TSTP Solution File: GRP381-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:59:37 EDT 2023

% Result   : Unsatisfiable 10.42s 2.18s
% Output   : CNFRefutation 10.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   37
% Syntax   : Number of clauses     :  328 (  50 unt; 127 nHn; 284 RR)
%            Number of literals    :  779 ( 697 equ; 332 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  148 (   0 sgn)

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

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

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

cnf(c_53,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c7) = 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_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,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_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,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_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,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_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

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

cnf(c_68,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

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

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

cnf(c_72,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | multiply(X1,sk_c6) != sk_c7
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c5) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c6,sk_c5) != sk_c7
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6
    | inverse(sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_81,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_82,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_379,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_79]) ).

cnf(c_380,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_79]) ).

cnf(c_381,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_79]) ).

cnf(c_382,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_79]) ).

cnf(c_383,negated_conjecture,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c6,sk_c5) != sk_c7
    | inverse(sk_c7) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).

cnf(c_384,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_385,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_386,plain,
    ( X0 != X1
    | inverse(X0) = inverse(X1) ),
    theory(equality) ).

cnf(c_387,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_390,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_393,plain,
    ( multiply(sk_c6,sk_c5) != sk_c6
    | inverse(sk_c6) != sk_c6
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_740,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_76,c_379]) ).

cnf(c_744,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP0_iProver_split
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_71,c_379]) ).

cnf(c_746,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_379]) ).

cnf(c_747,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_70,c_379]) ).

cnf(c_789,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP1_iProver_split
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_56,c_380]) ).

cnf(c_790,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_76,c_380]) ).

cnf(c_794,plain,
    ( inverse(sk_c2) != sk_c6
    | ~ sP1_iProver_split
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_71,c_380]) ).

cnf(c_796,plain,
    ( inverse(sk_c2) != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_380]) ).

cnf(c_797,plain,
    ( inverse(sk_c2) != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_70,c_380]) ).

cnf(c_799,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c7 != identity
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_380]) ).

cnf(c_839,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_58,c_381]) ).

cnf(c_842,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c7) = sk_c6 ),
    inference(superposition,[status(thm)],[c_53,c_381]) ).

cnf(c_843,plain,
    ( inverse(sk_c6) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP2_iProver_split
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(superposition,[status(thm)],[c_54,c_381]) ).

cnf(c_844,plain,
    ( inverse(sk_c6) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_57,c_381]) ).

cnf(c_845,plain,
    ( inverse(sk_c6) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_55,c_381]) ).

cnf(c_881,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_894,plain,
    ( inverse(sk_c1) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_62,c_382]) ).

cnf(c_895,plain,
    ( inverse(sk_c1) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_382]) ).

cnf(c_897,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_382]) ).

cnf(c_931,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_881]) ).

cnf(c_932,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_933,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != sk_c7
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_931]) ).

cnf(c_937,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_931]) ).

cnf(c_938,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    inference(instantiation,[status(thm)],[c_931]) ).

cnf(c_939,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_931]) ).

cnf(c_940,plain,
    multiply(identity,sk_c7) = sk_c7,
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_942,plain,
    ( X0 != X1
    | sk_c7 != X1
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_943,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_942]) ).

cnf(c_961,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | inverse(sk_c7) != sk_c6
    | inverse(sk_c3) = sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_55,c_383]) ).

cnf(c_997,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(superposition,[status(thm)],[c_63,c_82]) ).

cnf(c_999,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(superposition,[status(thm)],[c_59,c_82]) ).

cnf(c_1000,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_62,c_82]) ).

cnf(c_1001,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_82]) ).

cnf(c_1005,plain,
    ( multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_82]) ).

cnf(c_1006,plain,
    ( multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_70,c_82]) ).

cnf(c_1008,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_1136,plain,
    ( X0 != multiply(sk_c3,sk_c6)
    | sk_c7 != multiply(sk_c3,sk_c6)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_881]) ).

cnf(c_1137,plain,
    ( sk_c7 != multiply(sk_c3,sk_c6)
    | sk_c6 != multiply(sk_c3,sk_c6)
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1136]) ).

cnf(c_1145,plain,
    ( X0 != inverse(sk_c3)
    | sk_c7 != inverse(sk_c3)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_942]) ).

cnf(c_1146,plain,
    ( sk_c7 != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1145]) ).

cnf(c_1152,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_379]) ).

cnf(c_1159,plain,
    ( inverse(sk_c3) != X0
    | X1 != X0
    | X1 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1169,plain,
    ( multiply(sk_c3,sk_c6) != X0
    | X1 != X0
    | X1 = multiply(sk_c3,sk_c6) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1187,plain,
    multiply(sk_c3,sk_c6) = multiply(sk_c3,sk_c6),
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_1192,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1008,c_80]) ).

cnf(c_1199,plain,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_74,c_1192]) ).

cnf(c_1200,plain,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_64,c_1192]) ).

cnf(c_1216,plain,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_62,c_1192]) ).

cnf(c_1217,plain,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_1192]) ).

cnf(c_1221,plain,
    ( multiply(inverse(sk_c2),sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_1192]) ).

cnf(c_1222,plain,
    ( multiply(inverse(sk_c2),sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_70,c_1192]) ).

cnf(c_1223,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_1192]) ).

cnf(c_1224,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_1192]) ).

cnf(c_1232,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1192,c_1192]) ).

cnf(c_1303,plain,
    ( multiply(identity,sk_c7) != X0
    | X1 != X0
    | X1 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1319,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1410,plain,
    ( inverse(sk_c3) != X0
    | X1 != X0
    | inverse(sk_c3) = X1 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1411,plain,
    ( inverse(sk_c3) != inverse(X0)
    | X1 != inverse(X0)
    | X1 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1159]) ).

cnf(c_1412,plain,
    ( sk_c3 != X0
    | inverse(sk_c3) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1420,plain,
    ( inverse(inverse(identity)) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_1223,c_380]) ).

cnf(c_1421,plain,
    ( inverse(inverse(identity)) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_1223,c_379]) ).

cnf(c_1437,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_1224,c_1232]) ).

cnf(c_1445,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1437,c_1223]) ).

cnf(c_1452,plain,
    ( multiply(sk_c3,sk_c6) != X0
    | X1 != X0
    | multiply(sk_c3,sk_c6) = X1 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1453,plain,
    ( multiply(sk_c3,sk_c6) != multiply(X0,X1)
    | X2 != multiply(X0,X1)
    | X2 = multiply(sk_c3,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1169]) ).

cnf(c_1454,plain,
    ( sk_c6 != X0
    | sk_c3 != X1
    | multiply(sk_c3,sk_c6) = multiply(X1,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

cnf(c_1455,plain,
    ( multiply(sk_c3,sk_c6) != multiply(sk_c6,sk_c6)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c6 = multiply(sk_c3,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_1456,plain,
    ( sk_c6 != sk_c6
    | sk_c3 != sk_c6
    | multiply(sk_c3,sk_c6) = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1454]) ).

cnf(c_1472,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_1232,c_81]) ).

cnf(c_1478,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_1232,c_1192]) ).

cnf(c_1479,plain,
    inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[status(thm)],[c_1232,c_1437]) ).

cnf(c_1480,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1479,c_1437]) ).

cnf(c_1507,plain,
    inverse(inverse(sk_c6)) = sk_c6,
    inference(instantiation,[status(thm)],[c_1480]) ).

cnf(c_1533,plain,
    sk_c3 = sk_c3,
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_1547,plain,
    ( multiply(identity,sk_c7) != X0
    | X1 != X0
    | multiply(identity,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1882,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1883,plain,
    ( inverse(X0) != inverse(X1)
    | sk_c6 != inverse(X1)
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1319]) ).

cnf(c_1913,plain,
    ( multiply(sk_c1,sk_c7) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_67,c_1472]) ).

cnf(c_1914,plain,
    ( multiply(sk_c1,sk_c7) = identity
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_65,c_1472]) ).

cnf(c_1915,plain,
    ( multiply(sk_c2,sk_c6) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_77,c_1472]) ).

cnf(c_1916,plain,
    ( multiply(sk_c2,sk_c6) = identity
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_75,c_1472]) ).

cnf(c_1922,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_1472,c_82]) ).

cnf(c_2055,plain,
    ( multiply(sk_c4,multiply(sk_c6,X0)) = X0
    | inverse(sk_c7) = sk_c6 ),
    inference(superposition,[status(thm)],[c_52,c_1478]) ).

cnf(c_2056,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_67,c_1478]) ).

cnf(c_2057,plain,
    ( multiply(sk_c1,multiply(sk_c7,X0)) = X0
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_65,c_1478]) ).

cnf(c_2058,plain,
    ( multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_77,c_1478]) ).

cnf(c_2059,plain,
    ( multiply(sk_c2,multiply(sk_c6,X0)) = X0
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_75,c_1478]) ).

cnf(c_2258,plain,
    ( inverse(sk_c4) = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_1913,c_62]) ).

cnf(c_2388,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_1914,c_60]) ).

cnf(c_2423,plain,
    ( X0 != X1
    | sk_c3 != X1
    | sk_c3 = X0 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_2432,plain,
    ( inverse(sk_c3) != sk_c7
    | X0 != sk_c7
    | inverse(sk_c3) = X0 ),
    inference(instantiation,[status(thm)],[c_1410]) ).

cnf(c_2452,plain,
    ( inverse(sk_c4) = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_1915,c_72]) ).

cnf(c_2475,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | X0 != sk_c7
    | multiply(sk_c3,sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_2476,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | sk_c6 != sk_c7
    | multiply(sk_c3,sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_2475]) ).

cnf(c_2482,plain,
    ( multiply(sk_c3,sk_c6) != multiply(sk_c3,sk_c6)
    | X0 != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_2531,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_1916,c_70]) ).

cnf(c_3087,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | X0 != sk_c7
    | multiply(identity,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1547]) ).

cnf(c_3391,plain,
    ( inverse(X0) != identity
    | sk_c6 != identity
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1319]) ).

cnf(c_3393,plain,
    ( inverse(sk_c6) != identity
    | sk_c6 != identity
    | inverse(sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3391]) ).

cnf(c_3396,plain,
    ( multiply(sk_c3,sk_c6) != identity
    | X0 != identity
    | multiply(sk_c3,sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_3400,plain,
    ( multiply(sk_c3,sk_c6) != identity
    | sk_c6 != identity
    | multiply(sk_c3,sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3396]) ).

cnf(c_3605,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_67,c_1216]) ).

cnf(c_3633,plain,
    ( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_3605,c_82]) ).

cnf(c_3652,plain,
    ( multiply(sk_c3,sk_c6) != inverse(sk_c3)
    | X0 != inverse(sk_c3)
    | multiply(sk_c3,sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_3655,plain,
    ( multiply(sk_c3,sk_c6) != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | multiply(sk_c3,sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3652]) ).

cnf(c_3661,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_65,c_1217]) ).

cnf(c_3691,plain,
    ( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_3661,c_82]) ).

cnf(c_3712,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_77,c_1221]) ).

cnf(c_3975,plain,
    ( multiply(sk_c1,multiply(sk_c7,inverse(sk_c6))) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_62,c_1922]) ).

cnf(c_3976,plain,
    ( multiply(sk_c1,multiply(sk_c7,inverse(sk_c6))) = identity
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_1922]) ).

cnf(c_4277,plain,
    ( inverse(sk_c4) != sk_c6
    | X0 != sk_c6
    | inverse(sk_c4) = X0 ),
    inference(instantiation,[status(thm)],[c_1882]) ).

cnf(c_4278,plain,
    ( inverse(sk_c2) != sk_c6
    | X0 != sk_c6
    | inverse(sk_c2) = X0 ),
    inference(instantiation,[status(thm)],[c_1882]) ).

cnf(c_4327,plain,
    ( X0 != identity
    | sk_c7 != identity
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_942]) ).

cnf(c_4328,plain,
    ( X0 != identity
    | sk_c7 != identity
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_881]) ).

cnf(c_4329,plain,
    ( sk_c7 != identity
    | sk_c6 != identity
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_4328]) ).

cnf(c_4330,plain,
    ( sk_c7 != identity
    | sk_c6 != identity
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_4327]) ).

cnf(c_4333,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | sk_c6 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_4576,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_75,c_1222]) ).

cnf(c_4634,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_740,c_75,c_740]) ).

cnf(c_4652,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c2) != sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_746,c_747,c_744,c_1152]) ).

cnf(c_4653,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP0_iProver_split ),
    inference(renaming,[status(thm)],[c_4652]) ).

cnf(c_4658,plain,
    ( sk_c7 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_77,c_4653]) ).

cnf(c_4659,plain,
    ( sk_c7 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_75,c_4653]) ).

cnf(c_4666,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_4658,c_2258,c_2452,c_4329,c_4658]) ).

cnf(c_4945,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_4659,c_2388,c_2531,c_4329,c_4659]) ).

cnf(c_5184,plain,
    ( inverse(X0) != X1
    | sk_c7 != X1
    | inverse(X0) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_942]) ).

cnf(c_5201,plain,
    ( ~ sP1_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_797,c_799,c_1507,c_2531]) ).

cnf(c_5314,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c7) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_842,c_52,c_842]) ).

cnf(c_5350,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_895,c_65,c_895]) ).

cnf(c_5477,plain,
    ( multiply(sk_c3,sk_c6) != multiply(sk_c3,sk_c6)
    | inverse(sk_c3) != multiply(sk_c3,sk_c6)
    | multiply(sk_c3,sk_c6) = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_2482]) ).

cnf(c_5719,plain,
    ( multiply(identity,sk_c7) != X0
    | inverse(X1) != X0
    | inverse(X1) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1303]) ).

cnf(c_5995,plain,
    ( multiply(sk_c6,sk_c5) != X0
    | X1 != X0
    | multiply(sk_c6,sk_c5) = X1 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_6054,plain,
    ( X0 != X1
    | sk_c5 != X1
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_6187,plain,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | inverse(sk_c7) = sk_c6 ),
    inference(superposition,[status(thm)],[c_49,c_2055]) ).

cnf(c_6237,plain,
    ( inverse(sk_c7) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_6187,c_53]) ).

cnf(c_8365,plain,
    ( multiply(X0,X1) != sk_c7
    | multiply(identity,sk_c7) != sk_c7
    | multiply(identity,sk_c7) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_3087]) ).

cnf(c_8366,plain,
    ( multiply(sk_c6,sk_c6) != sk_c7
    | multiply(identity,sk_c7) != sk_c7
    | multiply(identity,sk_c7) = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_8365]) ).

cnf(c_8464,plain,
    ( X0 != sk_c3
    | sk_c3 != sk_c3
    | sk_c3 = X0 ),
    inference(instantiation,[status(thm)],[c_2423]) ).

cnf(c_8465,plain,
    ( sk_c6 != sk_c3
    | sk_c3 != sk_c3
    | sk_c3 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_8464]) ).

cnf(c_8872,plain,
    ( inverse(sk_c2) != sk_c6
    | sk_c7 != sk_c6
    | inverse(sk_c2) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_4278]) ).

cnf(c_9138,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(sk_c3) != sk_c7
    | inverse(sk_c3) = multiply(sk_c2,sk_c6) ),
    inference(instantiation,[status(thm)],[c_2432]) ).

cnf(c_9255,plain,
    ( inverse(sk_c7) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = inverse(sk_c7) ),
    inference(instantiation,[status(thm)],[c_4333]) ).

cnf(c_9257,plain,
    ( inverse(sk_c4) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_4333]) ).

cnf(c_10585,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(sk_c3) != sk_c6
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_380]) ).

cnf(c_11329,plain,
    ( ~ sP1_iProver_split
    | inverse(sk_c3) != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_789,c_790,c_794,c_10585]) ).

cnf(c_11330,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP1_iProver_split ),
    inference(renaming,[status(thm)],[c_11329]) ).

cnf(c_11335,plain,
    ( sk_c7 != sk_c6
    | ~ sP1_iProver_split
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2531,c_11330]) ).

cnf(c_11383,plain,
    ( ~ sP2_iProver_split
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_839,c_57,c_839]) ).

cnf(c_11408,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_897,c_1480]) ).

cnf(c_11409,plain,
    ( sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_11408]) ).

cnf(c_11424,plain,
    ( inverse(X0) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_931]) ).

cnf(c_12406,plain,
    ( inverse(sk_c4) != X0
    | sk_c7 != X0
    | inverse(sk_c4) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_5184]) ).

cnf(c_12451,plain,
    ( multiply(identity,sk_c7) != X0
    | inverse(sk_c4) != X0
    | inverse(sk_c4) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_5719]) ).

cnf(c_13072,plain,
    ( sk_c7 != sk_c6
    | ~ sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_1420,c_799,c_1507,c_11335]) ).

cnf(c_13078,plain,
    ( sk_c7 != sk_c6
    | ~ sP0_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_1421,c_747,c_744,c_1152,c_4634,c_8872]) ).

cnf(c_14406,plain,
    ( inverse(sk_c6) = identity
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_3975,c_2056]) ).

cnf(c_14543,plain,
    ( inverse(sk_c6) = identity
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_3976,c_2057]) ).

cnf(c_16219,plain,
    ( inverse(sk_c3) != inverse(X0)
    | sk_c6 != inverse(X0)
    | sk_c6 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1411]) ).

cnf(c_18291,plain,
    ( multiply(sk_c6,X0) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_1000,c_2056]) ).

cnf(c_18376,plain,
    ( multiply(sk_c6,X0) = X0
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1001,c_2057]) ).

cnf(c_18627,plain,
    ( multiply(sk_c7,X0) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_1005,c_2058]) ).

cnf(c_18844,plain,
    ( multiply(sk_c7,X0) = X0
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1006,c_2059]) ).

cnf(c_19945,plain,
    ( multiply(sk_c6,sk_c5) != sk_c7
    | X0 != sk_c7
    | multiply(sk_c6,sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_5995]) ).

cnf(c_19946,plain,
    ( multiply(sk_c6,sk_c5) != sk_c7
    | sk_c6 != sk_c7
    | multiply(sk_c6,sk_c5) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_19945]) ).

cnf(c_20753,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | inverse(sk_c7) != sk_c6
    | inverse(sk_c4) = sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_57,c_383]) ).

cnf(c_20754,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | inverse(sk_c7) != sk_c6
    | inverse(sk_c3) = sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_55,c_383]) ).

cnf(c_20801,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | inverse(sk_c4) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_20753,c_77,c_67,c_52,c_57,c_383,c_796,c_844,c_894,c_2258,c_2452,c_3393,c_4329,c_4666,c_14406]) ).

cnf(c_20826,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | inverse(sk_c3) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_20754,c_50,c_845,c_961,c_2388,c_2531,c_3393,c_4329,c_4945,c_5201,c_5350,c_14543]) ).

cnf(c_21004,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_21103,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_21004,c_80]) ).

cnf(c_21133,plain,
    ( multiply(inverse(sk_c2),sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_72,c_21103]) ).

cnf(c_21134,plain,
    ( multiply(inverse(sk_c2),sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_70,c_21103]) ).

cnf(c_21545,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_75,c_21134]) ).

cnf(c_21633,plain,
    ( sk_c6 != sk_c5
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_21545,c_20826]) ).

cnf(c_21871,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_77,c_21133]) ).

cnf(c_21895,plain,
    ( sk_c6 != sk_c5
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_21871,c_20801]) ).

cnf(c_24503,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_57,c_3633]) ).

cnf(c_24817,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c5)
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_55,c_3691]) ).

cnf(c_25620,plain,
    ( X0 != inverse(X1)
    | sk_c7 != inverse(X1)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_881]) ).

cnf(c_26952,plain,
    ( inverse(X0) != inverse(sk_c7)
    | sk_c6 != inverse(sk_c7)
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1883]) ).

cnf(c_26953,plain,
    ( inverse(sk_c6) != inverse(sk_c7)
    | sk_c6 != inverse(sk_c7)
    | inverse(sk_c6) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_26952]) ).

cnf(c_28807,plain,
    ( inverse(sk_c4) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_18291,c_3712]) ).

cnf(c_29039,plain,
    ( multiply(sk_c4,sk_c6) = identity
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_28807,c_1472]) ).

cnf(c_31799,plain,
    ( inverse(sk_c4) != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | inverse(sk_c4) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_12406]) ).

cnf(c_32249,plain,
    ( multiply(identity,sk_c7) != multiply(X0,X1)
    | inverse(sk_c4) != multiply(X0,X1)
    | inverse(sk_c4) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_12451]) ).

cnf(c_32250,plain,
    ( multiply(identity,sk_c7) != multiply(sk_c6,sk_c6)
    | inverse(sk_c4) != multiply(sk_c6,sk_c6)
    | inverse(sk_c4) = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_32249]) ).

cnf(c_33993,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c7 != identity
    | ~ sP0_iProver_split
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_29039,c_379]) ).

cnf(c_35416,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_18376,c_4576]) ).

cnf(c_35624,plain,
    ( inverse(sk_c7) = sk_c3
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_35416,c_1480]) ).

cnf(c_36081,plain,
    ( X0 != identity
    | sk_c5 != identity
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_6054]) ).

cnf(c_36085,plain,
    ( sk_c6 != identity
    | sk_c5 != identity
    | sk_c6 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_36081]) ).

cnf(c_36460,plain,
    ( sk_c7 != inverse(sk_c4)
    | sk_c6 != inverse(sk_c4)
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_25620]) ).

cnf(c_36829,plain,
    ( sk_c7 = sk_c6
    | sk_c6 = sk_c3 ),
    inference(superposition,[status(thm)],[c_35624,c_6237]) ).

cnf(c_39113,plain,
    ( multiply(sk_c7,sk_c7) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_18627,c_24503]) ).

cnf(c_40080,plain,
    ( multiply(sk_c7,sk_c7) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_18844,c_24817]) ).

cnf(c_42694,plain,
    ( inverse(sk_c3) != inverse(sk_c4)
    | sk_c6 != inverse(sk_c4)
    | sk_c6 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_16219]) ).

cnf(c_43415,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | X3 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_43416,plain,
    ( multiply(sk_c6,sk_c6) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_43415]) ).

cnf(c_43508,plain,
    ( multiply(X0,X1) != sk_c6
    | inverse(sk_c4) != sk_c6
    | inverse(sk_c4) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_4277]) ).

cnf(c_43510,plain,
    ( multiply(sk_c6,sk_c6) != sk_c6
    | inverse(sk_c4) != sk_c6
    | inverse(sk_c4) = multiply(sk_c6,sk_c6) ),
    inference(instantiation,[status(thm)],[c_43508]) ).

cnf(c_46615,plain,
    ( multiply(sk_c3,sk_c6) != multiply(sk_c2,sk_c6)
    | inverse(sk_c3) != multiply(sk_c2,sk_c6)
    | inverse(sk_c3) = multiply(sk_c3,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_50764,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_11424]) ).

cnf(c_51245,plain,
    ( sk_c3 != sk_c4
    | inverse(sk_c3) = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_1412]) ).

cnf(c_51564,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c7 = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_33993,c_390,c_932,c_9257,c_28807,c_36460,c_50764]) ).

cnf(c_52979,plain,
    ( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_39113,c_82]) ).

cnf(c_53113,plain,
    ( X0 != sk_c7
    | inverse(X0) = inverse(sk_c7) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_53114,plain,
    ( sk_c6 != sk_c7
    | inverse(sk_c6) = inverse(sk_c7) ),
    inference(instantiation,[status(thm)],[c_53113]) ).

cnf(c_53324,plain,
    ( multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_40080,c_82]) ).

cnf(c_53522,plain,
    ( multiply(sk_c5,X0) = X0
    | inverse(sk_c4) = sk_c6 ),
    inference(superposition,[status(thm)],[c_18627,c_52979]) ).

cnf(c_54035,plain,
    ( multiply(sk_c5,X0) = X0
    | inverse(sk_c3) = sk_c7 ),
    inference(superposition,[status(thm)],[c_18844,c_53324]) ).

cnf(c_56587,plain,
    ( sk_c6 != sk_c6
    | sk_c3 != sk_c2
    | multiply(sk_c3,sk_c6) = multiply(sk_c2,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1454]) ).

cnf(c_57846,plain,
    ( ~ sP2_iProver_split
    | sk_c7 != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_843,c_390,c_393,c_943,c_5314,c_9255,c_11383,c_19946,c_26953,c_53114]) ).

cnf(c_57847,plain,
    ( sk_c7 != sk_c6
    | ~ sP2_iProver_split ),
    inference(renaming,[status(thm)],[c_57846]) ).

cnf(c_59570,plain,
    ( inverse(sk_c4) = sk_c6
    | sk_c5 = identity ),
    inference(superposition,[status(thm)],[c_53522,c_1437]) ).

cnf(c_59600,plain,
    inverse(sk_c4) = sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_59570,c_2258,c_21895,c_36085,c_59570]) ).

cnf(c_59696,plain,
    multiply(sk_c4,multiply(sk_c6,X0)) = X0,
    inference(superposition,[status(thm)],[c_59600,c_1478]) ).

cnf(c_59697,plain,
    multiply(sk_c4,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_59600,c_1472]) ).

cnf(c_59698,plain,
    inverse(sk_c6) = sk_c4,
    inference(superposition,[status(thm)],[c_59600,c_1480]) ).

cnf(c_59771,plain,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(demodulation,[status(thm)],[c_1200,c_59698]) ).

cnf(c_59772,plain,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_1199,c_59698]) ).

cnf(c_63114,plain,
    ( inverse(sk_c3) = sk_c7
    | sk_c5 = identity ),
    inference(superposition,[status(thm)],[c_54035,c_1437]) ).

cnf(c_63135,plain,
    inverse(sk_c3) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_63114,c_2388,c_21633,c_36085,c_63114]) ).

cnf(c_63215,plain,
    multiply(sk_c3,multiply(sk_c7,X0)) = X0,
    inference(superposition,[status(thm)],[c_63135,c_1478]) ).

cnf(c_63217,plain,
    inverse(sk_c7) = sk_c3,
    inference(superposition,[status(thm)],[c_63135,c_1480]) ).

cnf(c_63300,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c6,sk_c5) != sk_c7
    | sk_c6 != sk_c3
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_383,c_63217]) ).

cnf(c_64771,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_59771,c_68]) ).

cnf(c_64801,plain,
    ( multiply(sk_c1,sk_c7) = identity
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_64771,c_1472]) ).

cnf(c_64802,plain,
    ( inverse(sk_c7) = sk_c1
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_64771,c_1480]) ).

cnf(c_64809,plain,
    ( sk_c7 = sk_c6
    | sk_c3 = sk_c1 ),
    inference(light_normalisation,[status(thm)],[c_64802,c_63217]) ).

cnf(c_64896,plain,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | sk_c7 = sk_c6
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_64801,c_61]) ).

cnf(c_65360,plain,
    ( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_64809,c_999]) ).

cnf(c_65362,plain,
    ( multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | multiply(sk_c4,sk_c5) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_64809,c_997]) ).

cnf(c_65379,plain,
    ( multiply(sk_c6,X0) = X0
    | multiply(sk_c4,sk_c5) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_65362,c_63215]) ).

cnf(c_65387,plain,
    ( multiply(sk_c6,X0) = X0
    | multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_65360,c_63215]) ).

cnf(c_65394,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c6,sk_c6) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_65387]) ).

cnf(c_65396,plain,
    ( multiply(sk_c6,sk_c6) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_65379]) ).

cnf(c_65429,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_59772,c_78]) ).

cnf(c_65462,plain,
    ( multiply(sk_c2,sk_c6) = identity
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_65429,c_1472]) ).

cnf(c_65551,plain,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | sk_c7 = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_65462,c_73]) ).

cnf(c_65552,plain,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | sk_c7 = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_65462,c_71]) ).

cnf(c_65553,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_65462,c_69]) ).

cnf(c_65557,plain,
    ( inverse(sk_c2) != sk_c7
    | sk_c7 != identity
    | ~ sP0_iProver_split
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_65462,c_379]) ).

cnf(c_65578,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_65551,c_390,c_933,c_932,c_938,c_1137,c_1455,c_1456,c_1533,c_4330,c_8465,c_36829,c_43416,c_64896,c_65396,c_65552]) ).

cnf(c_65579,plain,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(renaming,[status(thm)],[c_65578]) ).

cnf(c_65593,plain,
    ( inverse(sk_c4) != sk_c6
    | ~ sP2_iProver_split
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_65579,c_381]) ).

cnf(c_65605,plain,
    ( ~ sP2_iProver_split
    | sk_c7 = sk_c6 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_65593,c_59600]) ).

cnf(c_65614,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_65552,c_933,c_932,c_4330,c_64896,c_65552]) ).

cnf(c_65615,plain,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(renaming,[status(thm)],[c_65614]) ).

cnf(c_65620,plain,
    ( multiply(sk_c6,sk_c6) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_36829,c_65615]) ).

cnf(c_65624,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP0_iProver_split
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_65615,c_379]) ).

cnf(c_65635,plain,
    ( ~ sP0_iProver_split
    | sk_c7 = sk_c6 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_65624,c_63135]) ).

cnf(c_65645,plain,
    ( sk_c7 = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_65553,c_932,c_939,c_940,c_2258,c_8366,c_21895,c_31799,c_32250,c_36085,c_43510,c_51564,c_59570,c_65394,c_65620]) ).

cnf(c_65646,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = sk_c6 ),
    inference(renaming,[status(thm)],[c_65645]) ).

cnf(c_65661,plain,
    ( multiply(sk_c4,sk_c5) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_65646,c_59696]) ).

cnf(c_65694,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_65557,c_13078,c_65635]) ).

cnf(c_65696,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c6,sk_c5) != sk_c7
    | sk_c6 != sk_c3
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_63300,c_65694]) ).

cnf(c_65703,plain,
    ~ sP2_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_65605,c_57847,c_65605]) ).

cnf(c_66190,plain,
    sk_c7 = sk_c6,
    inference(superposition,[status(thm)],[c_65661,c_65579]) ).

cnf(c_66203,plain,
    ~ sP1_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_13072,c_66190]) ).

cnf(c_66230,plain,
    inverse(sk_c6) = sk_c3,
    inference(demodulation,[status(thm)],[c_63217,c_66190]) ).

cnf(c_66293,plain,
    ( multiply(sk_c6,sk_c5) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_58,c_66190]) ).

cnf(c_66296,plain,
    ( multiply(sk_c3,sk_c6) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_76,c_66190]) ).

cnf(c_66299,plain,
    ( multiply(sk_c3,sk_c6) = sk_c6
    | inverse(sk_c1) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_66,c_66190]) ).

cnf(c_66423,plain,
    sk_c3 = sk_c4,
    inference(light_normalisation,[status(thm)],[c_66230,c_59698]) ).

cnf(c_66431,plain,
    multiply(sk_c3,sk_c6) = identity,
    inference(demodulation,[status(thm)],[c_59697,c_66423]) ).

cnf(c_66433,plain,
    inverse(sk_c6) = sk_c3,
    inference(demodulation,[status(thm)],[c_59698,c_66423]) ).

cnf(c_66524,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_66296,c_66431]) ).

cnf(c_66531,plain,
    ( inverse(sk_c6) = sk_c2
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_66524,c_1480]) ).

cnf(c_66534,plain,
    ( sk_c6 = identity
    | sk_c3 = sk_c2 ),
    inference(light_normalisation,[status(thm)],[c_66531,c_66433]) ).

cnf(c_66625,plain,
    multiply(sk_c3,sk_c6) = sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_66299,c_71,c_390,c_932,c_937,c_1146,c_1187,c_2258,c_2388,c_2476,c_3400,c_3655,c_5477,c_9138,c_9257,c_21633,c_21895,c_36085,c_42694,c_46615,c_51245,c_56587,c_59570,c_63114,c_66423,c_66431,c_66534]) ).

cnf(c_66627,plain,
    sk_c6 = identity,
    inference(light_normalisation,[status(thm)],[c_66625,c_66431]) ).

cnf(c_66629,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm)],[c_66190,c_66627]) ).

cnf(c_66638,plain,
    ( identity != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_11409,c_66627]) ).

cnf(c_66639,plain,
    ~ sP3_iProver_split,
    inference(equality_resolution_simp,[status(thm)],[c_66638]) ).

cnf(c_66828,plain,
    sk_c3 = identity,
    inference(light_normalisation,[status(thm)],[c_66433,c_1445,c_66627]) ).

cnf(c_66835,plain,
    sk_c4 = identity,
    inference(demodulation,[status(thm)],[c_66423,c_66828]) ).

cnf(c_66855,plain,
    multiply(identity,sk_c5) = identity,
    inference(light_normalisation,[status(thm)],[c_66293,c_66627,c_66835]) ).

cnf(c_66856,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm)],[c_66855,c_80]) ).

cnf(c_73015,plain,
    ( sk_c6 != sk_c3
    | multiply(sk_c6,sk_c5) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_65696,c_63300,c_65694,c_65703,c_66203,c_66639]) ).

cnf(c_73016,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c6,sk_c5) != sk_c7
    | sk_c6 != sk_c3 ),
    inference(renaming,[status(thm)],[c_73015]) ).

cnf(c_73017,plain,
    ( multiply(identity,identity) != identity
    | identity != identity ),
    inference(light_normalisation,[status(thm)],[c_73016,c_66627,c_66629,c_66828,c_66856]) ).

cnf(c_73018,plain,
    multiply(identity,identity) != identity,
    inference(equality_resolution_simp,[status(thm)],[c_73017]) ).

cnf(c_73019,plain,
    identity != identity,
    inference(demodulation,[status(thm)],[c_73018,c_80]) ).

cnf(c_73020,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_73019]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 21:30:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.42/2.18  % SZS status Started for theBenchmark.p
% 10.42/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.42/2.18  
% 10.42/2.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.42/2.18  
% 10.42/2.18  ------  iProver source info
% 10.42/2.18  
% 10.42/2.18  git: date: 2023-05-31 18:12:56 +0000
% 10.42/2.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.42/2.18  git: non_committed_changes: false
% 10.42/2.18  git: last_make_outside_of_git: false
% 10.42/2.18  
% 10.42/2.18  ------ Parsing...successful
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.42/2.18  
% 10.42/2.18  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.42/2.18  
% 10.42/2.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.42/2.18  ------ Proving...
% 10.42/2.18  ------ Problem Properties 
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  clauses                                 38
% 10.42/2.18  conjectures                             35
% 10.42/2.18  EPR                                     0
% 10.42/2.18  Horn                                    7
% 10.42/2.18  unary                                   3
% 10.42/2.18  binary                                  30
% 10.42/2.18  lits                                    82
% 10.42/2.18  lits eq                                 74
% 10.42/2.18  fd_pure                                 0
% 10.42/2.18  fd_pseudo                               0
% 10.42/2.18  fd_cond                                 0
% 10.42/2.18  fd_pseudo_cond                          0
% 10.42/2.18  AC symbols                              0
% 10.42/2.18  
% 10.42/2.18  ------ Schedule dynamic 5 is on 
% 10.42/2.18  
% 10.42/2.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  ------ 
% 10.42/2.18  Current options:
% 10.42/2.18  ------ 
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  ------ Proving...
% 10.42/2.18  
% 10.42/2.18  
% 10.42/2.18  % SZS status Unsatisfiable for theBenchmark.p
% 10.42/2.18  
% 10.42/2.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.42/2.19  
% 10.42/2.19  
%------------------------------------------------------------------------------