TSTP Solution File: MSC008-1.002 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:39:14 EDT 2023

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   15
% Syntax   : Number of clauses     :  102 (  13 unt;  41 nHn;  78 RR)
%            Number of literals    :  259 (   0 equ; 121 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :  159 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(greek_element_is_unique,axiom,
    ( eq(X3,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_element_is_unique) ).

cnf(greek_column_required,axiom,
    ( greek(X1,p_1,X2)
    | greek(X1,p_2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_column_required) ).

cnf(latin_element_is_unique,axiom,
    ( eq(X3,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_element_is_unique) ).

cnf(latin_column_required,axiom,
    ( latin(X1,p_1,X2)
    | latin(X1,p_2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_column_required) ).

cnf(greek_row_required,axiom,
    ( greek(p_1,X1,X2)
    | greek(p_2,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_row_required) ).

cnf(latin_row_required,axiom,
    ( latin(p_1,X1,X2)
    | latin(p_2,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_row_required) ).

cnf(p_1_is_not_p_2,axiom,
    ~ eq(p_1,p_2),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',p_1_is_not_p_2) ).

cnf(greek_row_is_unique,axiom,
    ( eq(X1,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_row_is_unique) ).

cnf(latin_row_is_unique,axiom,
    ( eq(X1,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_row_is_unique) ).

cnf(symmetry,axiom,
    ( eq(X2,X1)
    | ~ eq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',symmetry) ).

cnf(no_two_same1,negated_conjecture,
    ( eq(X2,X6)
    | ~ greek(X1,X2,X3)
    | ~ latin(X1,X2,X4)
    | ~ greek(X5,X6,X3)
    | ~ latin(X5,X6,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',no_two_same1) ).

cnf(greek_cell_element,axiom,
    ( greek(X1,X2,p_1)
    | greek(X1,X2,p_2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_cell_element) ).

cnf(latin_column_is_unique,axiom,
    ( eq(X2,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_column_is_unique) ).

cnf(latin_cell_element,axiom,
    ( latin(X1,X2,p_1)
    | latin(X1,X2,p_2) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',latin_cell_element) ).

cnf(greek_column_is_unique,axiom,
    ( eq(X2,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p',greek_column_is_unique) ).

cnf(c_0_15,axiom,
    ( eq(X3,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X1,X2,X4) ),
    greek_element_is_unique ).

cnf(c_0_16,axiom,
    ( greek(X1,p_1,X2)
    | greek(X1,p_2,X2) ),
    greek_column_required ).

cnf(c_0_17,axiom,
    ( eq(X3,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X1,X2,X4) ),
    latin_element_is_unique ).

cnf(c_0_18,axiom,
    ( latin(X1,p_1,X2)
    | latin(X1,p_2,X2) ),
    latin_column_required ).

cnf(c_0_19,plain,
    ( greek(X1,p_1,X2)
    | eq(X3,X2)
    | ~ greek(X1,p_2,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,axiom,
    ( greek(p_1,X1,X2)
    | greek(p_2,X1,X2) ),
    greek_row_required ).

cnf(c_0_21,plain,
    ( latin(X1,p_1,X2)
    | eq(X3,X2)
    | ~ latin(X1,p_2,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,axiom,
    ( latin(p_1,X1,X2)
    | latin(p_2,X1,X2) ),
    latin_row_required ).

cnf(c_0_23,axiom,
    ~ eq(p_1,p_2),
    p_1_is_not_p_2 ).

cnf(c_0_24,plain,
    ( greek(p_1,p_2,X1)
    | greek(p_2,p_1,X2)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( latin(p_1,p_2,X1)
    | latin(p_2,p_1,X2)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,axiom,
    ( eq(X1,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X4,X2,X3) ),
    greek_row_is_unique ).

cnf(c_0_27,plain,
    ( greek(p_2,p_1,p_2)
    | greek(p_1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,axiom,
    ( eq(X1,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X4,X2,X3) ),
    latin_row_is_unique ).

cnf(c_0_29,plain,
    ( latin(p_2,p_1,p_2)
    | latin(p_1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_30,plain,
    ( greek(p_1,p_2,p_1)
    | eq(X1,p_2)
    | ~ greek(X1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( latin(p_1,p_2,p_1)
    | eq(X1,p_2)
    | ~ latin(X1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( greek(p_1,p_2,p_1)
    | ~ greek(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_30]) ).

cnf(c_0_33,plain,
    ( latin(p_1,p_2,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_31]) ).

cnf(c_0_34,axiom,
    ( eq(X2,X1)
    | ~ eq(X1,X2) ),
    symmetry ).

cnf(c_0_35,plain,
    ( eq(X1,p_1)
    | ~ greek(p_1,p_1,p_2)
    | ~ greek(X1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_36,plain,
    ( eq(X1,p_1)
    | ~ latin(p_1,p_1,p_2)
    | ~ latin(X1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( eq(X2,X6)
    | ~ greek(X1,X2,X3)
    | ~ latin(X1,X2,X4)
    | ~ greek(X5,X6,X3)
    | ~ latin(X5,X6,X4) ),
    no_two_same1 ).

cnf(c_0_38,plain,
    ( eq(p_1,X1)
    | ~ greek(p_1,p_1,p_2)
    | ~ greek(X1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    ( eq(p_1,X1)
    | ~ latin(p_1,p_1,p_2)
    | ~ latin(X1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( eq(X1,p_2)
    | ~ greek(p_1,p_1,p_2)
    | ~ greek(X2,X1,p_1)
    | ~ latin(p_1,p_2,X3)
    | ~ latin(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_32]) ).

cnf(c_0_41,plain,
    ( ~ greek(p_1,p_1,p_2)
    | ~ greek(p_2,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_38]) ).

cnf(c_0_42,plain,
    ( ~ latin(p_1,p_1,p_2)
    | ~ latin(p_2,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( eq(X1,p_2)
    | ~ greek(p_1,p_1,p_2)
    | ~ greek(X2,X1,p_1)
    | ~ latin(p_1,p_1,p_2)
    | ~ latin(X2,X1,p_1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_44,plain,
    ( greek(p_2,p_1,p_1)
    | ~ greek(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_16]) ).

cnf(c_0_45,plain,
    ( latin(p_2,p_1,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_18]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ greek(p_1,p_1,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_45]) ).

cnf(c_0_47,axiom,
    ( greek(X1,X2,p_1)
    | greek(X1,X2,p_2) ),
    greek_cell_element ).

cnf(c_0_48,negated_conjecture,
    ( greek(p_1,p_1,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    ( eq(X1,p_1)
    | ~ greek(X1,p_1,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_48]) ).

cnf(c_0_50,plain,
    ( greek(p_1,X1,X2)
    | eq(X3,X2)
    | ~ greek(p_2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_20]) ).

cnf(c_0_51,negated_conjecture,
    ( eq(p_1,X1)
    | ~ greek(X1,p_1,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_49]) ).

cnf(c_0_52,plain,
    ( greek(p_2,p_1,X1)
    | greek(p_1,p_2,X2)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_16]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ greek(p_2,p_1,p_1)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_51]) ).

cnf(c_0_54,plain,
    ( greek(p_1,p_2,p_2)
    | greek(p_2,p_1,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_52]) ).

cnf(c_0_55,plain,
    ( latin(p_1,X1,X2)
    | eq(X3,X2)
    | ~ latin(p_2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_22]) ).

cnf(c_0_56,negated_conjecture,
    ( greek(p_1,p_2,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( latin(p_2,p_1,X1)
    | latin(p_1,p_2,X2)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_18]) ).

cnf(c_0_58,negated_conjecture,
    ( eq(X1,p_1)
    | ~ greek(X1,p_2,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_56]) ).

cnf(c_0_59,plain,
    ( latin(p_1,p_2,p_2)
    | latin(p_2,p_1,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_57]) ).

cnf(c_0_60,axiom,
    ( eq(X2,X4)
    | ~ latin(X1,X2,X3)
    | ~ latin(X1,X4,X3) ),
    latin_column_is_unique ).

cnf(c_0_61,axiom,
    ( latin(X1,X2,p_1)
    | latin(X1,X2,p_2) ),
    latin_cell_element ).

cnf(c_0_62,negated_conjecture,
    ( eq(p_1,X1)
    | ~ greek(X1,p_2,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_58]) ).

cnf(c_0_63,plain,
    ( latin(p_1,p_2,p_2)
    | eq(X1,p_2)
    | ~ latin(X1,p_1,p_1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_59]) ).

cnf(c_0_64,plain,
    ( latin(X1,X2,p_1)
    | eq(X3,X2)
    | ~ latin(X1,X3,p_2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( greek(X1,p_1,X2)
    | eq(X3,p_2)
    | ~ greek(X4,X3,X2)
    | ~ latin(X1,p_2,X5)
    | ~ latin(X4,X3,X5) ),
    inference(spm,[status(thm)],[c_0_37,c_0_16]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ greek(p_2,p_2,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_62]) ).

cnf(c_0_67,plain,
    ( latin(p_1,p_2,p_2)
    | ~ latin(p_1,p_1,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_63]) ).

cnf(c_0_68,plain,
    ( latin(p_1,p_2,p_2)
    | eq(X1,p_1)
    | ~ latin(p_2,X1,p_1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_59]) ).

cnf(c_0_69,plain,
    ( latin(p_1,X1,p_2)
    | latin(p_2,X2,p_1)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_22]) ).

cnf(c_0_70,negated_conjecture,
    ( greek(p_1,p_1,X1)
    | eq(X2,p_2)
    | ~ greek(X3,X2,X1)
    | ~ latin(p_1,p_1,p_2)
    | ~ latin(X3,X2,p_1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_33]) ).

cnf(c_0_71,negated_conjecture,
    ( greek(p_2,p_1,p_2)
    | ~ latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_16]) ).

cnf(c_0_72,plain,
    ( eq(X1,p_1)
    | ~ latin(p_1,p_1,p_1)
    | ~ latin(X1,p_2,p_2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_67]) ).

cnf(c_0_73,plain,
    ( latin(p_1,p_2,p_2)
    | eq(p_1,X1)
    | ~ latin(p_2,X1,p_1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_68]) ).

cnf(c_0_74,plain,
    ( latin(p_2,p_2,p_1)
    | latin(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ~ latin(p_1,p_1,p_2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_23]),c_0_45]),c_0_46]) ).

cnf(c_0_76,plain,
    ( eq(p_1,X1)
    | ~ latin(p_1,p_1,p_1)
    | ~ latin(X1,p_2,p_2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_72]) ).

cnf(c_0_77,axiom,
    ( eq(X2,X4)
    | ~ greek(X1,X2,X3)
    | ~ greek(X1,X4,X3) ),
    greek_column_is_unique ).

cnf(c_0_78,plain,
    ( latin(p_1,p_2,p_2)
    | ~ latin(p_2,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_73]) ).

cnf(c_0_79,plain,
    latin(p_2,p_2,p_1),
    inference(sr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    ( ~ latin(p_1,p_1,p_1)
    | ~ latin(p_2,p_2,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_76]) ).

cnf(c_0_81,plain,
    ( greek(X1,X2,p_1)
    | eq(X3,X2)
    | ~ greek(X1,X3,p_2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_47]) ).

cnf(c_0_82,plain,
    latin(p_1,p_2,p_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).

cnf(c_0_83,plain,
    ( latin(p_2,p_1,p_2)
    | ~ latin(p_1,p_1,p_1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_18]) ).

cnf(c_0_84,negated_conjecture,
    latin(p_1,p_1,p_1),
    inference(spm,[status(thm)],[c_0_75,c_0_61]) ).

cnf(c_0_85,plain,
    ( greek(p_1,p_2,p_2)
    | eq(X1,p_1)
    | ~ greek(p_2,X1,p_1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_54]) ).

cnf(c_0_86,plain,
    ( greek(p_1,X1,p_2)
    | greek(p_2,X2,p_1)
    | eq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_20]) ).

cnf(c_0_87,negated_conjecture,
    ( eq(X1,p_2)
    | ~ greek(p_1,p_1,p_2)
    | ~ greek(X2,X1,p_1)
    | ~ latin(X2,X1,p_2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_82]) ).

cnf(c_0_88,plain,
    latin(p_2,p_1,p_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).

cnf(c_0_89,plain,
    ( greek(p_1,p_2,p_2)
    | eq(p_1,X1)
    | ~ greek(p_2,X1,p_1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_85]) ).

cnf(c_0_90,plain,
    ( greek(p_2,p_2,p_1)
    | greek(p_1,p_1,p_2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_86]) ).

cnf(c_0_91,negated_conjecture,
    ~ greek(p_1,p_1,p_2),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_44]),c_0_88])]),c_0_23]) ).

cnf(c_0_92,plain,
    ( eq(X1,p_2)
    | ~ latin(p_1,p_1,p_1)
    | ~ latin(p_1,p_2,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_67]) ).

cnf(c_0_93,negated_conjecture,
    ( greek(p_1,X1,X2)
    | eq(X3,X1)
    | ~ greek(X4,X3,X2)
    | ~ latin(p_2,X1,X5)
    | ~ latin(X4,X3,X5) ),
    inference(spm,[status(thm)],[c_0_37,c_0_20]) ).

cnf(c_0_94,plain,
    ( greek(p_1,p_2,p_2)
    | ~ greek(p_2,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_89]) ).

cnf(c_0_95,plain,
    greek(p_2,p_2,p_1),
    inference(sr,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_96,plain,
    ( ~ latin(p_1,p_1,p_1)
    | ~ latin(p_1,p_2,p_1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_92]) ).

cnf(c_0_97,negated_conjecture,
    ( greek(p_1,p_1,X1)
    | latin(p_1,p_2,p_1)
    | eq(X2,p_1)
    | ~ greek(X3,X2,X1)
    | ~ latin(X3,X2,p_2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_29]) ).

cnf(c_0_98,plain,
    greek(p_1,p_2,p_2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).

cnf(c_0_99,plain,
    ~ latin(p_1,p_2,p_1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_84])]) ).

cnf(c_0_100,negated_conjecture,
    eq(p_2,p_1),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_82])]),c_0_91]),c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_100]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 2400
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Oct  2 11:15:15 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.zpkhqVIVzZ/E---3.1_31203.p
% 0.20/0.55  # Version: 3.1pre001
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55  # Starting sh5l with 300s (1) cores
% 0.20/0.55  # new_bool_1 with pid 31326 completed with status 0
% 0.20/0.55  # Result found by new_bool_1
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.20/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.55  # SAT001_MinMin_p005000_rr_RG with pid 31332 completed with status 0
% 0.20/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.55  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.20/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.55  # Preprocessing time       : 0.001 s
% 0.20/0.55  # Presaturation interreduction done
% 0.20/0.55  
% 0.20/0.55  # Proof found!
% 0.20/0.55  # SZS status Unsatisfiable
% 0.20/0.55  # SZS output start CNFRefutation
% See solution above
% 0.20/0.55  # Parsed axioms                        : 17
% 0.20/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.55  # Initial clauses                      : 17
% 0.20/0.55  # Removed in clause preprocessing      : 0
% 0.20/0.55  # Initial clauses in saturation        : 17
% 0.20/0.55  # Processed clauses                    : 844
% 0.20/0.55  # ...of these trivial                  : 6
% 0.20/0.55  # ...subsumed                          : 390
% 0.20/0.55  # ...remaining for further processing  : 448
% 0.20/0.55  # Other redundant clauses eliminated   : 0
% 0.20/0.55  # Clauses deleted for lack of memory   : 0
% 0.20/0.55  # Backward-subsumed                    : 128
% 0.20/0.55  # Backward-rewritten                   : 114
% 0.20/0.55  # Generated clauses                    : 2467
% 0.20/0.55  # ...of the previous two non-redundant : 2206
% 0.20/0.55  # ...aggressively subsumed             : 0
% 0.20/0.55  # Contextual simplify-reflections      : 3
% 0.20/0.55  # Paramodulations                      : 2425
% 0.20/0.55  # Factorizations                       : 24
% 0.20/0.55  # NegExts                              : 0
% 0.20/0.55  # Equation resolutions                 : 0
% 0.20/0.55  # Total rewrite steps                  : 461
% 0.20/0.55  # Propositional unsat checks           : 0
% 0.20/0.55  #    Propositional check models        : 0
% 0.20/0.55  #    Propositional check unsatisfiable : 0
% 0.20/0.55  #    Propositional clauses             : 0
% 0.20/0.55  #    Propositional clauses after purity: 0
% 0.20/0.55  #    Propositional unsat core size     : 0
% 0.20/0.55  #    Propositional preprocessing time  : 0.000
% 0.20/0.55  #    Propositional encoding time       : 0.000
% 0.20/0.55  #    Propositional solver time         : 0.000
% 0.20/0.55  #    Success case prop preproc time    : 0.000
% 0.20/0.55  #    Success case prop encoding time   : 0.000
% 0.20/0.55  #    Success case prop solver time     : 0.000
% 0.20/0.55  # Current number of processed clauses  : 171
% 0.20/0.55  #    Positive orientable unit clauses  : 9
% 0.20/0.55  #    Positive unorientable unit clauses: 0
% 0.20/0.55  #    Negative unit clauses             : 9
% 0.20/0.55  #    Non-unit-clauses                  : 153
% 0.20/0.55  # Current number of unprocessed clauses: 1390
% 0.20/0.55  # ...number of literals in the above   : 6377
% 0.20/0.55  # Current number of archived formulas  : 0
% 0.20/0.55  # Current number of archived clauses   : 277
% 0.20/0.55  # Clause-clause subsumption calls (NU) : 15345
% 0.20/0.55  # Rec. Clause-clause subsumption calls : 9492
% 0.20/0.55  # Non-unit clause-clause subsumptions  : 396
% 0.20/0.55  # Unit Clause-clause subsumption calls : 500
% 0.20/0.55  # Rewrite failures with RHS unbound    : 0
% 0.20/0.55  # BW rewrite match attempts            : 26
% 0.20/0.55  # BW rewrite match successes           : 6
% 0.20/0.55  # Condensation attempts                : 0
% 0.20/0.55  # Condensation successes               : 0
% 0.20/0.55  # Termbank termtop insertions          : 34192
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.068 s
% 0.20/0.55  # System time              : 0.004 s
% 0.20/0.55  # Total time               : 0.072 s
% 0.20/0.55  # Maximum resident set size: 1636 pages
% 0.20/0.55  
% 0.20/0.55  # -------------------------------------------------
% 0.20/0.55  # User time                : 0.069 s
% 0.20/0.55  # System time              : 0.006 s
% 0.20/0.55  # Total time               : 0.075 s
% 0.20/0.55  # Maximum resident set size: 1684 pages
% 0.20/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------