TSTP Solution File: GRP289-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 00:59:09 EDT 2023
% Result : Unsatisfiable 7.94s 1.51s
% Output : CNFRefutation 7.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 32
% Syntax : Number of clauses : 393 ( 85 unt; 152 nHn; 331 RR)
% Number of literals : 881 ( 760 equ; 352 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_330,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_74]) ).
cnf(c_331,negated_conjecture,
( multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_74]) ).
cnf(c_332,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_74]) ).
cnf(c_333,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_74]) ).
cnf(c_334,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_335,plain,
X0 = X0,
theory(equality) ).
cnf(c_336,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_337,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_341,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_630,plain,
( multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_77]) ).
cnf(c_633,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_77]) ).
cnf(c_634,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_77]) ).
cnf(c_635,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_77]) ).
cnf(c_642,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_742,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_642,c_75]) ).
cnf(c_751,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_59,c_742]) ).
cnf(c_754,plain,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_742]) ).
cnf(c_758,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_742]) ).
cnf(c_760,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_54,c_742]) ).
cnf(c_761,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_742]) ).
cnf(c_762,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_742]) ).
cnf(c_763,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_742]) ).
cnf(c_766,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_742]) ).
cnf(c_767,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_742]) ).
cnf(c_768,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_742]) ).
cnf(c_769,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_742]) ).
cnf(c_770,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_77,c_742]) ).
cnf(c_775,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_742,c_742]) ).
cnf(c_833,plain,
( multiply(sk_c7,sk_c6) != X0
| sk_c5 != X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_835,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_330]) ).
cnf(c_836,plain,
( inverse(X0) != X1
| sk_c7 != X1
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_839,plain,
( inverse(X0) != X1
| sk_c6 != X1
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_841,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_846,plain,
( inverse(X0) != inverse(X0)
| sk_c6 != inverse(X0)
| inverse(X0) = sk_c6 ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_847,plain,
inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_850,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_852,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_853,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_854,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_852]) ).
cnf(c_859,plain,
( X0 != X1
| sk_c5 != X1
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_861,plain,
( inverse(X0) != X1
| sk_c6 != X1
| sk_c6 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_871,plain,
( sk_c7 != X0
| sk_c6 != X0
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_872,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_871]) ).
cnf(c_882,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_852]) ).
cnf(c_883,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_893,plain,
( inverse(sk_c7) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_49,c_330]) ).
cnf(c_897,plain,
( inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_330]) ).
cnf(c_898,plain,
( inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_330]) ).
cnf(c_899,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_330]) ).
cnf(c_900,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_330]) ).
cnf(c_902,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_67,c_330]) ).
cnf(c_903,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_330]) ).
cnf(c_904,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_330]) ).
cnf(c_906,plain,
( multiply(X0,multiply(X1,sk_c6)) != sk_c7
| inverse(multiply(X0,X1)) != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_77,c_330]) ).
cnf(c_985,plain,
( inverse(sk_c7) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_331]) ).
cnf(c_986,plain,
( inverse(sk_c7) != sk_c6
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_331]) ).
cnf(c_990,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_331]) ).
cnf(c_991,plain,
( inverse(sk_c2) != sk_c6
| ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_331]) ).
cnf(c_996,plain,
( inverse(inverse(sk_c6)) != sk_c6
| sk_c5 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_331]) ).
cnf(c_997,plain,
( multiply(X0,multiply(X1,sk_c6)) != sk_c5
| inverse(multiply(X0,X1)) != sk_c6
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_77,c_331]) ).
cnf(c_1059,plain,
( X0 != sk_c5
| sk_c5 != sk_c5
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_1060,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_1078,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_332]) ).
cnf(c_1106,plain,
( inverse(sk_c1) != sk_c7
| X0 != sk_c7
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_1107,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_1109,plain,
( inverse(sk_c1) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_852]) ).
cnf(c_1118,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(superposition,[status(thm)],[c_58,c_333]) ).
cnf(c_1119,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_56,c_333]) ).
cnf(c_1121,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_333]) ).
cnf(c_1122,plain,
( inverse(sk_c1) != sk_c7
| ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_55,c_333]) ).
cnf(c_1210,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c2) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_1211,plain,
( inverse(sk_c2) != sk_c6
| X0 != sk_c6
| inverse(sk_c2) = X0 ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_1214,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_1218,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1235,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c4) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_334]) ).
cnf(c_1274,plain,
( X0 != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_1375,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1462,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_769,c_775]) ).
cnf(c_1471,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1462,c_768]) ).
cnf(c_1529,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_775,c_76]) ).
cnf(c_1531,plain,
multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_775,c_77]) ).
cnf(c_1535,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_775,c_742]) ).
cnf(c_1536,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_775,c_1462]) ).
cnf(c_1537,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1536,c_1462]) ).
cnf(c_1560,plain,
inverse(inverse(sk_c6)) = sk_c6,
inference(instantiation,[status(thm)],[c_1537]) ).
cnf(c_1573,plain,
( inverse(sk_c1) != inverse(sk_c1)
| sk_c6 != inverse(sk_c1)
| inverse(sk_c1) = sk_c6 ),
inference(instantiation,[status(thm)],[c_846]) ).
cnf(c_1578,plain,
( inverse(sk_c1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_1585,plain,
( sk_c7 != inverse(sk_c1)
| sk_c6 != inverse(sk_c1)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_871]) ).
cnf(c_1587,plain,
( X0 != inverse(sk_c1)
| sk_c7 != inverse(sk_c1)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_1588,plain,
( inverse(X0) != inverse(sk_c1)
| sk_c7 != inverse(sk_c1)
| inverse(X0) = sk_c7 ),
inference(instantiation,[status(thm)],[c_836]) ).
cnf(c_1590,plain,
( sk_c7 != inverse(sk_c1)
| sk_c6 != inverse(sk_c1)
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_1587]) ).
cnf(c_1620,plain,
( multiply(sk_c6,sk_c7) != X0
| sk_c5 != X0
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1653,plain,
( inverse(sk_c1) != X0
| X1 != X0
| inverse(sk_c1) = X1 ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_1830,plain,
( multiply(identity,sk_c7) != sk_c7
| inverse(sk_c1) != sk_c7
| inverse(sk_c1) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1106]) ).
cnf(c_1876,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1529]) ).
cnf(c_1877,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1529]) ).
cnf(c_1878,plain,
( multiply(sk_c2,sk_c6) = identity
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_1529]) ).
cnf(c_1879,plain,
( multiply(sk_c2,sk_c6) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_1529]) ).
cnf(c_1885,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_1529,c_77]) ).
cnf(c_1914,plain,
( multiply(X0,X1) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1274]) ).
cnf(c_1915,plain,
( X0 != identity
| X1 != sk_c7
| multiply(X0,X1) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_1949,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_1059]) ).
cnf(c_1951,plain,
( multiply(identity,sk_c5) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_1059]) ).
cnf(c_1952,plain,
multiply(identity,sk_c5) = sk_c5,
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_1954,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_1994,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_1535]) ).
cnf(c_1995,plain,
( multiply(sk_c1,multiply(sk_c7,X0)) = X0
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_1535]) ).
cnf(c_2145,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1375,c_75]) ).
cnf(c_2171,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_2145]) ).
cnf(c_2172,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_2145]) ).
cnf(c_2178,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2145,c_2145]) ).
cnf(c_2266,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1876,c_57]) ).
cnf(c_2309,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_1059]) ).
cnf(c_2331,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1877,c_55]) ).
cnf(c_2419,plain,
( inverse(sk_c4) = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1878,c_67]) ).
cnf(c_2523,plain,
( inverse(sk_c3) = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_1879,c_65]) ).
cnf(c_2740,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_761]) ).
cnf(c_2791,plain,
( multiply(sk_c7,sk_c6) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(instantiation,[status(thm)],[c_833]) ).
cnf(c_2793,plain,
( X0 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_2804,plain,
( inverse(sk_c4) = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2740,c_52]) ).
cnf(c_2896,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_762]) ).
cnf(c_2926,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_2896,c_50]) ).
cnf(c_3033,plain,
( multiply(sk_c6,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_72,c_766]) ).
cnf(c_3111,plain,
( X0 != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c5 = X0 ),
inference(instantiation,[status(thm)],[c_859]) ).
cnf(c_3292,plain,
( multiply(sk_c3,multiply(sk_c6,inverse(sk_c7))) = identity
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_1885]) ).
cnf(c_3295,plain,
( multiply(sk_c4,multiply(sk_c5,inverse(sk_c6))) = identity
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_53,c_1885]) ).
cnf(c_3308,plain,
( multiply(sk_c2,multiply(sk_c6,inverse(sk_c5))) = identity
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_1885]) ).
cnf(c_3309,plain,
( multiply(sk_c2,multiply(sk_c6,inverse(sk_c5))) = identity
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_64,c_1885]) ).
cnf(c_3586,plain,
inverse(sk_c1) = inverse(sk_c1),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_3591,plain,
( inverse(sk_c2) != inverse(sk_c1)
| sk_c7 != inverse(sk_c1)
| inverse(sk_c2) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1588]) ).
cnf(c_3592,plain,
( inverse(sk_c1) != sk_c6
| inverse(sk_c2) != sk_c6
| inverse(sk_c2) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_1211]) ).
cnf(c_3718,plain,
( inverse(sk_c1) != multiply(identity,sk_c7)
| X0 != multiply(identity,sk_c7)
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_1653]) ).
cnf(c_3973,plain,
( multiply(sk_c6,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_70,c_767]) ).
cnf(c_3988,plain,
( multiply(identity,inverse(X0)) != X1
| sk_c6 != X1
| sk_c6 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_4307,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_760]) ).
cnf(c_4863,plain,
( X0 != identity
| X1 != inverse(X2)
| multiply(X0,X1) = multiply(identity,inverse(X2)) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_4894,plain,
( ~ sP0_iProver_split
| inverse(sk_c2) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_897,c_70,c_897]) ).
cnf(c_4900,plain,
( ~ sP0_iProver_split
| inverse(sk_c1) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_898,c_60,c_898]) ).
cnf(c_4906,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_904,c_1471]) ).
cnf(c_4913,plain,
( multiply(sk_c6,sk_c7) != multiply(identity,sk_c5)
| sk_c5 != multiply(identity,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1620]) ).
cnf(c_4920,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_985,c_996,c_1560,c_2419]) ).
cnf(c_4926,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_986,c_996,c_1560,c_2523]) ).
cnf(c_5383,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1529,c_770]) ).
cnf(c_5406,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_5383,c_1462]) ).
cnf(c_5979,plain,
( X0 != identity
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1915]) ).
cnf(c_5980,plain,
( sk_c7 != sk_c7
| sk_c6 != identity
| multiply(sk_c6,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_5979]) ).
cnf(c_6096,plain,
( multiply(sk_c7,sk_c6) != X0
| multiply(sk_c6,sk_c7) != X0
| multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_6098,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c7
| multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_6188,plain,
( sk_c7 != sk_c5
| sk_c6 != identity
| multiply(sk_c6,sk_c7) = multiply(identity,sk_c5) ),
inference(instantiation,[status(thm)],[c_337]) ).
cnf(c_6218,plain,
( multiply(sk_c7,sk_c6) != X0
| X1 != X0
| X1 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_6220,plain,
( multiply(X0,X1) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c5 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_3111]) ).
cnf(c_6336,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2172,c_2178]) ).
cnf(c_6345,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_6336,c_2171]) ).
cnf(c_7002,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1078,c_1471]) ).
cnf(c_7009,plain,
( ~ sP3_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1121,c_62,c_1121]) ).
cnf(c_7031,plain,
( ~ sP3_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1122,c_60,c_1122]) ).
cnf(c_7238,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_742,c_5406]) ).
cnf(c_7607,plain,
( multiply(identity,inverse(X0)) != inverse(sk_c2)
| sk_c6 != inverse(sk_c2)
| sk_c6 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_3988]) ).
cnf(c_7739,plain,
( multiply(X0,sk_c7) != multiply(identity,sk_c7)
| inverse(sk_c1) != multiply(identity,sk_c7)
| inverse(sk_c1) = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_3718]) ).
cnf(c_7745,plain,
( multiply(sk_c6,sk_c7) != multiply(identity,sk_c7)
| inverse(sk_c1) != multiply(identity,sk_c7)
| inverse(sk_c1) = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_7739]) ).
cnf(c_7747,plain,
( multiply(X0,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(X0,sk_c7) ),
inference(instantiation,[status(thm)],[c_1914]) ).
cnf(c_7748,plain,
( multiply(sk_c6,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_7747]) ).
cnf(c_7840,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_7955,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_52,c_1994]) ).
cnf(c_7997,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_7955,c_332]) ).
cnf(c_8013,plain,
( multiply(sk_c1,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_50,c_1995]) ).
cnf(c_8048,plain,
( inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_8013,c_332]) ).
cnf(c_8247,plain,
( X0 != identity
| sk_c6 != inverse(sk_c2)
| multiply(X0,sk_c6) = multiply(identity,inverse(sk_c2)) ),
inference(instantiation,[status(thm)],[c_4863]) ).
cnf(c_9003,plain,
( inverse(sk_c1) != sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_7997,c_72,c_62,c_853,c_902,c_1060,c_1109,c_1235,c_1951,c_1952,c_2266,c_2804,c_3591,c_3592,c_4913,c_4920,c_6188,c_7009,c_7997]) ).
cnf(c_9069,plain,
( inverse(sk_c1) != sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_8048,c_70,c_60,c_50,c_334,c_853,c_903,c_1060,c_1109,c_1951,c_1952,c_2331,c_2926,c_3591,c_3592,c_4913,c_4926,c_6188,c_7031,c_8048]) ).
cnf(c_9162,plain,
( ~ sP1_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_990,c_73,c_990]) ).
cnf(c_9168,plain,
( ~ sP1_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_991,c_71,c_991]) ).
cnf(c_9196,plain,
( ~ sP3_iProver_split
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_1118,c_63,c_1118]) ).
cnf(c_9202,plain,
( ~ sP3_iProver_split
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1119,c_61,c_1119]) ).
cnf(c_10335,plain,
( multiply(identity,inverse(sk_c2)) != inverse(sk_c2)
| sk_c6 != inverse(sk_c2)
| sk_c6 = multiply(identity,inverse(sk_c2)) ),
inference(instantiation,[status(thm)],[c_7607]) ).
cnf(c_10336,plain,
multiply(identity,inverse(sk_c2)) = inverse(sk_c2),
inference(instantiation,[status(thm)],[c_1214]) ).
cnf(c_10864,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_1620]) ).
cnf(c_10970,plain,
( multiply(sk_c6,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_336]) ).
cnf(c_11207,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5) ),
inference(superposition,[status(thm)],[c_49,c_633]) ).
cnf(c_11544,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c6,sk_c7) = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_6096]) ).
cnf(c_11651,plain,
( sk_c7 != identity
| sk_c6 != inverse(sk_c2)
| multiply(sk_c7,sk_c6) = multiply(identity,inverse(sk_c2)) ),
inference(instantiation,[status(thm)],[c_8247]) ).
cnf(c_11745,plain,
multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c7),
inference(instantiation,[status(thm)],[c_335]) ).
cnf(c_12025,plain,
( multiply(sk_c6,sk_c6) != sk_c6
| inverse(sk_c1) != sk_c6
| ~ sP2_iProver_split
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_11207,c_332]) ).
cnf(c_12100,plain,
( multiply(sk_c6,X0) = X0
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_634,c_1994]) ).
cnf(c_12386,plain,
( multiply(sk_c6,X0) = X0
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_635,c_1995]) ).
cnf(c_14419,plain,
( multiply(sk_c3,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = multiply(identity,X0)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_3292,c_77]) ).
cnf(c_14438,plain,
( multiply(sk_c3,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_14419,c_75]) ).
cnf(c_14467,plain,
( multiply(sk_c4,multiply(multiply(sk_c5,inverse(sk_c6)),X0)) = multiply(identity,X0)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_3295,c_77]) ).
cnf(c_14486,plain,
( multiply(sk_c4,multiply(multiply(sk_c5,inverse(sk_c6)),X0)) = X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_14467,c_75]) ).
cnf(c_15093,plain,
( inverse(sk_c1) != multiply(X0,sk_c7)
| X1 != multiply(X0,sk_c7)
| X1 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_1218]) ).
cnf(c_15097,plain,
( inverse(sk_c1) != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_15093]) ).
cnf(c_15542,plain,
( multiply(sk_c2,multiply(multiply(sk_c6,inverse(sk_c5)),X0)) = multiply(identity,X0)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_3309,c_77]) ).
cnf(c_15557,plain,
( multiply(sk_c2,multiply(multiply(sk_c6,inverse(sk_c5)),X0)) = X0
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_15542,c_75]) ).
cnf(c_16454,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2793]) ).
cnf(c_16933,plain,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_76]) ).
cnf(c_17085,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_330]) ).
cnf(c_17087,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17085,c_6345]) ).
cnf(c_17152,plain,
( inverse(identity) != sk_c6
| sk_c6 != sk_c5
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_331]) ).
cnf(c_17154,plain,
( sk_c6 != sk_c5
| sk_c6 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_17152,c_6345]) ).
cnf(c_17238,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_333]) ).
cnf(c_17321,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_17398,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_17321,c_75]) ).
cnf(c_17418,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_57,c_17398]) ).
cnf(c_17424,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_17398]) ).
cnf(c_17426,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_17398]) ).
cnf(c_17428,plain,
( multiply(inverse(sk_c7),identity) = sk_c1
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_16933,c_17398]) ).
cnf(c_17432,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17398,c_17398]) ).
cnf(c_17487,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_17426,c_17432]) ).
cnf(c_17502,plain,
( inverse(inverse(sk_c2)) != sk_c6
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_17424,c_332]) ).
cnf(c_17512,plain,
( inverse(sk_c7) = sk_c1
| inverse(sk_c3) = sk_c7 ),
inference(demodulation,[status(thm)],[c_17428,c_17487]) ).
cnf(c_17518,plain,
( multiply(sk_c7,sk_c3) = identity
| inverse(sk_c7) = sk_c1 ),
inference(superposition,[status(thm)],[c_17512,c_76]) ).
cnf(c_17684,plain,
( multiply(inverse(sk_c7),identity) = sk_c3
| inverse(sk_c7) = sk_c1 ),
inference(superposition,[status(thm)],[c_17518,c_17398]) ).
cnf(c_17725,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_17418]) ).
cnf(c_17781,plain,
( inverse(sk_c7) = sk_c3
| inverse(sk_c7) = sk_c1 ),
inference(demodulation,[status(thm)],[c_17684,c_17487]) ).
cnf(c_17787,plain,
( multiply(sk_c1,sk_c7) = identity
| inverse(sk_c7) = sk_c3 ),
inference(superposition,[status(thm)],[c_17781,c_76]) ).
cnf(c_17815,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c3
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_17787,c_58]) ).
cnf(c_17856,plain,
( multiply(inverse(sk_c7),sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_17725,c_17398]) ).
cnf(c_18465,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_17856,c_76]) ).
cnf(c_18473,plain,
( multiply(sk_c6,sk_c4) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_18465,c_76]) ).
cnf(c_18709,plain,
( multiply(inverse(sk_c6),identity) = sk_c4
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_18473,c_17398]) ).
cnf(c_19395,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != sk_c5
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_7840]) ).
cnf(c_20160,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6)
| sk_c5 != multiply(sk_c7,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_6220]) ).
cnf(c_20693,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,inverse(sk_c2))
| X0 != multiply(identity,inverse(sk_c2))
| X0 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_6218]) ).
cnf(c_20697,plain,
( multiply(sk_c7,sk_c6) != multiply(identity,inverse(sk_c2))
| sk_c6 != multiply(identity,inverse(sk_c2))
| sk_c6 = multiply(sk_c7,sk_c6) ),
inference(instantiation,[status(thm)],[c_20693]) ).
cnf(c_21882,plain,
( inverse(sk_c4) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_12100,c_3033]) ).
cnf(c_22106,plain,
inverse(sk_c4) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_21882,c_62,c_853,c_883,c_1060,c_1573,c_1830,c_1951,c_1952,c_2266,c_2804,c_3586,c_4913,c_5980,c_6188,c_7745,c_9003,c_15097,c_19395,c_21882]) ).
cnf(c_22180,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_22106,c_1535]) ).
cnf(c_22181,plain,
multiply(sk_c4,sk_c6) = identity,
inference(superposition,[status(thm)],[c_22106,c_1529]) ).
cnf(c_22182,plain,
inverse(sk_c6) = sk_c4,
inference(superposition,[status(thm)],[c_22106,c_1537]) ).
cnf(c_22183,plain,
multiply(sk_c6,multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_22106,c_742]) ).
cnf(c_22226,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_751,c_22182]) ).
cnf(c_22774,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4307,c_1060,c_1951,c_1952,c_2331,c_2926,c_4913,c_6188]) ).
cnf(c_24016,plain,
( inverse(sk_c6) = sk_c4
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_18709,c_17487]) ).
cnf(c_24022,plain,
( multiply(sk_c4,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_24016,c_76]) ).
cnf(c_24149,plain,
multiply(sk_c4,sk_c6) = identity,
inference(global_subsumption_just,[status(thm)],[c_24022,c_22181]) ).
cnf(c_24153,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_24149,c_77]) ).
cnf(c_24158,plain,
multiply(sk_c4,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_24153,c_75]) ).
cnf(c_24235,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6)
| X0 != multiply(sk_c7,sk_c6)
| X0 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_10970]) ).
cnf(c_24236,plain,
( multiply(sk_c6,sk_c7) != multiply(sk_c7,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c6)
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(instantiation,[status(thm)],[c_24235]) ).
cnf(c_24908,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_24158]) ).
cnf(c_24967,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_24908,c_73]) ).
cnf(c_25110,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_12386,c_3973]) ).
cnf(c_25279,plain,
inverse(sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_25110,c_60,c_853,c_883,c_1573,c_1830,c_2331,c_3586,c_5980,c_7745,c_9069,c_15097,c_19395,c_22774,c_25110]) ).
cnf(c_25321,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_754,c_25279]) ).
cnf(c_25342,plain,
multiply(sk_c3,multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_25279,c_1535]) ).
cnf(c_25343,plain,
multiply(sk_c3,sk_c7) = identity,
inference(superposition,[status(thm)],[c_25279,c_1529]) ).
cnf(c_25344,plain,
inverse(sk_c7) = sk_c3,
inference(superposition,[status(thm)],[c_25279,c_1537]) ).
cnf(c_25345,plain,
multiply(sk_c7,multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_25279,c_742]) ).
cnf(c_26129,plain,
( inverse(sk_c1) = sk_c7
| inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_22226,c_73]) ).
cnf(c_26130,plain,
( inverse(sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_22226,c_63]) ).
cnf(c_26159,plain,
( multiply(sk_c1,sk_c7) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26130,c_1529]) ).
cnf(c_26160,plain,
( inverse(sk_c7) = sk_c1
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26130,c_1537]) ).
cnf(c_26162,plain,
( multiply(sk_c7,sk_c1) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26130,c_76]) ).
cnf(c_26163,plain,
( sk_c7 = sk_c6
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_26160,c_25344]) ).
cnf(c_26214,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26163,c_54]) ).
cnf(c_26218,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_26214,c_25343]) ).
cnf(c_26271,plain,
( inverse(sk_c2) = sk_c6
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_26129,c_24967]) ).
cnf(c_26281,plain,
( multiply(sk_c2,sk_c6) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26271,c_1529]) ).
cnf(c_26338,plain,
( multiply(inverse(sk_c1),inverse(sk_c7)) = inverse(identity)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26162,c_7238]) ).
cnf(c_26342,plain,
( multiply(inverse(sk_c1),sk_c3) = identity
| sk_c7 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_26338,c_1471,c_25344]) ).
cnf(c_26801,plain,
( sk_c7 != sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_893,c_49,c_341,c_872,c_1060,c_1949,c_1951,c_1952,c_4913,c_6098,c_6188,c_10864,c_11745,c_20160,c_26218]) ).
cnf(c_26807,plain,
( ~ sP0_iProver_split
| sk_c7 != sk_c5
| inverse(sk_c2) != sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_899,c_60,c_835,c_853,c_883,c_900,c_1573,c_1830,c_2331,c_3586,c_5980,c_7745,c_9069,c_15097,c_19395,c_22774,c_25110]) ).
cnf(c_26808,plain,
( inverse(sk_c2) != sk_c7
| sk_c7 != sk_c5
| ~ sP0_iProver_split ),
inference(renaming,[status(thm)],[c_26807]) ).
cnf(c_26832,plain,
( multiply(inverse(X0),inverse(X1)) != sk_c7
| multiply(X1,multiply(X0,sk_c6)) != sk_c7
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_906,c_7238]) ).
cnf(c_26839,plain,
( multiply(X0,multiply(inverse(X0),sk_c6)) != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_26832]) ).
cnf(c_26953,plain,
( multiply(inverse(X0),inverse(X1)) != sk_c6
| multiply(X1,multiply(X0,sk_c6)) != sk_c5
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_997,c_7238]) ).
cnf(c_26960,plain,
( multiply(X0,multiply(inverse(X0),sk_c6)) != sk_c5
| sk_c6 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_26953]) ).
cnf(c_27521,plain,
( multiply(inverse(sk_c1),multiply(sk_c3,X0)) = multiply(identity,X0)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26342,c_77]) ).
cnf(c_27532,plain,
( multiply(inverse(sk_c1),multiply(sk_c3,X0)) = X0
| sk_c7 = sk_c6 ),
inference(light_normalisation,[status(thm)],[c_27521,c_75]) ).
cnf(c_28275,plain,
inverse(sk_c3) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_17502,c_60,c_853,c_883,c_1573,c_1830,c_2331,c_3586,c_5980,c_7745,c_9069,c_15097,c_19395,c_22774,c_25110]) ).
cnf(c_28605,plain,
( X0 != sk_c7
| sk_c5 != sk_c7
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1954]) ).
cnf(c_28608,plain,
( sk_c6 != sk_c7
| sk_c5 != sk_c7
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_28605]) ).
cnf(c_29059,plain,
inverse(sk_c7) = sk_c3,
inference(global_subsumption_just,[status(thm)],[c_17815,c_25344]) ).
cnf(c_29062,plain,
( inverse(sk_c3) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_17238,c_29059]) ).
cnf(c_29076,plain,
( sk_c6 != identity
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_29062,c_28275]) ).
cnf(c_30502,plain,
( inverse(sk_c1) != sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_12025,c_59,c_49,c_341,c_853,c_1060,c_1109,c_1578,c_1585,c_1590,c_1949,c_6098,c_10864,c_11745,c_20160]) ).
cnf(c_31318,plain,
( multiply(sk_c3,multiply(multiply(sk_c6,sk_c3),X0)) = X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_14438,c_25344]) ).
cnf(c_31319,plain,
( multiply(sk_c3,multiply(sk_c6,multiply(sk_c3,X0))) = X0
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(demodulation,[status(thm)],[c_31318,c_1531,c_1537]) ).
cnf(c_31329,plain,
( multiply(sk_c3,multiply(sk_c6,sk_c7)) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_51,c_31319]) ).
cnf(c_31418,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(superposition,[status(thm)],[c_31329,c_25345]) ).
cnf(c_31446,plain,
multiply(sk_c7,sk_c6) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_14486,c_49,c_1060,c_2309,c_2791,c_31418]) ).
cnf(c_31464,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_334,c_31446]) ).
cnf(c_31465,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_31464]) ).
cnf(c_31472,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_31446,c_77]) ).
cnf(c_31476,plain,
multiply(sk_c3,sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_31446,c_25342]) ).
cnf(c_31487,plain,
multiply(inverse(sk_c6),inverse(sk_c7)) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_31446,c_7238]) ).
cnf(c_31492,plain,
multiply(sk_c4,sk_c3) = inverse(sk_c5),
inference(light_normalisation,[status(thm)],[c_31487,c_22182,c_25344]) ).
cnf(c_31538,plain,
multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_31472,c_25342]) ).
cnf(c_31641,plain,
( inverse(sk_c3) != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_31476,c_332]) ).
cnf(c_31646,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_31476,c_27532]) ).
cnf(c_31650,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_31641,c_25279]) ).
cnf(c_31666,plain,
multiply(sk_c6,inverse(sk_c5)) = sk_c3,
inference(superposition,[status(thm)],[c_31492,c_22183]) ).
cnf(c_31679,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = identity ),
inference(demodulation,[status(thm)],[c_3308,c_31666]) ).
cnf(c_33421,plain,
( multiply(sk_c2,multiply(sk_c3,X0)) = X0
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_15557,c_31666]) ).
cnf(c_33428,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(superposition,[status(thm)],[c_71,c_33421]) ).
cnf(c_33510,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_31646,c_760]) ).
cnf(c_33675,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_33428,c_59,c_341,c_872,c_1107,c_26801,c_30502,c_33510]) ).
cnf(c_33679,plain,
( sk_c5 != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_31465,c_33675]) ).
cnf(c_33694,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_33679]) ).
cnf(c_33709,plain,
multiply(sk_c4,sk_c5) = sk_c7,
inference(superposition,[status(thm)],[c_33675,c_22180]) ).
cnf(c_33753,plain,
( ~ sP3_iProver_split
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_9196,c_33709]) ).
cnf(c_33754,plain,
( ~ sP1_iProver_split
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_9162,c_33709]) ).
cnf(c_33755,plain,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_763,c_33709]) ).
cnf(c_33756,plain,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_758,c_33709]) ).
cnf(c_33757,plain,
( multiply(sk_c2,sk_c6) = sk_c5
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_68,c_33709]) ).
cnf(c_33758,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_33709]) ).
cnf(c_33810,plain,
( sk_c7 = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_33757,c_26281]) ).
cnf(c_33832,plain,
( sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33758,c_26159]) ).
cnf(c_33848,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_33709,c_77]) ).
cnf(c_33856,plain,
multiply(inverse(sk_c5),inverse(sk_c4)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_33709,c_7238]) ).
cnf(c_33858,plain,
multiply(inverse(sk_c5),sk_c6) = sk_c3,
inference(light_normalisation,[status(thm)],[c_33856,c_22106,c_25344]) ).
cnf(c_33863,plain,
( multiply(sk_c7,X0) = multiply(sk_c6,X0)
| inverse(sk_c1) = sk_c7 ),
inference(demodulation,[status(thm)],[c_630,c_33848]) ).
cnf(c_34019,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[status(thm)],[c_33863,c_25321]) ).
cnf(c_34027,plain,
( inverse(sk_c1) = sk_c7
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_34019,c_33675]) ).
cnf(c_34177,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_33694,c_9202]) ).
cnf(c_34189,plain,
( sk_c7 = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_33694,c_33753]) ).
cnf(c_34273,plain,
( sk_c6 != identity
| ~ sP2_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_33810,c_7002]) ).
cnf(c_34340,plain,
( ~ sP2_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33832,c_31650]) ).
cnf(c_34357,plain,
( sk_c7 != identity
| ~ sP0_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33832,c_4906]) ).
cnf(c_34358,plain,
( multiply(X0,sk_c6) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_33832,c_333]) ).
cnf(c_34427,plain,
( ~ sP3_iProver_split
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_34358,c_29076,c_34358]) ).
cnf(c_34428,plain,
( multiply(X0,sk_c6) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_split ),
inference(renaming,[status(thm)],[c_34427]) ).
cnf(c_34492,plain,
( inverse(sk_c7) = sk_c1
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34027,c_1537]) ).
cnf(c_34499,plain,
( sk_c6 = sk_c5
| sk_c3 = sk_c1 ),
inference(light_normalisation,[status(thm)],[c_34492,c_25344]) ).
cnf(c_34651,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_34177,c_49,c_334,c_1060,c_2309,c_2791,c_9168,c_9202,c_31418,c_31650,c_33675,c_34273,c_34340]) ).
cnf(c_34885,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_34340,c_31650,c_34273,c_34340]) ).
cnf(c_34887,plain,
( sP0_iProver_split
| sP1_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_33694,c_34885]) ).
cnf(c_34897,plain,
( sk_c7 = sk_c6
| sP0_iProver_split
| sP1_iProver_split ),
inference(superposition,[status(thm)],[c_34887,c_33753]) ).
cnf(c_34902,plain,
( sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_34897,c_31650,c_33754,c_34189,c_34273,c_34340]) ).
cnf(c_34903,plain,
( sk_c7 = sk_c6
| sP0_iProver_split ),
inference(renaming,[status(thm)],[c_34902]) ).
cnf(c_34919,plain,
multiply(sk_c5,sk_c3) = sk_c6,
inference(superposition,[status(thm)],[c_33858,c_1535]) ).
cnf(c_34941,plain,
( multiply(sk_c6,sk_c5) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_26271,c_33755]) ).
cnf(c_35012,plain,
( sk_c7 = sk_c6
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_33756,c_31646]) ).
cnf(c_35801,plain,
multiply(sk_c6,sk_c3) = multiply(sk_c3,sk_c6),
inference(superposition,[status(thm)],[c_34919,c_31538]) ).
cnf(c_35814,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_34651,c_35801]) ).
cnf(c_35828,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(demodulation,[status(thm)],[c_56,c_35801]) ).
cnf(c_35984,plain,
( sk_c7 != identity
| ~ sP0_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_26839,c_59,c_49,c_341,c_854,c_853,c_872,c_883,c_1060,c_1107,c_1109,c_1210,c_1585,c_1830,c_2309,c_2791,c_4894,c_4900,c_5980,c_7745,c_10335,c_10336,c_11544,c_11651,c_15097,c_17087,c_20697,c_24236,c_26801,c_30502,c_31418,c_33510,c_34357]) ).
cnf(c_35991,plain,
( sk_c6 != identity
| ~ sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_26960,c_59,c_341,c_853,c_872,c_882,c_883,c_1060,c_1107,c_2309,c_5980,c_7748,c_16454,c_17154,c_26801,c_28608,c_30502,c_33510,c_33754]) ).
cnf(c_36347,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c6
| sk_c6 = sk_c5 ),
inference(superposition,[status(thm)],[c_34499,c_35828]) ).
cnf(c_36380,plain,
( multiply(sk_c6,sk_c3) = sk_c7
| sk_c6 = sk_c5
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_36347,c_25343]) ).
cnf(c_36468,plain,
( multiply(sk_c6,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_35012,c_34941]) ).
cnf(c_36472,plain,
( sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_35012,c_33810]) ).
cnf(c_36491,plain,
( sk_c7 = sk_c6
| sk_c6 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_36468,c_33675]) ).
cnf(c_36520,plain,
( multiply(sk_c6,sk_c3) != sk_c6
| inverse(sk_c3) != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_35801,c_34428]) ).
cnf(c_36522,plain,
( multiply(sk_c6,sk_c3) != sk_c7
| inverse(sk_c3) != sk_c7
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_35801,c_330]) ).
cnf(c_36544,plain,
( multiply(sk_c6,sk_c3) != sk_c7
| ~ sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_36522,c_25279]) ).
cnf(c_36551,plain,
( multiply(sk_c6,sk_c3) != sk_c6
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_36520,c_25279]) ).
cnf(c_36617,plain,
sk_c7 = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_36491,c_34903,c_35984,c_36472]) ).
cnf(c_36621,plain,
( multiply(sk_c6,sk_c3) = sk_c6
| sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_35814,c_36617]) ).
cnf(c_36622,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_35984,c_36617]) ).
cnf(c_36683,plain,
( inverse(sk_c2) != sk_c6
| sk_c6 != sk_c5
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_26808,c_36617]) ).
cnf(c_36697,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm)],[c_25343,c_36617]) ).
cnf(c_36707,plain,
( multiply(X0,sk_c6) != sk_c6
| inverse(X0) != sk_c6
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_333,c_36617]) ).
cnf(c_36708,plain,
( multiply(X0,sk_c6) != sk_c6
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(demodulation,[status(thm)],[c_330,c_36617]) ).
cnf(c_36710,plain,
multiply(sk_c6,sk_c3) = identity,
inference(light_normalisation,[status(thm)],[c_36697,c_35801]) ).
cnf(c_36801,plain,
multiply(sk_c3,sk_c6) = identity,
inference(demodulation,[status(thm)],[c_35801,c_36710]) ).
cnf(c_36843,plain,
~ sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_36707,c_4894,c_36380,c_36551,c_36544,c_36622,c_36621,c_36683]) ).
cnf(c_36845,plain,
( sP0_iProver_split
| sP1_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_34887,c_36843]) ).
cnf(c_36851,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_36708,c_4894,c_36380,c_36544,c_36622,c_36683]) ).
cnf(c_36853,plain,
sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_36845,c_59,c_49,c_341,c_334,c_872,c_1060,c_1107,c_2309,c_2791,c_4894,c_26801,c_30502,c_31418,c_31650,c_33510,c_34273,c_34340,c_36380,c_36551,c_36544,c_36622,c_36621,c_36683]) ).
cnf(c_36856,plain,
sk_c6 != identity,
inference(backward_subsumption_resolution,[status(thm)],[c_35991,c_36853]) ).
cnf(c_36944,plain,
multiply(sk_c3,sk_c6) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_31679,c_34651,c_36851]) ).
cnf(c_36946,plain,
sk_c6 = identity,
inference(light_normalisation,[status(thm)],[c_36944,c_36617,c_36801]) ).
cnf(c_36947,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_36946,c_36856]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Aug 28 21:48:16 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.94/1.51 % SZS status Started for theBenchmark.p
% 7.94/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.51
% 7.94/1.51 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.94/1.51
% 7.94/1.51 ------ iProver source info
% 7.94/1.51
% 7.94/1.51 git: date: 2023-05-31 18:12:56 +0000
% 7.94/1.51 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.94/1.51 git: non_committed_changes: false
% 7.94/1.51 git: last_make_outside_of_git: false
% 7.94/1.51
% 7.94/1.51 ------ Parsing...successful
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.94/1.51
% 7.94/1.51 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.94/1.51
% 7.94/1.51 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.94/1.51 ------ Proving...
% 7.94/1.51 ------ Problem Properties
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51 clauses 33
% 7.94/1.51 conjectures 30
% 7.94/1.51 EPR 0
% 7.94/1.51 Horn 7
% 7.94/1.51 unary 3
% 7.94/1.51 binary 25
% 7.94/1.51 lits 71
% 7.94/1.51 lits eq 63
% 7.94/1.51 fd_pure 0
% 7.94/1.51 fd_pseudo 0
% 7.94/1.51 fd_cond 0
% 7.94/1.51 fd_pseudo_cond 0
% 7.94/1.51 AC symbols 0
% 7.94/1.51
% 7.94/1.51 ------ Schedule dynamic 5 is on
% 7.94/1.51
% 7.94/1.51 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51 ------
% 7.94/1.51 Current options:
% 7.94/1.51 ------
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51 ------ Proving...
% 7.94/1.51
% 7.94/1.51
% 7.94/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 7.94/1.51
% 7.94/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.94/1.52
% 7.94/1.52
%------------------------------------------------------------------------------