TSTP Solution File: GRP707-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GRP707-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 : Mon May 20 20:58:56 EDT 2024

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  111 ( 111 unt;   0 nHn;   6 RR)
%            Number of literals    :  111 ( 110 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  201 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c05,axiom,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).

cnf(c07,axiom,
    mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

cnf(c06,axiom,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

cnf(c02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

cnf(c08,axiom,
    mult(X1,mult(X1,mult(X1,X1))) = unit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

cnf(c03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).

cnf(c09,axiom,
    mult(mult(X1,X1),X2) = mult(X2,mult(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

cnf(c01,axiom,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

cnf(c04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).

cnf(goals,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(c_0_10,axiom,
    mult(X1,unit) = X1,
    c05 ).

cnf(c_0_11,axiom,
    mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
    c07 ).

cnf(c_0_12,plain,
    mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_10]) ).

cnf(c_0_13,plain,
    mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    mult(unit,X1) = X1,
    c06 ).

cnf(c_0_15,axiom,
    ld(X1,mult(X1,X2)) = X2,
    c02 ).

cnf(c_0_16,axiom,
    mult(X1,mult(X1,mult(X1,X1))) = unit,
    c08 ).

cnf(c_0_17,axiom,
    mult(rd(X1,X2),X2) = X1,
    c03 ).

cnf(c_0_18,axiom,
    mult(mult(X1,X1),X2) = mult(X2,mult(X1,X1)),
    c09 ).

cnf(c_0_19,plain,
    mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).

cnf(c_0_20,plain,
    mult(X1,mult(X1,X1)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,axiom,
    mult(X1,ld(X1,X2)) = X2,
    c01 ).

cnf(c_0_22,plain,
    mult(mult(X1,X1),rd(X2,mult(X1,X1))) = X2,
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    mult(X1,mult(X1,mult(X1,mult(X1,X2)))) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_19]),c_0_20]),c_0_21]),c_0_14]),c_0_19]),c_0_19]) ).

cnf(c_0_24,plain,
    mult(X1,mult(X1,rd(X2,mult(X1,X1)))) = X2,
    inference(rw,[status(thm)],[c_0_22,c_0_19]) ).

cnf(c_0_25,plain,
    mult(X1,mult(X1,X2)) = rd(X2,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,axiom,
    rd(mult(X1,X2),X2) = X1,
    c04 ).

cnf(c_0_27,plain,
    ld(X1,rd(X2,mult(X1,X1))) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_25]) ).

cnf(c_0_28,plain,
    mult(mult(X1,X1),X2) = rd(X2,mult(X1,X1)),
    inference(rw,[status(thm)],[c_0_19,c_0_25]) ).

cnf(c_0_29,plain,
    rd(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_26,c_0_14]) ).

cnf(c_0_30,plain,
    rd(X1,unit) = X1,
    inference(spm,[status(thm)],[c_0_10,c_0_17]) ).

cnf(c_0_31,plain,
    mult(X1,mult(X1,X2)) = mult(X2,mult(X1,X1)),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_32,plain,
    rd(X1,mult(X2,X2)) = ld(mult(X2,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_19]),c_0_25]) ).

cnf(c_0_33,plain,
    ld(X1,mult(mult(X2,X2),X1)) = mult(X2,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_18]) ).

cnf(c_0_34,plain,
    mult(X1,mult(X2,X2)) = rd(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[c_0_31,c_0_25]) ).

cnf(c_0_35,plain,
    ld(X1,ld(mult(X1,X1),X2)) = mult(X1,X2),
    inference(rw,[status(thm)],[c_0_27,c_0_32]) ).

cnf(c_0_36,plain,
    ld(X1,mult(X2,mult(X2,X1))) = mult(X2,X2),
    inference(rw,[status(thm)],[c_0_33,c_0_19]) ).

cnf(c_0_37,plain,
    mult(mult(X1,X2),X2) = rd(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[c_0_12,c_0_34]) ).

cnf(c_0_38,plain,
    mult(X1,ld(mult(X1,X1),X2)) = ld(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_15]),c_0_19]),c_0_25]),c_0_32]) ).

cnf(c_0_39,plain,
    mult(rd(X1,mult(X2,X2)),X3) = mult(X1,rd(X3,mult(X2,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_25]),c_0_34]) ).

cnf(c_0_40,plain,
    rd(X1,mult(X1,X1)) = ld(X1,unit),
    inference(rw,[status(thm)],[c_0_20,c_0_25]) ).

cnf(c_0_41,plain,
    ld(X1,rd(X1,mult(X2,X2))) = mult(X2,X2),
    inference(rw,[status(thm)],[c_0_36,c_0_25]) ).

cnf(c_0_42,plain,
    mult(mult(X1,X2),X2) = ld(mult(X2,X2),X1),
    inference(rw,[status(thm)],[c_0_37,c_0_32]) ).

cnf(c_0_43,plain,
    ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_38]) ).

cnf(c_0_44,plain,
    mult(ld(mult(X1,X1),X2),X3) = mult(X2,ld(mult(X1,X1),X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_32]),c_0_32]) ).

cnf(c_0_45,plain,
    ld(mult(X1,X1),X1) = ld(X1,unit),
    inference(rw,[status(thm)],[c_0_40,c_0_32]) ).

cnf(c_0_46,plain,
    ld(rd(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

cnf(c_0_47,plain,
    rd(ld(X1,unit),mult(X1,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_40]),c_0_34]) ).

cnf(c_0_48,plain,
    ld(X1,ld(mult(X2,X2),X1)) = mult(X2,X2),
    inference(rw,[status(thm)],[c_0_41,c_0_32]) ).

cnf(c_0_49,plain,
    mult(mult(X1,X2),X2) = ld(X2,ld(X2,X1)),
    inference(rw,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    mult(ld(X1,unit),X2) = ld(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]) ).

cnf(c_0_51,plain,
    ld(X1,ld(X1,unit)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ld(mult(X1,X1),ld(X1,unit)) = X1,
    inference(rw,[status(thm)],[c_0_47,c_0_32]) ).

cnf(c_0_53,plain,
    ld(X1,ld(X2,ld(X2,X1))) = mult(X2,X2),
    inference(rw,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_54,plain,
    rd(ld(X1,ld(X1,X2)),X1) = mult(X2,X1),
    inference(spm,[status(thm)],[c_0_26,c_0_49]) ).

cnf(c_0_55,plain,
    ld(X1,ld(X1,ld(X1,X2))) = mult(X1,X2),
    inference(rw,[status(thm)],[c_0_35,c_0_43]) ).

cnf(c_0_56,plain,
    mult(ld(X1,ld(X1,X2)),X3) = mult(X2,ld(X1,ld(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_43]),c_0_43]) ).

cnf(c_0_57,plain,
    ld(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_58,plain,
    rd(ld(X1,X2),X2) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_26,c_0_50]) ).

cnf(c_0_59,plain,
    rd(X1,ld(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_26,c_0_21]) ).

cnf(c_0_60,plain,
    ld(ld(X1,unit),unit) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_51]),c_0_52]) ).

cnf(c_0_61,plain,
    ld(mult(X1,X2),ld(X1,X2)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_53,c_0_15]) ).

cnf(c_0_62,plain,
    ld(ld(X1,unit),X2) = mult(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_50]),c_0_51]),c_0_35]) ).

cnf(c_0_63,plain,
    mult(X1,ld(X2,unit)) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_15]),c_0_56]),c_0_57]) ).

cnf(c_0_64,plain,
    mult(X1,mult(X2,X2)) = ld(mult(X2,X2),X1),
    inference(rw,[status(thm)],[c_0_34,c_0_32]) ).

cnf(c_0_65,plain,
    rd(ld(X1,ld(X1,X2)),X2) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_43]),c_0_43]),c_0_51]) ).

cnf(c_0_66,plain,
    rd(unit,X1) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_67,plain,
    ld(ld(X1,X2),mult(X1,X2)) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_50]),c_0_50]),c_0_51]) ).

cnf(c_0_68,plain,
    ld(X1,rd(X1,X2)) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_15,c_0_63]) ).

cnf(c_0_69,plain,
    mult(X1,mult(X2,X2)) = ld(X2,ld(X2,X1)),
    inference(rw,[status(thm)],[c_0_64,c_0_43]) ).

cnf(c_0_70,plain,
    rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_65,c_0_55]) ).

cnf(c_0_71,plain,
    rd(X1,ld(X2,unit)) = mult(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_46]),c_0_66]) ).

cnf(c_0_72,plain,
    mult(X1,mult(X2,rd(X2,X1))) = mult(X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_62]) ).

cnf(c_0_73,plain,
    rd(X1,mult(X2,X1)) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_59,c_0_62]) ).

cnf(c_0_74,plain,
    rd(ld(X1,X2),mult(X1,X2)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_65,c_0_15]) ).

cnf(c_0_75,plain,
    ld(X1,ld(X1,ld(X2,unit))) = ld(X2,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_50,c_0_69]) ).

cnf(c_0_76,plain,
    mult(mult(X1,rd(X1,X2)),X2) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_68]),c_0_71]) ).

cnf(c_0_77,plain,
    mult(mult(X1,X2),rd(X2,X1)) = mult(X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63]) ).

cnf(c_0_78,plain,
    mult(ld(X1,mult(X2,X2)),X1) = mult(X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_21]),c_0_71]) ).

cnf(c_0_79,plain,
    mult(mult(X1,X2),ld(X2,X1)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_76,c_0_59]) ).

cnf(c_0_80,plain,
    ld(ld(X1,X2),unit) = ld(X2,X1),
    inference(spm,[status(thm)],[c_0_68,c_0_59]) ).

cnf(c_0_81,plain,
    ld(mult(X1,X2),mult(X2,X2)) = rd(X2,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_77]) ).

cnf(c_0_82,plain,
    ld(rd(X1,X2),unit) = rd(X2,X1),
    inference(spm,[status(thm)],[c_0_73,c_0_17]) ).

cnf(c_0_83,plain,
    mult(X1,rd(mult(X2,X2),X1)) = mult(X2,X2),
    inference(spm,[status(thm)],[c_0_78,c_0_46]) ).

cnf(c_0_84,plain,
    mult(mult(X1,mult(X2,X1)),X2) = mult(mult(X2,X1),mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_77,c_0_26]) ).

cnf(c_0_85,plain,
    mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_49]),c_0_56]),c_0_55]) ).

cnf(c_0_86,plain,
    ld(X1,ld(X1,mult(X2,X1))) = rd(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_43]) ).

cnf(c_0_87,plain,
    mult(ld(X1,X2),mult(X2,X1)) = mult(X2,X2),
    inference(spm,[status(thm)],[c_0_72,c_0_59]) ).

cnf(c_0_88,plain,
    rd(mult(X1,X1),X2) = ld(X2,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_15,c_0_83]) ).

cnf(c_0_89,plain,
    mult(mult(X1,mult(X2,X1)),X2) = mult(X2,mult(X1,mult(X2,X1))),
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,plain,
    mult(X1,mult(X2,X1)) = ld(X1,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_55,c_0_86]) ).

cnf(c_0_91,plain,
    mult(ld(X1,X2),X3) = ld(ld(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_62,c_0_80]) ).

cnf(c_0_92,plain,
    mult(X1,ld(X2,X3)) = rd(X1,ld(X3,X2)),
    inference(spm,[status(thm)],[c_0_63,c_0_80]) ).

cnf(c_0_93,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    inference(fof_simplification,[status(thm)],[goals]) ).

cnf(c_0_94,plain,
    ld(ld(X1,X2),mult(X2,X2)) = mult(X2,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_87]) ).

cnf(c_0_95,plain,
    ld(mult(X1,X2),unit) = ld(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_68,c_0_73]) ).

cnf(c_0_96,plain,
    ld(mult(X1,X2),mult(X1,X1)) = ld(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_87]),c_0_88]) ).

cnf(c_0_97,plain,
    rd(X1,ld(rd(X1,X2),X2)) = ld(ld(rd(X1,X2),X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_90]),c_0_92]) ).

cnf(c_0_98,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    c_0_93 ).

cnf(c_0_99,plain,
    mult(mult(X1,X2),X1) = rd(ld(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_54,c_0_15]) ).

cnf(c_0_100,plain,
    rd(mult(X1,X2),ld(X2,X1)) = ld(X1,ld(X2,rd(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_67]),c_0_85]),c_0_43]),c_0_15]),c_0_92]),c_0_90]) ).

cnf(c_0_101,plain,
    ld(ld(X1,X2),mult(X1,X1)) = ld(X2,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_61]),c_0_88]),c_0_95]) ).

cnf(c_0_102,plain,
    ld(ld(rd(X1,X2),X2),X1) = ld(ld(X1,X2),ld(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_96]),c_0_69]),c_0_15]),c_0_85]),c_0_90]),c_0_92]),c_0_97]) ).

cnf(c_0_103,plain,
    ld(mult(X1,X2),X1) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_46,c_0_71]) ).

cnf(c_0_104,negated_conjecture,
    mult(a,mult(b,a)) != rd(ld(a,b),a),
    inference(rw,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,plain,
    ld(ld(X1,rd(X2,X1)),ld(X2,unit)) = ld(ld(X2,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_61]),c_0_92]),c_0_100]),c_0_101]),c_0_85]),c_0_90]),c_0_92]),c_0_97]),c_0_102]) ).

cnf(c_0_106,plain,
    rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_71]),c_0_95]) ).

cnf(c_0_107,plain,
    ld(X1,ld(ld(X2,X1),ld(X1,X2))) = rd(ld(X2,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_103]),c_0_75]),c_0_99]),c_0_85]),c_0_90]),c_0_92]),c_0_97]),c_0_102]) ).

cnf(c_0_108,negated_conjecture,
    rd(ld(a,b),a) != ld(a,rd(b,a)),
    inference(rw,[status(thm)],[c_0_104,c_0_90]) ).

cnf(c_0_109,plain,
    rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_105]),c_0_106]),c_0_80]),c_0_107]) ).

cnf(c_0_110,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP707-1 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 05:49:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56  # Version: 3.1.0
% 0.19/0.56  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.56  # Starting sh5l with 300s (1) cores
% 0.19/0.56  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4303 completed with status 0
% 0.19/0.56  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.56  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.56  # No SInE strategy applied
% 0.19/0.56  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.19/0.56  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.56  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.19/0.56  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.56  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.56  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.56  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.19/0.56  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 4307 completed with status 0
% 0.19/0.56  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.19/0.56  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.56  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.56  # No SInE strategy applied
% 0.19/0.56  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.19/0.56  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.56  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.19/0.56  # Preprocessing time       : 0.001 s
% 0.19/0.56  # Presaturation interreduction done
% 0.19/0.56  
% 0.19/0.56  # Proof found!
% 0.19/0.56  # SZS status Unsatisfiable
% 0.19/0.56  # SZS output start CNFRefutation
% See solution above
% 0.19/0.56  # Parsed axioms                        : 10
% 0.19/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.56  # Initial clauses                      : 10
% 0.19/0.56  # Removed in clause preprocessing      : 0
% 0.19/0.56  # Initial clauses in saturation        : 10
% 0.19/0.56  # Processed clauses                    : 397
% 0.19/0.56  # ...of these trivial                  : 192
% 0.19/0.56  # ...subsumed                          : 5
% 0.19/0.56  # ...remaining for further processing  : 200
% 0.19/0.56  # Other redundant clauses eliminated   : 0
% 0.19/0.56  # Clauses deleted for lack of memory   : 0
% 0.19/0.56  # Backward-subsumed                    : 0
% 0.19/0.56  # Backward-rewritten                   : 84
% 0.19/0.56  # Generated clauses                    : 8372
% 0.19/0.56  # ...of the previous two non-redundant : 5044
% 0.19/0.56  # ...aggressively subsumed             : 0
% 0.19/0.56  # Contextual simplify-reflections      : 0
% 0.19/0.56  # Paramodulations                      : 8372
% 0.19/0.56  # Factorizations                       : 0
% 0.19/0.56  # NegExts                              : 0
% 0.19/0.56  # Equation resolutions                 : 0
% 0.19/0.56  # Disequality decompositions           : 0
% 0.19/0.56  # Total rewrite steps                  : 25752
% 0.19/0.56  # ...of those cached                   : 23658
% 0.19/0.56  # Propositional unsat checks           : 0
% 0.19/0.56  #    Propositional check models        : 0
% 0.19/0.56  #    Propositional check unsatisfiable : 0
% 0.19/0.56  #    Propositional clauses             : 0
% 0.19/0.56  #    Propositional clauses after purity: 0
% 0.19/0.56  #    Propositional unsat core size     : 0
% 0.19/0.56  #    Propositional preprocessing time  : 0.000
% 0.19/0.56  #    Propositional encoding time       : 0.000
% 0.19/0.56  #    Propositional solver time         : 0.000
% 0.19/0.56  #    Success case prop preproc time    : 0.000
% 0.19/0.56  #    Success case prop encoding time   : 0.000
% 0.19/0.56  #    Success case prop solver time     : 0.000
% 0.19/0.56  # Current number of processed clauses  : 106
% 0.19/0.56  #    Positive orientable unit clauses  : 104
% 0.19/0.56  #    Positive unorientable unit clauses: 2
% 0.19/0.56  #    Negative unit clauses             : 0
% 0.19/0.56  #    Non-unit-clauses                  : 0
% 0.19/0.56  # Current number of unprocessed clauses: 4255
% 0.19/0.56  # ...number of literals in the above   : 4255
% 0.19/0.56  # Current number of archived formulas  : 0
% 0.19/0.56  # Current number of archived clauses   : 94
% 0.19/0.56  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.56  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.56  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.56  # Unit Clause-clause subsumption calls : 5
% 0.19/0.56  # Rewrite failures with RHS unbound    : 0
% 0.19/0.56  # BW rewrite match attempts            : 255
% 0.19/0.56  # BW rewrite match successes           : 82
% 0.19/0.56  # Condensation attempts                : 0
% 0.19/0.56  # Condensation successes               : 0
% 0.19/0.56  # Termbank termtop insertions          : 85788
% 0.19/0.56  # Search garbage collected termcells   : 2
% 0.19/0.56  
% 0.19/0.56  # -------------------------------------------------
% 0.19/0.56  # User time                : 0.076 s
% 0.19/0.56  # System time              : 0.007 s
% 0.19/0.56  # Total time               : 0.083 s
% 0.19/0.56  # Maximum resident set size: 1552 pages
% 0.19/0.56  
% 0.19/0.56  # -------------------------------------------------
% 0.19/0.56  # User time                : 0.372 s
% 0.19/0.56  # System time              : 0.031 s
% 0.19/0.56  # Total time               : 0.404 s
% 0.19/0.56  # Maximum resident set size: 1684 pages
% 0.19/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------