TSTP Solution File: GRP341-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 00:59:25 EDT 2023

% Result   : Unsatisfiable 7.86s 1.64s
% Output   : CNFRefutation 7.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  304 (  45 unt; 114 nHn; 276 RR)
%            Number of literals    :  727 ( 676 equ; 316 neg)
%            Maximal clause size   :   12 (   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   :  156 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c3,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c4,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_82,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c7) != sk_c6
    | multiply(X3,sk_c6) != sk_c5
    | multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c5,sk_c6) != sk_c7
    | multiply(sk_c5,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6
    | inverse(sk_c5) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_86,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_87,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_428,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_84]) ).

cnf(c_429,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_84]) ).

cnf(c_430,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_84]) ).

cnf(c_431,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_84]) ).

cnf(c_432,negated_conjecture,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c5,sk_c6) != sk_c7
    | multiply(sk_c5,sk_c7) != sk_c6
    | inverse(sk_c5) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_84]) ).

cnf(c_433,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_434,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_435,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_439,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_858,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_86,c_87]) ).

cnf(c_980,plain,
    ( multiply(sk_c6,sk_c7) != X0
    | sk_c5 != X0
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_982,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_980]) ).

cnf(c_983,plain,
    multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c7),
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_984,plain,
    ( multiply(sk_c6,sk_c7) != X0
    | X1 != X0
    | multiply(sk_c6,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_986,plain,
    ( sk_c6 != X0
    | sk_c7 != X1
    | multiply(sk_c6,sk_c7) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_435]) ).

cnf(c_989,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_858,c_85]) ).

cnf(c_998,plain,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_50,c_989]) ).

cnf(c_1018,plain,
    ( multiply(inverse(sk_c1),sk_c7) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_65,c_989]) ).

cnf(c_1025,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_85,c_989]) ).

cnf(c_1026,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_86,c_989]) ).

cnf(c_1034,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_989,c_989]) ).

cnf(c_1112,plain,
    ( multiply(sk_c6,sk_c7) != X0
    | sk_c5 != X0
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1120,plain,
    ( multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
    | X0 != multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_984]) ).

cnf(c_1122,plain,
    ( multiply(X0,X1) != X2
    | sk_c5 != X2
    | sk_c5 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1124,plain,
    ( sk_c6 != X0
    | sk_c7 != sk_c7
    | multiply(sk_c6,sk_c7) = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_986]) ).

cnf(c_1125,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_1126,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1128,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1112]) ).

cnf(c_1129,plain,
    sk_c5 = sk_c5,
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_1130,plain,
    ( X0 != X1
    | sk_c5 != X1
    | sk_c5 = X0 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1134,plain,
    ( multiply(sk_c6,sk_c7) != X0
    | X1 != X0
    | X1 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1136,plain,
    ( multiply(X0,X1) != multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_1120]) ).

cnf(c_1137,plain,
    ( X0 != sk_c6
    | X1 != sk_c7
    | multiply(X0,X1) = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_435]) ).

cnf(c_1138,plain,
    ( multiply(sk_c6,sk_c6) != multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c7) = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1136]) ).

cnf(c_1139,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != sk_c7
    | multiply(sk_c6,sk_c6) = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1137]) ).

cnf(c_1141,plain,
    ( multiply(sk_c6,sk_c7) != multiply(X0,sk_c7)
    | X1 != multiply(X0,sk_c7)
    | multiply(sk_c6,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_984]) ).

cnf(c_1147,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_1126]) ).

cnf(c_1148,plain,
    ( sk_c6 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1147]) ).

cnf(c_1155,plain,
    ( multiply(X0,sk_c7) != X1
    | X2 != X1
    | X2 = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1156,plain,
    ( multiply(X0,X1) != multiply(X2,sk_c7)
    | multiply(sk_c6,sk_c7) != multiply(X2,sk_c7)
    | multiply(sk_c6,sk_c7) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_1141]) ).

cnf(c_1157,plain,
    ( X0 != X1
    | X2 != sk_c7
    | multiply(X0,X2) = multiply(X1,sk_c7) ),
    inference(instantiation,[status(thm)],[c_435]) ).

cnf(c_1162,plain,
    ( multiply(X0,X1) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_1122]) ).

cnf(c_1163,plain,
    ( multiply(sk_c6,sk_c6) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1162]) ).

cnf(c_1172,plain,
    multiply(identity,sk_c7) = sk_c7,
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_1174,plain,
    ( X0 != X1
    | sk_c7 != X1
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1175,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != sk_c6
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1174]) ).

cnf(c_1182,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_1026,c_1034]) ).

cnf(c_1190,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1182,c_1025]) ).

cnf(c_1207,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_1034,c_86]) ).

cnf(c_1209,plain,
    multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
    inference(superposition,[status(thm)],[c_1034,c_87]) ).

cnf(c_1210,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_1034,c_989]) ).

cnf(c_1211,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1034,c_1182]) ).

cnf(c_1212,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1211,c_1182]) ).

cnf(c_1248,plain,
    ( multiply(sk_c6,sk_c7) != multiply(X0,sk_c7)
    | X1 != multiply(X0,sk_c7)
    | X1 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1134]) ).

cnf(c_1272,plain,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_58,c_1212]) ).

cnf(c_1273,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_1212]) ).

cnf(c_1306,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_63,c_428]) ).

cnf(c_1307,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_70,c_428]) ).

cnf(c_1308,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_56,c_428]) ).

cnf(c_1314,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c6 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_86,c_428]) ).

cnf(c_1332,plain,
    ( sk_c6 != identity
    | ~ sP0_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1314,c_1212]) ).

cnf(c_1394,plain,
    ( inverse(identity) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_85,c_429]) ).

cnf(c_1397,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != identity
    | ~ sP1_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1394,c_1190]) ).

cnf(c_1446,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_430]) ).

cnf(c_1447,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(superposition,[status(thm)],[c_52,c_430]) ).

cnf(c_1448,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_73,c_430]) ).

cnf(c_1449,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_59,c_430]) ).

cnf(c_1453,plain,
    ( inverse(sk_c1) != sk_c6
    | sk_c7 != sk_c5
    | ~ sP2_iProver_split
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_69,c_430]) ).

cnf(c_1458,plain,
    ( inverse(identity) != sk_c6
    | sk_c6 != sk_c5
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_85,c_430]) ).

cnf(c_1459,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c5 != identity
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_86,c_430]) ).

cnf(c_1461,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1458,c_1190]) ).

cnf(c_1471,plain,
    ( sk_c5 != identity
    | ~ sP2_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1459,c_1212]) ).

cnf(c_1597,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | X0 != sk_c6
    | X0 = multiply(sk_c5,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

cnf(c_1601,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | X0 != identity
    | X0 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

cnf(c_1602,plain,
    multiply(inverse(sk_c7),sk_c7) = identity,
    inference(instantiation,[status(thm)],[c_86]) ).

cnf(c_1603,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | sk_c6 != identity
    | sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1601]) ).

cnf(c_1609,plain,
    ( multiply(X0,sk_c7) != X1
    | X2 != X1
    | multiply(X0,sk_c7) = X2 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_1610,plain,
    ( multiply(X0,sk_c7) != multiply(X1,X2)
    | X3 != multiply(X1,X2)
    | X3 = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

cnf(c_1617,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | X0 != sk_c7
    | X0 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

cnf(c_1618,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | sk_c6 != sk_c7
    | sk_c6 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1617]) ).

cnf(c_1632,plain,
    ( inverse(sk_c5) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_76,c_431]) ).

cnf(c_1633,plain,
    ( inverse(sk_c5) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_431]) ).

cnf(c_1638,plain,
    ( inverse(sk_c1) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_64,c_431]) ).

cnf(c_1715,plain,
    ( X0 != X1
    | sk_c7 != sk_c7
    | multiply(X0,sk_c7) = multiply(X1,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1157]) ).

cnf(c_2068,plain,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_1207]) ).

cnf(c_2069,plain,
    ( multiply(sk_c3,sk_c7) = identity
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_57,c_1207]) ).

cnf(c_2070,plain,
    ( multiply(sk_c4,sk_c6) = identity
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_74,c_1207]) ).

cnf(c_2071,plain,
    ( multiply(sk_c4,sk_c6) = identity
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_1207]) ).

cnf(c_2082,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_1207,c_87]) ).

cnf(c_2109,plain,
    ( X0 != X1
    | sk_c5 != X1
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_2194,plain,
    ( multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_1210]) ).

cnf(c_2244,plain,
    ( multiply(sk_c5,sk_c6) = identity
    | inverse(sk_c7) = sk_c1 ),
    inference(superposition,[status(thm)],[c_1272,c_1207]) ).

cnf(c_2260,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | sk_c5 != sk_c6
    | sk_c5 = multiply(sk_c5,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1597]) ).

cnf(c_2261,plain,
    ( multiply(sk_c6,sk_c7) != multiply(sk_c5,sk_c7)
    | sk_c5 != multiply(sk_c5,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1112]) ).

cnf(c_2291,plain,
    ( multiply(sk_c5,sk_c6) = identity
    | inverse(sk_c6) = sk_c2 ),
    inference(superposition,[status(thm)],[c_1273,c_1207]) ).

cnf(c_2318,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_2068,c_70]) ).

cnf(c_2367,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_2069,c_56]) ).

cnf(c_2425,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c5 = identity ),
    inference(superposition,[status(thm)],[c_2070,c_73]) ).

cnf(c_2480,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c5 = identity ),
    inference(superposition,[status(thm)],[c_2071,c_59]) ).

cnf(c_2497,plain,
    ( multiply(sk_c5,sk_c6) != X0
    | X1 != X0
    | X1 = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_2586,plain,
    multiply(sk_c5,sk_c6) = multiply(sk_c5,sk_c6),
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_3079,plain,
    ( X0 != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c5 = X0 ),
    inference(instantiation,[status(thm)],[c_1130]) ).

cnf(c_3080,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c5 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3079]) ).

cnf(c_3309,plain,
    identity = identity,
    inference(instantiation,[status(thm)],[c_433]) ).

cnf(c_3311,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_3370,plain,
    ( X0 != identity
    | sk_c7 != sk_c7
    | multiply(X0,sk_c7) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1715]) ).

cnf(c_3372,plain,
    ( sk_c6 != identity
    | sk_c7 != sk_c7
    | multiply(sk_c6,sk_c7) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_3370]) ).

cnf(c_3498,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | sk_c5 != identity
    | sk_c5 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1601]) ).

cnf(c_3505,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | sk_c7 != identity
    | sk_c7 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1601]) ).

cnf(c_3506,plain,
    ( X0 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 != multiply(inverse(sk_c7),sk_c7)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1174]) ).

cnf(c_3507,plain,
    ( X0 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_1126]) ).

cnf(c_3510,plain,
    ( sk_c6 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3507]) ).

cnf(c_3511,plain,
    ( sk_c6 != multiply(inverse(sk_c7),sk_c7)
    | sk_c7 != multiply(inverse(sk_c7),sk_c7)
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_3506]) ).

cnf(c_3578,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | multiply(identity,sk_c7) != sk_c7
    | multiply(sk_c1,sk_c6) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1617]) ).

cnf(c_3620,plain,
    ( multiply(sk_c1,multiply(sk_c6,inverse(sk_c7))) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_67,c_2082]) ).

cnf(c_3621,plain,
    ( multiply(sk_c1,multiply(sk_c6,inverse(sk_c7))) = identity
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_65,c_2082]) ).

cnf(c_3978,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | X0 != identity
    | multiply(inverse(sk_c7),sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1609]) ).

cnf(c_4004,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | X3 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_4005,plain,
    ( multiply(sk_c6,sk_c6) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_4004]) ).

cnf(c_4006,plain,
    ( multiply(X0,X1) != multiply(X2,X3)
    | multiply(X4,sk_c7) != multiply(X2,X3)
    | multiply(X0,X1) = multiply(X4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1610]) ).

cnf(c_4008,plain,
    ( multiply(X0,sk_c7) != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1610]) ).

cnf(c_4073,plain,
    ( X0 != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_2109]) ).

cnf(c_4074,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c6 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_4073]) ).

cnf(c_4140,plain,
    ( multiply(sk_c6,sk_c7) != multiply(identity,sk_c7)
    | multiply(sk_c1,sk_c6) != multiply(identity,sk_c7)
    | multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1156]) ).

cnf(c_4490,plain,
    ( multiply(sk_c7,sk_c7) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_58,c_1018]) ).

cnf(c_4548,plain,
    ( sk_c6 != sk_c5
    | sk_c7 != sk_c7
    | multiply(sk_c6,sk_c7) = multiply(sk_c5,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1124]) ).

cnf(c_5131,plain,
    ( multiply(sk_c5,sk_c6) != X0
    | X1 != X0
    | multiply(sk_c5,sk_c6) = X1 ),
    inference(instantiation,[status(thm)],[c_434]) ).

cnf(c_5132,plain,
    ( multiply(sk_c5,sk_c6) != multiply(X0,X1)
    | X2 != multiply(X0,X1)
    | X2 = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_2497]) ).

cnf(c_5381,plain,
    ( X0 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 != multiply(inverse(sk_c7),sk_c7)
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_2109]) ).

cnf(c_5382,plain,
    ( X0 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 = X0 ),
    inference(instantiation,[status(thm)],[c_1130]) ).

cnf(c_5383,plain,
    ( sk_c6 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_5382]) ).

cnf(c_5384,plain,
    ( sk_c6 != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 != multiply(inverse(sk_c7),sk_c7)
    | sk_c6 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_5381]) ).

cnf(c_5487,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | identity != identity
    | identity = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1601]) ).

cnf(c_5588,plain,
    ( multiply(sk_c6,sk_c7) != multiply(X0,X1)
    | sk_c5 != multiply(X0,X1)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1112]) ).

cnf(c_5589,plain,
    ( multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c6)
    | sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c5 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_5588]) ).

cnf(c_6258,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_1307,c_1332,c_2318]) ).

cnf(c_8121,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | sk_c7 != identity
    | multiply(inverse(sk_c7),sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_3978]) ).

cnf(c_8129,plain,
    ( multiply(inverse(sk_c7),sk_c7) != X0
    | X1 != X0
    | X1 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

cnf(c_8422,plain,
    ( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c6,sk_c7)
    | sk_c5 != multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_4008]) ).

cnf(c_8557,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | X0 != sk_c7
    | X0 = multiply(sk_c1,sk_c6) ),
    inference(instantiation,[status(thm)],[c_4004]) ).

cnf(c_8558,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | sk_c6 != sk_c7
    | sk_c6 = multiply(sk_c1,sk_c6) ),
    inference(instantiation,[status(thm)],[c_8557]) ).

cnf(c_9112,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | multiply(X0,X1) != identity
    | multiply(inverse(sk_c7),sk_c7) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_3978]) ).

cnf(c_9114,plain,
    ( multiply(inverse(sk_c7),sk_c7) != identity
    | multiply(sk_c6,sk_c6) != identity
    | multiply(inverse(sk_c7),sk_c7) = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_9112]) ).

cnf(c_9495,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_1448,c_1471,c_2425]) ).

cnf(c_9526,plain,
    ( inverse(sk_c5) != sk_c7
    | inverse(sk_c2) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_1632,c_72,c_76,c_75,c_432,c_982,c_983,c_1125,c_1397,c_1603,c_1602,c_1632,c_2260,c_2261,c_2318,c_2425,c_3498,c_4548,c_5383,c_5384,c_6258,c_9495]) ).

cnf(c_9532,plain,
    ( sk_c6 != sk_c7
    | inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_1273,c_9526]) ).

cnf(c_9540,plain,
    ( inverse(sk_c5) != sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_1633,c_60,c_58,c_57,c_62,c_61,c_432,c_982,c_983,c_1125,c_1308,c_1397,c_1449,c_1603,c_1602,c_1633,c_2260,c_2261,c_2367,c_2480,c_3498,c_4548,c_5383,c_5384]) ).

cnf(c_9547,plain,
    ( sk_c6 != sk_c7
    | inverse(sk_c7) = sk_c1
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1272,c_9540]) ).

cnf(c_9794,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_1638,c_57,c_1638]) ).

cnf(c_10082,plain,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_51,c_2194]) ).

cnf(c_10314,plain,
    ( inverse(sk_c5) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_10082,c_79]) ).

cnf(c_10392,plain,
    ( multiply(sk_c5,sk_c6) = identity
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_10314,c_1207]) ).

cnf(c_10708,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_10392,c_55]) ).

cnf(c_10709,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_10392,c_76]) ).

cnf(c_10710,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_10392,c_62]) ).

cnf(c_10756,plain,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c1) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2244,c_62]) ).

cnf(c_10833,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2291,c_76]) ).

cnf(c_12619,plain,
    ( multiply(X0,sk_c7) != multiply(sk_c1,sk_c6)
    | X1 != multiply(sk_c1,sk_c6)
    | X1 = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1610]) ).

cnf(c_12620,plain,
    ( multiply(sk_c6,sk_c7) != multiply(sk_c1,sk_c6)
    | sk_c6 != multiply(sk_c1,sk_c6)
    | sk_c6 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_12619]) ).

cnf(c_12723,plain,
    ( sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_10709,c_1603,c_1602,c_2318,c_3505,c_3511,c_10709]) ).

cnf(c_12724,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(renaming,[status(thm)],[c_12723]) ).

cnf(c_12825,plain,
    ( sk_c6 = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_10710,c_1603,c_1602,c_2367,c_3505,c_3511,c_10710]) ).

cnf(c_12826,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c6 = sk_c7 ),
    inference(renaming,[status(thm)],[c_12825]) ).

cnf(c_13860,plain,
    ( ~ sP0_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_1306,c_64,c_1306]) ).

cnf(c_13920,plain,
    ( ~ sP2_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_1446,c_67,c_1446]) ).

cnf(c_14015,plain,
    ( ~ sP2_iProver_split
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_1447,c_53,c_1447]) ).

cnf(c_15125,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = multiply(identity,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_3620,c_87]) ).

cnf(c_15138,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_15125,c_85]) ).

cnf(c_15214,plain,
    ( multiply(sk_c5,sk_c6) != X0
    | sk_c7 != X0
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1174]) ).

cnf(c_15215,plain,
    ( multiply(sk_c5,sk_c6) != sk_c6
    | sk_c7 != sk_c6
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_15214]) ).

cnf(c_15633,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = multiply(identity,X0)
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_3621,c_87]) ).

cnf(c_15645,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,inverse(sk_c7)),X0)) = X0
    | inverse(sk_c5) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_15633,c_85]) ).

cnf(c_15776,plain,
    ( sk_c6 != sk_c7
    | sk_c5 != sk_c6
    | multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1137]) ).

cnf(c_16546,plain,
    ( multiply(sk_c6,sk_c7) != multiply(identity,sk_c7)
    | X0 != multiply(identity,sk_c7)
    | X0 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1248]) ).

cnf(c_16549,plain,
    ( multiply(sk_c6,sk_c7) != multiply(identity,sk_c7)
    | sk_c6 != multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_16546]) ).

cnf(c_17829,plain,
    ( multiply(sk_c5,sk_c6) != multiply(X0,sk_c7)
    | X1 != multiply(X0,sk_c7)
    | multiply(sk_c5,sk_c6) = X1 ),
    inference(instantiation,[status(thm)],[c_5131]) ).

cnf(c_17831,plain,
    ( multiply(sk_c5,sk_c6) != multiply(sk_c6,sk_c7)
    | sk_c6 != multiply(sk_c6,sk_c7)
    | multiply(sk_c5,sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_17829]) ).

cnf(c_17836,plain,
    ( multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c6)
    | X0 != multiply(sk_c5,sk_c6)
    | multiply(sk_c5,sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_5131]) ).

cnf(c_17837,plain,
    ( multiply(sk_c5,sk_c6) != multiply(sk_c5,sk_c6)
    | sk_c6 != multiply(sk_c5,sk_c6)
    | multiply(sk_c5,sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_17836]) ).

cnf(c_18200,plain,
    ( multiply(sk_c5,sk_c6) != multiply(identity,sk_c7)
    | X0 != multiply(identity,sk_c7)
    | X0 = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_5132]) ).

cnf(c_18201,plain,
    ( multiply(sk_c5,sk_c6) != sk_c7
    | multiply(identity,sk_c7) != sk_c7
    | multiply(sk_c5,sk_c6) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1617]) ).

cnf(c_18202,plain,
    ( multiply(sk_c5,sk_c6) != multiply(identity,sk_c7)
    | sk_c6 != multiply(identity,sk_c7)
    | sk_c6 = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_18200]) ).

cnf(c_19367,plain,
    ( multiply(inverse(sk_c7),sk_c7) != multiply(X0,X1)
    | multiply(sk_c6,sk_c7) != multiply(X0,X1)
    | multiply(inverse(sk_c7),sk_c7) = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_4006]) ).

cnf(c_19368,plain,
    ( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c6,sk_c6)
    | multiply(sk_c6,sk_c7) != multiply(sk_c6,sk_c6)
    | multiply(inverse(sk_c7),sk_c7) = multiply(sk_c6,sk_c7) ),
    inference(instantiation,[status(thm)],[c_19367]) ).

cnf(c_23136,plain,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c7) = sk_c1 ),
    inference(global_subsumption_just,[status(thm)],[c_10756,c_9547,c_12826]) ).

cnf(c_23137,plain,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c1) = sk_c7 ),
    inference(renaming,[status(thm)],[c_23136]) ).

cnf(c_23149,plain,
    inverse(sk_c7) = sk_c1,
    inference(superposition,[status(thm)],[c_23137,c_1212]) ).

cnf(c_23335,plain,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c6) = sk_c2 ),
    inference(global_subsumption_just,[status(thm)],[c_10833,c_9532,c_12724]) ).

cnf(c_23336,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6 ),
    inference(renaming,[status(thm)],[c_23335]) ).

cnf(c_23349,plain,
    inverse(sk_c6) = sk_c2,
    inference(superposition,[status(thm)],[c_23336,c_1212]) ).

cnf(c_23388,plain,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    inference(demodulation,[status(thm)],[c_998,c_23349]) ).

cnf(c_23471,plain,
    multiply(sk_c1,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_23149,c_86]) ).

cnf(c_23490,plain,
    multiply(sk_c2,multiply(sk_c6,X0)) = X0,
    inference(superposition,[status(thm)],[c_23349,c_989]) ).

cnf(c_26885,plain,
    ( multiply(inverse(sk_c7),sk_c7) != multiply(X0,X1)
    | X2 != multiply(X0,X1)
    | X2 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_8129]) ).

cnf(c_26887,plain,
    ( multiply(inverse(sk_c7),sk_c7) != multiply(sk_c6,sk_c6)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_26885]) ).

cnf(c_28279,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,sk_c1),X0)) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_15138,c_23149]) ).

cnf(c_28280,plain,
    ( multiply(sk_c1,multiply(sk_c6,multiply(sk_c1,X0))) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_28279,c_1209,c_1212]) ).

cnf(c_28292,plain,
    ( multiply(sk_c1,multiply(sk_c6,sk_c7)) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_67,c_28280]) ).

cnf(c_28517,plain,
    ( multiply(sk_c1,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_53,c_28292]) ).

cnf(c_28573,plain,
    ( multiply(sk_c1,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_28517,c_87]) ).

cnf(c_28801,plain,
    ( multiply(sk_c1,multiply(multiply(sk_c6,sk_c1),X0)) = X0
    | inverse(sk_c5) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_15645,c_23149]) ).

cnf(c_28802,plain,
    ( multiply(sk_c1,multiply(sk_c6,multiply(sk_c1,X0))) = X0
    | inverse(sk_c5) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_28801,c_1209,c_1212]) ).

cnf(c_28815,plain,
    ( multiply(sk_c1,multiply(sk_c6,sk_c7)) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_65,c_28802]) ).

cnf(c_29018,plain,
    ( multiply(sk_c1,sk_c5) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_51,c_28815]) ).

cnf(c_29068,plain,
    ( multiply(sk_c1,multiply(sk_c5,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_29018,c_87]) ).

cnf(c_29947,plain,
    ( sk_c5 != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | sk_c5 = identity ),
    inference(instantiation,[status(thm)],[c_5382]) ).

cnf(c_29955,plain,
    ( X0 != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_3311]) ).

cnf(c_29958,plain,
    ( sk_c6 != multiply(inverse(sk_c7),sk_c7)
    | identity != multiply(inverse(sk_c7),sk_c7)
    | sk_c6 = identity ),
    inference(instantiation,[status(thm)],[c_29955]) ).

cnf(c_30710,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_23388,c_78]) ).

cnf(c_30737,plain,
    ( inverse(sk_c7) = sk_c3
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_30710,c_1212]) ).

cnf(c_30740,plain,
    ( sk_c6 = sk_c7
    | sk_c3 = sk_c1 ),
    inference(light_normalisation,[status(thm)],[c_30737,c_23149]) ).

cnf(c_31158,plain,
    ( multiply(inverse(sk_c7),sk_c7) != sk_c7
    | X0 != sk_c7
    | X0 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_8129]) ).

cnf(c_31159,plain,
    ( multiply(inverse(sk_c7),sk_c7) != sk_c7
    | sk_c6 != sk_c7
    | sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
    inference(instantiation,[status(thm)],[c_31158]) ).

cnf(c_31190,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_30740,c_77]) ).

cnf(c_31192,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_30740,c_49]) ).

cnf(c_31193,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = sk_c7
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_31192,c_23471]) ).

cnf(c_31201,plain,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | sk_c6 = sk_c7
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_31190,c_23471]) ).

cnf(c_31695,plain,
    ( sk_c6 = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_31193,c_1603,c_1602,c_3505,c_3511,c_10708,c_31193]) ).

cnf(c_31696,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(renaming,[status(thm)],[c_31695]) ).

cnf(c_31720,plain,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_31696,c_23490]) ).

cnf(c_32002,plain,
    ( sk_c6 = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_31720,c_31201]) ).

cnf(c_32003,plain,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_31720,c_83]) ).

cnf(c_32004,plain,
    ( multiply(sk_c5,sk_c7) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_31720,c_82]) ).

cnf(c_32099,plain,
    ( sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_32003,c_10392]) ).

cnf(c_32193,plain,
    sk_c6 = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_32004,c_439,c_1175,c_1603,c_1602,c_3505,c_3510,c_32002,c_32099]) ).

cnf(c_32277,plain,
    multiply(sk_c1,sk_c6) = identity,
    inference(demodulation,[status(thm)],[c_23471,c_32193]) ).

cnf(c_32286,plain,
    inverse(sk_c6) = sk_c1,
    inference(demodulation,[status(thm)],[c_23149,c_32193]) ).

cnf(c_32304,plain,
    ( ~ sP0_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_13860,c_32193]) ).

cnf(c_32311,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_9794,c_32193]) ).

cnf(c_32322,plain,
    ( multiply(sk_c6,sk_c6) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_4490,c_32193]) ).

cnf(c_32327,plain,
    ( multiply(sk_c6,sk_c6) != sk_c5
    | multiply(sk_c5,sk_c6) != sk_c6
    | inverse(sk_c5) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_432,c_32193]) ).

cnf(c_32328,plain,
    ( multiply(X0,sk_c6) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_431,c_32193]) ).

cnf(c_32329,plain,
    ( multiply(X0,sk_c6) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_split ),
    inference(demodulation,[status(thm)],[c_428,c_32193]) ).

cnf(c_32333,plain,
    ( multiply(sk_c5,sk_c6) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_69,c_32193]) ).

cnf(c_32335,plain,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | multiply(sk_c1,sk_c6) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_66,c_32193]) ).

cnf(c_32336,plain,
    ( multiply(sk_c3,sk_c6) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_63,c_32193]) ).

cnf(c_32343,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_64,c_32193]) ).

cnf(c_32348,plain,
    sk_c1 = sk_c2,
    inference(light_normalisation,[status(thm)],[c_32286,c_23349]) ).

cnf(c_32610,plain,
    inverse(sk_c6) = sk_c1,
    inference(demodulation,[status(thm)],[c_23349,c_32348]) ).

cnf(c_32723,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32343,c_32277]) ).

cnf(c_32730,plain,
    ( inverse(sk_c6) = sk_c3
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32723,c_1212]) ).

cnf(c_32733,plain,
    ( sk_c6 = identity
    | sk_c3 = sk_c1 ),
    inference(light_normalisation,[status(thm)],[c_32730,c_32610]) ).

cnf(c_32782,plain,
    ( multiply(sk_c5,sk_c6) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32333,c_32277]) ).

cnf(c_32791,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c6)
    | inverse(sk_c5) = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32782,c_29068]) ).

cnf(c_32792,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c6)
    | inverse(sk_c4) = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32782,c_28573]) ).

cnf(c_32805,plain,
    ( multiply(sk_c6,sk_c6) = identity
    | inverse(sk_c4) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32792,c_32277]) ).

cnf(c_32809,plain,
    ( multiply(sk_c6,sk_c6) = identity
    | inverse(sk_c5) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32791,c_32277]) ).

cnf(c_32873,plain,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32335,c_32277]) ).

cnf(c_32878,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32873,c_430]) ).

cnf(c_32893,plain,
    ( multiply(sk_c3,sk_c6) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_32336,c_32277]) ).

cnf(c_32965,plain,
    ( ~ sP2_iProver_split
    | sk_c6 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_32878,c_439,c_983,c_1125,c_1128,c_1129,c_1138,c_1139,c_1172,c_1175,c_1471,c_1461,c_1603,c_1602,c_1618,c_3309,c_3372,c_3505,c_3510,c_4074,c_5487,c_8422,c_9114,c_14015,c_16549,c_19368,c_29947,c_32002,c_32099,c_32805,c_32878]) ).

cnf(c_32967,plain,
    ~ sP2_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_32965,c_439,c_1125,c_1128,c_1129,c_1172,c_1175,c_1461,c_1603,c_1602,c_3372,c_3505,c_3510,c_3578,c_4074,c_4140,c_8558,c_12620,c_13920,c_14015,c_32002,c_32099,c_32965]) ).

cnf(c_32981,plain,
    ( inverse(identity) != sk_c6
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_85,c_32328]) ).

cnf(c_32987,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP3_iProver_split
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32893,c_32328]) ).

cnf(c_32988,plain,
    ( sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_32981,c_1190]) ).

cnf(c_33020,plain,
    ~ sP3_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_32988,c_32311,c_32988,c_32987]) ).

cnf(c_33047,plain,
    ( inverse(sk_c5) != sk_c6
    | ~ sP0_iProver_split
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32782,c_32329]) ).

cnf(c_33087,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_32304,c_439,c_1332,c_1602,c_3309,c_4005,c_5487,c_9114,c_26887,c_29958,c_32322,c_32809,c_33047]) ).

cnf(c_33243,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_32733,c_32893]) ).

cnf(c_33245,plain,
    sk_c6 = identity,
    inference(light_normalisation,[status(thm)],[c_33243,c_32277]) ).

cnf(c_33263,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm)],[c_32193,c_33245]) ).

cnf(c_33759,plain,
    multiply(sk_c5,sk_c6) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_1453,c_55,c_439,c_1125,c_1128,c_1129,c_1148,c_1172,c_1175,c_1603,c_1602,c_1618,c_3080,c_3309,c_3372,c_3505,c_3510,c_5487,c_8121,c_15215,c_15776,c_16549,c_17831,c_29958,c_31159,c_32002,c_32099,c_33263]) ).

cnf(c_33761,plain,
    multiply(sk_c5,identity) = identity,
    inference(light_normalisation,[status(thm)],[c_33759,c_33245,c_33263]) ).

cnf(c_33762,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm)],[c_33761,c_1182]) ).

cnf(c_34009,plain,
    ( multiply(sk_c6,sk_c6) != sk_c5
    | inverse(sk_c5) != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_32327,c_439,c_983,c_1125,c_1129,c_1138,c_1139,c_1163,c_1172,c_1397,c_1602,c_1618,c_2586,c_3309,c_3372,c_4074,c_5487,c_5589,c_8121,c_16549,c_17837,c_18202,c_18201,c_29958,c_31159,c_32193,c_32327,c_32967,c_33020,c_33087,c_33263,c_33759]) ).

cnf(c_34011,plain,
    ( multiply(identity,identity) != identity
    | identity != identity ),
    inference(light_normalisation,[status(thm)],[c_34009,c_1190,c_33245,c_33762]) ).

cnf(c_34012,plain,
    multiply(identity,identity) != identity,
    inference(equality_resolution_simp,[status(thm)],[c_34011]) ).

cnf(c_34013,plain,
    identity != identity,
    inference(demodulation,[status(thm)],[c_34012,c_85]) ).

cnf(c_34014,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_34013]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 01:35:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.86/1.64  % SZS status Started for theBenchmark.p
% 7.86/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.64  
% 7.86/1.64  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.86/1.64  
% 7.86/1.64  ------  iProver source info
% 7.86/1.64  
% 7.86/1.64  git: date: 2023-05-31 18:12:56 +0000
% 7.86/1.64  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.86/1.64  git: non_committed_changes: false
% 7.86/1.64  git: last_make_outside_of_git: false
% 7.86/1.64  
% 7.86/1.64  ------ Parsing...successful
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.86/1.64  
% 7.86/1.64  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.86/1.64  
% 7.86/1.64  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.86/1.64  ------ Proving...
% 7.86/1.64  ------ Problem Properties 
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  clauses                                 43
% 7.86/1.64  conjectures                             40
% 7.86/1.64  EPR                                     0
% 7.86/1.64  Horn                                    7
% 7.86/1.64  unary                                   3
% 7.86/1.64  binary                                  35
% 7.86/1.64  lits                                    93
% 7.86/1.64  lits eq                                 85
% 7.86/1.64  fd_pure                                 0
% 7.86/1.64  fd_pseudo                               0
% 7.86/1.64  fd_cond                                 0
% 7.86/1.64  fd_pseudo_cond                          0
% 7.86/1.64  AC symbols                              0
% 7.86/1.64  
% 7.86/1.64  ------ Schedule dynamic 5 is on 
% 7.86/1.64  
% 7.86/1.64  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  ------ 
% 7.86/1.64  Current options:
% 7.86/1.64  ------ 
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  ------ Proving...
% 7.86/1.64  
% 7.86/1.64  
% 7.86/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.64  
% 7.86/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.64  
% 7.86/1.65  
%------------------------------------------------------------------------------