TSTP Solution File: GRP317-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP317-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:22:09 EDT 2024
% Result : Unsatisfiable 61.61s 9.18s
% Output : CNFRefutation 61.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 51
% Syntax : Number of clauses : 473 ( 82 unt; 164 nHn; 413 RR)
% Number of literals : 1151 (1050 equ; 516 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 279 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c8) = sk_c7 ),
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_c9 ),
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
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c7) = 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_c7) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_86,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_90,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_96,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c3
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_100,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_102,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
cnf(c_103,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c9) != X3
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c9) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != sk_c9
| inverse(X1) != sk_c8
| inverse(X2) != X3
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(X5) != sk_c9
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(c_104,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_105,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_106,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_107,negated_conjecture,
( inverse(multiply(X0,sk_c9)) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c9) != sk_c7
| multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(X0) != multiply(X0,sk_c9)
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c9
| inverse(sk_c8) != sk_c7 ),
inference(unflattening,[status(thm)],[c_103]) ).
cnf(c_608,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_107]) ).
cnf(c_609,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_107]) ).
cnf(c_610,negated_conjecture,
( multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_107]) ).
cnf(c_611,negated_conjecture,
( inverse(X0) != multiply(X0,sk_c9)
| inverse(multiply(X0,sk_c9)) != sk_c9
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_107]) ).
cnf(c_612,negated_conjecture,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_107]) ).
cnf(c_613,plain,
X0 = X0,
theory(equality) ).
cnf(c_614,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_615,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_616,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_619,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_623,plain,
( inverse(multiply(sk_c9,sk_c9)) != sk_c9
| inverse(sk_c9) != multiply(sk_c9,sk_c9)
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_611]) ).
cnf(c_904,plain,
( multiply(sk_c9,sk_c7) != X0
| sk_c8 != X0
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_905,plain,
( multiply(sk_c9,sk_c7) != sk_c9
| sk_c8 != sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_907,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_908,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_909,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_910,plain,
( sk_c8 != sk_c8
| sk_c9 != sk_c8
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_914,plain,
( inverse(sk_c5) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_915,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_916,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_918,plain,
( X0 != X1
| sk_c8 != X1
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_924,plain,
( multiply(sk_c9,sk_c7) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_939,plain,
( sk_c9 != identity
| sk_c7 != sk_c8
| multiply(sk_c9,sk_c7) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_943,plain,
( inverse(sk_c5) != X0
| X1 != X0
| X1 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_961,plain,
( multiply(identity,sk_c8) != X0
| X1 != X0
| X1 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_982,plain,
( inverse(sk_c2) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_983,plain,
( inverse(sk_c8) != X0
| sk_c7 != X0
| inverse(sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_994,plain,
( inverse(sk_c5) != X0
| X1 != X0
| inverse(sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1030,plain,
( multiply(identity,sk_c8) != X0
| X1 != X0
| multiply(identity,sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1075,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_1189,plain,
( inverse(sk_c5) != sk_c8
| ~ sP0_iProver_def
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_81,c_608]) ).
cnf(c_1201,plain,
( X0 != multiply(sk_c1,sk_c9)
| sk_c8 != multiply(sk_c1,sk_c9)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_1202,plain,
( sk_c8 != multiply(sk_c1,sk_c9)
| sk_c9 != multiply(sk_c1,sk_c9)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1201]) ).
cnf(c_1205,plain,
( X0 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_918]) ).
cnf(c_1211,plain,
( X0 != inverse(sk_c2)
| sk_c8 != inverse(sk_c2)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_1212,plain,
( sk_c8 != inverse(sk_c2)
| sk_c9 != inverse(sk_c2)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1211]) ).
cnf(c_1215,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1239,plain,
( inverse(sk_c6) != sk_c9
| sk_c8 != sk_c7
| ~ sP1_iProver_def
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_609]) ).
cnf(c_1244,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_609]) ).
cnf(c_1246,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(superposition,[status(thm)],[c_55,c_609]) ).
cnf(c_1247,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_609]) ).
cnf(c_1257,plain,
( inverse(inverse(sk_c9)) != sk_c9
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_105,c_609]) ).
cnf(c_1263,plain,
( inverse(sk_c5) != sk_c8
| X0 != sk_c8
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_943]) ).
cnf(c_1291,plain,
( inverse(sk_c5) != sk_c8
| X0 != sk_c8
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_994]) ).
cnf(c_1310,plain,
( multiply(identity,sk_c8) != sk_c8
| X0 != sk_c8
| multiply(identity,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1030]) ).
cnf(c_1311,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c9 != sk_c8
| multiply(identity,sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1310]) ).
cnf(c_1316,plain,
( sk_c9 != X0
| sk_c7 != X1
| multiply(sk_c9,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_1320,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1365,plain,
( inverse(sk_c8) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_54,c_610]) ).
cnf(c_1366,plain,
( inverse(sk_c8) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_52,c_610]) ).
cnf(c_1368,plain,
( inverse(sk_c6) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_610]) ).
cnf(c_1373,plain,
( inverse(sk_c6) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_65,c_610]) ).
cnf(c_1374,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != sk_c7
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_610]) ).
cnf(c_1377,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != sk_c7
| ~ sP2_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_610]) ).
cnf(c_1451,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_1452,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_1465,plain,
( multiply(sk_c1,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1466,plain,
( multiply(sk_c1,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_1465]) ).
cnf(c_1737,plain,
( X0 != sk_c8
| multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = X0 ),
inference(resolution,[status(thm)],[c_614,c_55]) ).
cnf(c_1739,plain,
( X0 != sk_c8
| multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = X0 ),
inference(resolution,[status(thm)],[c_614,c_59]) ).
cnf(c_1795,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_614,c_613]) ).
cnf(c_1807,plain,
( multiply(sk_c9,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1808,plain,
( multiply(sk_c9,sk_c7) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_1807]) ).
cnf(c_1810,plain,
( X0 != sk_c9
| X1 != sk_c7
| multiply(X0,X1) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_1823,plain,
( inverse(sk_c2) != X0
| X1 != X0
| X1 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_2056,plain,
( multiply(sk_c4,sk_c9) != inverse(sk_c4)
| inverse(sk_c3) != sk_c9
| ~ sP3_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_102,c_611]) ).
cnf(c_2057,plain,
( multiply(sk_c4,sk_c9) != inverse(sk_c4)
| inverse(sk_c3) != sk_c9
| ~ sP3_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_100,c_611]) ).
cnf(c_2060,plain,
( multiply(inverse(sk_c9),sk_c9) != inverse(inverse(sk_c9))
| inverse(identity) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_105,c_611]) ).
cnf(c_2079,plain,
( multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c5) != sk_c8
| inverse(sk_c5) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_1291]) ).
cnf(c_2088,plain,
( inverse(sk_c5) != sk_c8
| inverse(sk_c2) != sk_c8
| inverse(sk_c2) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_1263]) ).
cnf(c_2211,plain,
( multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_91,c_106]) ).
cnf(c_2225,plain,
( multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c7,X0)
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_83,c_106]) ).
cnf(c_2249,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_105,c_106]) ).
cnf(c_2459,plain,
( multiply(sk_c6,sk_c9) != sk_c7
| inverse(sk_c6) != sk_c9
| ~ sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_610]) ).
cnf(c_2553,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1320]) ).
cnf(c_2554,plain,
( sk_c9 != identity
| identity != identity
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_2553]) ).
cnf(c_2613,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2249,c_104]) ).
cnf(c_2619,plain,
( multiply(sk_c8,multiply(sk_c2,X0)) = X0
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_80,c_2613]) ).
cnf(c_2622,plain,
( multiply(sk_c3,multiply(sk_c4,X0)) = X0
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_86,c_2613]) ).
cnf(c_2625,plain,
( multiply(sk_c9,multiply(sk_c3,X0)) = X0
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_92,c_2613]) ).
cnf(c_2631,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c7
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_91,c_2613]) ).
cnf(c_2634,plain,
( multiply(inverse(sk_c8),sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_61,c_2613]) ).
cnf(c_2641,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_71,c_2613]) ).
cnf(c_2646,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_65,c_2613]) ).
cnf(c_2650,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_2613]) ).
cnf(c_2659,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_2613]) ).
cnf(c_2660,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_2613]) ).
cnf(c_2661,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_74,c_2613]) ).
cnf(c_2665,plain,
( multiply(inverse(sk_c4),sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_102,c_2613]) ).
cnf(c_2666,plain,
( multiply(inverse(sk_c4),sk_c3) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_100,c_2613]) ).
cnf(c_2667,plain,
( multiply(inverse(sk_c4),sk_c3) = sk_c9
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_98,c_2613]) ).
cnf(c_2669,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_105,c_2613]) ).
cnf(c_2670,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_106,c_2613]) ).
cnf(c_2683,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2613,c_2613]) ).
cnf(c_2716,plain,
( inverse(sk_c5) != multiply(sk_c9,sk_c7)
| X0 != multiply(sk_c9,sk_c7)
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_943]) ).
cnf(c_2760,plain,
( multiply(identity,sk_c8) != inverse(sk_c2)
| X0 != inverse(sk_c2)
| X0 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_961]) ).
cnf(c_2766,plain,
( inverse(sk_c8) != X0
| sk_c9 != X0
| inverse(sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_2880,plain,
( inverse(sk_c5) != sk_c8
| ~ sP0_iProver_def
| inverse(sk_c2) = sk_c8 ),
inference(resolution,[status(thm)],[c_608,c_81]) ).
cnf(c_2886,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_608,c_76]) ).
cnf(c_2889,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_def
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(resolution,[status(thm)],[c_608,c_75]) ).
cnf(c_2890,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(resolution,[status(thm)],[c_608,c_77]) ).
cnf(c_2902,plain,
( sk_c9 != X0
| sk_c7 != sk_c7
| multiply(sk_c9,sk_c7) = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_1316]) ).
cnf(c_2907,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_2908,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_2910,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_2987,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c8) = sk_c7 ),
inference(resolution,[status(thm)],[c_609,c_56]) ).
cnf(c_2988,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(resolution,[status(thm)],[c_609,c_58]) ).
cnf(c_2990,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(resolution,[status(thm)],[c_609,c_55]) ).
cnf(c_2992,plain,
( inverse(sk_c1) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(resolution,[status(thm)],[c_609,c_59]) ).
cnf(c_3040,plain,
( inverse(sk_c6) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(resolution,[status(thm)],[c_610,c_71]) ).
cnf(c_3079,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2669,c_2683]) ).
cnf(c_3092,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2683,c_105]) ).
cnf(c_3188,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(resolution,[status(thm)],[c_612,c_70]) ).
cnf(c_3325,plain,
( ~ sP0_iProver_def
| inverse(sk_c2) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_2880,c_82,c_1189]) ).
cnf(c_3335,plain,
( ~ sP0_iProver_def
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(backward_subsumption_resolution,[status(thm)],[c_2889,c_3325]) ).
cnf(c_3337,plain,
( ~ sP0_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(backward_subsumption_resolution,[status(thm)],[c_2890,c_3325]) ).
cnf(c_3339,plain,
( ~ sP0_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(backward_subsumption_resolution,[status(thm)],[c_2886,c_3325]) ).
cnf(c_3433,plain,
( X0 != X1
| X2 != X3
| X4 != multiply(X1,X3)
| multiply(X0,X2) = X4 ),
inference(resolution,[status(thm)],[c_615,c_614]) ).
cnf(c_3456,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(resolution,[status(thm)],[c_1795,c_50]) ).
cnf(c_3474,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(resolution,[status(thm)],[c_1795,c_53]) ).
cnf(c_3481,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c9) ),
inference(resolution,[status(thm)],[c_1795,c_59]) ).
cnf(c_3514,plain,
X0 = multiply(identity,X0),
inference(resolution,[status(thm)],[c_1795,c_104]) ).
cnf(c_3555,plain,
( X0 != sk_c9
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_1810]) ).
cnf(c_3653,plain,
( inverse(sk_c2) != X0
| X1 != X0
| inverse(sk_c2) = X1 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_3654,plain,
( inverse(sk_c2) != inverse(X0)
| X1 != inverse(X0)
| X1 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_1823]) ).
cnf(c_3656,plain,
( inverse(sk_c2) != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| sk_c9 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_3654]) ).
cnf(c_3698,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_3092]) ).
cnf(c_3699,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_3092]) ).
cnf(c_3700,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_62,c_3092]) ).
cnf(c_3701,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_3092]) ).
cnf(c_3702,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_3092]) ).
cnf(c_3703,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_80,c_3092]) ).
cnf(c_4298,plain,
( inverse(sk_c6) = sk_c9
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3698,c_60]) ).
cnf(c_4408,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3699,c_58]) ).
cnf(c_4534,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_3700,c_56]) ).
cnf(c_4773,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_80,c_2661]) ).
cnf(c_4791,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3701,c_78]) ).
cnf(c_4902,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3702,c_76]) ).
cnf(c_4997,plain,
( inverse(sk_c8) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3703,c_74]) ).
cnf(c_5293,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_2669,c_3079]) ).
cnf(c_5295,plain,
( sk_c8 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1257,c_5293]) ).
cnf(c_5310,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c9) = sk_c3 ),
inference(superposition,[status(thm)],[c_92,c_5293]) ).
cnf(c_5311,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_5293,c_105]) ).
cnf(c_5320,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_5311]) ).
cnf(c_6216,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5320,c_76]) ).
cnf(c_6236,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6216,c_5311]) ).
cnf(c_6463,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6236,c_69]) ).
cnf(c_6465,plain,
( inverse(sk_c3) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6236,c_93]) ).
cnf(c_6466,plain,
( inverse(sk_c4) = sk_c3
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6236,c_87]) ).
cnf(c_6467,plain,
( inverse(sk_c2) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_6236,c_81]) ).
cnf(c_6695,plain,
( X0 != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_6747,plain,
inverse(sk_c8) = inverse(sk_c8),
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_6748,plain,
( inverse(sk_c8) != X0
| X1 != X0
| inverse(sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_6749,plain,
( inverse(sk_c8) != inverse(X0)
| sk_c9 != inverse(X0)
| inverse(sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_2766]) ).
cnf(c_6751,plain,
( inverse(sk_c8) != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| inverse(sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_6749]) ).
cnf(c_7137,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2910]) ).
cnf(c_7140,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_7557,plain,
( inverse(inverse(sk_c8)) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_2634,c_610]) ).
cnf(c_7736,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(resolution,[status(thm)],[c_3481,c_1795]) ).
cnf(c_8217,plain,
( ~ sP1_iProver_def
| inverse(sk_c8) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_2987,c_4534,c_5295]) ).
cnf(c_8228,plain,
( X0 != sk_c7
| ~ sP1_iProver_def
| inverse(sk_c8) = X0 ),
inference(resolution,[status(thm)],[c_8217,c_614]) ).
cnf(c_8239,plain,
( ~ sP1_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_2988,c_4408,c_5295]) ).
cnf(c_8248,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) = sk_c8
| sP0_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3188,c_8239]) ).
cnf(c_8305,plain,
( ~ sP2_iProver_def
| inverse(sk_c1) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_7557,c_66,c_1373]) ).
cnf(c_8442,plain,
( inverse(sk_c2) != sk_c8
| X0 != sk_c8
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_3653]) ).
cnf(c_9162,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_2659]) ).
cnf(c_9191,plain,
( ~ sP1_iProver_def
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_2990,c_61,c_1246]) ).
cnf(c_9217,plain,
( inverse(sk_c6) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_9162,c_54]) ).
cnf(c_9289,plain,
( ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_2992,c_65,c_1244]) ).
cnf(c_9425,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_2660]) ).
cnf(c_9499,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_9425,c_52]) ).
cnf(c_9781,plain,
( ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_3040,c_66,c_1373,c_1368,c_1377,c_9217]) ).
cnf(c_9792,plain,
( ~ sP2_iProver_def
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(resolution,[status(thm)],[c_9781,c_1795]) ).
cnf(c_11532,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_2669,c_3079]) ).
cnf(c_11543,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c4 ),
inference(superposition,[status(thm)],[c_88,c_11532]) ).
cnf(c_11548,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_11532,c_105]) ).
cnf(c_11778,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = sk_c4 ),
inference(superposition,[status(thm)],[c_11543,c_94]) ).
cnf(c_11785,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c9 = sk_c4 ),
inference(superposition,[status(thm)],[c_11778,c_11548]) ).
cnf(c_12303,plain,
( inverse(sk_c2) = sk_c8
| sk_c9 = sk_c4
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_11785,c_81]) ).
cnf(c_12783,plain,
( multiply(sk_c9,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_2650]) ).
cnf(c_12795,plain,
( inverse(sk_c9) != sk_c8
| ~ sP0_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_12783,c_608]) ).
cnf(c_12990,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_2659]) ).
cnf(c_13005,plain,
( inverse(sk_c6) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12990,c_54]) ).
cnf(c_13028,plain,
( multiply(sk_c8,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_2660]) ).
cnf(c_13043,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13028,c_52]) ).
cnf(c_13058,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13043,c_11548]) ).
cnf(c_13351,plain,
( multiply(sk_c3,sk_c3) = sk_c9
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_86,c_2667]) ).
cnf(c_13564,plain,
( inverse(sk_c1) != sk_c9
| sk_c7 != sk_c8
| ~ sP2_iProver_def
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(resolution,[status(thm)],[c_1737,c_610]) ).
cnf(c_13700,plain,
( inverse(sk_c1) != sk_c9
| sk_c7 != sk_c8
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(resolution,[status(thm)],[c_1739,c_610]) ).
cnf(c_14196,plain,
( ~ sP2_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1365,c_66,c_1373,c_1377,c_9217]) ).
cnf(c_14208,plain,
( ~ sP2_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1366,c_1374,c_2459,c_8305,c_9499,c_14196]) ).
cnf(c_15265,plain,
( multiply(sk_c9,sk_c9) = sk_c3
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_13351,c_2625]) ).
cnf(c_15821,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13005,c_2641]) ).
cnf(c_17021,plain,
( inverse(sk_c8) != inverse(sk_c8)
| X0 != inverse(sk_c8)
| inverse(sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_6748]) ).
cnf(c_17022,plain,
( inverse(sk_c8) != X0
| sk_c9 != X0
| sk_c9 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_17188,plain,
( inverse(X0) != X1
| sk_c9 != X1
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_17189,plain,
( inverse(sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_17188]) ).
cnf(c_17375,plain,
( inverse(sk_c8) != sk_c7
| X0 != sk_c7
| inverse(sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_6748]) ).
cnf(c_17401,plain,
( inverse(multiply(X0,sk_c9)) != X1
| sk_c9 != X1
| inverse(multiply(X0,sk_c9)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_17492,plain,
( inverse(sk_c2) != inverse(sk_c5)
| X0 != inverse(sk_c5)
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_3653]) ).
cnf(c_17660,plain,
( X0 != sk_c8
| inverse(X0) = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_17662,plain,
( sk_c9 != sk_c8
| inverse(sk_c9) = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_17660]) ).
cnf(c_17983,plain,
( X0 != sk_c6
| X1 != sk_c9
| multiply(X0,X1) = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_17992,plain,
( X0 != X1
| X2 != identity
| multiply(X2,X0) = X1 ),
inference(resolution,[status(thm)],[c_3514,c_3433]) ).
cnf(c_17993,plain,
( sk_c9 != sk_c9
| sk_c9 != identity
| multiply(sk_c9,sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_17992]) ).
cnf(c_18036,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| inverse(sk_c8) != sk_c7
| inverse(sk_c5) = sk_c8
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_8248,c_3339]) ).
cnf(c_18190,plain,
( multiply(X0,X1) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(X0,X1) = sk_c7 ),
inference(instantiation,[status(thm)],[c_7137]) ).
cnf(c_18218,plain,
( multiply(sk_c9,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_7140]) ).
cnf(c_18219,plain,
( sk_c9 != identity
| sk_c7 != sk_c7
| multiply(sk_c9,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_2902]) ).
cnf(c_18504,plain,
( inverse(sk_c5) != sk_c8
| ~ sP0_iProver_def ),
inference(resolution,[status(thm)],[c_3335,c_608]) ).
cnf(c_18505,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_3337,c_3339,c_18504]) ).
cnf(c_18549,plain,
( ~ sP2_iProver_def
| sk_c7 != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_13564,c_66,c_1373,c_1377,c_2459,c_9217,c_13700]) ).
cnf(c_18550,plain,
( sk_c7 != sk_c8
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_18549]) ).
cnf(c_20703,plain,
( inverse(sk_c2) = sk_c8
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_12303,c_6467]) ).
cnf(c_20714,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_20703,c_11548]) ).
cnf(c_21165,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_12795,c_18505]) ).
cnf(c_21260,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_20714,c_77]) ).
cnf(c_21261,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_20714,c_75]) ).
cnf(c_21262,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_20714,c_73]) ).
cnf(c_21353,plain,
( inverse(sk_c6) != sk_c9
| ~ sP2_iProver_def
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21260,c_610]) ).
cnf(c_21439,plain,
( sk_c8 = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_21261,c_13058]) ).
cnf(c_21515,plain,
( ~ sP2_iProver_def
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_21353,c_66,c_1373,c_1377,c_9217,c_21353]) ).
cnf(c_22149,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_22214,plain,
( multiply(identity,sk_c7) != X0
| sk_c8 != X0
| sk_c8 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_22216,plain,
( sk_c8 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7137]) ).
cnf(c_22574,plain,
( inverse(multiply(X0,sk_c9)) != inverse(X1)
| sk_c9 != inverse(X1)
| inverse(multiply(X0,sk_c9)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_17401]) ).
cnf(c_22575,plain,
( multiply(X0,sk_c9) != X1
| inverse(multiply(X0,sk_c9)) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_22576,plain,
( inverse(multiply(sk_c9,sk_c9)) != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| inverse(multiply(sk_c9,sk_c9)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_22574]) ).
cnf(c_22577,plain,
( multiply(sk_c9,sk_c9) != sk_c9
| inverse(multiply(sk_c9,sk_c9)) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_22575]) ).
cnf(c_22642,plain,
( X0 != sk_c8
| sk_c7 != sk_c8
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_22643,plain,
( sk_c9 != sk_c8
| sk_c7 != sk_c8
| sk_c7 = sk_c9 ),
inference(instantiation,[status(thm)],[c_22642]) ).
cnf(c_22679,plain,
( multiply(sk_c9,sk_c7) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(sk_c8) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_17375]) ).
cnf(c_22786,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_17188]) ).
cnf(c_22789,plain,
( inverse(sk_c3) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_17188]) ).
cnf(c_23126,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_612,c_21165]) ).
cnf(c_23129,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_105,c_3079]) ).
cnf(c_23330,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_2669,c_3079]) ).
cnf(c_23331,plain,
( sk_c8 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_1257,c_23330]) ).
cnf(c_23346,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_23330,c_105]) ).
cnf(c_23349,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4298,c_23346]) ).
cnf(c_23355,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82,c_23346]) ).
cnf(c_23366,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_23346,c_106]) ).
cnf(c_23367,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_23346,c_106]) ).
cnf(c_23382,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_23349,c_83]) ).
cnf(c_23551,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_23366,c_104]) ).
cnf(c_23884,plain,
( inverse(sk_c5) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23355,c_76]) ).
cnf(c_23890,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23884,c_23346]) ).
cnf(c_23960,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23890,c_69]) ).
cnf(c_23961,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23890,c_51]) ).
cnf(c_23964,plain,
( inverse(sk_c2) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23890,c_81]) ).
cnf(c_24050,plain,
( multiply(sk_c8,sk_c2) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_23964,c_105]) ).
cnf(c_24062,plain,
( multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c7
| sk_c9 = identity
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_23961,c_23126]) ).
cnf(c_24234,plain,
( inverse(inverse(sk_c8)) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c3) = sk_c9 ),
inference(superposition,[status(thm)],[c_2631,c_610]) ).
cnf(c_25109,plain,
( inverse(multiply(sk_c8,sk_c2)) = identity
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_2619,c_23367]) ).
cnf(c_25222,plain,
( multiply(sk_c9,X0) = multiply(sk_c4,X0)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_2622,c_2625]) ).
cnf(c_25489,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c_106,c_2670]) ).
cnf(c_25762,plain,
( multiply(inverse(multiply(X0,inverse(sk_c6))),multiply(X0,sk_c9)) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(superposition,[status(thm)],[c_2646,c_2670]) ).
cnf(c_25785,plain,
( multiply(inverse(multiply(X0,inverse(sk_c4))),multiply(X0,sk_c9)) = sk_c3
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_2666,c_2670]) ).
cnf(c_25786,plain,
( multiply(inverse(multiply(X0,inverse(sk_c4))),multiply(X0,sk_c9)) = sk_c3
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_2665,c_2670]) ).
cnf(c_25789,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_23346,c_2670]) ).
cnf(c_25790,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_23551,c_2670]) ).
cnf(c_25791,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = multiply(X2,inverse(multiply(X1,X2))),
inference(superposition,[status(thm)],[c_23367,c_2670]) ).
cnf(c_25825,plain,
multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),inverse(X2))) = identity,
inference(superposition,[status(thm)],[c_2670,c_23367]) ).
cnf(c_25870,plain,
multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_25791,c_25789]) ).
cnf(c_25928,plain,
( multiply(inverse(inverse(sk_c4)),sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
inference(demodulation,[status(thm)],[c_25786,c_25790]) ).
cnf(c_25929,plain,
( multiply(inverse(inverse(sk_c4)),sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_25785,c_25790]) ).
cnf(c_25943,plain,
( multiply(inverse(inverse(sk_c6)),sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(demodulation,[status(thm)],[c_25762,c_25790]) ).
cnf(c_26078,plain,
( multiply(sk_c8,inverse(sk_c9)) = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_51,c_25870]) ).
cnf(c_26121,plain,
multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_106,c_25870]) ).
cnf(c_26245,plain,
multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_25870,c_106]) ).
cnf(c_26390,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_25789,c_3079]) ).
cnf(c_26419,plain,
( multiply(inverse(sk_c7),sk_c6) = inverse(sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_53,c_26390]) ).
cnf(c_26735,plain,
( inverse(sk_c8) = sk_c2
| sk_c8 = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_23382,c_23330]) ).
cnf(c_27103,plain,
( multiply(identity,sk_c8) = inverse(sk_c2)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[status(thm)],[c_25109,c_26390]) ).
cnf(c_27950,plain,
( multiply(sk_c8,sk_c9) != sk_c8
| inverse(sk_c2) != sk_c8
| inverse(sk_c2) = multiply(sk_c8,sk_c9) ),
inference(instantiation,[status(thm)],[c_8442]) ).
cnf(c_27952,plain,
( inverse(sk_c2) != multiply(sk_c8,sk_c9)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c7 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_6695]) ).
cnf(c_28643,plain,
( multiply(X0,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(X0,sk_c9) ),
inference(instantiation,[status(thm)],[c_1451]) ).
cnf(c_28644,plain,
( multiply(sk_c9,sk_c9) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_28643]) ).
cnf(c_29209,plain,
( inverse(sk_c8) != multiply(identity,sk_c8)
| sk_c7 != multiply(identity,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(instantiation,[status(thm)],[c_983]) ).
cnf(c_29316,plain,
( multiply(identity,sk_c8) != inverse(sk_c2)
| sk_c7 != inverse(sk_c2)
| sk_c7 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_2760]) ).
cnf(c_30302,plain,
( inverse(X0) != inverse(sk_c5)
| inverse(sk_c2) != inverse(sk_c5)
| inverse(sk_c2) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_17492]) ).
cnf(c_30303,plain,
( inverse(sk_c9) != inverse(sk_c5)
| inverse(sk_c2) != inverse(sk_c5)
| inverse(sk_c2) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_30302]) ).
cnf(c_30676,plain,
( inverse(X0) != inverse(sk_c8)
| inverse(sk_c8) != inverse(sk_c8)
| inverse(sk_c8) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_17021]) ).
cnf(c_30680,plain,
( inverse(sk_c8) != inverse(sk_c8)
| inverse(sk_c9) != inverse(sk_c8)
| inverse(sk_c8) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_30676]) ).
cnf(c_31293,plain,
( multiply(identity,sk_c8) != X0
| inverse(sk_c8) != X0
| inverse(sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_961]) ).
cnf(c_31299,plain,
( multiply(identity,sk_c8) != sk_c9
| inverse(sk_c8) != sk_c9
| inverse(sk_c8) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_31293]) ).
cnf(c_31383,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_31385,plain,
( sk_c8 != sk_c9
| identity != sk_c9
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_31383]) ).
cnf(c_31526,plain,
( inverse(sk_c8) != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c8) ),
inference(instantiation,[status(thm)],[c_17022]) ).
cnf(c_31953,plain,
( multiply(identity,sk_c7) != multiply(sk_c9,sk_c7)
| inverse(sk_c5) != multiply(sk_c9,sk_c7)
| multiply(identity,sk_c7) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_2716]) ).
cnf(c_32096,plain,
( sk_c8 != sk_c6
| sk_c9 != sk_c9
| multiply(sk_c8,sk_c9) = multiply(sk_c6,sk_c9) ),
inference(instantiation,[status(thm)],[c_17983]) ).
cnf(c_32421,plain,
( multiply(identity,sk_c7) != inverse(sk_c5)
| sk_c8 != inverse(sk_c5)
| sk_c8 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_22214]) ).
cnf(c_32440,plain,
( sk_c7 != sk_c7
| identity != sk_c9
| multiply(identity,sk_c7) = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_3555]) ).
cnf(c_32719,plain,
( X0 != multiply(X1,X2)
| sk_c7 != multiply(X1,X2)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2910]) ).
cnf(c_32726,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c7 != multiply(sk_c9,sk_c9)
| sk_c9 = sk_c7 ),
inference(instantiation,[status(thm)],[c_32719]) ).
cnf(c_33002,plain,
( multiply(sk_c9,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(sk_c9,sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_18190]) ).
cnf(c_34548,plain,
( X0 != sk_c7
| sk_c8 != sk_c7
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_34549,plain,
( sk_c8 != sk_c7
| sk_c9 != sk_c7
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_34548]) ).
cnf(c_35818,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| sk_c7 != multiply(sk_c9,sk_c7)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1205]) ).
cnf(c_36393,plain,
( ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1244,c_9289]) ).
cnf(c_36510,plain,
( inverse(multiply(X0,sk_c9)) != X1
| X2 != X1
| inverse(multiply(X0,sk_c9)) = X2 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36512,plain,
( multiply(X0,sk_c9) != X1
| inverse(multiply(X0,sk_c9)) = inverse(X1) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_36522,plain,
( inverse(sk_c9) != X0
| X1 != X0
| inverse(sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36524,plain,
( sk_c9 != X0
| inverse(sk_c9) = inverse(X0) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_36544,plain,
( inverse(X0) != X1
| sk_c9 != X1
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36552,plain,
( inverse(multiply(X0,sk_c9)) != inverse(X1)
| X2 != inverse(X1)
| inverse(multiply(X0,sk_c9)) = X2 ),
inference(instantiation,[status(thm)],[c_36510]) ).
cnf(c_36578,plain,
( inverse(sk_c9) != inverse(X0)
| X1 != inverse(X0)
| inverse(sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_36522]) ).
cnf(c_36634,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36635,plain,
( inverse(X0) != inverse(X1)
| sk_c9 != inverse(X1)
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_36544]) ).
cnf(c_36678,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36694,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(instantiation,[status(thm)],[c_3079]) ).
cnf(c_36910,plain,
( sk_c8 != X0
| sk_c9 != X0
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36912,plain,
( inverse(sk_c9) != inverse(sk_c6)
| sk_c9 != inverse(sk_c6)
| inverse(sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_36578]) ).
cnf(c_36929,plain,
( sk_c9 != X0
| sk_c3 != X0
| sk_c9 = sk_c3 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_36932,plain,
( inverse(multiply(X0,sk_c9)) != inverse(sk_c3)
| sk_c9 != inverse(sk_c3)
| inverse(multiply(X0,sk_c9)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_36552]) ).
cnf(c_37078,plain,
( multiply(inverse(X0),identity) != inverse(X0)
| inverse(sk_c9) != inverse(X0)
| inverse(sk_c9) = multiply(inverse(X0),identity) ),
inference(instantiation,[status(thm)],[c_36578]) ).
cnf(c_37098,plain,
( inverse(X0) != inverse(sk_c6)
| sk_c9 != inverse(sk_c6)
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_36635]) ).
cnf(c_37099,plain,
( inverse(sk_c9) != inverse(sk_c6)
| sk_c9 != inverse(sk_c6)
| sk_c9 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_37098]) ).
cnf(c_37124,plain,
( inverse(sk_c5) != sk_c8
| X0 != sk_c8
| inverse(sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_36634]) ).
cnf(c_37127,plain,
( inverse(sk_c4) != sk_c3
| X0 != sk_c3
| inverse(sk_c4) = X0 ),
inference(instantiation,[status(thm)],[c_36634]) ).
cnf(c_37223,plain,
( inverse(sk_c4) != sk_c3
| X0 != sk_c3
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_36678]) ).
cnf(c_37397,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_37413,plain,
( multiply(sk_c9,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_37414,plain,
( multiply(sk_c9,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_37413]) ).
cnf(c_38274,plain,
( multiply(inverse(inverse(sk_c8)),identity) != sk_c8
| inverse(sk_c5) != sk_c8
| inverse(sk_c5) = multiply(inverse(inverse(sk_c8)),identity) ),
inference(instantiation,[status(thm)],[c_37124]) ).
cnf(c_38275,plain,
multiply(inverse(inverse(sk_c8)),identity) = sk_c8,
inference(instantiation,[status(thm)],[c_2669]) ).
cnf(c_38409,plain,
( multiply(sk_c4,sk_c9) != sk_c3
| inverse(sk_c4) != sk_c3
| inverse(sk_c4) = multiply(sk_c4,sk_c9) ),
inference(instantiation,[status(thm)],[c_37127]) ).
cnf(c_38624,plain,
( multiply(sk_c4,sk_c9) != sk_c3
| inverse(sk_c4) != sk_c3
| multiply(sk_c4,sk_c9) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_37223]) ).
cnf(c_38628,plain,
sk_c3 = sk_c3,
inference(instantiation,[status(thm)],[c_613]) ).
cnf(c_38697,plain,
( sk_c9 != sk_c6
| inverse(sk_c9) = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_36524]) ).
cnf(c_38794,plain,
( sk_c8 != identity
| sk_c9 != identity
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_36910]) ).
cnf(c_38834,plain,
( multiply(X0,sk_c9) != sk_c3
| inverse(multiply(X0,sk_c9)) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_36512]) ).
cnf(c_39520,plain,
( multiply(sk_c9,sk_c9) != X0
| inverse(X1) != X0
| inverse(X1) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_37413]) ).
cnf(c_39524,plain,
( multiply(sk_c9,sk_c9) != sk_c9
| inverse(sk_c9) != sk_c9
| inverse(sk_c9) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_39520]) ).
cnf(c_39527,plain,
( multiply(sk_c9,sk_c9) != X0
| sk_c3 != X0
| sk_c3 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_37413]) ).
cnf(c_39528,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c3 != multiply(sk_c9,sk_c9)
| sk_c9 = sk_c3 ),
inference(instantiation,[status(thm)],[c_36929]) ).
cnf(c_42874,plain,
( inverse(sk_c5) != multiply(inverse(inverse(sk_c8)),identity)
| X0 != multiply(inverse(inverse(sk_c8)),identity)
| X0 = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_36678]) ).
cnf(c_43467,plain,
( X0 != multiply(sk_c6,sk_c9)
| sk_c7 != multiply(sk_c6,sk_c9)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_37397]) ).
cnf(c_44774,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c9 != X0
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_46814,plain,
( X0 != sk_c6
| X1 != sk_c9
| multiply(X0,X1) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c9) ),
inference(resolution,[status(thm)],[c_7736,c_3433]) ).
cnf(c_46815,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c6
| multiply(sk_c9,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c9) ),
inference(instantiation,[status(thm)],[c_46814]) ).
cnf(c_47774,plain,
( multiply(sk_c4,sk_c9) != sk_c3
| inverse(multiply(sk_c4,sk_c9)) = inverse(sk_c3) ),
inference(instantiation,[status(thm)],[c_38834]) ).
cnf(c_47981,plain,
( multiply(sk_c9,sk_c9) != sk_c3
| sk_c3 != sk_c3
| sk_c3 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_39527]) ).
cnf(c_48937,plain,
( inverse(multiply(sk_c4,sk_c9)) != inverse(sk_c3)
| sk_c9 != inverse(sk_c3)
| inverse(multiply(sk_c4,sk_c9)) = sk_c9 ),
inference(instantiation,[status(thm)],[c_36932]) ).
cnf(c_48968,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,X1)
| sk_c9 != multiply(X0,X1)
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(instantiation,[status(thm)],[c_44774]) ).
cnf(c_48969,plain,
( sk_c8 != X0
| sk_c7 != X1
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_48970,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c9)
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(instantiation,[status(thm)],[c_48968]) ).
cnf(c_48971,plain,
( sk_c8 != sk_c9
| sk_c7 != sk_c9
| multiply(sk_c8,sk_c7) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_48969]) ).
cnf(c_52506,plain,
( X0 != inverse(sk_c8)
| inverse(X0) = inverse(inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_616]) ).
cnf(c_52508,plain,
( sk_c9 != inverse(sk_c8)
| inverse(sk_c9) = inverse(inverse(sk_c8)) ),
inference(instantiation,[status(thm)],[c_52506]) ).
cnf(c_52520,plain,
multiply(inverse(inverse(sk_c8)),identity) = inverse(inverse(sk_c8)),
inference(instantiation,[status(thm)],[c_36694]) ).
cnf(c_53082,plain,
( inverse(sk_c9) != multiply(inverse(inverse(sk_c8)),identity)
| inverse(sk_c5) != multiply(inverse(inverse(sk_c8)),identity)
| inverse(sk_c9) = inverse(sk_c5) ),
inference(instantiation,[status(thm)],[c_42874]) ).
cnf(c_53083,plain,
( multiply(inverse(inverse(sk_c8)),identity) != inverse(inverse(sk_c8))
| inverse(sk_c9) != inverse(inverse(sk_c8))
| inverse(sk_c9) = multiply(inverse(inverse(sk_c8)),identity) ),
inference(instantiation,[status(thm)],[c_37078]) ).
cnf(c_54024,plain,
( inverse(X0) != sk_c3
| sk_c9 != sk_c3
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_36544]) ).
cnf(c_54025,plain,
( inverse(sk_c9) != sk_c3
| sk_c9 != sk_c3
| sk_c9 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_54024]) ).
cnf(c_55005,plain,
( inverse(multiply(sk_c4,sk_c9)) != sk_c9
| inverse(sk_c4) != multiply(sk_c4,sk_c9)
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_611]) ).
cnf(c_56713,plain,
inverse(sk_c8) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_25222,c_80,c_619,c_916,c_1311,c_3456,c_4534,c_4773,c_4997,c_5310,c_6747,c_6751,c_15265,c_17662,c_17993,c_27103,c_27950,c_27952,c_29209,c_29316,c_30680,c_31299,c_37414,c_38628,c_38794,c_39528,c_47981,c_54025]) ).
cnf(c_56796,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sk_c7 != sk_c7
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_23126,c_56713]) ).
cnf(c_56803,plain,
( multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sk_c9 = identity
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_24062,c_56713]) ).
cnf(c_56810,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_56796]) ).
cnf(c_56811,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_56713,c_23551]) ).
cnf(c_56813,plain,
inverse(sk_c7) = sk_c8,
inference(superposition,[status(thm)],[c_56713,c_23330]) ).
cnf(c_56814,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm)],[c_56713,c_105]) ).
cnf(c_56816,plain,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_25928,c_96,c_90,c_66,c_102,c_72,c_54,c_619,c_910,c_909,c_1247,c_1452,c_2056,c_4298,c_4791,c_9217,c_14196,c_17993,c_22149,c_22643,c_37414,c_38624,c_38794,c_48970,c_48971,c_56810]) ).
cnf(c_56886,plain,
multiply(sk_c6,multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_56816,c_23551]) ).
cnf(c_56887,plain,
multiply(sk_c6,sk_c9) = identity,
inference(superposition,[status(thm)],[c_56816,c_23346]) ).
cnf(c_56888,plain,
inverse(sk_c9) = sk_c6,
inference(superposition,[status(thm)],[c_56816,c_23330]) ).
cnf(c_56889,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm)],[c_56816,c_105]) ).
cnf(c_56939,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_56814,c_106]) ).
cnf(c_56960,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_56939,c_104]) ).
cnf(c_57058,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_25929,c_94,c_88,c_80,c_100,c_52,c_619,c_910,c_909,c_916,c_1311,c_1452,c_2057,c_3456,c_4408,c_4534,c_4773,c_4902,c_4997,c_5310,c_6747,c_6751,c_9499,c_14208,c_15265,c_17662,c_17993,c_18036,c_22149,c_22643,c_27103,c_27950,c_27952,c_29209,c_29316,c_30680,c_31299,c_37414,c_38624,c_38628,c_38794,c_39528,c_47981,c_48970,c_48971,c_54025]) ).
cnf(c_57120,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm)],[c_57058,c_105]) ).
cnf(c_57126,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_24234,c_1452,c_2907,c_2908,c_9792,c_18218,c_18219,c_18550,c_21515,c_35818]) ).
cnf(c_57128,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_56810,c_57126]) ).
cnf(c_57129,plain,
( multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sk_c9 = identity
| sP1_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_56803,c_57126]) ).
cnf(c_57416,plain,
( inverse(sk_c1) = sk_c9
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_25943,c_56816,c_56887,c_56888]) ).
cnf(c_57425,plain,
( multiply(sk_c9,sk_c1) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_57416,c_105]) ).
cnf(c_57543,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_26078,c_56888,c_57058]) ).
cnf(c_57855,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_26419,c_56813,c_56888]) ).
cnf(c_57872,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_57855,c_57543]) ).
cnf(c_58486,plain,
( multiply(sk_c9,X0) = X0
| inverse(sk_c3) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_2211,c_56811]) ).
cnf(c_58513,plain,
( inverse(sk_c3) = sk_c9
| sk_c8 = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_58486,c_23960]) ).
cnf(c_58804,plain,
( sk_c8 = sk_c7
| sk_c9 = identity ),
inference(global_subsumption_just,[status(thm)],[c_58513,c_21439]) ).
cnf(c_58809,plain,
( inverse(sk_c9) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_58804,c_23129]) ).
cnf(c_58811,plain,
( multiply(sk_c9,X0) = X0
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_58804,c_104]) ).
cnf(c_58930,plain,
( multiply(sk_c7,X0) = X0
| inverse(sk_c2) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_2225,c_56886]) ).
cnf(c_58957,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_58930,c_56814]) ).
cnf(c_59040,plain,
sk_c8 = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_58811,c_619,c_905,c_910,c_909,c_914,c_982,c_1075,c_1212,c_1452,c_1808,c_2079,c_2088,c_2554,c_2907,c_2908,c_3656,c_15821,c_17189,c_18219,c_21439,c_22216,c_22679,c_30303,c_31526,c_31953,c_32421,c_32440,c_33002,c_38274,c_38275,c_38794,c_52508,c_52520,c_53082,c_53083,c_56713,c_57058,c_58809,c_58957]) ).
cnf(c_59066,plain,
( multiply(sk_c9,sk_c1) = identity
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_57425,c_59040]) ).
cnf(c_59078,plain,
multiply(sk_c8,multiply(sk_c8,X0)) = X0,
inference(demodulation,[status(thm)],[c_56960,c_59040]) ).
cnf(c_59079,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm)],[c_56814,c_59040]) ).
cnf(c_59083,plain,
( ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c8 ),
inference(demodulation,[status(thm)],[c_36393,c_59040]) ).
cnf(c_59101,plain,
( multiply(sk_c8,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c3 ),
inference(demodulation,[status(thm)],[c_97,c_59040]) ).
cnf(c_59143,plain,
( multiply(sk_c4,sk_c9) = sk_c3
| sk_c9 = identity ),
inference(light_normalisation,[status(thm)],[c_59101,c_59079]) ).
cnf(c_59178,plain,
( multiply(sk_c8,identity) = sk_c2
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_24050,c_59078]) ).
cnf(c_59184,plain,
multiply(sk_c8,identity) = sk_c5,
inference(superposition,[status(thm)],[c_57120,c_59078]) ).
cnf(c_59202,plain,
( sk_c9 = identity
| sk_c5 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_59178,c_59184]) ).
cnf(c_59220,plain,
( ~ sP1_iProver_def
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_59083,c_56887]) ).
cnf(c_59223,plain,
~ sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_59220,c_23331]) ).
cnf(c_59224,plain,
( multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sk_c9 = identity
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_57129,c_59223]) ).
cnf(c_59225,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_57128,c_59223]) ).
cnf(c_59226,plain,
sk_c9 = identity,
inference(global_subsumption_just,[status(thm)],[c_59202,c_619,c_6466,c_6465,c_6463,c_21262,c_22789,c_38409,c_47774,c_48937,c_55005,c_59143,c_59224]) ).
cnf(c_59248,plain,
multiply(sk_c9,sk_c6) = sk_c9,
inference(demodulation,[status(thm)],[c_56889,c_59226]) ).
cnf(c_59265,plain,
multiply(sk_c9,X0) = X0,
inference(demodulation,[status(thm)],[c_104,c_59226]) ).
cnf(c_59266,plain,
sk_c9 = sk_c6,
inference(demodulation,[status(thm)],[c_59248,c_59265]) ).
cnf(c_59355,plain,
( multiply(sk_c9,sk_c1) = sk_c9
| sk_c8 = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_59066,c_59226]) ).
cnf(c_62054,plain,
~ sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_2060,c_96,c_90,c_66,c_102,c_72,c_54,c_619,c_623,c_910,c_909,c_1247,c_1452,c_2056,c_4298,c_4791,c_6466,c_6465,c_6463,c_9217,c_14196,c_17993,c_21262,c_22149,c_22576,c_22577,c_22643,c_22786,c_22789,c_36912,c_37099,c_37414,c_38409,c_38624,c_38697,c_38794,c_39524,c_47774,c_48937,c_48970,c_48971,c_55005,c_56810,c_59143,c_59224,c_59266]) ).
cnf(c_62056,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8 ),
inference(backward_subsumption_resolution,[status(thm)],[c_59225,c_62054]) ).
cnf(c_62588,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(demodulation,[status(thm)],[c_25489,c_106]) ).
cnf(c_62834,plain,
multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X3))) = multiply(inverse(X2),X3),
inference(superposition,[status(thm)],[c_23551,c_62588]) ).
cnf(c_62897,plain,
multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,multiply(X2,multiply(X3,X0))),X4))) = X4,
inference(superposition,[status(thm)],[c_62588,c_2670]) ).
cnf(c_62910,plain,
multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(X0,multiply(X1,multiply(X2,X3))),
inference(superposition,[status(thm)],[c_62588,c_23551]) ).
cnf(c_62953,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(demodulation,[status(thm)],[c_62897,c_62834,c_62910]) ).
cnf(c_63271,plain,
multiply(inverse(X0),multiply(inverse(X1),multiply(X1,multiply(X0,X2)))) = X2,
inference(demodulation,[status(thm)],[c_62953,c_106]) ).
cnf(c_63439,plain,
multiply(multiply(X0,multiply(X1,X2)),inverse(X2)) = inverse(multiply(inverse(X1),inverse(X0))),
inference(superposition,[status(thm)],[c_63271,c_26121]) ).
cnf(c_64480,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_8228,c_96,c_94,c_90,c_88,c_80,c_66,c_102,c_100,c_72,c_54,c_52,c_619,c_905,c_910,c_909,c_914,c_915,c_916,c_924,c_939,c_982,c_1075,c_1212,c_1247,c_1239,c_1311,c_1452,c_1808,c_2057,c_2056,c_2079,c_2088,c_2554,c_2907,c_2908,c_3456,c_3656,c_4298,c_4408,c_4534,c_4773,c_4791,c_4902,c_4997,c_5310,c_6466,c_6465,c_6463,c_6747,c_6751,c_9191,c_9217,c_9499,c_14196,c_14208,c_15265,c_15821,c_17189,c_17662,c_17993,c_18036,c_18219,c_21262,c_21439,c_22149,c_22216,c_22643,c_22679,c_22789,c_27103,c_27950,c_27952,c_29209,c_29316,c_30303,c_30680,c_31299,c_31526,c_31953,c_32421,c_32440,c_33002,c_37414,c_38274,c_38275,c_38409,c_38624,c_38628,c_38794,c_39528,c_47774,c_47981,c_48937,c_48970,c_48971,c_52508,c_52520,c_53082,c_53083,c_54025,c_55005,c_56810,c_58809,c_58957,c_59143,c_59224,c_62056]) ).
cnf(c_69215,plain,
multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(X1),inverse(X0)))) = sk_c9,
inference(light_normalisation,[status(thm)],[c_25825,c_59226,c_63439]) ).
cnf(c_69225,plain,
( multiply(inverse(sk_c9),inverse(multiply(inverse(sk_c1),inverse(sk_c9)))) = sk_c9
| sk_c8 = sk_c9 ),
inference(superposition,[status(thm)],[c_59355,c_69215]) ).
cnf(c_69330,plain,
inverse(multiply(inverse(X0),inverse(X1))) = multiply(multiply(X1,X0),sk_c9),
inference(superposition,[status(thm)],[c_69215,c_23551]) ).
cnf(c_69333,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),inverse(X0)))) = multiply(X1,sk_c9),
inference(superposition,[status(thm)],[c_69215,c_26245]) ).
cnf(c_69335,plain,
multiply(inverse(X0),multiply(multiply(X0,X1),sk_c9)) = multiply(X1,sk_c9),
inference(demodulation,[status(thm)],[c_69333,c_69330]) ).
cnf(c_69347,plain,
( multiply(sk_c1,sk_c9) = sk_c9
| sk_c8 = sk_c9 ),
inference(demodulation,[status(thm)],[c_69225,c_69335,c_69330]) ).
cnf(c_69883,plain,
sk_c8 = identity,
inference(global_subsumption_just,[status(thm)],[c_26735,c_619,c_1075,c_1202,c_1452,c_1466,c_2554,c_17993,c_28644,c_31385,c_32726,c_34549,c_37414,c_46815,c_59040,c_59226,c_59266,c_69347]) ).
cnf(c_78939,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c6,sk_c9)
| sk_c7 != multiply(sk_c6,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(instantiation,[status(thm)],[c_43467]) ).
cnf(c_78940,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_78939,c_69883,c_64480,c_59266,c_59226,c_59040,c_57872,c_57126,c_56816,c_56713,c_48971,c_48970,c_39524,c_38794,c_38697,c_37414,c_37099,c_36912,c_32096,c_22786,c_22643,c_22577,c_22576,c_22149,c_18505,c_17993,c_3474,c_1452,c_939,c_924,c_916,c_915,c_909,c_910,c_612,c_623,c_619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP317-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 00:14:57 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 61.61/9.18 % SZS status Started for theBenchmark.p
% 61.61/9.18 % SZS status Unsatisfiable for theBenchmark.p
% 61.61/9.18
% 61.61/9.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.61/9.18
% 61.61/9.18 ------ iProver source info
% 61.61/9.18
% 61.61/9.18 git: date: 2024-05-02 19:28:25 +0000
% 61.61/9.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.61/9.18 git: non_committed_changes: false
% 61.61/9.18
% 61.61/9.18 ------ Parsing...successful
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 61.61/9.18
% 61.61/9.18 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 61.61/9.18
% 61.61/9.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 61.61/9.18 ------ Proving...
% 61.61/9.18 ------ Problem Properties
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18 clauses 62
% 61.61/9.18 conjectures 59
% 61.61/9.18 EPR 0
% 61.61/9.18 Horn 7
% 61.61/9.18 unary 3
% 61.61/9.18 binary 54
% 61.61/9.18 lits 131
% 61.61/9.18 lits eq 123
% 61.61/9.18 fd_pure 0
% 61.61/9.18 fd_pseudo 0
% 61.61/9.18 fd_cond 0
% 61.61/9.18 fd_pseudo_cond 0
% 61.61/9.18 AC symbols 0
% 61.61/9.18
% 61.61/9.18 ------ Input Options Time Limit: Unbounded
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18 ------
% 61.61/9.18 Current options:
% 61.61/9.18 ------
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18 ------ Proving...
% 61.61/9.18
% 61.61/9.18
% 61.61/9.18 % SZS status Unsatisfiable for theBenchmark.p
% 61.61/9.18
% 61.61/9.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.61/9.18
% 61.61/9.19
%------------------------------------------------------------------------------