TSTP Solution File: GRP344-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 00:59:26 EDT 2023

% Result   : Unsatisfiable 7.86s 1.65s
% Output   : CNFRefutation 7.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  231 (  57 unt;  84 nHn; 208 RR)
%            Number of literals    :  513 ( 439 equ; 218 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    4 (   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   :   90 (   0 sgn)

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

cnf(c_50,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | multiply(sk_c4,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c4) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | multiply(sk_c2,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c6) != sk_c5
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_68,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_69,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_74,plain,
    ( multiply(X3,sk_c6) != sk_c5
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_49,c_66]) ).

cnf(c_75,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | multiply(X1,sk_c5) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c6) != sk_c5
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c5 ),
    inference(renaming,[status(thm)],[c_74]) ).

cnf(c_247,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_75]) ).

cnf(c_248,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_75]) ).

cnf(c_249,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c5
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_75]) ).

cnf(c_250,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_75]) ).

cnf(c_251,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_75]) ).

cnf(c_252,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_253,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_258,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_252]) ).

cnf(c_471,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_58,c_247]) ).

cnf(c_472,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_54,c_247]) ).

cnf(c_473,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_50,c_247]) ).

cnf(c_477,plain,
    ( inverse(sk_c1) != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_56,c_247]) ).

cnf(c_480,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c7 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_68,c_247]) ).

cnf(c_522,plain,
    ( inverse(sk_c2) != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_64,c_248]) ).

cnf(c_523,plain,
    ( inverse(sk_c2) != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_63,c_248]) ).

cnf(c_553,plain,
    ( inverse(sk_c4) != sk_c5
    | ~ sP2_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_57,c_249]) ).

cnf(c_554,plain,
    ( inverse(sk_c4) != sk_c5
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_61,c_249]) ).

cnf(c_555,plain,
    ( inverse(sk_c4) != sk_c5
    | ~ sP2_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_53,c_249]) ).

cnf(c_558,plain,
    ( inverse(identity) != sk_c5
    | sk_c6 != sk_c5
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_67,c_249]) ).

cnf(c_596,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_599,plain,
    ( inverse(sk_c4) != sk_c5
    | sk_c6 != sk_c5
    | inverse(sk_c4) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_596]) ).

cnf(c_604,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_613,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP3_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_54,c_250]) ).

cnf(c_614,plain,
    ( inverse(sk_c3) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_50,c_250]) ).

cnf(c_618,plain,
    ( inverse(sk_c1) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_56,c_250]) ).

cnf(c_619,plain,
    ( inverse(sk_c1) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_55,c_250]) ).

cnf(c_655,plain,
    ( sk_c6 != X0
    | sk_c5 != X0
    | sk_c6 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_672,plain,
    multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_49,c_69]) ).

cnf(c_686,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_68,c_69]) ).

cnf(c_759,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | sk_c6 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_762,plain,
    ( inverse(sk_c3) != sk_c6
    | X0 != sk_c6
    | inverse(sk_c3) = X0 ),
    inference(instantiation,[status(thm)],[c_604]) ).

cnf(c_767,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_604]) ).

cnf(c_778,plain,
    ( X0 != X1
    | sk_c5 != X1
    | X0 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_801,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_686,c_67]) ).

cnf(c_806,plain,
    multiply(inverse(sk_c6),sk_c5) = sk_c7,
    inference(superposition,[status(thm)],[c_49,c_801]) ).

cnf(c_807,plain,
    ( multiply(inverse(sk_c3),sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_58,c_801]) ).

cnf(c_808,plain,
    ( multiply(inverse(sk_c3),sk_c7) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_54,c_801]) ).

cnf(c_811,plain,
    ( multiply(inverse(sk_c4),sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_61,c_801]) ).

cnf(c_817,plain,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_64,c_801]) ).

cnf(c_818,plain,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c5
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_63,c_801]) ).

cnf(c_819,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_67,c_801]) ).

cnf(c_820,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_68,c_801]) ).

cnf(c_827,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_801,c_801]) ).

cnf(c_869,plain,
    ( X0 != X1
    | sk_c5 != X1
    | sk_c5 = X0 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_882,plain,
    sk_c5 = sk_c5,
    inference(instantiation,[status(thm)],[c_252]) ).

cnf(c_885,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_759]) ).

cnf(c_941,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_947,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c6 != sk_c7
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_806,c_248]) ).

cnf(c_957,plain,
    ( inverse(inverse(identity)) != sk_c6
    | sk_c6 != sk_c7
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_819,c_247]) ).

cnf(c_1032,plain,
    ( inverse(identity) != sk_c6
    | sk_c6 != sk_c7
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_67,c_247]) ).

cnf(c_1067,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_820,c_827]) ).

cnf(c_1076,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1067,c_819]) ).

cnf(c_1136,plain,
    ( multiply(inverse(inverse(sk_c4)),sk_c6) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_811,c_801]) ).

cnf(c_1199,plain,
    ( X0 != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = X0 ),
    inference(instantiation,[status(thm)],[c_869]) ).

cnf(c_1200,plain,
    ( sk_c6 != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1199]) ).

cnf(c_1311,plain,
    ( multiply(sk_c6,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_60,c_817]) ).

cnf(c_1354,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | multiply(X0,X1) = X3 ),
    inference(instantiation,[status(thm)],[c_253]) ).

cnf(c_1374,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_827,c_68]) ).

cnf(c_1378,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_827,c_801]) ).

cnf(c_1379,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_827,c_1067]) ).

cnf(c_1380,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1379,c_1067]) ).

cnf(c_1405,plain,
    inverse(inverse(sk_c6)) = sk_c6,
    inference(instantiation,[status(thm)],[c_1380]) ).

cnf(c_1458,plain,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c5 ),
    inference(superposition,[status(thm)],[c_1311,c_801]) ).

cnf(c_1461,plain,
    ( inverse(sk_c4) = sk_c5
    | sk_c6 = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_1458,c_806]) ).

cnf(c_1488,plain,
    ( multiply(sk_c6,sk_c6) = sk_c5
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_59,c_818]) ).

cnf(c_1513,plain,
    ( inverse(sk_c4) != sk_c5
    | X0 != sk_c5
    | X0 = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_941]) ).

cnf(c_1532,plain,
    ( multiply(inverse(sk_c6),sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_1488,c_801]) ).

cnf(c_1535,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_1532,c_806]) ).

cnf(c_1685,plain,
    ( inverse(sk_c1) != sk_c7
    | X0 != sk_c7
    | inverse(sk_c1) = X0 ),
    inference(instantiation,[status(thm)],[c_604]) ).

cnf(c_1686,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c6 != sk_c7
    | inverse(sk_c1) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_596]) ).

cnf(c_1690,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_51,c_1374]) ).

cnf(c_1699,plain,
    multiply(sk_c5,inverse(sk_c7)) = multiply(sk_c6,identity),
    inference(superposition,[status(thm)],[c_1374,c_672]) ).

cnf(c_1733,plain,
    ( inverse(sk_c1) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_1690,c_50]) ).

cnf(c_1761,plain,
    ( inverse(X0) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_1199]) ).

cnf(c_1762,plain,
    ( inverse(X0) != inverse(X1)
    | sk_c5 != inverse(X1)
    | inverse(X0) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_767]) ).

cnf(c_1775,plain,
    ( multiply(sk_c1,sk_c7) = identity
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_1733,c_1374]) ).

cnf(c_1875,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_59,c_1380]) ).

cnf(c_1972,plain,
    ( inverse(sk_c5) = sk_c4
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_1461,c_1380]) ).

cnf(c_2017,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_1535,c_1374]) ).

cnf(c_2225,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_68,c_69]) ).

cnf(c_2311,plain,
    ( inverse(sk_c3) != sk_c6
    | inverse(sk_c4) != sk_c6
    | inverse(sk_c3) = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_2324,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6 ),
    inference(superposition,[status(thm)],[c_1875,c_807]) ).

cnf(c_2327,plain,
    ( multiply(sk_c3,sk_c6) = identity
    | inverse(sk_c6) = sk_c2 ),
    inference(superposition,[status(thm)],[c_1875,c_1374]) ).

cnf(c_2340,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6
    | sk_c6 = sk_c5 ),
    inference(light_normalisation,[status(thm)],[c_2324,c_49]) ).

cnf(c_2448,plain,
    ( inverse(X0) != X1
    | sk_c5 != X1
    | inverse(X0) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_778]) ).

cnf(c_2927,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2225,c_67]) ).

cnf(c_2945,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_67,c_2927]) ).

cnf(c_2946,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_68,c_2927]) ).

cnf(c_2953,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_2927,c_2927]) ).

cnf(c_2988,plain,
    multiply(sk_c5,inverse(sk_c7)) = sk_c6,
    inference(demodulation,[status(thm)],[c_1699,c_1067]) ).

cnf(c_2989,plain,
    multiply(inverse(sk_c5),sk_c6) = inverse(sk_c7),
    inference(superposition,[status(thm)],[c_2988,c_801]) ).

cnf(c_2991,plain,
    ( inverse(inverse(sk_c5)) != sk_c7
    | inverse(sk_c7) != sk_c7
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_2989,c_250]) ).

cnf(c_2992,plain,
    ( inverse(inverse(sk_c5)) != sk_c5
    | inverse(sk_c7) != sk_c5
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_2989,c_249]) ).

cnf(c_3000,plain,
    ( inverse(sk_c7) != sk_c5
    | ~ sP2_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2992,c_1380]) ).

cnf(c_3074,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_555,c_52,c_555]) ).

cnf(c_3080,plain,
    ( sk_c6 != sk_c5
    | sk_c5 != identity
    | ~ sP2_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_558,c_1076]) ).

cnf(c_3112,plain,
    ( sk_c6 != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c1) = sk_c7 ),
    inference(superposition,[status(thm)],[c_51,c_614]) ).

cnf(c_3120,plain,
    ( sk_c6 != sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_3112,c_52,c_51,c_251,c_473,c_555,c_947,c_1405,c_3112]) ).

cnf(c_3297,plain,
    ( multiply(sk_c4,sk_c6) = inverse(sk_c7)
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_1972,c_2989]) ).

cnf(c_3312,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_618,c_52,c_618]) ).

cnf(c_3318,plain,
    ( inverse(sk_c4) = sk_c5
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_251,c_3312]) ).

cnf(c_3323,plain,
    ( inverse(sk_c4) = sk_c5
    | sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_3318,c_60,c_52,c_477,c_522,c_1461,c_1686,c_3318]) ).

cnf(c_3331,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_619,c_51,c_619]) ).

cnf(c_3337,plain,
    ( inverse(sk_c3) = sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_251,c_3331]) ).

cnf(c_3431,plain,
    ( sk_c6 != inverse(sk_c3)
    | sk_c5 != inverse(sk_c3)
    | sk_c6 = sk_c5 ),
    inference(instantiation,[status(thm)],[c_655]) ).

cnf(c_3477,plain,
    ( inverse(sk_c4) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = inverse(sk_c4) ),
    inference(instantiation,[status(thm)],[c_1513]) ).

cnf(c_4040,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_2946,c_2953]) ).

cnf(c_4049,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_4040,c_2945]) ).

cnf(c_4795,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | inverse(sk_c1) != sk_c6
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_247]) ).

cnf(c_5670,plain,
    ( multiply(sk_c1,sk_c6) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = multiply(sk_c1,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1199]) ).

cnf(c_5680,plain,
    ( multiply(sk_c1,sk_c6) != X0
    | X1 != X0
    | multiply(sk_c1,sk_c6) = X1 ),
    inference(instantiation,[status(thm)],[c_1354]) ).

cnf(c_5881,plain,
    ( ~ sP0_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_472,c_55,c_472]) ).

cnf(c_6841,plain,
    ( sk_c6 != sk_c7
    | ~ sP0_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_1032,c_1686,c_3120,c_4795,c_5881]) ).

cnf(c_7032,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | inverse(sk_c1) != sk_c7
    | inverse(sk_c1) = multiply(sk_c1,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1685]) ).

cnf(c_8571,plain,
    ( ~ sP2_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_553,c_56,c_553]) ).

cnf(c_8696,plain,
    ( sk_c6 != sk_c7
    | ~ sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_947,c_947,c_1405]) ).

cnf(c_8704,plain,
    ( sk_c6 != sk_c7
    | ~ sP0_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_957,c_6841]) ).

cnf(c_9576,plain,
    ( inverse(sk_c6) = sk_c2
    | sk_c6 = sk_c5 ),
    inference(superposition,[status(thm)],[c_2340,c_1380]) ).

cnf(c_10069,plain,
    ( inverse(sk_c3) != sk_c5
    | sk_c5 != sk_c5
    | sk_c5 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1761]) ).

cnf(c_10228,plain,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | sk_c6 = sk_c5 ),
    inference(superposition,[status(thm)],[c_9576,c_806]) ).

cnf(c_10308,plain,
    ( inverse(X0) != inverse(sk_c4)
    | sk_c5 != inverse(sk_c4)
    | inverse(X0) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_1762]) ).

cnf(c_11414,plain,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | sk_c6 = sk_c7
    | sk_c6 = sk_c5 ),
    inference(superposition,[status(thm)],[c_10228,c_65]) ).

cnf(c_11554,plain,
    ( inverse(sk_c4) != sk_c5
    | ~ sP2_iProver_split
    | sk_c6 = sk_c7
    | sk_c6 = sk_c5 ),
    inference(superposition,[status(thm)],[c_11414,c_249]) ).

cnf(c_11741,plain,
    ( inverse(sk_c7) != sk_c7
    | sk_c7 != sk_c5
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_2991,c_1380]) ).

cnf(c_13164,plain,
    ( inverse(identity) != sk_c7
    | sk_c6 != sk_c7
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_67,c_250]) ).

cnf(c_13167,plain,
    ( sk_c6 != sk_c7
    | sk_c7 != identity
    | ~ sP3_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_13164,c_4049]) ).

cnf(c_14391,plain,
    ( inverse(sk_c1) != multiply(sk_c1,sk_c6)
    | sk_c5 != multiply(sk_c1,sk_c6)
    | inverse(sk_c1) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_2448]) ).

cnf(c_16863,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c2) = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2327,c_58]) ).

cnf(c_16928,plain,
    ( inverse(sk_c6) = sk_c2
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_16863,c_1380]) ).

cnf(c_16949,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_16928,c_1380]) ).

cnf(c_16969,plain,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_16928,c_806]) ).

cnf(c_17531,plain,
    ( multiply(sk_c1,sk_c6) != sk_c5
    | inverse(sk_c1) != sk_c5
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_249]) ).

cnf(c_17669,plain,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_16969,c_62]) ).

cnf(c_17699,plain,
    ( inverse(sk_c7) = sk_c5
    | sk_c6 = sk_c7
    | sk_c6 = sk_c5 ),
    inference(superposition,[status(thm)],[c_3297,c_11414]) ).

cnf(c_17701,plain,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6
    | sk_c6 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3297,c_61]) ).

cnf(c_17787,plain,
    ( sk_c6 = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_17669,c_2017]) ).

cnf(c_17799,plain,
    ( inverse(sk_c2) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_17701,c_60,c_59,c_251,c_471,c_554,c_947,c_1405,c_13167,c_16949,c_17701]) ).

cnf(c_17800,plain,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    inference(renaming,[status(thm)],[c_17799]) ).

cnf(c_17810,plain,
    ( inverse(sk_c6) = sk_c2
    | inverse(sk_c7) = sk_c5 ),
    inference(superposition,[status(thm)],[c_17800,c_1380]) ).

cnf(c_17813,plain,
    ( multiply(sk_c6,sk_c2) = identity
    | inverse(sk_c7) = sk_c5 ),
    inference(superposition,[status(thm)],[c_17800,c_68]) ).

cnf(c_18846,plain,
    ( ~ sP0_iProver_split
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_17787,c_8704]) ).

cnf(c_18847,plain,
    ( ~ sP1_iProver_split
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_17787,c_8696]) ).

cnf(c_18857,plain,
    ( multiply(sk_c1,sk_c6) = identity
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_17787,c_1775]) ).

cnf(c_19497,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_18846,c_480,c_1405,c_18846]) ).

cnf(c_19499,plain,
    ( sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_251,c_19497]) ).

cnf(c_19582,plain,
    ( ~ sP2_iProver_split
    | sk_c6 = sk_c7
    | sk_c6 = sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_11554,c_3000,c_17699]) ).

cnf(c_19728,plain,
    ( inverse(sk_c3) != inverse(sk_c4)
    | sk_c5 != inverse(sk_c4)
    | inverse(sk_c3) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_10308]) ).

cnf(c_21560,plain,
    ( multiply(sk_c1,sk_c6) != X0
    | sk_c5 != X0
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_5680]) ).

cnf(c_21561,plain,
    ( multiply(sk_c1,sk_c6) != sk_c6
    | sk_c5 != sk_c6
    | multiply(sk_c1,sk_c6) = sk_c5 ),
    inference(instantiation,[status(thm)],[c_21560]) ).

cnf(c_22079,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c6) = sk_c2 ),
    inference(superposition,[status(thm)],[c_17810,c_3000]) ).

cnf(c_22341,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_18857,c_55]) ).

cnf(c_22601,plain,
    ( sk_c6 != sk_c7
    | ~ sP3_iProver_split
    | multiply(sk_c1,sk_c6) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_22341,c_613]) ).

cnf(c_22602,plain,
    ( multiply(sk_c6,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c6) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_22341,c_808]) ).

cnf(c_22622,plain,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | sk_c6 = sk_c5
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_22602,c_49]) ).

cnf(c_22657,plain,
    ( multiply(sk_c1,sk_c6) = sk_c7
    | sk_c7 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_22622,c_56,c_251,c_553,c_17787,c_18847,c_19497,c_22601]) ).

cnf(c_22663,plain,
    sk_c7 = identity,
    inference(superposition,[status(thm)],[c_18857,c_22657]) ).

cnf(c_22681,plain,
    ( ~ sP2_iProver_split
    | sk_c6 = sk_c5
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_19582,c_22663]) ).

cnf(c_22684,plain,
    ( multiply(sk_c6,sk_c2) = identity
    | inverse(identity) = sk_c5 ),
    inference(demodulation,[status(thm)],[c_17813,c_22663]) ).

cnf(c_22718,plain,
    ( inverse(identity) != identity
    | sk_c5 != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_11741,c_22663]) ).

cnf(c_22754,plain,
    ( sk_c6 != identity
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_8696,c_22663]) ).

cnf(c_22814,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_1535,c_22663]) ).

cnf(c_22815,plain,
    ( inverse(sk_c4) = sk_c5
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_1461,c_22663]) ).

cnf(c_22838,plain,
    ( multiply(sk_c4,sk_c6) = sk_c5
    | inverse(sk_c1) = identity ),
    inference(demodulation,[status(thm)],[c_53,c_22663]) ).

cnf(c_22840,plain,
    ( inverse(sk_c1) = identity
    | inverse(sk_c4) = sk_c5 ),
    inference(demodulation,[status(thm)],[c_52,c_22663]) ).

cnf(c_22841,plain,
    ( inverse(sk_c1) = identity
    | inverse(sk_c3) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51,c_22663]) ).

cnf(c_22842,plain,
    multiply(sk_c6,identity) = sk_c5,
    inference(demodulation,[status(thm)],[c_49,c_22663]) ).

cnf(c_23168,plain,
    ( sk_c5 != identity
    | ~ sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22718,c_1076]) ).

cnf(c_23248,plain,
    ( multiply(sk_c6,sk_c2) = identity
    | sk_c5 = identity ),
    inference(light_normalisation,[status(thm)],[c_22684,c_1076]) ).

cnf(c_23327,plain,
    sk_c6 = sk_c5,
    inference(demodulation,[status(thm)],[c_22842,c_1067]) ).

cnf(c_23352,plain,
    ( inverse(sk_c4) = sk_c6
    | sP2_iProver_split ),
    inference(demodulation,[status(thm)],[c_3323,c_23327]) ).

cnf(c_23354,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(demodulation,[status(thm)],[c_3080,c_23327]) ).

cnf(c_23366,plain,
    ( multiply(X0,sk_c6) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_248,c_23327]) ).

cnf(c_23367,plain,
    ( multiply(sk_c4,sk_c6) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_65,c_23327]) ).

cnf(c_23368,plain,
    ( multiply(sk_c2,sk_c6) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_64,c_23327]) ).

cnf(c_23421,plain,
    ( sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_23354]) ).

cnf(c_23462,plain,
    inverse(sk_c4) = sk_c5,
    inference(global_subsumption_just,[status(thm)],[c_22840,c_60,c_480,c_522,c_1405,c_3318,c_18846,c_22815,c_23421]) ).

cnf(c_23464,plain,
    inverse(sk_c4) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_23462,c_23327]) ).

cnf(c_23466,plain,
    inverse(sk_c6) = sk_c4,
    inference(superposition,[status(thm)],[c_23464,c_1380]) ).

cnf(c_23467,plain,
    multiply(sk_c4,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_23464,c_1374]) ).

cnf(c_23469,plain,
    multiply(sk_c6,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_23464,c_68]) ).

cnf(c_23470,plain,
    ( ~ sP2_iProver_split
    | sk_c4 = sk_c2 ),
    inference(demodulation,[status(thm)],[c_22079,c_23466]) ).

cnf(c_23497,plain,
    inverse(sk_c3) = sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_22841,c_59,c_480,c_523,c_1405,c_3337,c_18846,c_22814,c_23421]) ).

cnf(c_23506,plain,
    inverse(sk_c6) = sk_c3,
    inference(superposition,[status(thm)],[c_23497,c_1380]) ).

cnf(c_23507,plain,
    multiply(sk_c3,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_23497,c_1374]) ).

cnf(c_23509,plain,
    multiply(sk_c6,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_23497,c_68]) ).

cnf(c_23512,plain,
    ( inverse(sk_c2) = sk_c6
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_1136,c_23327,c_23464,c_23506,c_23507]) ).

cnf(c_23521,plain,
    ( multiply(sk_c6,sk_c2) = identity
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_23512,c_68]) ).

cnf(c_23535,plain,
    multiply(inverse(sk_c6),identity) = sk_c4,
    inference(superposition,[status(thm)],[c_23469,c_801]) ).

cnf(c_23537,plain,
    multiply(sk_c3,identity) = sk_c4,
    inference(light_normalisation,[status(thm)],[c_23535,c_23506]) ).

cnf(c_23539,plain,
    multiply(inverse(sk_c6),identity) = sk_c3,
    inference(superposition,[status(thm)],[c_23509,c_801]) ).

cnf(c_23541,plain,
    sk_c3 = sk_c4,
    inference(light_normalisation,[status(thm)],[c_23539,c_23506,c_23537]) ).

cnf(c_23562,plain,
    ( inverse(sk_c1) = identity
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_22838,c_23327,c_23467]) ).

cnf(c_23567,plain,
    ( multiply(sk_c1,multiply(identity,X0)) = X0
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_23562,c_1378]) ).

cnf(c_23581,plain,
    ( multiply(sk_c1,X0) = X0
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_23567,c_67]) ).

cnf(c_23584,plain,
    ( multiply(sk_c1,sk_c6) = sk_c6
    | sk_c6 = identity ),
    inference(instantiation,[status(thm)],[c_23581]) ).

cnf(c_23586,plain,
    inverse(sk_c4) = sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_23368,c_60,c_480,c_522,c_599,c_1405,c_3318,c_18846,c_22815,c_22681,c_23352,c_23421]) ).

cnf(c_23591,plain,
    multiply(sk_c6,sk_c2) = identity,
    inference(global_subsumption_just,[status(thm)],[c_23521,c_60,c_59,c_258,c_251,c_480,c_523,c_522,c_599,c_882,c_885,c_1200,c_1405,c_2311,c_3074,c_3318,c_3337,c_3431,c_3477,c_5670,c_7032,c_8571,c_10069,c_14391,c_17531,c_18846,c_19728,c_21561,c_23168,c_22754,c_22815,c_22814,c_23248,c_22681,c_23352,c_23421,c_23521,c_23584]) ).

cnf(c_23593,plain,
    multiply(inverse(sk_c6),identity) = sk_c2,
    inference(superposition,[status(thm)],[c_23591,c_801]) ).

cnf(c_23595,plain,
    sk_c3 = sk_c2,
    inference(light_normalisation,[status(thm)],[c_23593,c_23506,c_23537,c_23541]) ).

cnf(c_23607,plain,
    ~ sP2_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_23470,c_258,c_882,c_885,c_1200,c_2311,c_3074,c_3431,c_3477,c_5670,c_7032,c_8571,c_10069,c_14391,c_17531,c_19728,c_21561,c_23421,c_23462,c_23497,c_23584,c_23586]) ).

cnf(c_23609,plain,
    ( sP1_iProver_split
    | sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_19499,c_23607]) ).

cnf(c_23628,plain,
    sk_c6 = identity,
    inference(light_normalisation,[status(thm)],[c_23367,c_23467,c_23507,c_23595]) ).

cnf(c_23634,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm)],[c_23327,c_23628]) ).

cnf(c_23642,plain,
    ( inverse(X0) != sk_c6
    | multiply(X0,sk_c6) != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_23366,c_23168,c_23366,c_23609,c_23634]) ).

cnf(c_23643,plain,
    ( multiply(X0,sk_c6) != sk_c6
    | inverse(X0) != sk_c6 ),
    inference(renaming,[status(thm)],[c_23642]) ).

cnf(c_23645,plain,
    ( inverse(X0) != identity
    | X0 != identity ),
    inference(light_normalisation,[status(thm)],[c_23643,c_1067,c_23628]) ).

cnf(c_23648,plain,
    identity != identity,
    inference(superposition,[status(thm)],[c_1076,c_23645]) ).

cnf(c_23650,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_23648]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 19:40:50 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
% 7.86/1.65  % SZS status Started for theBenchmark.p
% 7.86/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.65  
% 7.86/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.86/1.65  
% 7.86/1.65  ------  iProver source info
% 7.86/1.65  
% 7.86/1.65  git: date: 2023-05-31 18:12:56 +0000
% 7.86/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.86/1.65  git: non_committed_changes: false
% 7.86/1.65  git: last_make_outside_of_git: false
% 7.86/1.65  
% 7.86/1.65  ------ Parsing...successful
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.86/1.65  
% 7.86/1.65  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.86/1.65  
% 7.86/1.65  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.86/1.65  ------ Proving...
% 7.86/1.65  ------ Problem Properties 
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  clauses                                 25
% 7.86/1.65  conjectures                             22
% 7.86/1.65  EPR                                     1
% 7.86/1.65  Horn                                    8
% 7.86/1.65  unary                                   4
% 7.86/1.65  binary                                  16
% 7.86/1.65  lits                                    52
% 7.86/1.65  lits eq                                 44
% 7.86/1.65  fd_pure                                 0
% 7.86/1.65  fd_pseudo                               0
% 7.86/1.65  fd_cond                                 0
% 7.86/1.65  fd_pseudo_cond                          0
% 7.86/1.65  AC symbols                              0
% 7.86/1.65  
% 7.86/1.65  ------ Schedule dynamic 5 is on 
% 7.86/1.65  
% 7.86/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  ------ 
% 7.86/1.65  Current options:
% 7.86/1.65  ------ 
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  ------ Proving...
% 7.86/1.65  
% 7.86/1.65  
% 7.86/1.65  % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.65  
% 7.86/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.65  
% 7.86/1.66  
%------------------------------------------------------------------------------