TSTP Solution File: GRP285-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:59:07 EDT 2023

% Result   : Unsatisfiable 1.48s 1.06s
% Output   : CNFRefutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   20
% Syntax   : Number of clauses     :  113 (  31 unt;  47 nHn;  97 RR)
%            Number of literals    :  247 ( 204 equ; 104 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   :   52 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_53,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | multiply(sk_c9,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c9) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | inverse(sk_c3) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c9,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c3) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c9,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c5,sk_c9) = sk_c6
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_77,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c8
    | multiply(X1,sk_c9) != sk_c7
    | multiply(X2,sk_c9) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c9) != X5
    | multiply(sk_c9,X5) != sk_c7
    | multiply(sk_c9,sk_c8) != sk_c7
    | inverse(X0) != sk_c9
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c7
    | inverse(X4) != sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_79,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_80,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c7
    | multiply(X1,sk_c9) != sk_c8
    | multiply(X2,sk_c9) != sk_c7
    | multiply(X3,sk_c9) != sk_c8
    | multiply(X4,sk_c7) != sk_c8
    | multiply(sk_c9,sk_c8) != sk_c7
    | inverse(X0) != sk_c9
    | inverse(X1) != sk_c9
    | inverse(X3) != sk_c9
    | inverse(X4) != sk_c7 ),
    inference(unflattening,[status(thm)],[c_77]) ).

cnf(c_358,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c7
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_81]) ).

cnf(c_359,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c8
    | inverse(X0) != sk_c9
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_81]) ).

cnf(c_360,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_81]) ).

cnf(c_361,negated_conjecture,
    ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c7
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_81]) ).

cnf(c_362,negated_conjecture,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_81]) ).

cnf(c_363,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_364,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_369,plain,
    sk_c9 = sk_c9,
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_889,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_364]) ).

cnf(c_890,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_889]) ).

cnf(c_891,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_897,plain,
    ( multiply(sk_c9,sk_c6) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = multiply(sk_c9,sk_c6) ),
    inference(instantiation,[status(thm)],[c_890]) ).

cnf(c_901,plain,
    ( X0 != X1
    | sk_c7 != X1
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_364]) ).

cnf(c_912,plain,
    ( inverse(sk_c4) != sk_c7
    | ~ sP2_iProver_split
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_65,c_360]) ).

cnf(c_914,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c8 != identity
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_79,c_360]) ).

cnf(c_944,plain,
    ( multiply(sk_c9,sk_c6) != sk_c7
    | inverse(sk_c5) != sk_c9
    | ~ sP3_iProver_split
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_68,c_361]) ).

cnf(c_957,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | inverse(inverse(sk_c9)) != sk_c9
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_79,c_361]) ).

cnf(c_1040,plain,
    ( X0 != multiply(sk_c9,sk_c6)
    | sk_c7 != multiply(sk_c9,sk_c6)
    | X0 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_901]) ).

cnf(c_1041,plain,
    ( sk_c9 != multiply(sk_c9,sk_c6)
    | sk_c7 != multiply(sk_c9,sk_c6)
    | sk_c9 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1040]) ).

cnf(c_1086,plain,
    ( multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
    | multiply(sk_c9,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_60,c_80]) ).

cnf(c_1098,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

cnf(c_1104,plain,
    ( multiply(X0,multiply(X1,sk_c9)) != sk_c7
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_358]) ).

cnf(c_1342,plain,
    ( multiply(X0,identity) != sk_c7
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_79,c_1104]) ).

cnf(c_1378,plain,
    ( multiply(sk_c9,sk_c6) != X0
    | X1 != X0
    | X1 = multiply(sk_c9,sk_c6) ),
    inference(instantiation,[status(thm)],[c_364]) ).

cnf(c_1379,plain,
    ( multiply(sk_c9,sk_c6) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(sk_c9,sk_c6) ),
    inference(instantiation,[status(thm)],[c_1378]) ).

cnf(c_1474,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1098,c_78]) ).

cnf(c_1482,plain,
    ( multiply(inverse(sk_c3),sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_63,c_1474]) ).

cnf(c_1491,plain,
    ( multiply(inverse(sk_c5),sk_c6) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_68,c_1474]) ).

cnf(c_1493,plain,
    ( multiply(inverse(sk_c1),sk_c8) = sk_c9
    | inverse(sk_c5) = sk_c9 ),
    inference(superposition,[status(thm)],[c_62,c_1474]) ).

cnf(c_1504,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_79,c_1474]) ).

cnf(c_1510,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1474,c_1474]) ).

cnf(c_1746,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_1504,c_1510]) ).

cnf(c_1747,plain,
    ( X0 != sk_c7
    | ~ sP0_iProver_split ),
    inference(demodulation,[status(thm)],[c_1342,c_1746]) ).

cnf(c_1781,plain,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_362,c_1747]) ).

cnf(c_1857,plain,
    ( multiply(sk_c9,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_64,c_1482]) ).

cnf(c_1874,plain,
    ( sk_c9 != sk_c7
    | inverse(sk_c1) = sk_c9
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_1857,c_1781]) ).

cnf(c_1973,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_1510,c_79]) ).

cnf(c_1977,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_1510,c_1474]) ).

cnf(c_1978,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1510,c_1746]) ).

cnf(c_1979,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1978,c_1746]) ).

cnf(c_1997,plain,
    inverse(inverse(sk_c9)) = sk_c9,
    inference(instantiation,[status(thm)],[c_1979]) ).

cnf(c_2046,plain,
    ( multiply(sk_c3,sk_c9) = identity
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_64,c_1973]) ).

cnf(c_2048,plain,
    ( multiply(sk_c5,sk_c9) = identity
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_69,c_1973]) ).

cnf(c_2116,plain,
    ( inverse(inverse(sk_c9)) != sk_c9
    | sk_c9 != sk_c7
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_1977,c_361]) ).

cnf(c_2128,plain,
    ( sk_c9 != sk_c7
    | ~ sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2116,c_1979]) ).

cnf(c_2394,plain,
    ( inverse(sk_c1) = sk_c9
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_2046,c_63]) ).

cnf(c_2500,plain,
    ( inverse(sk_c5) != sk_c9
    | sk_c8 != identity
    | ~ sP1_iProver_split
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_2048,c_359]) ).

cnf(c_3120,plain,
    ( multiply(sk_c9,sk_c6) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(superposition,[status(thm)],[c_69,c_1491]) ).

cnf(c_3131,plain,
    inverse(sk_c1) = sk_c9,
    inference(global_subsumption_just,[status(thm)],[c_3120,c_69,c_66,c_67,c_369,c_891,c_897,c_912,c_944,c_1041,c_1379,c_1874,c_2394,c_2500,c_3120]) ).

cnf(c_3155,plain,
    multiply(sk_c1,multiply(sk_c9,X0)) = X0,
    inference(superposition,[status(thm)],[c_3131,c_1977]) ).

cnf(c_3156,plain,
    multiply(sk_c1,sk_c9) = identity,
    inference(superposition,[status(thm)],[c_3131,c_1973]) ).

cnf(c_3157,plain,
    inverse(sk_c9) = sk_c1,
    inference(superposition,[status(thm)],[c_3131,c_1979]) ).

cnf(c_3158,plain,
    multiply(sk_c9,multiply(sk_c1,X0)) = X0,
    inference(superposition,[status(thm)],[c_3131,c_1474]) ).

cnf(c_3163,plain,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | sk_c8 = identity ),
    inference(demodulation,[status(thm)],[c_56,c_3156]) ).

cnf(c_3166,plain,
    ( inverse(sk_c3) = sk_c9
    | sk_c8 = identity ),
    inference(demodulation,[status(thm)],[c_57,c_3156]) ).

cnf(c_3252,plain,
    ( inverse(sk_c9) = sk_c3
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_3166,c_1979]) ).

cnf(c_3255,plain,
    ( sk_c8 = identity
    | sk_c3 = sk_c1 ),
    inference(light_normalisation,[status(thm)],[c_3252,c_3157]) ).

cnf(c_3381,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | inverse(sk_c1) != sk_c9
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_3156,c_361]) ).

cnf(c_3382,plain,
    ( inverse(sk_c1) != sk_c9
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_3156,c_359]) ).

cnf(c_3387,plain,
    ( sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3382,c_3131]) ).

cnf(c_3390,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | ~ sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3381,c_3131]) ).

cnf(c_3401,plain,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(superposition,[status(thm)],[c_53,c_3155]) ).

cnf(c_3460,plain,
    ( multiply(sk_c9,sk_c8) = sk_c9
    | inverse(sk_c5) = sk_c9 ),
    inference(light_normalisation,[status(thm)],[c_1493,c_3131]) ).

cnf(c_3469,plain,
    ( inverse(sk_c5) = sk_c9
    | sk_c9 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3460,c_55]) ).

cnf(c_3488,plain,
    ( inverse(sk_c9) = sk_c5
    | sk_c9 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3469,c_1979]) ).

cnf(c_3491,plain,
    ( sk_c9 = sk_c7
    | sk_c5 = sk_c1 ),
    inference(light_normalisation,[status(thm)],[c_3488,c_3157]) ).

cnf(c_3746,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_3255,c_3163]) ).

cnf(c_3751,plain,
    sk_c8 = identity,
    inference(light_normalisation,[status(thm)],[c_3746,c_3156]) ).

cnf(c_3752,plain,
    ~ sP1_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_3387,c_3751]) ).

cnf(c_3758,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_1781,c_3751]) ).

cnf(c_3764,plain,
    ( multiply(sk_c9,identity) = sk_c7
    | multiply(sk_c5,sk_c9) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_54,c_3751]) ).

cnf(c_3765,plain,
    ( multiply(sk_c9,sk_c6) = sk_c7
    | multiply(sk_c9,identity) = sk_c7 ),
    inference(demodulation,[status(thm)],[c_53,c_3751]) ).

cnf(c_3768,plain,
    ( multiply(sk_c9,identity) = sk_c7
    | inverse(sk_c5) = sk_c9 ),
    inference(demodulation,[status(thm)],[c_55,c_3751]) ).

cnf(c_3799,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3758,c_3752]) ).

cnf(c_3852,plain,
    ( multiply(sk_c9,identity) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_3401,c_3751]) ).

cnf(c_3853,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c9 = sk_c7 ),
    inference(demodulation,[status(thm)],[c_3852,c_1746]) ).

cnf(c_3860,plain,
    ( multiply(sk_c9,sk_c6) = sk_c7
    | sk_c9 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3853,c_3158]) ).

cnf(c_3925,plain,
    ( multiply(sk_c5,sk_c9) = sk_c6
    | sk_c9 = sk_c7 ),
    inference(demodulation,[status(thm)],[c_3764,c_1746]) ).

cnf(c_3930,plain,
    ( multiply(sk_c1,sk_c9) = sk_c6
    | sk_c9 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3491,c_3925]) ).

cnf(c_3931,plain,
    ( multiply(sk_c9,sk_c6) != sk_c7
    | inverse(sk_c5) != sk_c9
    | ~ sP3_iProver_split
    | sk_c9 = sk_c7 ),
    inference(superposition,[status(thm)],[c_3925,c_361]) ).

cnf(c_3934,plain,
    ( sk_c9 = sk_c7
    | sk_c6 = identity ),
    inference(light_normalisation,[status(thm)],[c_3930,c_3156]) ).

cnf(c_3972,plain,
    ~ sP3_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_3390,c_957,c_1997,c_2128,c_3768,c_3765,c_3931]) ).

cnf(c_4012,plain,
    ( sP2_iProver_split
    | multiply(sk_c9,identity) != sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_3799,c_3799,c_3972]) ).

cnf(c_4013,plain,
    ( multiply(sk_c9,identity) != sk_c7
    | sP2_iProver_split ),
    inference(renaming,[status(thm)],[c_4012]) ).

cnf(c_4014,plain,
    ( sk_c9 != sk_c7
    | sP2_iProver_split ),
    inference(demodulation,[status(thm)],[c_4013,c_1746]) ).

cnf(c_4721,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | ~ sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_914,c_914,c_3751]) ).

cnf(c_4723,plain,
    ( sk_c7 != sk_c7
    | ~ sP2_iProver_split ),
    inference(demodulation,[status(thm)],[c_4721,c_1979]) ).

cnf(c_4724,plain,
    ~ sP2_iProver_split,
    inference(equality_resolution_simp,[status(thm)],[c_4723]) ).

cnf(c_4725,plain,
    sk_c9 != sk_c7,
    inference(backward_subsumption_resolution,[status(thm)],[c_4014,c_4724]) ).

cnf(c_4730,plain,
    sk_c6 = identity,
    inference(backward_subsumption_resolution,[status(thm)],[c_3934,c_4725]) ).

cnf(c_4898,plain,
    multiply(sk_c9,sk_c6) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_1086,c_3860,c_4725]) ).

cnf(c_4900,plain,
    multiply(sk_c9,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_4898,c_4730]) ).

cnf(c_4901,plain,
    sk_c9 = sk_c7,
    inference(demodulation,[status(thm)],[c_4900,c_1746]) ).

cnf(c_4902,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4901,c_4725]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n032.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
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Mon Aug 28 20:06:16 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.39  Running first-order theorem proving
% 0.15/0.39  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.48/1.06  % SZS status Started for theBenchmark.p
% 1.48/1.06  % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.06  
% 1.48/1.06  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.48/1.06  
% 1.48/1.06  ------  iProver source info
% 1.48/1.06  
% 1.48/1.06  git: date: 2023-05-31 18:12:56 +0000
% 1.48/1.06  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.48/1.06  git: non_committed_changes: false
% 1.48/1.06  git: last_make_outside_of_git: false
% 1.48/1.06  
% 1.48/1.06  ------ Parsing...successful
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.48/1.06  
% 1.48/1.06  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.48/1.06  
% 1.48/1.06  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 1.48/1.06  ------ Proving...
% 1.48/1.06  ------ Problem Properties 
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  clauses                                 36
% 1.48/1.06  conjectures                             33
% 1.48/1.06  EPR                                     0
% 1.48/1.06  Horn                                    7
% 1.48/1.06  unary                                   3
% 1.48/1.06  binary                                  29
% 1.48/1.06  lits                                    75
% 1.48/1.06  lits eq                                 67
% 1.48/1.06  fd_pure                                 0
% 1.48/1.06  fd_pseudo                               0
% 1.48/1.06  fd_cond                                 0
% 1.48/1.06  fd_pseudo_cond                          0
% 1.48/1.06  AC symbols                              0
% 1.48/1.06  
% 1.48/1.06  ------ Schedule dynamic 5 is on 
% 1.48/1.06  
% 1.48/1.06  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  ------ 
% 1.48/1.06  Current options:
% 1.48/1.06  ------ 
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  ------ Proving...
% 1.48/1.06  
% 1.48/1.06  
% 1.48/1.06  % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.06  
% 1.48/1.06  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.48/1.06  
% 1.48/1.07  
%------------------------------------------------------------------------------