TSTP Solution File: TOP051-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 20:51:19 EDT 2023

% Result   : Unsatisfiable 0.13s 0.42s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  117 ( 117 unt;   0 nHn;  98 RR)
%            Number of literals    :  117 ( 116 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-10 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(involutory_quandle_01,axiom,
    product(product(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',involutory_quandle_01) ).

cnf(knot_05,axiom,
    product(a4,a10) = a5,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_05) ).

cnf(involutory_quandle_02,axiom,
    product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',involutory_quandle_02) ).

cnf(knot_10,axiom,
    product(a9,a4) = a10,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_10) ).

cnf(knot_09,axiom,
    product(a8,a6) = a9,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_09) ).

cnf(knot_03,axiom,
    product(a2,a7) = a3,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_03) ).

cnf(knot_11,axiom,
    product(a10,a5) = a11,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_11) ).

cnf(involutory_quandle,axiom,
    product(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',involutory_quandle) ).

cnf(knot_07,axiom,
    product(a6,a2) = a7,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_07) ).

cnf(knot_08,axiom,
    product(a7,a3) = a8,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_08) ).

cnf(knot_06,axiom,
    product(a5,a9) = a6,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_06) ).

cnf(knot,axiom,
    product(a1,a6) = a2,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot) ).

cnf(knot_04,axiom,
    product(a3,a1) = a4,
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',knot_04) ).

cnf(goal,negated_conjecture,
    tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
    file('/export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p',goal) ).

cnf(c_0_14,axiom,
    product(product(X1,X2),X2) = X1,
    involutory_quandle_01 ).

cnf(c_0_15,axiom,
    product(a4,a10) = a5,
    knot_05 ).

cnf(c_0_16,axiom,
    product(product(X1,X2),X3) = product(product(X1,X3),product(X2,X3)),
    involutory_quandle_02 ).

cnf(c_0_17,plain,
    product(a5,a10) = a4,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    product(a9,a4) = a10,
    knot_10 ).

cnf(c_0_19,axiom,
    product(a8,a6) = a9,
    knot_09 ).

cnf(c_0_20,axiom,
    product(a2,a7) = a3,
    knot_03 ).

cnf(c_0_21,axiom,
    product(a10,a5) = a11,
    knot_11 ).

cnf(c_0_22,plain,
    product(product(X1,a5),a10) = product(product(X1,a10),a4),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,axiom,
    product(X1,X1) = X1,
    involutory_quandle ).

cnf(c_0_24,plain,
    product(a10,a4) = a9,
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_25,plain,
    product(a9,a6) = a8,
    inference(spm,[status(thm)],[c_0_14,c_0_19]) ).

cnf(c_0_26,plain,
    product(a3,a7) = a2,
    inference(spm,[status(thm)],[c_0_14,c_0_20]) ).

cnf(c_0_27,axiom,
    product(a6,a2) = a7,
    knot_07 ).

cnf(c_0_28,plain,
    product(product(X1,a5),a11) = product(product(X1,a10),a5),
    inference(spm,[status(thm)],[c_0_16,c_0_21]) ).

cnf(c_0_29,plain,
    product(a11,a5) = a10,
    inference(spm,[status(thm)],[c_0_14,c_0_21]) ).

cnf(c_0_30,plain,
    product(a11,a10) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_23]),c_0_24]) ).

cnf(c_0_31,axiom,
    product(a7,a3) = a8,
    knot_08 ).

cnf(c_0_32,axiom,
    product(a5,a9) = a6,
    knot_06 ).

cnf(c_0_33,plain,
    product(product(X1,a9),a6) = product(product(X1,a6),a8),
    inference(spm,[status(thm)],[c_0_16,c_0_25]) ).

cnf(c_0_34,plain,
    product(product(X1,a3),a7) = product(product(X1,a7),a2),
    inference(spm,[status(thm)],[c_0_16,c_0_26]) ).

cnf(c_0_35,plain,
    product(a7,a2) = a6,
    inference(spm,[status(thm)],[c_0_14,c_0_27]) ).

cnf(c_0_36,plain,
    product(a9,a5) = product(a10,a11),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_37,plain,
    product(a9,a10) = a11,
    inference(spm,[status(thm)],[c_0_14,c_0_30]) ).

cnf(c_0_38,plain,
    product(a8,a3) = a7,
    inference(spm,[status(thm)],[c_0_14,c_0_31]) ).

cnf(c_0_39,plain,
    product(product(X1,a5),a9) = product(product(X1,a6),a8),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_32]),c_0_33]) ).

cnf(c_0_40,axiom,
    product(a1,a6) = a2,
    knot ).

cnf(c_0_41,plain,
    product(a8,a7) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_23]),c_0_35]) ).

cnf(c_0_42,plain,
    product(product(a10,a11),a5) = a9,
    inference(spm,[status(thm)],[c_0_14,c_0_36]) ).

cnf(c_0_43,plain,
    product(product(a10,a11),a10) = product(a11,a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_37]) ).

cnf(c_0_44,plain,
    product(product(X1,a8),a3) = product(product(X1,a3),a7),
    inference(spm,[status(thm)],[c_0_16,c_0_38]) ).

cnf(c_0_45,plain,
    product(product(a10,a6),a8) = product(a11,a9),
    inference(spm,[status(thm)],[c_0_39,c_0_21]) ).

cnf(c_0_46,axiom,
    product(a3,a1) = a4,
    knot_04 ).

cnf(c_0_47,plain,
    product(a2,a6) = a1,
    inference(spm,[status(thm)],[c_0_14,c_0_40]) ).

cnf(c_0_48,plain,
    product(product(X1,a7),a2) = product(product(X1,a2),a6),
    inference(spm,[status(thm)],[c_0_16,c_0_35]) ).

cnf(c_0_49,plain,
    product(a6,a7) = a8,
    inference(spm,[status(thm)],[c_0_14,c_0_41]) ).

cnf(c_0_50,plain,
    product(product(a11,a4),a5) = product(a9,a11),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_42]),c_0_43]) ).

cnf(c_0_51,plain,
    product(product(a11,a4),a10) = product(a10,a11),
    inference(spm,[status(thm)],[c_0_14,c_0_43]) ).

cnf(c_0_52,plain,
    product(product(X1,a9),a4) = product(product(X1,a4),a10),
    inference(spm,[status(thm)],[c_0_16,c_0_18]) ).

cnf(c_0_53,plain,
    product(product(a10,a11),a9) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_25]),c_0_23]) ).

cnf(c_0_54,plain,
    product(product(product(a10,a6),a3),a7) = product(product(a11,a9),a3),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_55,plain,
    product(a4,a1) = a3,
    inference(spm,[status(thm)],[c_0_14,c_0_46]) ).

cnf(c_0_56,plain,
    product(product(X1,a2),a6) = product(product(X1,a6),a1),
    inference(spm,[status(thm)],[c_0_16,c_0_47]) ).

cnf(c_0_57,plain,
    product(a8,a2) = product(a7,a6),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27]) ).

cnf(c_0_58,plain,
    product(product(a9,a11),a10) = product(product(a10,a11),a4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_50]),c_0_51]) ).

cnf(c_0_59,plain,
    product(product(product(a10,a11),a4),a10) = product(a8,a4),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    product(product(product(a10,a6),a7),a2) = product(product(a11,a9),a3),
    inference(rw,[status(thm)],[c_0_54,c_0_34]) ).

cnf(c_0_61,plain,
    product(product(X1,a1),a3) = product(product(X1,a4),a1),
    inference(spm,[status(thm)],[c_0_16,c_0_55]) ).

cnf(c_0_62,plain,
    product(a9,a1) = a7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_14]),c_0_19]) ).

cnf(c_0_63,plain,
    product(product(a9,a11),a5) = product(a11,a4),
    inference(spm,[status(thm)],[c_0_14,c_0_50]) ).

cnf(c_0_64,plain,
    product(a8,a4) = product(a9,a11),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_58]),c_0_59]) ).

cnf(c_0_65,plain,
    product(product(product(a10,a6),a2),a6) = product(product(a11,a9),a3),
    inference(rw,[status(thm)],[c_0_60,c_0_48]) ).

cnf(c_0_66,plain,
    product(a10,a1) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_31]),c_0_18]) ).

cnf(c_0_67,plain,
    product(product(product(a10,a11),a4),a5) = product(product(a11,a4),a11),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_63]),c_0_58]) ).

cnf(c_0_68,plain,
    product(product(a9,a11),a4) = a8,
    inference(spm,[status(thm)],[c_0_14,c_0_64]) ).

cnf(c_0_69,plain,
    product(product(a11,a9),a3) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_56]),c_0_14]),c_0_66]) ).

cnf(c_0_70,plain,
    product(product(product(a11,a4),a11),a10) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_67]),c_0_59]),c_0_64]),c_0_68]) ).

cnf(c_0_71,plain,
    product(product(a11,a6),a8) = product(a10,a9),
    inference(spm,[status(thm)],[c_0_39,c_0_29]) ).

cnf(c_0_72,plain,
    product(a11,a9) = a7,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_69]),c_0_38]) ).

cnf(c_0_73,plain,
    product(a7,a6) = product(a6,a1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_27]),c_0_23]) ).

cnf(c_0_74,plain,
    product(product(X1,a10),a4) = product(product(X1,a4),a9),
    inference(spm,[status(thm)],[c_0_16,c_0_24]) ).

cnf(c_0_75,plain,
    product(product(a11,a4),a11) = product(a8,a10),
    inference(spm,[status(thm)],[c_0_14,c_0_70]) ).

cnf(c_0_76,plain,
    product(product(product(a11,a6),a3),a7) = product(product(a10,a9),a3),
    inference(spm,[status(thm)],[c_0_44,c_0_71]) ).

cnf(c_0_77,plain,
    product(a10,a9) = product(a6,a1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_72]),c_0_73]),c_0_71]) ).

cnf(c_0_78,plain,
    product(product(X1,a1),a4) = product(product(X1,a3),a1),
    inference(spm,[status(thm)],[c_0_16,c_0_46]) ).

cnf(c_0_79,plain,
    product(product(a5,a4),a10) = product(a6,a4),
    inference(spm,[status(thm)],[c_0_52,c_0_32]) ).

cnf(c_0_80,plain,
    product(a5,a4) = product(a4,a9),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_15]),c_0_23]) ).

cnf(c_0_81,plain,
    product(product(product(a10,a11),a4),a5) = product(a8,a10),
    inference(rw,[status(thm)],[c_0_67,c_0_75]) ).

cnf(c_0_82,plain,
    product(a11,a4) = product(a10,a9),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_37]),c_0_18]) ).

cnf(c_0_83,plain,
    product(product(product(a11,a6),a7),a2) = product(product(a10,a9),a3),
    inference(rw,[status(thm)],[c_0_76,c_0_34]) ).

cnf(c_0_84,plain,
    product(product(a6,a3),a1) = a11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_77]),c_0_78]),c_0_24]),c_0_37]) ).

cnf(c_0_85,plain,
    product(product(X1,a10),a5) = product(product(X1,a4),a10),
    inference(spm,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_86,plain,
    product(product(a4,a9),a10) = product(a6,a4),
    inference(rw,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_87,plain,
    product(product(a8,a10),a5) = product(product(a10,a11),a4),
    inference(spm,[status(thm)],[c_0_14,c_0_81]) ).

cnf(c_0_88,plain,
    product(product(a10,a9),a10) = product(a10,a11),
    inference(rw,[status(thm)],[c_0_51,c_0_82]) ).

cnf(c_0_89,plain,
    product(product(product(a11,a6),a2),a6) = product(product(a10,a9),a3),
    inference(rw,[status(thm)],[c_0_83,c_0_48]) ).

cnf(c_0_90,plain,
    product(a11,a1) = product(a6,a3),
    inference(spm,[status(thm)],[c_0_14,c_0_84]) ).

cnf(c_0_91,plain,
    product(a5,a11) = product(a4,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_17]) ).

cnf(c_0_92,plain,
    product(a4,a5) = product(a6,a4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_17]),c_0_80]),c_0_86]) ).

cnf(c_0_93,plain,
    product(product(product(a10,a11),a4),a11) = product(a8,a5),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_87]),c_0_14]) ).

cnf(c_0_94,plain,
    product(product(a10,a11),a4) = product(a11,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_88]),c_0_52]),c_0_24]),c_0_37]) ).

cnf(c_0_95,plain,
    product(product(a6,a4),a1) = product(a6,a3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_56]),c_0_14]),c_0_77]),c_0_61]),c_0_90]) ).

cnf(c_0_96,plain,
    product(a5,a11) = product(a6,a4),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_97,plain,
    product(product(a11,a9),a11) = product(a8,a5),
    inference(rw,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    product(product(a6,a4),a5) = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_52]),c_0_23]),c_0_15]),c_0_17]) ).

cnf(c_0_99,plain,
    product(a6,a4) = a11,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_95]),c_0_84]) ).

cnf(c_0_100,plain,
    product(product(a6,a4),a11) = a5,
    inference(spm,[status(thm)],[c_0_14,c_0_96]) ).

cnf(c_0_101,plain,
    product(a8,a5) = product(a7,a11),
    inference(rw,[status(thm)],[c_0_97,c_0_72]) ).

cnf(c_0_102,plain,
    a10 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_29]) ).

cnf(c_0_103,plain,
    a11 = a5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_99]),c_0_23]) ).

cnf(c_0_104,plain,
    product(product(a7,a11),a5) = a8,
    inference(spm,[status(thm)],[c_0_14,c_0_101]) ).

cnf(c_0_105,plain,
    a8 = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_102]),c_0_55]) ).

cnf(c_0_106,plain,
    a7 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_103]),c_0_32]) ).

cnf(c_0_107,plain,
    product(a10,a11) = product(a7,a4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_72]),c_0_82]),c_0_88]) ).

cnf(c_0_108,plain,
    a3 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103]),c_0_14]),c_0_105]),c_0_106]) ).

cnf(c_0_109,plain,
    product(product(a7,a4),a5) = a9,
    inference(rw,[status(thm)],[c_0_42,c_0_107]) ).

cnf(c_0_110,plain,
    a5 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_102]),c_0_18]),c_0_102]),c_0_103]) ).

cnf(c_0_111,plain,
    a9 = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_102]),c_0_23]) ).

cnf(c_0_112,negated_conjecture,
    tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
    goal ).

cnf(c_0_113,plain,
    a1 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_106]),c_0_47]),c_0_108]) ).

cnf(c_0_114,plain,
    a4 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_14]),c_0_111]),c_0_106]) ).

cnf(c_0_115,plain,
    a2 = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_105]),c_0_26]) ).

cnf(c_0_116,negated_conjecture,
    $false,
    inference(cn,[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(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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_102]),c_0_102]),c_0_113]),c_0_110]),c_0_114]),c_0_115]),c_0_106]),c_0_108]),c_0_114]),c_0_111]),c_0_114]),c_0_114]),c_0_105]),c_0_108]),c_0_115]),c_0_106]),c_0_108]),c_0_105]),c_0_108]),c_0_114]),c_0_110]),c_0_114]),c_0_114]),c_0_103]),c_0_110]),c_0_114]),c_0_111]),c_0_114])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n029.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 19:32:36 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.tjO60TDTsz/E---3.1_2725.p
% 0.13/0.42  # Version: 3.1pre001
% 0.13/0.42  # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.13/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.13/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.42  # Starting sh5l with 300s (1) cores
% 0.13/0.42  # G----_0031_C18_F1_SE_CS_SP_S0Y with pid 2859 completed with status 0
% 0.13/0.42  # Result found by G----_0031_C18_F1_SE_CS_SP_S0Y
% 0.13/0.42  # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.13/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.13/0.42  # No SInE strategy applied
% 0.13/0.42  # Search class: FUUPS-FFSM33-SFFFFFNN
% 0.13/0.42  # partial match(1): FUUPS-FFSF33-SFFFFFNN
% 0.13/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.13/0.42  # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 0.13/0.42  # Starting new_bool_3 with 136s (1) cores
% 0.13/0.42  # Starting new_bool_1 with 136s (1) cores
% 0.13/0.42  # Starting sh5l with 136s (1) cores
% 0.13/0.42  # G----_0031_C18_F1_SE_CS_SP_S0Y with pid 2864 completed with status 0
% 0.13/0.42  # Result found by G----_0031_C18_F1_SE_CS_SP_S0Y
% 0.13/0.42  # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.13/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42  # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.13/0.42  # No SInE strategy applied
% 0.13/0.42  # Search class: FUUPS-FFSM33-SFFFFFNN
% 0.13/0.42  # partial match(1): FUUPS-FFSF33-SFFFFFNN
% 0.13/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.13/0.42  # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 0.13/0.42  # Preprocessing time       : 0.001 s
% 0.13/0.42  
% 0.13/0.42  # Proof found!
% 0.13/0.42  # SZS status Unsatisfiable
% 0.13/0.42  # SZS output start CNFRefutation
% See solution above
% 0.13/0.42  # Parsed axioms                        : 14
% 0.13/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.42  # Initial clauses                      : 14
% 0.13/0.42  # Removed in clause preprocessing      : 0
% 0.13/0.42  # Initial clauses in saturation        : 14
% 0.13/0.42  # Processed clauses                    : 457
% 0.13/0.42  # ...of these trivial                  : 181
% 0.13/0.42  # ...subsumed                          : 0
% 0.13/0.42  # ...remaining for further processing  : 275
% 0.13/0.42  # Other redundant clauses eliminated   : 0
% 0.13/0.42  # Clauses deleted for lack of memory   : 0
% 0.13/0.42  # Backward-subsumed                    : 0
% 0.13/0.42  # Backward-rewritten                   : 262
% 0.13/0.42  # Generated clauses                    : 1144
% 0.13/0.42  # ...of the previous two non-redundant : 1111
% 0.13/0.42  # ...aggressively subsumed             : 0
% 0.13/0.42  # Contextual simplify-reflections      : 0
% 0.13/0.42  # Paramodulations                      : 1144
% 0.13/0.42  # Factorizations                       : 0
% 0.13/0.42  # NegExts                              : 0
% 0.13/0.42  # Equation resolutions                 : 0
% 0.13/0.42  # Total rewrite steps                  : 2527
% 0.13/0.42  # Propositional unsat checks           : 0
% 0.13/0.42  #    Propositional check models        : 0
% 0.13/0.42  #    Propositional check unsatisfiable : 0
% 0.13/0.42  #    Propositional clauses             : 0
% 0.13/0.42  #    Propositional clauses after purity: 0
% 0.13/0.42  #    Propositional unsat core size     : 0
% 0.13/0.42  #    Propositional preprocessing time  : 0.000
% 0.13/0.42  #    Propositional encoding time       : 0.000
% 0.13/0.42  #    Propositional solver time         : 0.000
% 0.13/0.42  #    Success case prop preproc time    : 0.000
% 0.13/0.42  #    Success case prop encoding time   : 0.000
% 0.13/0.42  #    Success case prop solver time     : 0.000
% 0.13/0.42  # Current number of processed clauses  : 13
% 0.13/0.42  #    Positive orientable unit clauses  : 13
% 0.13/0.42  #    Positive unorientable unit clauses: 0
% 0.13/0.42  #    Negative unit clauses             : 0
% 0.13/0.42  #    Non-unit-clauses                  : 0
% 0.13/0.42  # Current number of unprocessed clauses: 567
% 0.13/0.42  # ...number of literals in the above   : 567
% 0.13/0.42  # Current number of archived formulas  : 0
% 0.13/0.42  # Current number of archived clauses   : 262
% 0.13/0.42  # Clause-clause subsumption calls (NU) : 0
% 0.13/0.42  # Rec. Clause-clause subsumption calls : 0
% 0.13/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.13/0.42  # Unit Clause-clause subsumption calls : 0
% 0.13/0.42  # Rewrite failures with RHS unbound    : 0
% 0.13/0.42  # BW rewrite match attempts            : 120
% 0.13/0.42  # BW rewrite match successes           : 61
% 0.13/0.42  # Condensation attempts                : 0
% 0.13/0.42  # Condensation successes               : 0
% 0.13/0.42  # Termbank termtop insertions          : 15610
% 0.13/0.42  
% 0.13/0.42  # -------------------------------------------------
% 0.13/0.42  # User time                : 0.012 s
% 0.13/0.42  # System time              : 0.002 s
% 0.13/0.42  # Total time               : 0.014 s
% 0.13/0.42  # Maximum resident set size: 1568 pages
% 0.13/0.42  
% 0.13/0.42  # -------------------------------------------------
% 0.13/0.42  # User time                : 0.065 s
% 0.13/0.42  # System time              : 0.006 s
% 0.13/0.42  # Total time               : 0.070 s
% 0.13/0.42  # Maximum resident set size: 1672 pages
% 0.13/0.42  % E---3.1 exiting
% 0.13/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------