply(sk_c3,sk_c6)) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1349]) ).
cnf(c_1355,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_1356,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1357,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1356]) ).
cnf(c_1368,plain,
( multiply(identity,sk_c5) != X0
| X1 != X0
| multiply(identity,sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1369,plain,
( multiply(identity,sk_c5) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_1373,plain,
( multiply(identity,sk_c5) != sk_c5
| X0 != sk_c5
| X0 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_1374,plain,
( multiply(identity,sk_c5) != sk_c5
| sk_c6 != sk_c5
| sk_c6 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1373]) ).
cnf(c_1392,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_384]) ).
cnf(c_1394,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1463,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(identity,sk_c5) != sk_c5
| multiply(identity,sk_c5) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1334]) ).
cnf(c_1468,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1255,c_1261]) ).
cnf(c_1476,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1468,c_1254]) ).
cnf(c_1480,plain,
( multiply(X0,multiply(sk_c3,sk_c6)) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(X0,multiply(sk_c3,sk_c6)) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_1482,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1480]) ).
cnf(c_1483,plain,
( multiply(X0,multiply(sk_c3,sk_c6)) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(X0,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_1484,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c6,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_1483]) ).
cnf(c_1639,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1261,c_81]) ).
cnf(c_1644,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1261,c_1223]) ).
cnf(c_1645,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1261,c_1468]) ).
cnf(c_1646,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1645,c_1468]) ).
cnf(c_1669,plain,
inverse(inverse(sk_c6)) = sk_c6,
inference(instantiation,[status(thm)],[c_1646]) ).
cnf(c_1697,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1646]) ).
cnf(c_1698,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_61,c_1646]) ).
cnf(c_1699,plain,
( inverse(sk_c7) = sk_c2
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1646]) ).
cnf(c_1700,plain,
( inverse(sk_c7) = sk_c2
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_76,c_1646]) ).
cnf(c_1713,plain,
( X0 != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_1716,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1713]) ).
cnf(c_1721,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_1697,c_1646]) ).
cnf(c_1738,plain,
( multiply(identity,multiply(sk_c6,sk_c7)) != X0
| X1 != X0
| X1 = multiply(identity,multiply(sk_c6,sk_c7)) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_1749,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c6) = sk_c3 ),
inference(superposition,[status(thm)],[c_1698,c_1646]) ).
cnf(c_1763,plain,
( inverse(sk_c7) = sk_c2
| inverse(sk_c6) = sk_c4 ),
inference(superposition,[status(thm)],[c_1699,c_1646]) ).
cnf(c_1777,plain,
( inverse(sk_c7) = sk_c2
| inverse(sk_c6) = sk_c3 ),
inference(superposition,[status(thm)],[c_1700,c_1646]) ).
cnf(c_1947,plain,
( multiply(sk_c3,sk_c6) = identity
| inverse(sk_c7) = sk_c2 ),
inference(superposition,[status(thm)],[c_1700,c_1639]) ).
cnf(c_1948,plain,
( multiply(sk_c3,sk_c6) = identity
| inverse(sk_c7) = sk_c1 ),
inference(superposition,[status(thm)],[c_1698,c_1639]) ).
cnf(c_1951,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1639]) ).
cnf(c_1952,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_61,c_1639]) ).
cnf(c_1954,plain,
( multiply(sk_c2,sk_c7) = identity
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_76,c_1639]) ).
cnf(c_1960,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1639,c_82]) ).
cnf(c_1991,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1167]) ).
cnf(c_1995,plain,
( multiply(sk_c2,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_1998,plain,
( inverse(sk_c2) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(instantiation,[status(thm)],[c_1167]) ).
cnf(c_2041,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1644]) ).
cnf(c_2105,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2217,plain,
( inverse(sk_c6) = sk_c4
| sk_c1 = sk_c2 ),
inference(superposition,[status(thm)],[c_1763,c_1721]) ).
cnf(c_2261,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1951,c_57]) ).
cnf(c_2330,plain,
( multiply(identity,sk_c5) != sk_c5
| X0 != sk_c5
| multiply(identity,sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_1368]) ).
cnf(c_2337,plain,
( multiply(sk_c4,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2261,c_1639]) ).
cnf(c_2366,plain,
( inverse(sk_c3) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1952,c_56]) ).
cnf(c_2400,plain,
( multiply(sk_c3,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2366,c_1639]) ).
cnf(c_2402,plain,
( multiply(sk_c6,multiply(sk_c3,X0)) = X0
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2366,c_1223]) ).
cnf(c_2414,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c6
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_2402]) ).
cnf(c_2417,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_2506,plain,
( inverse(sk_c3) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1954,c_71]) ).
cnf(c_2530,plain,
( X0 != multiply(sk_c2,sk_c7)
| sk_c5 != multiply(sk_c2,sk_c7)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_2533,plain,
( sk_c6 != multiply(sk_c2,sk_c7)
| sk_c5 != multiply(sk_c2,sk_c7)
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_2530]) ).
cnf(c_2539,plain,
( multiply(sk_c3,sk_c6) = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2506,c_1639]) ).
cnf(c_2541,plain,
( multiply(sk_c6,multiply(sk_c3,X0)) = X0
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_2506,c_1223]) ).
cnf(c_2553,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c6
| sk_c5 = identity ),
inference(instantiation,[status(thm)],[c_2541]) ).
cnf(c_2562,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| X0 != sk_c5
| multiply(sk_c6,sk_c7) = X0 ),
inference(instantiation,[status(thm)],[c_1337]) ).
cnf(c_2564,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != sk_c5
| multiply(sk_c6,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_2562]) ).
cnf(c_3015,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1244]) ).
cnf(c_3074,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3015,c_52]) ).
cnf(c_3112,plain,
( inverse(sk_c6) = sk_c4
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3074,c_1646]) ).
cnf(c_3163,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3255,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_61,c_1245]) ).
cnf(c_3342,plain,
( multiply(identity,sk_c5) != multiply(sk_c6,sk_c7)
| X0 != multiply(sk_c6,sk_c7)
| X0 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_3527,plain,
( X0 != multiply(X1,multiply(sk_c3,sk_c6))
| sk_c5 != multiply(X1,multiply(sk_c3,sk_c6))
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_3528,plain,
( X0 != multiply(X1,multiply(sk_c3,sk_c6))
| sk_c5 != multiply(X1,multiply(sk_c3,sk_c6))
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_3529,plain,
( sk_c6 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c5 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c5 = sk_c6 ),
inference(instantiation,[status(thm)],[c_3528]) ).
cnf(c_3530,plain,
( sk_c6 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c5 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_3527]) ).
cnf(c_3581,plain,
( inverse(sk_c3) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3255,c_51]) ).
cnf(c_3611,plain,
( inverse(sk_c6) = sk_c3
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3581,c_1646]) ).
cnf(c_3612,plain,
( multiply(sk_c6,multiply(sk_c3,X0)) = X0
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3581,c_1223]) ).
cnf(c_3630,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c6
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_3612]) ).
cnf(c_3673,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_3674,plain,
( multiply(sk_c7,sk_c6) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_3673]) ).
cnf(c_3717,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_77,c_1252]) ).
cnf(c_3745,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3717,c_67]) ).
cnf(c_3783,plain,
( inverse(sk_c6) = sk_c4
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3745,c_1646]) ).
cnf(c_3823,plain,
( multiply(sk_c7,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_76,c_1253]) ).
cnf(c_3976,plain,
( multiply(sk_c1,multiply(sk_c7,inverse(sk_c6))) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_1960]) ).
cnf(c_4385,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3163,c_80]) ).
cnf(c_4423,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4385,c_4385]) ).
cnf(c_4498,plain,
( multiply(identity,multiply(sk_c6,sk_c7)) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,multiply(sk_c6,sk_c7)) ),
inference(instantiation,[status(thm)],[c_1738]) ).
cnf(c_4499,plain,
( multiply(sk_c6,sk_c7) != X0
| identity != X1
| multiply(identity,multiply(sk_c6,sk_c7)) = multiply(X1,X0) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_4501,plain,
( multiply(sk_c6,sk_c7) != sk_c6
| identity != sk_c6
| multiply(identity,multiply(sk_c6,sk_c7)) = multiply(sk_c6,sk_c6) ),
inference(instantiation,[status(thm)],[c_4499]) ).
cnf(c_4602,plain,
( sk_c7 = sk_c5
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_3611,c_3112]) ).
cnf(c_4637,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_4602,c_53]) ).
cnf(c_4709,plain,
( inverse(sk_c3) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_3823,c_66]) ).
cnf(c_4757,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4709,c_1235]) ).
cnf(c_4760,plain,
( inverse(sk_c6) = sk_c3
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4709,c_1646]) ).
cnf(c_4761,plain,
( multiply(sk_c6,multiply(sk_c3,X0)) = X0
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_4709,c_1223]) ).
cnf(c_4779,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) = sk_c6
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_4761]) ).
cnf(c_4801,plain,
( ~ sP1_iProver_split
| inverse(sk_c6) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_774,c_392,c_774,c_783]) ).
cnf(c_4802,plain,
( inverse(sk_c6) != sk_c7
| ~ sP1_iProver_split ),
inference(renaming,[status(thm)],[c_4801]) ).
cnf(c_4923,plain,
( multiply(X0,multiply(sk_c3,sk_c6)) != sk_c5
| multiply(identity,sk_c5) != sk_c5
| multiply(identity,sk_c5) = multiply(X0,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_2330]) ).
cnf(c_4924,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) != sk_c5
| multiply(identity,sk_c5) != sk_c5
| multiply(identity,sk_c5) = multiply(sk_c6,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_4923]) ).
cnf(c_5015,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_2105]) ).
cnf(c_5024,plain,
( sk_c7 != sk_c5
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_786,c_1476]) ).
cnf(c_5046,plain,
( sk_c7 = sk_c6
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_4760,c_3783]) ).
cnf(c_5085,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_5046,c_53]) ).
cnf(c_5138,plain,
( inverse(sk_c6) = sk_c3
| sk_c1 = sk_c2 ),
inference(superposition,[status(thm)],[c_1777,c_1749]) ).
cnf(c_5189,plain,
( ~ sP2_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_843,c_77,c_843]) ).
cnf(c_5195,plain,
( ~ sP2_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_844,c_62,c_844]) ).
cnf(c_5230,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2417]) ).
cnf(c_5231,plain,
( sk_c6 != identity
| identity != identity
| identity = sk_c6 ),
inference(instantiation,[status(thm)],[c_5230]) ).
cnf(c_5267,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_848,c_1476]) ).
cnf(c_5296,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_897,c_1476]) ).
cnf(c_5638,plain,
( sk_c3 = sk_c4
| sk_c1 = sk_c2 ),
inference(superposition,[status(thm)],[c_5138,c_2217]) ).
cnf(c_5735,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c5
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_5638,c_73]) ).
cnf(c_5826,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_4423,c_81]) ).
cnf(c_6428,plain,
( multiply(sk_c2,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_6988,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2400,c_50]) ).
cnf(c_7106,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_2041]) ).
cnf(c_7206,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_7106,c_381]) ).
cnf(c_7434,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_61,c_5826]) ).
cnf(c_8467,plain,
( multiply(X0,multiply(sk_c3,sk_c6)) != X1
| X2 != X1
| X2 = multiply(X0,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_385]) ).
cnf(c_8468,plain,
( multiply(sk_c6,multiply(sk_c3,sk_c6)) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c6,multiply(sk_c3,sk_c6)) ),
inference(instantiation,[status(thm)],[c_8467]) ).
cnf(c_8677,plain,
( sk_c7 != X0
| sk_c6 != X1
| multiply(sk_c7,sk_c6) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_8679,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c6) ),
inference(instantiation,[status(thm)],[c_8677]) ).
cnf(c_9251,plain,
( inverse(sk_c3) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_7434,c_56]) ).
cnf(c_9301,plain,
( multiply(sk_c3,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9251,c_5826]) ).
cnf(c_10571,plain,
( X0 != multiply(identity,sk_c5)
| sk_c7 != multiply(identity,sk_c5)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_2105]) ).
cnf(c_10572,plain,
( X0 != multiply(identity,sk_c5)
| sk_c7 != multiply(identity,sk_c5)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1356]) ).
cnf(c_10574,plain,
( sk_c7 != multiply(identity,sk_c5)
| sk_c6 != multiply(identity,sk_c5)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_10572]) ).
cnf(c_10575,plain,
( sk_c7 != multiply(identity,sk_c5)
| sk_c6 != multiply(identity,sk_c5)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_10571]) ).
cnf(c_10643,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != sk_c5
| sk_c7 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1334]) ).
cnf(c_10782,plain,
( sk_c5 != identity
| identity != identity
| identity = sk_c5 ),
inference(instantiation,[status(thm)],[c_5230]) ).
cnf(c_10945,plain,
( sk_c7 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_950]) ).
cnf(c_11378,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_7206,c_390,c_1357,c_1991,c_3745,c_5195,c_7206]) ).
cnf(c_11449,plain,
( multiply(sk_c4,sk_c5) != sk_c6
| inverse(sk_c4) != sk_c6
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_11825,plain,
( multiply(sk_c2,sk_c7) != X0
| sk_c5 != X0
| multiply(sk_c2,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_11857,plain,
( X0 != sk_c5
| identity != sk_c5
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1394]) ).
cnf(c_11859,plain,
( sk_c6 != sk_c5
| identity != sk_c5
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_11857]) ).
cnf(c_12623,plain,
( multiply(identity,sk_c5) != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c7)
| sk_c7 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_3342]) ).
cnf(c_12843,plain,
( multiply(identity,sk_c5) != multiply(X0,multiply(sk_c3,sk_c6))
| X1 != multiply(X0,multiply(sk_c3,sk_c6))
| X1 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1369]) ).
cnf(c_12844,plain,
( multiply(identity,sk_c5) != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c6 != multiply(sk_c6,multiply(sk_c3,sk_c6))
| sk_c6 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_12843]) ).
cnf(c_13905,plain,
( inverse(sk_c7) = sk_c2
| inverse(sk_c2) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1947,c_75]) ).
cnf(c_13940,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c1) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1948,c_60]) ).
cnf(c_14154,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_737,c_737,c_1669]) ).
cnf(c_14160,plain,
( ~ sP1_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_781,c_78,c_781]) ).
cnf(c_14267,plain,
( sk_c7 != sk_c7
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_787,c_1646]) ).
cnf(c_14268,plain,
( sk_c5 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_14267]) ).
cnf(c_14466,plain,
( ~ sP3_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_887,c_63,c_887]) ).
cnf(c_14480,plain,
( ~ sP3_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_889,c_59,c_889]) ).
cnf(c_14487,plain,
( sk_c7 != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_898,c_1646]) ).
cnf(c_14488,plain,
( sk_c6 != identity
| ~ sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_14487]) ).
cnf(c_14712,plain,
( multiply(identity,sk_c5) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_5015]) ).
cnf(c_15771,plain,
( inverse(sk_c6) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_3976,c_2041]) ).
cnf(c_16274,plain,
( multiply(sk_c4,sk_c6) = identity
| inverse(sk_c6) = identity ),
inference(superposition,[status(thm)],[c_15771,c_1639]) ).
cnf(c_16794,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
cnf(c_16795,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_82]) ).
cnf(c_16798,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = multiply(identity,X0)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_9301,c_82]) ).
cnf(c_16817,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_16827,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = X0
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_16798,c_80]) ).
cnf(c_16906,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_16817,c_80]) ).
cnf(c_16930,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_56,c_16906]) ).
cnf(c_16940,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_16906]) ).
cnf(c_16946,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16906,c_16906]) ).
cnf(c_17029,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16940,c_16946]) ).
cnf(c_17498,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
inference(superposition,[status(thm)],[c_61,c_16930]) ).
cnf(c_17521,plain,
( inverse(sk_c3) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17498,c_51]) ).
cnf(c_17550,plain,
( multiply(sk_c6,sk_c3) = identity
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17521,c_81]) ).
cnf(c_17675,plain,
( multiply(inverse(sk_c6),identity) = sk_c3
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17550,c_16906]) ).
cnf(c_17755,plain,
( inverse(sk_c6) = sk_c3
| sk_c7 = sk_c5 ),
inference(demodulation,[status(thm)],[c_17675,c_17029]) ).
cnf(c_17761,plain,
( multiply(sk_c3,multiply(sk_c6,X0)) = X0
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17755,c_16906]) ).
cnf(c_17980,plain,
( multiply(sk_c7,X0) = X0
| multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_16794,c_16827]) ).
cnf(c_18014,plain,
( multiply(sk_c7,sk_c6) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_17980]) ).
cnf(c_18763,plain,
( multiply(identity,multiply(sk_c6,sk_c7)) != multiply(X0,X1)
| multiply(sk_c7,sk_c6) != multiply(X0,X1)
| multiply(sk_c7,sk_c6) = multiply(identity,multiply(sk_c6,sk_c7)) ),
inference(instantiation,[status(thm)],[c_4498]) ).
cnf(c_18764,plain,
( multiply(identity,multiply(sk_c6,sk_c7)) != multiply(sk_c6,sk_c6)
| multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c6)
| multiply(sk_c7,sk_c6) = multiply(identity,multiply(sk_c6,sk_c7)) ),
inference(instantiation,[status(thm)],[c_18763]) ).
cnf(c_19092,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_6988,c_50,c_49,c_390,c_878,c_951,c_956,c_1350,c_1484,c_2414,c_3529,c_8468,c_18014]) ).
cnf(c_20944,plain,
( X0 != sk_c7
| sk_c5 != sk_c7
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_960]) ).
cnf(c_20947,plain,
( sk_c6 != sk_c7
| sk_c5 != sk_c7
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_20944]) ).
cnf(c_22926,plain,
( inverse(sk_c7) = sk_c2
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_13905,c_1646]) ).
cnf(c_23871,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_22926,c_81]) ).
cnf(c_24003,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_23871,c_70]) ).
cnf(c_24053,plain,
( inverse(sk_c7) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_13940,c_1646]) ).
cnf(c_24172,plain,
( sk_c7 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_24003,c_2539]) ).
cnf(c_24291,plain,
( multiply(sk_c2,sk_c5) != sk_c6
| inverse(sk_c2) != sk_c6
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_381]) ).
cnf(c_24366,plain,
( ~ sP1_iProver_split
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_24172,c_14268]) ).
cnf(c_24921,plain,
( sk_c7 != sk_c5
| ~ sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5024,c_24366]) ).
cnf(c_26001,plain,
( multiply(sk_c5,inverse(sk_c7)) = multiply(sk_c2,identity)
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_1639,c_1035]) ).
cnf(c_26910,plain,
( multiply(sk_c1,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_24053,c_81]) ).
cnf(c_28019,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_26910,c_55]) ).
cnf(c_28020,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_26910,c_54]) ).
cnf(c_28021,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_26910,c_57]) ).
cnf(c_28157,plain,
( sk_c7 = identity
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_28021,c_390,c_951,c_956,c_961,c_1350,c_1392,c_1484,c_2414,c_3529,c_8468,c_10782,c_11859,c_24172,c_28020,c_28019]) ).
cnf(c_28191,plain,
( multiply(identity,sk_c6) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28157,c_19092]) ).
cnf(c_28493,plain,
( sk_c6 = sk_c5
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_28191,c_80]) ).
cnf(c_28567,plain,
( multiply(sk_c4,sk_c6) = sk_c6
| inverse(sk_c2) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28493,c_78]) ).
cnf(c_29603,plain,
( multiply(sk_c2,sk_c7) != identity
| X0 != identity
| X0 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_6428]) ).
cnf(c_29606,plain,
( multiply(sk_c2,sk_c7) != identity
| sk_c5 != identity
| multiply(sk_c2,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_11825]) ).
cnf(c_29608,plain,
( multiply(sk_c2,sk_c7) != identity
| sk_c6 != identity
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(instantiation,[status(thm)],[c_29603]) ).
cnf(c_29797,plain,
( multiply(sk_c5,inverse(sk_c7)) = multiply(sk_c2,identity)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_1639,c_1037]) ).
cnf(c_32073,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c2) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17761,c_16795]) ).
cnf(c_32074,plain,
( multiply(sk_c7,X0) = X0
| multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_17761,c_16794]) ).
cnf(c_32114,plain,
( multiply(sk_c7,sk_c6) = sk_c6
| inverse(sk_c2) = sk_c7
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_32073]) ).
cnf(c_32118,plain,
( multiply(sk_c7,sk_c6) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_32074]) ).
cnf(c_33180,plain,
( inverse(sk_c2) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28567,c_2337]) ).
cnf(c_33978,plain,
( inverse(sk_c7) = sk_c2
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33180,c_1646]) ).
cnf(c_34102,plain,
( inverse(identity) = sk_c2
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28157,c_33978]) ).
cnf(c_34130,plain,
( sk_c6 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_34102,c_1476]) ).
cnf(c_34323,plain,
( multiply(inverse(identity),sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_34130,c_1249]) ).
cnf(c_34356,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(identity,sk_c5) = sk_c7
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_34323,c_1476]) ).
cnf(c_34512,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_4637,c_50,c_49,c_390,c_878,c_951,c_956,c_958,c_1168,c_1169,c_1218,c_1350,c_1357,c_1392,c_1463,c_1482,c_1484,c_2564,c_3529,c_3630,c_4501,c_4779,c_4924,c_5231,c_8468,c_8679,c_10575,c_10643,c_10945,c_12623,c_12844,c_18764,c_19092,c_20947,c_32118]) ).
cnf(c_34726,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_5085,c_50,c_49,c_390,c_951,c_956,c_958,c_1168,c_1169,c_1218,c_1350,c_1357,c_1392,c_1463,c_1482,c_2564,c_4501,c_4779,c_4924,c_5231,c_8468,c_8679,c_10575,c_10643,c_10945,c_12623,c_12844,c_18764,c_19092,c_20947,c_34512]) ).
cnf(c_34728,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_34726,c_49,c_390,c_951,c_956,c_1168,c_1169,c_1218,c_1357,c_1392,c_2564,c_4501,c_5231,c_8679,c_10945,c_18764,c_19092,c_20947,c_34512,c_34726]) ).
cnf(c_34743,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_34728]) ).
cnf(c_34744,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_34743]) ).
cnf(c_34752,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_34728,c_1223]) ).
cnf(c_34753,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_34728,c_82]) ).
cnf(c_34822,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c6 = sk_c5
| sk_c3 = sk_c4 ),
inference(superposition,[status(thm)],[c_5735,c_58]) ).
cnf(c_34840,plain,
( sk_c6 = sk_c5
| sk_c3 = sk_c4 ),
inference(global_subsumption_just,[status(thm)],[c_34822,c_390,c_951,c_1357,c_4602,c_5046,c_10945,c_20947]) ).
cnf(c_34888,plain,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34840,c_78]) ).
cnf(c_34889,plain,
( multiply(sk_c3,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34840,c_63]) ).
cnf(c_35224,plain,
( multiply(sk_c2,sk_c5) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33978,c_34752]) ).
cnf(c_35231,plain,
( multiply(inverse(identity),sk_c5) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_28157,c_34752]) ).
cnf(c_35254,plain,
( multiply(identity,sk_c5) = sk_c6
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_35231,c_1476]) ).
cnf(c_35481,plain,
( inverse(sk_c2) = sk_c7
| sk_c6 = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_34888,c_74,c_50,c_49,c_390,c_878,c_951,c_956,c_958,c_1011,c_1164,c_1168,c_1169,c_1172,c_1218,c_1350,c_1357,c_1392,c_1463,c_1482,c_1484,c_1716,c_2564,c_3529,c_3630,c_3674,c_4501,c_4779,c_4757,c_4924,c_5231,c_8468,c_8679,c_10575,c_10643,c_10945,c_12623,c_12844,c_18764,c_19092,c_20947,c_32114,c_32118]) ).
cnf(c_35497,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_35481,c_1639]) ).
cnf(c_35522,plain,
sk_c6 = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_34889,c_70,c_69,c_390,c_951,c_956,c_957,c_958,c_1013,c_1191,c_1350,c_1484,c_1995,c_2533,c_2553,c_3530,c_8468,c_29606,c_29608,c_35254,c_35497]) ).
cnf(c_35528,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c6,X0),
inference(demodulation,[status(thm)],[c_34753,c_35522]) ).
cnf(c_35607,plain,
( ~ sP3_iProver_split
| multiply(sk_c6,sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_14480,c_35522]) ).
cnf(c_35650,plain,
( sk_c6 != sk_c6
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_5267,c_35522]) ).
cnf(c_35688,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
inference(demodulation,[status(thm)],[c_74,c_35522]) ).
cnf(c_35745,plain,
( sk_c6 != identity
| ~ sP2_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_35650]) ).
cnf(c_35911,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_35688,c_382]) ).
cnf(c_36081,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_35745,c_70,c_69,c_390,c_951,c_956,c_957,c_958,c_1013,c_1191,c_1350,c_1355,c_1374,c_1484,c_1995,c_1998,c_2533,c_2553,c_3530,c_5189,c_8468,c_10574,c_11378,c_11449,c_14712,c_24291,c_29606,c_29608,c_34356,c_35254,c_35224,c_35497,c_35745]) ).
cnf(c_36227,plain,
( ~ sP3_iProver_split
| inverse(sk_c6) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_35911,c_394,c_35607]) ).
cnf(c_36228,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split ),
inference(renaming,[status(thm)],[c_36227]) ).
cnf(c_36344,plain,
multiply(sk_c7,X0) = X0,
inference(superposition,[status(thm)],[c_1644,c_35528]) ).
cnf(c_36463,plain,
sk_c7 = identity,
inference(superposition,[status(thm)],[c_36344,c_1468]) ).
cnf(c_36464,plain,
inverse(sk_c7) = identity,
inference(superposition,[status(thm)],[c_36344,c_1639]) ).
cnf(c_36469,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_14154,c_36463]) ).
cnf(c_36470,plain,
( sk_c7 != sk_c6
| ~ sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_5296,c_36463]) ).
cnf(c_36473,plain,
( inverse(sk_c6) != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_36228,c_36463]) ).
cnf(c_36528,plain,
( inverse(sk_c6) != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_4802,c_36463]) ).
cnf(c_36766,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_36528,c_36473,c_36470,c_36469,c_36464,c_36463,c_36081,c_35522,c_34752,c_34744,c_29797,c_26001,c_24921,c_16274,c_14488,c_14466,c_14160,c_73,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP294-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:52:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.27/2.17 % SZS status Started for theBenchmark.p
% 10.27/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.27/2.17
% 10.27/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.27/2.17
% 10.27/2.17 ------ iProver source info
% 10.27/2.17
% 10.27/2.17 git: date: 2023-05-31 18:12:56 +0000
% 10.27/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.27/2.17 git: non_committed_changes: false
% 10.27/2.17 git: last_make_outside_of_git: false
% 10.27/2.17
% 10.27/2.17 ------ Parsing...successful
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.27/2.17
% 10.27/2.17 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.27/2.17
% 10.27/2.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.27/2.17 ------ Proving...
% 10.27/2.17 ------ Problem Properties
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17 clauses 38
% 10.27/2.17 conjectures 35
% 10.27/2.17 EPR 0
% 10.27/2.17 Horn 7
% 10.27/2.17 unary 3
% 10.27/2.17 binary 30
% 10.27/2.17 lits 82
% 10.27/2.17 lits eq 74
% 10.27/2.17 fd_pure 0
% 10.27/2.17 fd_pseudo 0
% 10.27/2.17 fd_cond 0
% 10.27/2.17 fd_pseudo_cond 0
% 10.27/2.17 AC symbols 0
% 10.27/2.17
% 10.27/2.17 ------ Schedule dynamic 5 is on
% 10.27/2.17
% 10.27/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17 ------
% 10.27/2.17 Current options:
% 10.27/2.17 ------
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17 ------ Proving...
% 10.27/2.17
% 10.27/2.17
% 10.27/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.27/2.17
% 10.27/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.27/2.17
% 10.27/2.17
%------------------------------------------------------------------------------