TSTP Solution File: GRP365-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 00:59:33 EDT 2023

% Result   : Unsatisfiable 7.73s 1.62s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  221 (  36 unt;  90 nHn; 205 RR)
%            Number of literals    :  526 ( 486 equ; 226 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   86 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,sk_c8) != X1
    | multiply(X2,sk_c6) != sk_c8
    | multiply(X3,sk_c8) != sk_c7
    | multiply(X4,sk_c8) != sk_c6
    | multiply(sk_c8,X1) != sk_c7
    | multiply(sk_c6,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_81,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_82,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,sk_c6) != sk_c8
    | multiply(X2,sk_c8) != sk_c7
    | multiply(X3,sk_c8) != sk_c6
    | multiply(sk_c6,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8 ),
    inference(unflattening,[status(thm)],[c_79]) ).

cnf(c_376,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_83]) ).

cnf(c_377,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c8
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_83]) ).

cnf(c_378,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c6
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_83]) ).

cnf(c_379,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_83]) ).

cnf(c_380,negated_conjecture,
    ( multiply(sk_c6,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).

cnf(c_381,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_382,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_383,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_387,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_727,plain,
    ( inverse(sk_c4) != sk_c8
    | ~ sP0_iProver_split
    | multiply(sk_c8,sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_55,c_376]) ).

cnf(c_740,plain,
    ( inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_376]) ).

cnf(c_741,plain,
    ( inverse(inverse(sk_c8)) != sk_c8
    | sk_c7 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_376]) ).

cnf(c_817,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_377]) ).

cnf(c_861,plain,
    ( inverse(identity) != sk_c8
    | sk_c6 != sk_c8
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_378]) ).

cnf(c_862,plain,
    ( inverse(inverse(sk_c8)) != sk_c8
    | sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_378]) ).

cnf(c_929,plain,
    ( multiply(sk_c6,sk_c8) != X0
    | sk_c7 != X0
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_932,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_933,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_932]) ).

cnf(c_934,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_939,plain,
    ( multiply(sk_c4,sk_c8) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_940,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_941,plain,
    multiply(identity,sk_c7) = sk_c7,
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_943,plain,
    ( X0 != X1
    | sk_c7 != X1
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1041,plain,
    ( X0 != multiply(sk_c4,sk_c8)
    | sk_c7 != multiply(sk_c4,sk_c8)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_932]) ).

cnf(c_1044,plain,
    ( X0 != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_932]) ).

cnf(c_1050,plain,
    ( X0 != multiply(sk_c4,sk_c8)
    | sk_c7 != multiply(sk_c4,sk_c8)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_1052,plain,
    ( X0 != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_1054,plain,
    ( multiply(sk_c6,sk_c8) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c6,sk_c8) ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_1058,plain,
    ( multiply(sk_c8,sk_c2) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_1065,plain,
    ( multiply(identity,multiply(identity,sk_c7)) != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | sk_c7 = multiply(identity,multiply(identity,sk_c7)) ),
    inference(instantiation,[status(thm)],[c_1044]) ).

cnf(c_1066,plain,
    multiply(identity,multiply(identity,sk_c7)) = multiply(identity,sk_c7),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1068,plain,
    ( multiply(identity,sk_c7) != X0
    | X1 != X0
    | X1 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1088,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | inverse(sk_c5) = sk_c8
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_53,c_380]) ).

cnf(c_1142,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_1266,plain,
    ( X0 != multiply(sk_c8,sk_c2)
    | sk_c7 != multiply(sk_c8,sk_c2)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_1269,plain,
    ( sk_c8 != multiply(sk_c8,sk_c2)
    | sk_c7 != multiply(sk_c8,sk_c2)
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1266]) ).

cnf(c_1271,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1273,plain,
    ( X0 != multiply(sk_c6,sk_c8)
    | sk_c7 != multiply(sk_c6,sk_c8)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_1277,plain,
    ( multiply(sk_c6,sk_c8) != multiply(identity,multiply(identity,sk_c7))
    | sk_c7 != multiply(identity,multiply(identity,sk_c7))
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_929]) ).

cnf(c_1287,plain,
    ( multiply(identity,sk_c7) != X0
    | X1 != X0
    | multiply(identity,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1289,plain,
    ( sk_c7 != X0
    | identity != X1
    | multiply(identity,sk_c7) = multiply(X1,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

cnf(c_1305,plain,
    identity = identity,
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_1307,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1310,plain,
    ( X0 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_1271]) ).

cnf(c_1311,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_1318,plain,
    ( multiply(sk_c8,sk_c2) != X0
    | X1 != X0
    | X1 = multiply(sk_c8,sk_c2) ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_1319,plain,
    ( multiply(sk_c8,sk_c2) != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = multiply(sk_c8,sk_c2) ),
    inference(instantiation,[status(thm)],[c_1318]) ).

cnf(c_1325,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1142,c_80]) ).

cnf(c_1337,plain,
    ( multiply(inverse(sk_c4),sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_75,c_1325]) ).

cnf(c_1338,plain,
    ( multiply(inverse(sk_c4),sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_65,c_1325]) ).

cnf(c_1347,plain,
    ( multiply(inverse(sk_c1),sk_c2) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_1325]) ).

cnf(c_1349,plain,
    ( multiply(inverse(sk_c1),sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_63,c_1325]) ).

cnf(c_1350,plain,
    ( multiply(inverse(sk_c1),sk_c2) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_61,c_1325]) ).

cnf(c_1353,plain,
    ( multiply(inverse(sk_c3),sk_c8) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    inference(superposition,[status(thm)],[c_69,c_1325]) ).

cnf(c_1354,plain,
    ( multiply(inverse(sk_c3),sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_73,c_1325]) ).

cnf(c_1355,plain,
    ( multiply(inverse(sk_c3),sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_71,c_1325]) ).

cnf(c_1356,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_1325]) ).

cnf(c_1357,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_1325]) ).

cnf(c_1363,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1325,c_1325]) ).

cnf(c_1745,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_1357,c_1363]) ).

cnf(c_1753,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1745,c_1356]) ).

cnf(c_1781,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_1363,c_81]) ).

cnf(c_1785,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_1363,c_1325]) ).

cnf(c_1786,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1363,c_1745]) ).

cnf(c_1787,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1786,c_1745]) ).

cnf(c_1810,plain,
    inverse(inverse(sk_c8)) = sk_c8,
    inference(instantiation,[status(thm)],[c_1787]) ).

cnf(c_1854,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | X0 != sk_c7
    | multiply(identity,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1287]) ).

cnf(c_1873,plain,
    ( sk_c7 != sk_c7
    | identity != X0
    | multiply(identity,sk_c7) = multiply(X0,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1289]) ).

cnf(c_1874,plain,
    ( sk_c7 != sk_c7
    | identity != sk_c8
    | multiply(identity,sk_c7) = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1873]) ).

cnf(c_1926,plain,
    ( X0 != X1
    | identity != X1
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_2068,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_78,c_1781]) ).

cnf(c_2069,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_76,c_1781]) ).

cnf(c_2211,plain,
    ( inverse(inverse(sk_c8)) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_1785,c_379]) ).

cnf(c_2231,plain,
    ( sk_c8 != sk_c7
    | ~ sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2211,c_1787]) ).

cnf(c_2250,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1310]) ).

cnf(c_2256,plain,
    ( X0 != X1
    | sk_c6 != X1
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_2573,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2068,c_73]) ).

cnf(c_2603,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2573,c_1781]) ).

cnf(c_2604,plain,
    ( inverse(sk_c8) = sk_c5
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2573,c_1787]) ).

cnf(c_2632,plain,
    ( sk_c6 != X0
    | sk_c8 != X1
    | multiply(sk_c6,sk_c8) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_383]) ).

cnf(c_2648,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2069,c_71]) ).

cnf(c_2678,plain,
    ( multiply(sk_c4,sk_c8) = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2648,c_1781]) ).

cnf(c_2679,plain,
    ( inverse(sk_c8) = sk_c4
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2648,c_1787]) ).

cnf(c_2824,plain,
    ( multiply(sk_c4,sk_c8) != sk_c7
    | multiply(identity,sk_c7) != sk_c7
    | multiply(identity,sk_c7) = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1854]) ).

cnf(c_2930,plain,
    ( X0 != identity
    | identity != identity
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_1926]) ).

cnf(c_2931,plain,
    ( sk_c8 != identity
    | identity != identity
    | identity = sk_c8 ),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_2981,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2648,c_1337]) ).

cnf(c_3026,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2648,c_1338]) ).

cnf(c_3277,plain,
    ( multiply(sk_c8,sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_68,c_1349]) ).

cnf(c_3308,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3277,c_58]) ).

cnf(c_3329,plain,
    ( multiply(identity,sk_c7) != multiply(sk_c4,sk_c8)
    | X0 != multiply(sk_c4,sk_c8)
    | multiply(identity,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1287]) ).

cnf(c_3403,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3308,c_1781]) ).

cnf(c_3505,plain,
    ( X0 != multiply(sk_c8,sk_c7)
    | sk_c6 != multiply(sk_c8,sk_c7)
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_2256]) ).

cnf(c_3506,plain,
    ( sk_c6 != multiply(sk_c8,sk_c7)
    | sk_c8 != multiply(sk_c8,sk_c7)
    | sk_c8 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3505]) ).

cnf(c_3524,plain,
    ( sk_c8 = identity
    | sk_c4 = sk_c5 ),
    inference(superposition,[status(thm)],[c_2679,c_2604]) ).

cnf(c_3719,plain,
    ( multiply(sk_c8,sk_c2) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_66,c_1350]) ).

cnf(c_3741,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3719,c_56]) ).

cnf(c_3772,plain,
    ( multiply(sk_c4,sk_c8) = identity
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3741,c_1781]) ).

cnf(c_3926,plain,
    ( multiply(sk_c6,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_78,c_1354]) ).

cnf(c_3964,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3926,c_53]) ).

cnf(c_4009,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3964,c_1781]) ).

cnf(c_4010,plain,
    ( inverse(sk_c8) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3964,c_1787]) ).

cnf(c_4050,plain,
    ( multiply(sk_c6,sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_76,c_1355]) ).

cnf(c_4097,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_4050,c_51]) ).

cnf(c_4186,plain,
    ( inverse(sk_c8) = sk_c4
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_4097,c_1787]) ).

cnf(c_4354,plain,
    ( sk_c7 != identity
    | identity != identity
    | identity = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_4355,plain,
    ( multiply(identity,sk_c7) != sk_c7
    | identity != sk_c7
    | multiply(identity,sk_c7) = identity ),
    inference(instantiation,[status(thm)],[c_1854]) ).

cnf(c_4360,plain,
    ( multiply(sk_c4,sk_c8) != identity
    | identity != identity
    | identity = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_4362,plain,
    ( sk_c7 != multiply(sk_c4,sk_c8)
    | identity != multiply(sk_c4,sk_c8)
    | sk_c7 = identity ),
    inference(instantiation,[status(thm)],[c_1041]) ).

cnf(c_4363,plain,
    ( multiply(identity,sk_c7) != identity
    | identity != identity
    | identity = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_4366,plain,
    ( sk_c7 != multiply(identity,sk_c7)
    | identity != multiply(identity,sk_c7)
    | sk_c7 = identity ),
    inference(instantiation,[status(thm)],[c_1044]) ).

cnf(c_4377,plain,
    ( sk_c6 != identity
    | identity != identity
    | identity = sk_c6 ),
    inference(instantiation,[status(thm)],[c_2930]) ).

cnf(c_4435,plain,
    ( sk_c6 = sk_c7
    | sk_c4 = sk_c5 ),
    inference(superposition,[status(thm)],[c_4186,c_4010]) ).

cnf(c_4476,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP0_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_740,c_1753]) ).

cnf(c_5202,plain,
    ( multiply(sk_c4,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_4435,c_77]) ).

cnf(c_5310,plain,
    ( sk_c6 != sk_c8
    | sk_c8 != identity
    | ~ sP2_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_861,c_1753]) ).

cnf(c_6191,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2603,c_77]) ).

cnf(c_6192,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c6 = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2603,c_67]) ).

cnf(c_6733,plain,
    ( multiply(sk_c8,sk_c7) != X0
    | X1 != X0
    | X1 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_382]) ).

cnf(c_6734,plain,
    ( multiply(sk_c8,sk_c7) != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = multiply(sk_c8,sk_c7) ),
    inference(instantiation,[status(thm)],[c_6733]) ).

cnf(c_7950,plain,
    ( multiply(identity,sk_c7) != multiply(sk_c8,sk_c7)
    | sk_c6 != multiply(sk_c8,sk_c7)
    | multiply(identity,sk_c7) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3505]) ).

cnf(c_8283,plain,
    ( multiply(identity,sk_c7) != multiply(sk_c4,sk_c8)
    | identity != multiply(sk_c4,sk_c8)
    | multiply(identity,sk_c7) = identity ),
    inference(instantiation,[status(thm)],[c_3329]) ).

cnf(c_8378,plain,
    ( X0 != identity
    | sk_c7 != identity
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_8381,plain,
    ( sk_c8 != identity
    | sk_c7 != identity
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_8378]) ).

cnf(c_8535,plain,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | sk_c6 = identity
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3403,c_57]) ).

cnf(c_8538,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c6 = identity
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3403,c_67]) ).

cnf(c_8621,plain,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | sk_c8 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_3772,c_55]) ).

cnf(c_8624,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_3772,c_65]) ).

cnf(c_10040,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_4009,c_77]) ).

cnf(c_10713,plain,
    ( X0 != sk_c6
    | identity != sk_c6
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_1307]) ).

cnf(c_10714,plain,
    ( sk_c8 != sk_c6
    | identity != sk_c6
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_10713]) ).

cnf(c_10725,plain,
    ( multiply(sk_c4,sk_c8) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(sk_c4,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1310]) ).

cnf(c_10728,plain,
    ( sk_c6 != multiply(sk_c4,sk_c8)
    | sk_c7 != multiply(sk_c4,sk_c8)
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1050]) ).

cnf(c_10730,plain,
    ( multiply(identity,sk_c7) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1310]) ).

cnf(c_10734,plain,
    ( sk_c6 != multiply(identity,sk_c7)
    | sk_c7 != multiply(identity,sk_c7)
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1052]) ).

cnf(c_10742,plain,
    ( multiply(sk_c6,sk_c8) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = multiply(sk_c6,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1310]) ).

cnf(c_10743,plain,
    ( sk_c6 != multiply(sk_c6,sk_c8)
    | sk_c7 != multiply(sk_c6,sk_c8)
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1273]) ).

cnf(c_10963,plain,
    ( sk_c6 != X0
    | identity != X0
    | sk_c6 = identity ),
    inference(instantiation,[status(thm)],[c_1271]) ).

cnf(c_10969,plain,
    ( sk_c6 != sk_c8
    | identity != sk_c8
    | sk_c6 = identity ),
    inference(instantiation,[status(thm)],[c_10963]) ).

cnf(c_11292,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c8 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_6191,c_74,c_387,c_1305,c_1311,c_2250,c_2981,c_3506,c_4377,c_6191,c_6734,c_10714]) ).

cnf(c_11304,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_11292,c_1781]) ).

cnf(c_11360,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_6192,c_64,c_387,c_1305,c_1311,c_2250,c_3026,c_3506,c_4377,c_6192,c_6734,c_10714]) ).

cnf(c_11884,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_8538,c_8381,c_8624,c_11360]) ).

cnf(c_11892,plain,
    ( multiply(sk_c8,sk_c2) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c7
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_11884,c_1347]) ).

cnf(c_11988,plain,
    ( sk_c6 = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_10040,c_75,c_934,c_939,c_1311,c_5202,c_10725,c_10728]) ).

cnf(c_11989,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(renaming,[status(thm)],[c_11988]) ).

cnf(c_11994,plain,
    ( multiply(sk_c6,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_11989,c_1353]) ).

cnf(c_13756,plain,
    ( ~ sP0_iProver_split
    | multiply(sk_c8,sk_c2) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_727,c_56,c_727]) ).

cnf(c_13936,plain,
    ( sk_c6 != sk_c6
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_817,c_1787]) ).

cnf(c_13937,plain,
    ( sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_13936]) ).

cnf(c_14031,plain,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_11304,c_72]) ).

cnf(c_14032,plain,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_11304,c_70]) ).

cnf(c_14033,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_11304,c_69]) ).

cnf(c_14139,plain,
    ( multiply(sk_c4,sk_c8) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_3524,c_14031]) ).

cnf(c_14142,plain,
    ( sk_c6 = identity
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_14031,c_2603]) ).

cnf(c_14145,plain,
    ( inverse(sk_c5) != sk_c8
    | ~ sP2_iProver_split
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_14031,c_378]) ).

cnf(c_14232,plain,
    ( sk_c8 = identity
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_14032,c_2678]) ).

cnf(c_14236,plain,
    ( inverse(sk_c4) != sk_c8
    | ~ sP0_iProver_split
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_14032,c_376]) ).

cnf(c_14310,plain,
    ( ~ sP2_iProver_split
    | sk_c8 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_14145,c_862,c_1810,c_14142]) ).

cnf(c_14316,plain,
    ( sk_c6 != sk_c8
    | ~ sP2_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_5310,c_14310]) ).

cnf(c_14319,plain,
    ( ~ sP0_iProver_split
    | sk_c8 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_14236,c_741,c_1810,c_14232]) ).

cnf(c_14325,plain,
    ( sk_c8 != sk_c7
    | ~ sP0_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4476,c_14319]) ).

cnf(c_14755,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_14325,c_387,c_741,c_934,c_940,c_941,c_1058,c_1269,c_1305,c_1319,c_1810,c_2824,c_3772,c_4360,c_4363,c_4366,c_8283,c_11892,c_13756,c_14325]) ).

cnf(c_14910,plain,
    ( multiply(sk_c8,identity) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_14232,c_14033]) ).

cnf(c_15365,plain,
    ( sk_c6 != identity
    | sk_c8 != multiply(identity,sk_c7)
    | multiply(sk_c6,sk_c8) = multiply(identity,multiply(identity,sk_c7)) ),
    inference(instantiation,[status(thm)],[c_2632]) ).

cnf(c_16613,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_16699,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_16613,c_80]) ).

cnf(c_16728,plain,
    ( multiply(inverse(sk_c3),sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_73,c_16699]) ).

cnf(c_17184,plain,
    ( multiply(sk_c6,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_78,c_16728]) ).

cnf(c_17218,plain,
    ( inverse(sk_c6) != sk_c8
    | ~ sP2_iProver_split
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_17184,c_378]) ).

cnf(c_18391,plain,
    ( sk_c6 = sk_c7
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_14139,c_14032]) ).

cnf(c_18430,plain,
    sk_c6 = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_18391,c_49,c_934,c_940,c_941,c_1054,c_1305,c_1311,c_1874,c_2250,c_2931,c_7950,c_10730,c_10734,c_10742,c_10743,c_11994,c_18391]) ).

cnf(c_18493,plain,
    ( multiply(sk_c4,sk_c8) = identity
    | sk_c6 = sk_c8 ),
    inference(demodulation,[status(thm)],[c_3772,c_18430]) ).

cnf(c_18529,plain,
    ( sk_c6 != sk_c8
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_2231,c_18430]) ).

cnf(c_19502,plain,
    ( sk_c6 = identity
    | sk_c8 = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_8535,c_387,c_934,c_939,c_1058,c_1269,c_1305,c_1319,c_2931,c_4360,c_4362,c_8381,c_8621,c_10969,c_11892,c_14142,c_18493]) ).

cnf(c_19504,plain,
    ( sk_c6 = sk_c8
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_19502,c_18430]) ).

cnf(c_19524,plain,
    ( ~ sP2_iProver_split
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_19504,c_14316]) ).

cnf(c_20054,plain,
    ~ sP2_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_17218,c_862,c_1810,c_19524]) ).

cnf(c_20539,plain,
    ( multiply(identity,sk_c7) != identity
    | X0 != identity
    | X0 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1068]) ).

cnf(c_20540,plain,
    ( multiply(identity,sk_c7) != identity
    | sk_c8 != identity
    | sk_c8 = multiply(identity,sk_c7) ),
    inference(instantiation,[status(thm)],[c_20539]) ).

cnf(c_21692,plain,
    ( sk_c6 = sk_c8
    | sk_c8 = identity ),
    inference(demodulation,[status(thm)],[c_14910,c_1745]) ).

cnf(c_21720,plain,
    sk_c8 = identity,
    inference(superposition,[status(thm)],[c_21692,c_14142]) ).

cnf(c_21748,plain,
    ~ sP1_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_13937,c_21720]) ).

cnf(c_21773,plain,
    sk_c6 = identity,
    inference(demodulation,[status(thm)],[c_19504,c_21720]) ).

cnf(c_21799,plain,
    ( sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_18529,c_21720]) ).

cnf(c_22121,plain,
    ~ sP3_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_21799,c_21773]) ).

cnf(c_22122,plain,
    sk_c7 = identity,
    inference(demodulation,[status(thm)],[c_18430,c_21773]) ).

cnf(c_22446,plain,
    multiply(sk_c8,sk_c7) != sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_1088,c_380,c_934,c_940,c_941,c_1065,c_1066,c_1277,c_1305,c_4354,c_4355,c_14755,c_15365,c_20054,c_20540,c_22121,c_21748,c_22122,c_21773,c_21720]) ).

cnf(c_22448,plain,
    multiply(identity,identity) != identity,
    inference(light_normalisation,[status(thm)],[c_22446,c_21720,c_21773,c_22122]) ).

cnf(c_22449,plain,
    identity != identity,
    inference(demodulation,[status(thm)],[c_22448,c_80]) ).

cnf(c_22450,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_22449]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Aug 28 21:20:40 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.73/1.62  % SZS status Started for theBenchmark.p
% 7.73/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.62  
% 7.73/1.62  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.73/1.62  
% 7.73/1.62  ------  iProver source info
% 7.73/1.62  
% 7.73/1.62  git: date: 2023-05-31 18:12:56 +0000
% 7.73/1.62  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.73/1.62  git: non_committed_changes: false
% 7.73/1.62  git: last_make_outside_of_git: false
% 7.73/1.62  
% 7.73/1.62  ------ Parsing...successful
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.73/1.62  
% 7.73/1.62  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.73/1.62  
% 7.73/1.62  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.73/1.62  ------ Proving...
% 7.73/1.62  ------ Problem Properties 
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  clauses                                 38
% 7.73/1.62  conjectures                             35
% 7.73/1.62  EPR                                     0
% 7.73/1.62  Horn                                    7
% 7.73/1.62  unary                                   3
% 7.73/1.62  binary                                  30
% 7.73/1.62  lits                                    81
% 7.73/1.62  lits eq                                 73
% 7.73/1.62  fd_pure                                 0
% 7.73/1.62  fd_pseudo                               0
% 7.73/1.62  fd_cond                                 0
% 7.73/1.62  fd_pseudo_cond                          0
% 7.73/1.62  AC symbols                              0
% 7.73/1.62  
% 7.73/1.62  ------ Schedule dynamic 5 is on 
% 7.73/1.62  
% 7.73/1.62  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ 
% 7.73/1.62  Current options:
% 7.73/1.62  ------ 
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  ------ Proving...
% 7.73/1.62  
% 7.73/1.62  
% 7.73/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 7.73/1.62  
% 7.73/1.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.73/1.62  
% 7.73/1.63  
%------------------------------------------------------------------------------