TSTP Solution File: GRP319-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:18 EDT 2023
% Result : Unsatisfiable 7.88s 1.66s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 44
% Syntax : Number of clauses : 362 ( 60 unt; 150 nHn; 324 RR)
% Number of literals : 874 ( 740 equ; 342 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| multiply(X1,sk_c9) != X2
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c9,X2) != sk_c8
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c8
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(X4,sk_c9) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_89]) ).
cnf(c_439,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_440,plain,
X0 = X0,
theory(equality) ).
cnf(c_441,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_442,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_443,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_445,plain,
( sk_c9 != sk_c9
| inverse(sk_c9) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_443]) ).
cnf(c_446,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_450,plain,
( multiply(sk_c9,sk_c9) != sk_c7
| inverse(sk_c9) != sk_c7
| ~ sP3_iProver_split ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_849,plain,
( multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_88]) ).
cnf(c_852,plain,
( multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
cnf(c_864,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_88]) ).
cnf(c_865,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_88]) ).
cnf(c_871,plain,
( multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_88]) ).
cnf(c_872,plain,
( multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_88]) ).
cnf(c_877,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_1002,plain,
( multiply(sk_c8,sk_c9) != X0
| sk_c7 != X0
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1005,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1006,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_1007,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1010,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_877,c_86]) ).
cnf(c_1035,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_1010]) ).
cnf(c_1036,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_1010]) ).
cnf(c_1037,plain,
( multiply(inverse(sk_c1),sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_1010]) ).
cnf(c_1044,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_1010]) ).
cnf(c_1045,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_1010]) ).
cnf(c_1046,plain,
( multiply(inverse(sk_c2),sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_74,c_1010]) ).
cnf(c_1047,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_1010]) ).
cnf(c_1048,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_1010]) ).
cnf(c_1056,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1010,c_1010]) ).
cnf(c_1138,plain,
( multiply(sk_c5,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1139,plain,
( inverse(sk_c6) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1140,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1144,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1149,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_1150,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| sk_c7 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1149]) ).
cnf(c_1151,plain,
( multiply(sk_c8,sk_c9) != inverse(sk_c6)
| sk_c7 != inverse(sk_c6)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1002]) ).
cnf(c_1155,plain,
( X0 != multiply(sk_c6,sk_c9)
| sk_c7 != multiply(sk_c6,sk_c9)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_1163,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1144]) ).
cnf(c_1164,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1163]) ).
cnf(c_1165,plain,
( X0 != inverse(sk_c6)
| sk_c7 != inverse(sk_c6)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1144]) ).
cnf(c_1171,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1006]) ).
cnf(c_1172,plain,
( multiply(sk_c4,sk_c9) != sk_c8
| inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_434]) ).
cnf(c_1173,plain,
( inverse(X0) != X1
| sk_c9 != X1
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1180,plain,
( multiply(sk_c5,sk_c8) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1190,plain,
( inverse(sk_c6) != X0
| X1 != X0
| X1 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1202,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1048,c_1056]) ).
cnf(c_1210,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1202,c_1047]) ).
cnf(c_1227,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1056,c_87]) ).
cnf(c_1230,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1056,c_1010]) ).
cnf(c_1231,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1056,c_1202]) ).
cnf(c_1232,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1231,c_1202]) ).
cnf(c_1247,plain,
inverse(inverse(sk_c9)) = sk_c9,
inference(instantiation,[status(thm)],[c_1232]) ).
cnf(c_1258,plain,
( multiply(identity,multiply(sk_c6,sk_c9)) != multiply(sk_c6,sk_c9)
| sk_c7 != multiply(sk_c6,sk_c9)
| sk_c7 = multiply(identity,multiply(sk_c6,sk_c9)) ),
inference(instantiation,[status(thm)],[c_1155]) ).
cnf(c_1259,plain,
multiply(identity,multiply(sk_c6,sk_c9)) = multiply(sk_c6,sk_c9),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1261,plain,
( multiply(sk_c6,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1280,plain,
( inverse(sk_c6) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_53,c_439]) ).
cnf(c_1282,plain,
( inverse(sk_c4) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_50,c_439]) ).
cnf(c_1318,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_434]) ).
cnf(c_1319,plain,
( inverse(sk_c4) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_79,c_434]) ).
cnf(c_1332,plain,
( inverse(identity) != sk_c9
| sk_c8 != sk_c9
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_434]) ).
cnf(c_1333,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_1335,plain,
( sk_c8 != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1332,c_1210]) ).
cnf(c_1451,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1459,plain,
( inverse(sk_c5) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_435]) ).
cnf(c_1461,plain,
( inverse(sk_c5) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_435]) ).
cnf(c_1469,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_435]) ).
cnf(c_1470,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_1472,plain,
( sk_c8 != sk_c7
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1469,c_1210]) ).
cnf(c_1550,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_436]) ).
cnf(c_1554,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_436]) ).
cnf(c_1556,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_55,c_436]) ).
cnf(c_1557,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_436]) ).
cnf(c_1558,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_58,c_436]) ).
cnf(c_1559,plain,
( inverse(sk_c1) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_436]) ).
cnf(c_1560,plain,
( inverse(identity) != sk_c8
| sk_c8 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_436]) ).
cnf(c_1563,plain,
( sk_c8 != sk_c9
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1560,c_1210]) ).
cnf(c_1611,plain,
( X0 != multiply(identity,multiply(sk_c6,sk_c9))
| sk_c7 != multiply(identity,multiply(sk_c6,sk_c9))
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1144]) ).
cnf(c_1614,plain,
( sk_c9 != multiply(identity,multiply(sk_c6,sk_c9))
| sk_c7 != multiply(identity,multiply(sk_c6,sk_c9))
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1611]) ).
cnf(c_1697,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_72,c_437]) ).
cnf(c_1699,plain,
( inverse(sk_c6) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_437]) ).
cnf(c_1707,plain,
( inverse(identity) != sk_c7
| sk_c9 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_437]) ).
cnf(c_1710,plain,
( sk_c9 != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1707,c_1210]) ).
cnf(c_2084,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP4_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_438]) ).
cnf(c_2085,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP4_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_438]) ).
cnf(c_2086,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP4_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_74,c_438]) ).
cnf(c_2088,plain,
( multiply(sk_c9,identity) != sk_c8
| inverse(inverse(sk_c9)) != sk_c9
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_438]) ).
cnf(c_2169,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_1261]) ).
cnf(c_2274,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2276,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_2280,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_1227]) ).
cnf(c_2281,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_1227]) ).
cnf(c_2282,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_1227]) ).
cnf(c_2284,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_1227]) ).
cnf(c_2285,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_80,c_1227]) ).
cnf(c_2290,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1227,c_88]) ).
cnf(c_2361,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_1230]) ).
cnf(c_2363,plain,
( multiply(sk_c1,multiply(sk_c8,X0)) = X0
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_1230]) ).
cnf(c_2372,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != sk_c9
| ~ sP4_iProver_split ),
inference(superposition,[status(thm)],[c_1230,c_438]) ).
cnf(c_2389,plain,
( sk_c8 != sk_c9
| ~ sP4_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2372,c_1232]) ).
cnf(c_2413,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| inverse(sk_c6) != sk_c7
| inverse(sk_c6) = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_2169]) ).
cnf(c_2471,plain,
( multiply(sk_c5,sk_c8) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_2493,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_2546,plain,
( inverse(sk_c2) != sk_c9
| X0 != sk_c9
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_2548,plain,
( sk_c8 != X0
| sk_c9 != X0
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_2549,plain,
( sk_c8 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_2571,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1002]) ).
cnf(c_2572,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1144]) ).
cnf(c_2573,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_2574,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2573]) ).
cnf(c_2575,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2572]) ).
cnf(c_2651,plain,
( inverse(sk_c6) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2280,c_59]) ).
cnf(c_2716,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2281,c_58]) ).
cnf(c_2778,plain,
( multiply(identity,multiply(sk_c6,sk_c9)) != X0
| X1 != X0
| X1 = multiply(identity,multiply(sk_c6,sk_c9)) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_2779,plain,
( multiply(identity,multiply(sk_c6,sk_c9)) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,multiply(sk_c6,sk_c9)) ),
inference(instantiation,[status(thm)],[c_2778]) ).
cnf(c_2851,plain,
( inverse(sk_c4) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_2282,c_56]) ).
cnf(c_3012,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_3033,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_2284,c_437]) ).
cnf(c_3092,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != identity
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_2285,c_437]) ).
cnf(c_3460,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_3462,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_3652,plain,
( sk_c7 != X0
| identity != X0
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_2276]) ).
cnf(c_3654,plain,
( sk_c7 != sk_c9
| identity != sk_c9
| sk_c7 = identity ),
inference(instantiation,[status(thm)],[c_3652]) ).
cnf(c_3658,plain,
( inverse(X0) != identity
| sk_c9 != identity
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1173]) ).
cnf(c_3660,plain,
( inverse(sk_c9) != identity
| sk_c9 != identity
| inverse(sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_3658]) ).
cnf(c_3663,plain,
( multiply(sk_c5,sk_c8) != identity
| X0 != identity
| X0 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1180]) ).
cnf(c_3665,plain,
( multiply(sk_c5,sk_c8) != identity
| sk_c9 != identity
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_3663]) ).
cnf(c_3682,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_2276]) ).
cnf(c_3684,plain,
( sk_c8 != sk_c9
| identity != sk_c9
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_3682]) ).
cnf(c_3722,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_1035]) ).
cnf(c_3807,plain,
( multiply(sk_c4,multiply(sk_c9,inverse(sk_c8))) = identity
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_49,c_2290]) ).
cnf(c_3808,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c7))) = identity
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_2290]) ).
cnf(c_3822,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c9))) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_2290]) ).
cnf(c_3824,plain,
( multiply(sk_c1,multiply(sk_c8,inverse(sk_c9))) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_56,c_2290]) ).
cnf(c_4352,plain,
( inverse(sk_c6) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_3722,c_53]) ).
cnf(c_4426,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_1036]) ).
cnf(c_4497,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4426,c_52]) ).
cnf(c_4503,plain,
( inverse(sk_c8) != sk_c9
| ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_4426,c_434]) ).
cnf(c_4539,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4497,c_1227]) ).
cnf(c_4598,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_62,c_1037]) ).
cnf(c_4678,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4598,c_50]) ).
cnf(c_4710,plain,
( multiply(sk_c4,sk_c9) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4678,c_1227]) ).
cnf(c_4927,plain,
( inverse(sk_c6) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_53,c_439]) ).
cnf(c_4929,plain,
( inverse(sk_c4) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_50,c_439]) ).
cnf(c_5077,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_83,c_1044]) ).
cnf(c_5103,plain,
( inverse(sk_c6) = sk_c7
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_5077,c_71]) ).
cnf(c_5162,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_1045]) ).
cnf(c_5185,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_5162,c_70]) ).
cnf(c_5307,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_5185,c_1227]) ).
cnf(c_5396,plain,
( multiply(sk_c8,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_5397,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_5396]) ).
cnf(c_5398,plain,
( multiply(X0,X1) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| multiply(X0,X1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2572]) ).
cnf(c_5399,plain,
( X0 != sk_c8
| X1 != sk_c9
| multiply(X0,X1) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_442]) ).
cnf(c_5400,plain,
( multiply(sk_c9,sk_c9) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_5398]) ).
cnf(c_5401,plain,
( sk_c9 != sk_c8
| sk_c9 != sk_c9
| multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_5399]) ).
cnf(c_5405,plain,
( inverse(sk_c2) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| inverse(sk_c2) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2572]) ).
cnf(c_5406,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| inverse(sk_c2) != sk_c9
| inverse(sk_c2) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_2546]) ).
cnf(c_5486,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_80,c_1046]) ).
cnf(c_5506,plain,
( inverse(sk_c4) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_5486,c_68]) ).
cnf(c_5824,plain,
( multiply(sk_c8,sk_c9) != X0
| X1 != X0
| multiply(sk_c8,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_5883,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| sk_c9 != multiply(sk_c5,sk_c8)
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_5962,plain,
( sk_c7 != X0
| sk_c5 != X0
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_5986,plain,
( inverse(X0) != X1
| sk_c7 != X1
| sk_c7 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_5987,plain,
( inverse(X0) != inverse(X1)
| sk_c7 != inverse(X1)
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_2493]) ).
cnf(c_5988,plain,
( inverse(sk_c9) != sk_c9
| sk_c7 != sk_c9
| sk_c7 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_5986]) ).
cnf(c_5989,plain,
( inverse(sk_c9) != inverse(sk_c9)
| sk_c7 != inverse(sk_c9)
| inverse(sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_5987]) ).
cnf(c_6611,plain,
( multiply(sk_c8,sk_c9) != X0
| sk_c7 != X0
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_1005]) ).
cnf(c_6612,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| sk_c7 != sk_c9
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_6611]) ).
cnf(c_6713,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| sk_c7 != multiply(sk_c5,sk_c8)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1163]) ).
cnf(c_6714,plain,
( sk_c8 != sk_c7
| sk_c9 != sk_c7
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_2548]) ).
cnf(c_6769,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1319,c_80,c_1319]) ).
cnf(c_6895,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_7273,plain,
( multiply(sk_c8,sk_c9) != X0
| inverse(sk_c6) != X0
| multiply(sk_c8,sk_c9) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_7475,plain,
( multiply(sk_c8,sk_c9) != X0
| multiply(sk_c6,sk_c9) != X0
| multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_1261]) ).
cnf(c_7476,plain,
( multiply(sk_c8,sk_c9) != sk_c9
| multiply(sk_c6,sk_c9) != sk_c9
| multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_7475]) ).
cnf(c_7509,plain,
( ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1461,c_82,c_1461]) ).
cnf(c_7521,plain,
( ~ sP2_iProver_split
| inverse(sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1557,c_65,c_1557]) ).
cnf(c_7533,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1559,c_62,c_1559]) ).
cnf(c_9385,plain,
( sP3_iProver_split
| inverse(sk_c6) = sk_c7
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_4927,c_83,c_71,c_1280,c_1335,c_2084,c_2651,c_5103,c_7521]) ).
cnf(c_9386,plain,
( inverse(sk_c6) = sk_c7
| sP1_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_9385]) ).
cnf(c_9529,plain,
( sP3_iProver_split
| inverse(sk_c4) = sk_c9
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_4929,c_80,c_68,c_1282,c_1335,c_2086,c_2851,c_5506,c_7533]) ).
cnf(c_9530,plain,
( inverse(sk_c4) = sk_c9
| sP1_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_9529]) ).
cnf(c_9968,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4539,c_81]) ).
cnf(c_9969,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_4539,c_63]) ).
cnf(c_10122,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4710,c_79]) ).
cnf(c_10123,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4710,c_61]) ).
cnf(c_10218,plain,
( ~ sP3_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1699,c_83,c_1699]) ).
cnf(c_10354,plain,
( multiply(sk_c5,sk_c8) != identity
| sk_c8 != identity
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_3663]) ).
cnf(c_10555,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_split
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_5307,c_436]) ).
cnf(c_10704,plain,
( sk_c7 != inverse(sk_c6)
| sk_c5 != inverse(sk_c6)
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1165]) ).
cnf(c_10708,plain,
( multiply(sk_c5,sk_c8) != identity
| sk_c5 != identity
| sk_c5 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_3663]) ).
cnf(c_10720,plain,
( inverse(sk_c6) != X0
| sk_c5 != X0
| sk_c5 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_1190]) ).
cnf(c_10721,plain,
( inverse(sk_c6) != sk_c9
| sk_c5 != sk_c9
| sk_c5 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_10720]) ).
cnf(c_11439,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_3460]) ).
cnf(c_11440,plain,
( sk_c8 != sk_c8
| sk_c9 != sk_c8
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_11439]) ).
cnf(c_11464,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c5 != multiply(sk_c5,sk_c8)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_3462]) ).
cnf(c_11466,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c5 != multiply(sk_c5,sk_c8)
| sk_c5 = sk_c9 ),
inference(instantiation,[status(thm)],[c_11464]) ).
cnf(c_11587,plain,
multiply(sk_c8,sk_c9) = multiply(sk_c8,sk_c9),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_11685,plain,
( inverse(sk_c6) != identity
| sk_c9 != identity
| inverse(sk_c6) = sk_c9 ),
inference(instantiation,[status(thm)],[c_3658]) ).
cnf(c_12481,plain,
( ~ sP0_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_4503,c_1335,c_2716,c_5185]) ).
cnf(c_13485,plain,
( sk_c8 = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_9968,c_81,c_1007,c_1138,c_4539,c_6713,c_10122,c_10354]) ).
cnf(c_13486,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = sk_c7 ),
inference(renaming,[status(thm)],[c_13485]) ).
cnf(c_13499,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13486,c_1227]) ).
cnf(c_13688,plain,
( sk_c8 = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_9969,c_63,c_1007,c_1138,c_4539,c_6713,c_10123,c_10354]) ).
cnf(c_13689,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(renaming,[status(thm)],[c_13688]) ).
cnf(c_13702,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13689,c_1227]) ).
cnf(c_14656,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c8 = sk_c7
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_13499,c_78]) ).
cnf(c_14657,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = sk_c7
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_13499,c_75]) ).
cnf(c_15749,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c8 = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_13702,c_60]) ).
cnf(c_15750,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_13702,c_57]) ).
cnf(c_16525,plain,
( sk_c7 != sk_c7
| sk_c5 != sk_c7
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_5962]) ).
cnf(c_16888,plain,
( sk_c8 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1333,c_1247,c_1333]) ).
cnf(c_17074,plain,
( sk_c8 != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_1470,c_1232]) ).
cnf(c_17075,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_17074]) ).
cnf(c_17080,plain,
( ~ sP2_iProver_split
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1554,c_66,c_1554]) ).
cnf(c_17092,plain,
( ~ sP2_iProver_split
| multiply(sk_c4,sk_c9) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1556,c_61,c_1556]) ).
cnf(c_17333,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c6,sk_c9)
| inverse(sk_c6) != multiply(sk_c6,sk_c9)
| multiply(sk_c8,sk_c9) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_7273]) ).
cnf(c_18095,plain,
( inverse(sk_c9) = identity
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_3822,c_2361]) ).
cnf(c_18239,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_6895]) ).
cnf(c_18240,plain,
( sk_c9 != identity
| identity != identity
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_18239]) ).
cnf(c_18573,plain,
( inverse(sk_c9) = identity
| inverse(sk_c4) = sk_c9 ),
inference(superposition,[status(thm)],[c_3824,c_2363]) ).
cnf(c_19614,plain,
( multiply(sk_c8,sk_c9) != sk_c8
| X0 != sk_c8
| multiply(sk_c8,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_5824]) ).
cnf(c_19616,plain,
( multiply(sk_c8,sk_c9) != sk_c8
| sk_c9 != sk_c8
| multiply(sk_c8,sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_19614]) ).
cnf(c_19671,plain,
inverse(sk_c4) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_18573,c_80,c_50,c_446,c_1007,c_1171,c_1472,c_2274,c_2549,c_2574,c_2851,c_3092,c_3654,c_3684,c_4598,c_4678,c_5397,c_5405,c_5406,c_5506,c_9530,c_18240,c_19616]) ).
cnf(c_19722,plain,
multiply(sk_c4,multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_19671,c_1230]) ).
cnf(c_19723,plain,
inverse(sk_c9) = sk_c4,
inference(superposition,[status(thm)],[c_19671,c_1232]) ).
cnf(c_19724,plain,
multiply(sk_c4,sk_c9) = identity,
inference(superposition,[status(thm)],[c_19671,c_1227]) ).
cnf(c_19727,plain,
( multiply(sk_c8,X0) = X0
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(demodulation,[status(thm)],[c_852,c_19722]) ).
cnf(c_19730,plain,
( multiply(sk_c8,X0) = X0
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_849,c_19722]) ).
cnf(c_19839,plain,
( ~ sP2_iProver_split
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_17092,c_19724]) ).
cnf(c_19842,plain,
( multiply(sk_c2,sk_c9) = sk_c3
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_73,c_19724]) ).
cnf(c_19843,plain,
( multiply(sk_c9,sk_c3) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_67,c_19724]) ).
cnf(c_19844,plain,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_55,c_19724]) ).
cnf(c_19845,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_79,c_19724]) ).
cnf(c_19847,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_49,c_19724]) ).
cnf(c_19872,plain,
( multiply(sk_c8,sk_c9) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(instantiation,[status(thm)],[c_19730]) ).
cnf(c_19873,plain,
( multiply(sk_c8,sk_c9) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_19727]) ).
cnf(c_19931,plain,
( inverse(sk_c9) = sk_c2
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19845,c_1232]) ).
cnf(c_19935,plain,
( sk_c8 = identity
| sk_c4 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_19931,c_19723]) ).
cnf(c_19999,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP4_iProver_split
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19842,c_438]) ).
cnf(c_20068,plain,
( sk_c8 = sk_c7
| sk_c8 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_19844,c_13702]) ).
cnf(c_20105,plain,
( sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_19847,c_439]) ).
cnf(c_20153,plain,
( sP3_iProver_split
| sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_20105,c_19839,c_19845,c_19843,c_19999,c_20105]) ).
cnf(c_20154,plain,
( sk_c8 = identity
| sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_20153]) ).
cnf(c_20203,plain,
inverse(sk_c6) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_864,c_53,c_445,c_446,c_450,c_1007,c_1171,c_1472,c_2274,c_2549,c_2574,c_2651,c_3660,c_3684,c_3722,c_4352,c_5103,c_5397,c_5400,c_5401,c_5988,c_5989,c_9386,c_18095,c_18240,c_19616]) ).
cnf(c_20247,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_20203,c_1230]) ).
cnf(c_20250,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_20203,c_1010]) ).
cnf(c_20553,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_865,c_82,c_64,c_70,c_52,c_446,c_439,c_1007,c_1171,c_1472,c_1558,c_2085,c_2274,c_2549,c_2574,c_2716,c_3033,c_3654,c_3684,c_4426,c_4497,c_5185,c_5397,c_5405,c_5406,c_12481,c_18240,c_19616]) ).
cnf(c_20596,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_20553,c_1230]) ).
cnf(c_20597,plain,
inverse(sk_c8) = sk_c5,
inference(superposition,[status(thm)],[c_20553,c_1232]) ).
cnf(c_20598,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm)],[c_20553,c_1227]) ).
cnf(c_20599,plain,
multiply(sk_c8,multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_20553,c_1010]) ).
cnf(c_20628,plain,
( multiply(sk_c2,sk_c9) = sk_c3
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_75,c_20598]) ).
cnf(c_20630,plain,
( multiply(sk_c1,sk_c8) = sk_c9
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_57,c_20598]) ).
cnf(c_20633,plain,
( inverse(sk_c1) = sk_c8
| sk_c7 = identity ),
inference(demodulation,[status(thm)],[c_63,c_20598]) ).
cnf(c_20772,plain,
( inverse(sk_c8) = sk_c1
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_20633,c_1232]) ).
cnf(c_20776,plain,
( sk_c7 = identity
| sk_c5 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_20772,c_20597]) ).
cnf(c_20800,plain,
( multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_20628,c_88]) ).
cnf(c_20913,plain,
( multiply(sk_c4,sk_c9) = sk_c3
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_19935,c_19842]) ).
cnf(c_20920,plain,
( sk_c8 = identity
| sk_c3 = identity ),
inference(light_normalisation,[status(thm)],[c_20913,c_19724]) ).
cnf(c_21095,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_20776,c_20630]) ).
cnf(c_21106,plain,
( sk_c9 = identity
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_21095,c_20598]) ).
cnf(c_21315,plain,
( multiply(identity,multiply(sk_c6,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21106,c_20250]) ).
cnf(c_21316,plain,
( multiply(sk_c6,multiply(identity,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21106,c_20247]) ).
cnf(c_21336,plain,
( multiply(sk_c6,X0) = X0
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_21316,c_86]) ).
cnf(c_21353,plain,
( multiply(sk_c6,sk_c9) = sk_c9
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_21336]) ).
cnf(c_21354,plain,
( multiply(identity,multiply(sk_c6,sk_c9)) = sk_c9
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_21315]) ).
cnf(c_21429,plain,
( sk_c8 = sk_c7
| sk_c3 = identity ),
inference(global_subsumption_just,[status(thm)],[c_14656,c_1007,c_1138,c_6713,c_10354,c_14657,c_20598,c_20920]) ).
cnf(c_21466,plain,
( sk_c8 = sk_c7
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_15749,c_1007,c_1138,c_6713,c_10354,c_15750,c_20068,c_20598]) ).
cnf(c_21472,plain,
( sk_c8 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21106,c_21466]) ).
cnf(c_21619,plain,
( inverse(identity) = sk_c5
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21472,c_20597]) ).
cnf(c_21638,plain,
( sk_c9 = identity
| sk_c5 = identity ),
inference(light_normalisation,[status(thm)],[c_21619,c_1210]) ).
cnf(c_21844,plain,
( multiply(sk_c8,multiply(identity,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21638,c_20599]) ).
cnf(c_21858,plain,
( multiply(sk_c8,X0) = X0
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_21844,c_86]) ).
cnf(c_21867,plain,
( multiply(sk_c8,sk_c9) = sk_c9
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_21858]) ).
cnf(c_21916,plain,
multiply(sk_c8,sk_c9) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_3807,c_53,c_54,c_51,c_445,c_446,c_450,c_1007,c_1138,c_1139,c_1150,c_1151,c_1171,c_1472,c_2274,c_2413,c_2549,c_2571,c_2574,c_2651,c_3660,c_3665,c_3684,c_3722,c_4352,c_5103,c_5397,c_5400,c_5401,c_5988,c_5989,c_6612,c_7476,c_9386,c_11587,c_17333,c_18095,c_18240,c_19616,c_19873,c_20598,c_21353]) ).
cnf(c_21922,plain,
( sk_c7 != sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(demodulation,[status(thm)],[c_439,c_21916]) ).
cnf(c_21923,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_21922]) ).
cnf(c_21933,plain,
( inverse(sk_c8) != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_21916,c_437]) ).
cnf(c_21935,plain,
multiply(sk_c5,sk_c7) = sk_c9,
inference(superposition,[status(thm)],[c_21916,c_20596]) ).
cnf(c_21938,plain,
( sk_c7 != sk_c5
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_21933,c_20597]) ).
cnf(c_21954,plain,
multiply(sk_c9,sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_3808,c_82,c_80,c_64,c_70,c_53,c_52,c_50,c_69,c_54,c_51,c_445,c_446,c_450,c_439,c_1007,c_1138,c_1139,c_1150,c_1151,c_1171,c_1318,c_1472,c_1459,c_1558,c_1550,c_1697,c_2085,c_2274,c_2389,c_2413,c_2549,c_2571,c_2574,c_2575,c_2651,c_2716,c_2851,c_3012,c_3033,c_3092,c_3654,c_3660,c_3665,c_3684,c_3722,c_4352,c_4426,c_4497,c_4598,c_4678,c_5103,c_5185,c_5397,c_5400,c_5401,c_5405,c_5406,c_5506,c_5988,c_5989,c_6612,c_6713,c_6714,c_7476,c_9386,c_9530,c_10354,c_11440,c_11587,c_12481,c_17333,c_18095,c_18240,c_19616,c_19843,c_19872,c_19873,c_20598,c_21353]) ).
cnf(c_21961,plain,
( multiply(sk_c9,identity) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_21429,c_21954]) ).
cnf(c_21967,plain,
multiply(sk_c4,sk_c8) = sk_c3,
inference(superposition,[status(thm)],[c_21954,c_19722]) ).
cnf(c_22067,plain,
( sP1_iProver_split
| sP0_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_21923,c_82,c_64,c_70,c_53,c_52,c_54,c_51,c_445,c_446,c_450,c_439,c_1007,c_1138,c_1139,c_1140,c_1150,c_1151,c_1171,c_1247,c_1258,c_1259,c_1472,c_1563,c_1558,c_1614,c_2088,c_2085,c_2274,c_2389,c_2413,c_2549,c_2571,c_2574,c_2575,c_2651,c_2716,c_2779,c_3012,c_3033,c_3654,c_3660,c_3665,c_3684,c_3722,c_4352,c_4426,c_4497,c_5103,c_5185,c_5397,c_5400,c_5401,c_5405,c_5406,c_5883,c_5988,c_5989,c_6612,c_6714,c_7476,c_9386,c_10354,c_10555,c_11440,c_11587,c_12481,c_17080,c_17333,c_18095,c_18240,c_19616,c_19873,c_20154,c_20598,c_21353,c_21354,c_21466,c_21867,c_21961]) ).
cnf(c_22068,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(renaming,[status(thm)],[c_22067]) ).
cnf(c_22069,plain,
( sP3_iProver_split
| sP1_iProver_split
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_22068,c_53,c_54,c_51,c_445,c_446,c_450,c_1007,c_1138,c_1139,c_1150,c_1151,c_1171,c_1247,c_1472,c_2088,c_2274,c_2389,c_2413,c_2549,c_2571,c_2574,c_2575,c_2651,c_3012,c_3660,c_3665,c_3684,c_3722,c_4352,c_5103,c_5397,c_5400,c_5401,c_5883,c_5988,c_5989,c_6612,c_6714,c_7476,c_9386,c_10354,c_11440,c_11587,c_17333,c_18095,c_18240,c_19616,c_19873,c_20154,c_20598,c_21353,c_21867,c_21961,c_22068]) ).
cnf(c_22070,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_22069]) ).
cnf(c_22090,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21466,c_21935]) ).
cnf(c_22098,plain,
sk_c9 = identity,
inference(light_normalisation,[status(thm)],[c_22090,c_20598]) ).
cnf(c_22100,plain,
multiply(sk_c5,sk_c7) = identity,
inference(demodulation,[status(thm)],[c_21935,c_22098]) ).
cnf(c_22123,plain,
inverse(identity) = sk_c4,
inference(demodulation,[status(thm)],[c_19723,c_22098]) ).
cnf(c_22133,plain,
( ~ sP3_iProver_split
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_10218,c_22098]) ).
cnf(c_22134,plain,
( ~ sP1_iProver_split
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_7509,c_22098]) ).
cnf(c_22135,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_6769,c_22098]) ).
cnf(c_22145,plain,
( multiply(sk_c6,identity) = sk_c7
| inverse(sk_c2) = identity ),
inference(demodulation,[status(thm)],[c_84,c_22098]) ).
cnf(c_22194,plain,
sk_c4 = identity,
inference(light_normalisation,[status(thm)],[c_22123,c_1210]) ).
cnf(c_22262,plain,
inverse(sk_c2) = identity,
inference(global_subsumption_just,[status(thm)],[c_22145,c_82,c_64,c_70,c_53,c_52,c_54,c_51,c_445,c_446,c_450,c_439,c_1007,c_1138,c_1139,c_1140,c_1150,c_1151,c_1171,c_1247,c_1258,c_1259,c_1472,c_1563,c_1558,c_1614,c_2088,c_2085,c_2274,c_2389,c_2413,c_2549,c_2571,c_2574,c_2575,c_2651,c_2716,c_2779,c_3012,c_3033,c_3654,c_3660,c_3665,c_3684,c_3722,c_4352,c_4426,c_4497,c_5103,c_5185,c_5397,c_5400,c_5401,c_5405,c_5406,c_5883,c_5988,c_5989,c_6612,c_6714,c_7476,c_9386,c_10354,c_10555,c_11440,c_11587,c_12481,c_17080,c_17333,c_18095,c_18240,c_19616,c_19873,c_20154,c_20598,c_21353,c_21354,c_21466,c_21867,c_21961,c_22135,c_22134,c_22133]) ).
cnf(c_22265,plain,
inverse(identity) = sk_c2,
inference(superposition,[status(thm)],[c_22262,c_1232]) ).
cnf(c_22269,plain,
sk_c2 = identity,
inference(light_normalisation,[status(thm)],[c_22265,c_1210]) ).
cnf(c_22310,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0),
inference(global_subsumption_just,[status(thm)],[c_872,c_82,c_80,c_64,c_70,c_52,c_50,c_446,c_439,c_872,c_871,c_1007,c_1138,c_1164,c_1171,c_1172,c_1472,c_1558,c_1710,c_2085,c_2274,c_2471,c_2549,c_2574,c_2716,c_2851,c_3033,c_3092,c_3654,c_3665,c_3684,c_4426,c_4497,c_4598,c_4678,c_5185,c_5397,c_5405,c_5406,c_5506,c_9530,c_12481,c_18240,c_19616,c_20598,c_20800,c_22070,c_22098]) ).
cnf(c_22313,plain,
multiply(sk_c3,X0) = X0,
inference(light_normalisation,[status(thm)],[c_22310,c_86,c_22098,c_22269]) ).
cnf(c_22324,plain,
sk_c3 = identity,
inference(superposition,[status(thm)],[c_22313,c_1202]) ).
cnf(c_22369,plain,
multiply(identity,sk_c8) = identity,
inference(light_normalisation,[status(thm)],[c_21967,c_22194,c_22324]) ).
cnf(c_22370,plain,
sk_c8 = identity,
inference(demodulation,[status(thm)],[c_22369,c_86]) ).
cnf(c_22374,plain,
inverse(identity) = sk_c5,
inference(demodulation,[status(thm)],[c_20597,c_22370]) ).
cnf(c_22377,plain,
( identity != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_16888,c_22370]) ).
cnf(c_22379,plain,
sk_c5 = identity,
inference(light_normalisation,[status(thm)],[c_22374,c_1210]) ).
cnf(c_22380,plain,
~ sP0_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_22377]) ).
cnf(c_22388,plain,
( sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_22070,c_22380]) ).
cnf(c_22427,plain,
multiply(identity,sk_c7) = identity,
inference(light_normalisation,[status(thm)],[c_22100,c_22379]) ).
cnf(c_22428,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_22427,c_86]) ).
cnf(c_22431,plain,
inverse(sk_c6) = identity,
inference(demodulation,[status(thm)],[c_20203,c_22428]) ).
cnf(c_22432,plain,
( identity != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_17075,c_22428]) ).
cnf(c_22434,plain,
~ sP1_iProver_split,
inference(equality_resolution_simp,[status(thm)],[c_22432]) ).
cnf(c_22435,plain,
sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_22388,c_22434]) ).
cnf(c_22436,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22431,c_22435,c_22379,c_22098,c_21938,c_20598,c_20203,c_16525,c_11685,c_11466,c_10721,c_10708,c_10704,c_3665,c_1139,c_1007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:45:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.88/1.66 % SZS status Started for theBenchmark.p
% 7.88/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.88/1.66
% 7.88/1.66 ------ iProver source info
% 7.88/1.66
% 7.88/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.88/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.88/1.66 git: non_committed_changes: false
% 7.88/1.66 git: last_make_outside_of_git: false
% 7.88/1.66
% 7.88/1.66 ------ Parsing...successful
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.66
% 7.88/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.88/1.66 ------ Proving...
% 7.88/1.66 ------ Problem Properties
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 clauses 45
% 7.88/1.66 conjectures 42
% 7.88/1.66 EPR 0
% 7.88/1.66 Horn 8
% 7.88/1.66 unary 3
% 7.88/1.66 binary 36
% 7.88/1.66 lits 96
% 7.88/1.66 lits eq 86
% 7.88/1.66 fd_pure 0
% 7.88/1.66 fd_pseudo 0
% 7.88/1.66 fd_cond 0
% 7.88/1.66 fd_pseudo_cond 0
% 7.88/1.66 AC symbols 0
% 7.88/1.66
% 7.88/1.66 ------ Schedule dynamic 5 is on
% 7.88/1.66
% 7.88/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------
% 7.88/1.66 Current options:
% 7.88/1.66 ------
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 ------ Proving...
% 7.88/1.66
% 7.88/1.66
% 7.88/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.66
% 7.88/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.66
% 7.88/1.66
%------------------------------------------------------------------------------