TSTP Solution File: SEU432+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU432+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:32:10 EDT 2023
% Result : Theorem 658.58s 84.82s
% Output : CNFRefutation 658.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 23 unt; 0 def)
% Number of atoms : 192 ( 16 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 214 ( 92 ~; 79 |; 16 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 144 ( 6 sgn; 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t33_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t33_relset_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',redefinition_k4_subset_1) ).
fof(t8_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X3,X2) )
=> r1_tarski(k2_xboole_0(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t8_xboole_1) ).
fof(t32_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t32_relset_2) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',dt_k8_relset_2) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = k1_zfmisc_1(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> r1_tarski(X3,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',d1_zfmisc_1) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',d2_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',fc1_subset_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',redefinition_k5_subset_1) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t17_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',commutativity_k3_xboole_0) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t1_xboole_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t1_subset) ).
fof(t108_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(X1,X2)
=> r1_tarski(k3_xboole_0(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',t108_xboole_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p',reflexivity_r1_tarski) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
inference(assume_negation,[status(cth)],[t33_relset_2]) ).
fof(c_0_16,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& ~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_17,plain,
! [X189,X190,X191] :
( ~ m1_subset_1(X190,k1_zfmisc_1(X189))
| ~ m1_subset_1(X191,k1_zfmisc_1(X189))
| k4_subset_1(X189,X190,X191) = k2_xboole_0(X190,X191) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_18,negated_conjecture,
~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_20,plain,
! [X1092,X1093,X1094] :
( ~ r1_tarski(X1092,X1093)
| ~ r1_tarski(X1094,X1093)
| r1_tarski(k2_xboole_0(X1092,X1094),X1093) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).
cnf(c_0_21,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k2_xboole_0(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( r1_tarski(k2_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X115,X116,X117,X118,X119] :
( ~ m1_subset_1(X117,k1_zfmisc_1(X115))
| ~ m1_subset_1(X118,k1_zfmisc_1(X115))
| ~ m1_subset_1(X119,k1_zfmisc_1(k2_zfmisc_1(X115,X116)))
| ~ r1_tarski(X117,X118)
| r1_tarski(k8_relset_2(X115,X116,X118,X119),k8_relset_2(X115,X116,X117,X119)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t32_relset_2])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( r1_tarski(k8_relset_2(X2,X5,X3,X4),k8_relset_2(X2,X5,X1,X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X5)))
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_30,plain,
! [X89,X90,X91,X92] :
( ~ m1_subset_1(X91,k1_zfmisc_1(X89))
| ~ m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(X89,X90)))
| m1_subset_1(k8_relset_2(X89,X90,X91,X92),k1_zfmisc_1(X90)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
cnf(c_0_31,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_29])]) ).
cnf(c_0_32,plain,
( m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_33,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( ~ r2_hidden(X34,X33)
| r1_tarski(X34,X32)
| X33 != k1_zfmisc_1(X32) )
& ( ~ r1_tarski(X35,X32)
| r2_hidden(X35,X33)
| X33 != k1_zfmisc_1(X32) )
& ( ~ r2_hidden(esk7_2(X36,X37),X37)
| ~ r1_tarski(esk7_2(X36,X37),X36)
| X37 = k1_zfmisc_1(X36) )
& ( r2_hidden(esk7_2(X36,X37),X37)
| r1_tarski(esk7_2(X36,X37),X36)
| X37 = k1_zfmisc_1(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])]) ).
fof(c_0_34,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_35,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_36,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26]),c_0_27])]) ).
fof(c_0_37,plain,
! [X134,X135,X136] :
( ~ m1_subset_1(X135,k1_zfmisc_1(X134))
| ~ m1_subset_1(X136,k1_zfmisc_1(X134))
| k5_subset_1(X134,X135,X136) = k3_xboole_0(X135,X136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_38,plain,
! [X653,X654] : r1_tarski(k3_xboole_0(X653,X654),X653),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_39,plain,
! [X646,X647] : k3_xboole_0(X646,X647) = k3_xboole_0(X647,X646),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_40,plain,
! [X29,X30,X31] :
( ~ r1_tarski(X29,X30)
| ~ r1_tarski(X30,X31)
| r1_tarski(X29,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_41,plain,
( r1_tarski(X1,X3)
| ~ r2_hidden(X1,X2)
| X2 != k1_zfmisc_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_42,plain,
! [X300,X301] :
( ( ~ m1_subset_1(X301,X300)
| r2_hidden(X301,X300)
| v1_xboole_0(X300) )
& ( ~ r2_hidden(X301,X300)
| m1_subset_1(X301,X300)
| v1_xboole_0(X300) )
& ( ~ m1_subset_1(X301,X300)
| v1_xboole_0(X301)
| ~ v1_xboole_0(X300) )
& ( ~ v1_xboole_0(X301)
| m1_subset_1(X301,X300)
| ~ v1_xboole_0(X300) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_43,plain,
! [X213] : ~ v1_xboole_0(k1_zfmisc_1(X213)),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
| ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_26]),c_0_29])]) ).
cnf(c_0_45,plain,
( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(X1,k1_zfmisc_1(X2)) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
| ~ r1_tarski(k3_xboole_0(esk3_0,esk4_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_27]),c_0_29])]) ).
cnf(c_0_53,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_54,plain,
! [X302,X303] :
( ~ r2_hidden(X302,X303)
| m1_subset_1(X302,X303) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_55,plain,
( r2_hidden(X1,X3)
| ~ r1_tarski(X1,X2)
| X3 != k1_zfmisc_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_56,plain,
! [X696,X697,X698] :
( ~ r1_tarski(X696,X697)
| r1_tarski(k3_xboole_0(X696,X698),X697) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t108_xboole_1])]) ).
cnf(c_0_57,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,X3)
| ~ r2_hidden(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
r2_hidden(esk3_0,k1_zfmisc_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_51]) ).
fof(c_0_59,plain,
! [X26] : r1_tarski(X26,X26),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_60,negated_conjecture,
~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,plain,
( r2_hidden(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
( r1_tarski(k3_xboole_0(X1,X3),X2)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
~ r2_hidden(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
( r2_hidden(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
r1_tarski(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU432+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 2400
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Oct 2 08:30:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 1.40/1.63 Running first-order model finding
% 1.40/1.63 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/tmp/tmp.QfkMs9ntzj/E---3.1_7886.p
% 658.58/84.82 # Version: 3.1pre001
% 658.58/84.82 # Preprocessing class: FMLLMMLLSSSNFFN.
% 658.58/84.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 658.58/84.82 # Starting new_bool_3 with 900s (3) cores
% 658.58/84.82 # Starting new_bool_1 with 900s (3) cores
% 658.58/84.82 # Starting sh5l with 300s (1) cores
% 658.58/84.82 # Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 300s (1) cores
% 658.58/84.82 # G-E--_211_C18_F1_AE_CS_SP_S0Y with pid 7966 completed with status 0
% 658.58/84.82 # Result found by G-E--_211_C18_F1_AE_CS_SP_S0Y
% 658.58/84.82 # Preprocessing class: FMLLMMLLSSSNFFN.
% 658.58/84.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 658.58/84.82 # Starting new_bool_3 with 900s (3) cores
% 658.58/84.82 # Starting new_bool_1 with 900s (3) cores
% 658.58/84.82 # Starting sh5l with 300s (1) cores
% 658.58/84.82 # Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 300s (1) cores
% 658.58/84.82 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 658.58/84.82 # Search class: FGHSM-FSLM32-MFFFFFNN
% 658.58/84.82 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 658.58/84.82 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 658.58/84.82 # G-E--_303_C18_F1_URBAN_S0Y with pid 7967 completed with status 7
% 658.58/84.82 # Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 31s (1) cores
% 658.58/84.82 # G-E--_211_C18_F1_AE_CS_SP_S0Y with pid 9030 completed with status 7
% 658.58/84.82 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 658.58/84.82 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 10576 completed with status 7
% 658.58/84.82 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 658.58/84.82 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 11265 completed with status 0
% 658.58/84.82 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 658.58/84.82 # Preprocessing class: FMLLMMLLSSSNFFN.
% 658.58/84.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 658.58/84.82 # Starting new_bool_3 with 900s (3) cores
% 658.58/84.82 # Starting new_bool_1 with 900s (3) cores
% 658.58/84.82 # Starting sh5l with 300s (1) cores
% 658.58/84.82 # Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 300s (1) cores
% 658.58/84.82 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 658.58/84.82 # Search class: FGHSM-FSLM32-MFFFFFNN
% 658.58/84.82 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 658.58/84.82 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 658.58/84.82 # G-E--_303_C18_F1_URBAN_S0Y with pid 7967 completed with status 7
% 658.58/84.82 # Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 31s (1) cores
% 658.58/84.82 # G-E--_211_C18_F1_AE_CS_SP_S0Y with pid 9030 completed with status 7
% 658.58/84.82 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 658.58/84.82 # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 10576 completed with status 7
% 658.58/84.82 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 658.58/84.82 # Preprocessing time : 0.023 s
% 658.58/84.82 # Presaturation interreduction done
% 658.58/84.82
% 658.58/84.82 # Proof found!
% 658.58/84.82 # SZS status Theorem
% 658.58/84.82 # SZS output start CNFRefutation
% See solution above
% 658.58/84.82 # Parsed axioms : 19104
% 658.58/84.82 # Removed by relevancy pruning/SinE : 18603
% 658.58/84.82 # Initial clauses : 968
% 658.58/84.82 # Removed in clause preprocessing : 14
% 658.58/84.82 # Initial clauses in saturation : 954
% 658.58/84.82 # Processed clauses : 4219
% 658.58/84.82 # ...of these trivial : 64
% 658.58/84.82 # ...subsumed : 1653
% 658.58/84.82 # ...remaining for further processing : 2502
% 658.58/84.82 # Other redundant clauses eliminated : 245
% 658.58/84.82 # Clauses deleted for lack of memory : 0
% 658.58/84.82 # Backward-subsumed : 53
% 658.58/84.82 # Backward-rewritten : 26
% 658.58/84.82 # Generated clauses : 24491
% 658.58/84.82 # ...of the previous two non-redundant : 22647
% 658.58/84.82 # ...aggressively subsumed : 0
% 658.58/84.82 # Contextual simplify-reflections : 46
% 658.58/84.82 # Paramodulations : 24220
% 658.58/84.82 # Factorizations : 16
% 658.58/84.82 # NegExts : 0
% 658.58/84.82 # Equation resolutions : 260
% 658.58/84.82 # Total rewrite steps : 3904
% 658.58/84.82 # Propositional unsat checks : 0
% 658.58/84.82 # Propositional check models : 0
% 658.58/84.82 # Propositional check unsatisfiable : 0
% 658.58/84.82 # Propositional clauses : 0
% 658.58/84.82 # Propositional clauses after purity: 0
% 658.58/84.82 # Propositional unsat core size : 0
% 658.58/84.82 # Propositional preprocessing time : 0.000
% 658.58/84.82 # Propositional encoding time : 0.000
% 658.58/84.82 # Propositional solver time : 0.000
% 658.58/84.82 # Success case prop preproc time : 0.000
% 658.58/84.82 # Success case prop encoding time : 0.000
% 658.58/84.82 # Success case prop solver time : 0.000
% 658.58/84.82 # Current number of processed clauses : 1482
% 658.58/84.82 # Positive orientable unit clauses : 155
% 658.58/84.82 # Positive unorientable unit clauses: 2
% 658.58/84.82 # Negative unit clauses : 213
% 658.58/84.82 # Non-unit-clauses : 1112
% 658.58/84.82 # Current number of unprocessed clauses: 20133
% 658.58/84.82 # ...number of literals in the above : 91618
% 658.58/84.82 # Current number of archived formulas : 0
% 658.58/84.82 # Current number of archived clauses : 937
% 658.58/84.82 # Clause-clause subsumption calls (NU) : 549514
% 658.58/84.82 # Rec. Clause-clause subsumption calls : 132133
% 658.58/84.82 # Non-unit clause-clause subsumptions : 480
% 658.58/84.82 # Unit Clause-clause subsumption calls : 50033
% 658.58/84.82 # Rewrite failures with RHS unbound : 0
% 658.58/84.82 # BW rewrite match attempts : 264
% 658.58/84.82 # BW rewrite match successes : 89
% 658.58/84.82 # Condensation attempts : 0
% 658.58/84.82 # Condensation successes : 0
% 658.58/84.82 # Termbank termtop insertions : 976137
% 658.58/84.82
% 658.58/84.82 # -------------------------------------------------
% 658.58/84.82 # User time : 79.771 s
% 658.58/84.82 # System time : 2.316 s
% 658.58/84.82 # Total time : 82.087 s
% 658.58/84.82 # Maximum resident set size: 38796 pages
% 658.58/84.82
% 658.58/84.82 # -------------------------------------------------
% 658.58/84.82 # User time : 80.318 s
% 658.58/84.82 # System time : 2.345 s
% 658.58/84.82 # Total time : 82.664 s
% 658.58/84.82 # Maximum resident set size: 29748 pages
% 658.58/84.82 % E---3.1 exiting
%------------------------------------------------------------------------------