TSTP Solution File: SET672+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET672+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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  : 600s
% DateTime : Tue Jul 19 00:13:21 EDT 2022

% Result   : Theorem 17.55s 3.80s
% Output   : CNFRefutation 17.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   92 (  18 unt;  13 nHn;  69 RR)
%            Number of literals    :  297 (   6 equ; 198 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-4 aty)
%            Number of variables   :  231 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
    ( relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_37) ).

cnf(i_0_53,plain,
    ilf_type(X1,set_type),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_53) ).

cnf(i_0_13,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_13) ).

cnf(i_0_52,plain,
    ( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_52) ).

cnf(i_0_17,plain,
    ( member(X1,X2)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X5,relation_type(X2,X3))
    | ~ member(ordered_pair(X1,X4),X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_17) ).

cnf(i_0_21,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_21) ).

cnf(i_0_6,plain,
    ( relation_like(cross_product(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_6) ).

cnf(i_0_51,plain,
    ( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_51) ).

cnf(i_0_10,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_10) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X4,X1),restrict(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_9) ).

cnf(i_0_20,plain,
    ( ilf_type(restrict(X1,X2),binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_20) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_2) ).

cnf(i_0_1,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_1) ).

cnf(i_0_55,negated_conjecture,
    ilf_type(esk15_0,relation_type(esk14_0,esk12_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_55) ).

cnf(i_0_5,plain,
    ( member(ordered_pair(X1,X2),X3)
    | ~ subset(X4,X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X4,binary_relation_type)
    | ~ member(ordered_pair(X1,X2),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_5) ).

cnf(i_0_34,plain,
    ( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
    | ~ relation_like(X1)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_34) ).

cnf(i_0_39,plain,
    ( member(X1,power_set(X2))
    | member(esk9_2(X1,X2),X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_39) ).

cnf(i_0_49,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_49) ).

cnf(i_0_25,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,member_type(power_set(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_25) ).

cnf(i_0_44,plain,
    ( empty(X1)
    | ilf_type(X2,member_type(X1))
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_44) ).

cnf(i_0_38,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(esk9_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_38) ).

cnf(i_0_14,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_14) ).

cnf(i_0_54,negated_conjecture,
    ~ ilf_type(restrict4(esk14_0,esk12_0,esk13_0,esk15_0),relation_type(esk14_0,esk13_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jwdu4_se/input.p',i_0_54) ).

cnf(c_0_79,plain,
    ( relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X3,X2))) ),
    i_0_37 ).

cnf(c_0_80,plain,
    ilf_type(X1,set_type),
    i_0_53 ).

cnf(c_0_81,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    i_0_13 ).

cnf(c_0_82,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80])]) ).

cnf(c_0_83,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_80]),c_0_80])]) ).

cnf(c_0_84,plain,
    ( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    i_0_52 ).

cnf(c_0_85,plain,
    ( member(X1,X2)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X5,relation_type(X2,X3))
    | ~ member(ordered_pair(X1,X4),X5) ),
    i_0_17 ).

cnf(c_0_86,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    i_0_21 ).

cnf(c_0_87,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,plain,
    ( ilf_type(restrict4(X1,X2,X3,X4),relation_type(X1,X2))
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_80]),c_0_80]),c_0_80])]) ).

cnf(c_0_89,plain,
    ( relation_like(cross_product(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_6 ).

cnf(c_0_90,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),X4)
    | ~ ilf_type(X4,relation_type(X2,X5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_80]),c_0_80]),c_0_80]),c_0_80])]) ).

cnf(c_0_91,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_80])]) ).

cnf(c_0_92,plain,
    ( relation_like(restrict4(X1,X2,X3,X4))
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_93,plain,
    ( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    i_0_51 ).

cnf(c_0_94,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_10 ).

cnf(c_0_95,plain,
    relation_like(cross_product(X1,X2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_80]),c_0_80])]) ).

cnf(c_0_96,plain,
    ( member(X1,X2)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X4,X1),restrict(X2,X3)) ),
    i_0_9 ).

cnf(c_0_97,plain,
    ( ilf_type(restrict(X1,X2),binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_20 ).

cnf(c_0_98,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),restrict4(X2,X4,X5,X6))
    | ~ ilf_type(X6,relation_type(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_88]) ).

cnf(c_0_99,plain,
    ( subset(X1,X2)
    | member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    i_0_2 ).

cnf(c_0_100,plain,
    ( ilf_type(restrict4(X1,X2,X3,X4),binary_relation_type)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,plain,
    ( restrict4(X1,X2,X3,X4) = restrict(X3,X4)
    | ~ ilf_type(X4,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_80]),c_0_80]),c_0_80])]) ).

cnf(c_0_102,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ member(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X2) ),
    i_0_1 ).

cnf(c_0_103,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_80]),c_0_80]),c_0_80]),c_0_80])]) ).

cnf(c_0_104,plain,
    ilf_type(cross_product(X1,X2),binary_relation_type),
    inference(spm,[status(thm)],[c_0_91,c_0_95]) ).

cnf(c_0_105,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),restrict(X2,X4))
    | ~ ilf_type(X4,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_80]),c_0_80]),c_0_80])]) ).

cnf(c_0_106,plain,
    ( ilf_type(restrict(X1,X2),binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_80])]) ).

cnf(c_0_107,plain,
    ( member(esk1_2(restrict4(X1,X2,X3,X4),X5),X1)
    | subset(restrict4(X1,X2,X3,X4),X5)
    | ~ ilf_type(X4,relation_type(X1,X2))
    | ~ ilf_type(X5,binary_relation_type) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_108,negated_conjecture,
    ilf_type(esk15_0,relation_type(esk14_0,esk12_0)),
    i_0_55 ).

cnf(c_0_109,plain,
    ( ilf_type(restrict(X1,X2),relation_type(X3,X4))
    | ~ ilf_type(X2,relation_type(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_101]) ).

cnf(c_0_110,plain,
    ( member(ordered_pair(X1,X2),X3)
    | ~ subset(X4,X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X4,binary_relation_type)
    | ~ member(ordered_pair(X1,X2),X4) ),
    i_0_5 ).

cnf(c_0_111,plain,
    ( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
    | ~ relation_like(X1)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    i_0_34 ).

cnf(c_0_112,plain,
    ( subset(X1,cross_product(X2,X3))
    | ~ member(esk2_2(X1,cross_product(X2,X3)),X3)
    | ~ member(esk1_2(X1,cross_product(X2,X3)),X2)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_113,plain,
    ( member(esk2_2(restrict(X1,X2),X3),X1)
    | subset(restrict(X1,X2),X3)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_99]),c_0_106]) ).

cnf(c_0_114,plain,
    ( member(esk1_2(restrict(X1,X2),X3),X4)
    | subset(restrict(X1,X2),X3)
    | ~ ilf_type(X2,relation_type(X4,X5))
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_107,c_0_101]) ).

cnf(c_0_115,negated_conjecture,
    relation_like(esk15_0),
    inference(spm,[status(thm)],[c_0_87,c_0_108]) ).

cnf(c_0_116,plain,
    ( relation_like(restrict(X1,X2))
    | ~ ilf_type(X2,relation_type(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_109]) ).

cnf(c_0_117,plain,
    ( member(ordered_pair(X1,X2),X3)
    | ~ member(ordered_pair(X1,X2),X4)
    | ~ subset(X4,X3)
    | ~ ilf_type(X4,binary_relation_type)
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_80]),c_0_80])]) ).

cnf(c_0_118,plain,
    ( ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)) = X2
    | ~ member(X2,X1)
    | ~ relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_80]),c_0_80])]) ).

cnf(c_0_119,plain,
    ( subset(restrict(X1,X2),cross_product(X3,X1))
    | ~ member(esk1_2(restrict(X1,X2),cross_product(X3,X1)),X3)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_104])]),c_0_106]) ).

cnf(c_0_120,negated_conjecture,
    ( member(esk1_2(restrict(X1,esk15_0),X2),esk14_0)
    | subset(restrict(X1,esk15_0),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_114,c_0_108]) ).

cnf(c_0_121,plain,
    ilf_type(esk15_0,binary_relation_type),
    inference(spm,[status(thm)],[c_0_91,c_0_115]) ).

cnf(c_0_122,negated_conjecture,
    relation_like(restrict(X1,esk15_0)),
    inference(spm,[status(thm)],[c_0_116,c_0_108]) ).

cnf(c_0_123,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ member(X1,X4)
    | ~ subset(X3,X2)
    | ~ relation_like(X4)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_124,plain,
    subset(restrict(X1,esk15_0),cross_product(esk14_0,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_104])]) ).

cnf(c_0_125,plain,
    ilf_type(restrict(X1,esk15_0),binary_relation_type),
    inference(spm,[status(thm)],[c_0_91,c_0_122]) ).

cnf(c_0_126,plain,
    ( member(X1,power_set(X2))
    | member(esk9_2(X1,X2),X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_39 ).

cnf(c_0_127,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    i_0_49 ).

cnf(c_0_128,plain,
    ( member(X1,cross_product(esk14_0,X2))
    | ~ member(X1,restrict(X2,esk15_0))
    | ~ member(X1,X3)
    | ~ relation_like(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_104])]) ).

cnf(c_0_129,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_80]),c_0_80])]) ).

cnf(c_0_130,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,member_type(power_set(X2))) ),
    i_0_25 ).

cnf(c_0_131,plain,
    ( empty(X1)
    | ilf_type(X2,member_type(X1))
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    i_0_44 ).

cnf(c_0_132,plain,
    ( ~ member(X1,X2)
    | ~ empty(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_80]),c_0_80])]) ).

cnf(c_0_133,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(esk9_2(X1,X2),X2) ),
    i_0_38 ).

cnf(c_0_134,plain,
    ( member(esk9_2(restrict(X1,esk15_0),X2),cross_product(esk14_0,X1))
    | member(restrict(X1,esk15_0),power_set(X2))
    | ~ member(esk9_2(restrict(X1,esk15_0),X2),X3)
    | ~ relation_like(X3) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_135,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X1,member_type(power_set(X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_80]),c_0_80])]) ).

cnf(c_0_136,plain,
    ( ilf_type(X1,member_type(X2))
    | ~ member(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_80]),c_0_80])]),c_0_132]) ).

cnf(c_0_137,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk9_2(X1,X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_80]),c_0_80])]) ).

cnf(c_0_138,plain,
    ( member(esk9_2(restrict(X1,esk15_0),X2),cross_product(esk14_0,X1))
    | member(restrict(X1,esk15_0),power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_122])]) ).

cnf(c_0_139,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    i_0_14 ).

cnf(c_0_140,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_141,plain,
    member(restrict(X1,esk15_0),power_set(cross_product(esk14_0,X1))),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,negated_conjecture,
    ~ ilf_type(restrict4(esk14_0,esk12_0,esk13_0,esk15_0),relation_type(esk14_0,esk13_0)),
    i_0_54 ).

cnf(c_0_143,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_80]),c_0_80])]) ).

cnf(c_0_144,plain,
    ilf_type(restrict(X1,esk15_0),subset_type(cross_product(esk14_0,X1))),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_145,negated_conjecture,
    ~ ilf_type(restrict(esk13_0,esk15_0),relation_type(esk14_0,esk13_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_101]),c_0_108])]) ).

cnf(c_0_146,plain,
    ilf_type(restrict(X1,esk15_0),relation_type(esk14_0,X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_147,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET672+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 13:39:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 17.55/3.80  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.55/3.80  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 41; version: 991; iters: 150)
% 17.55/3.80  # Preprocessing time       : 1.104 s
% 17.55/3.80  
% 17.55/3.80  # Proof found!
% 17.55/3.80  # SZS status Theorem
% 17.55/3.80  # SZS output start CNFRefutation
% See solution above
% 17.55/3.80  # Training examples: 0 positive, 0 negative
% 17.55/3.80  
% 17.55/3.80  # -------------------------------------------------
% 17.55/3.80  # User time                : 1.197 s
% 17.55/3.80  # System time              : 0.138 s
% 17.55/3.80  # Total time               : 1.335 s
% 17.55/3.80  # ...preprocessing         : 1.104 s
% 17.55/3.80  # ...main loop             : 0.231 s
% 17.55/3.80  # Maximum resident set size: 175820 pages
% 17.55/3.80  
%------------------------------------------------------------------------------