TSTP Solution File: SEU445+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 19:32:14 EDT 2023
% Result : Theorem 15.35s 2.50s
% Output : CNFRefutation 15.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 107 ( 19 unt; 0 def)
% Number of atoms : 259 ( 54 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 265 ( 113 ~; 108 |; 19 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-5 aty)
% Number of variables : 270 ( 25 sgn; 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t57_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t57_relset_2) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',redefinition_k10_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t51_relset_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',redefinition_m2_relset_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',dt_m2_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',dt_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',redefinition_k6_relset_1) ).
fof(dt_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',dt_k10_relset_1) ).
fof(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',dt_k9_relset_2) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',d3_xboole_0) ).
fof(t48_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X4] : k9_relat_1(k4_relat_1(X3),X4) = k9_relat_1(k4_relat_1(X3),k3_xboole_0(X4,k2_funct_5(X3))) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t48_relset_2) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',d3_tarski) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t3_subset) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',redefinition_k9_relset_2) ).
fof(t154_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> r1_tarski(k9_relat_1(X3,k3_xboole_0(X1,X2)),k3_xboole_0(k9_relat_1(X3,X1),k9_relat_1(X3,X2))) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t154_relat_1) ).
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.lTNTaJinB5/E---3.1_19845.p',t1_xboole_1) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t156_relat_1) ).
fof(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',t159_relat_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.lTNTaJinB5/E---3.1_19845.p',d10_xboole_0) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
inference(assume_negation,[status(cth)],[t57_relset_2]) ).
fof(c_0_21,plain,
! [X100,X101,X102,X103] :
( ~ m1_relset_1(X102,X100,X101)
| k10_relset_1(X100,X101,X102,X103) = k9_relat_1(X102,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(c_0_22,plain,
! [X149,X150,X151] :
( ( k1_funct_5(X151) = k10_relset_1(X149,X150,k6_relset_1(X150,X149,X151),X149)
| ~ m2_relset_1(X151,X150,X149) )
& ( k2_funct_5(X151) = k10_relset_1(X150,X149,X151,X150)
| ~ m2_relset_1(X151,X150,X149) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
fof(c_0_23,plain,
! [X118,X119,X120] :
( ( ~ m2_relset_1(X120,X118,X119)
| m1_relset_1(X120,X118,X119) )
& ( ~ m1_relset_1(X120,X118,X119)
| m2_relset_1(X120,X118,X119) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_24,negated_conjecture,
( m2_relset_1(esk3_0,esk2_0,esk1_0)
& k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_25,plain,
! [X12,X13,X14] :
( ~ m1_subset_1(X14,k1_zfmisc_1(k2_zfmisc_1(X12,X13)))
| v1_relat_1(X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_26,plain,
! [X58,X59,X60] :
( ~ m2_relset_1(X60,X58,X59)
| m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(X58,X59))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_27,plain,
! [X50,X51,X52] :
( ~ m1_relset_1(X52,X50,X51)
| m2_relset_1(k6_relset_1(X50,X51,X52),X51,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(c_0_28,plain,
! [X110,X111,X112] :
( ~ m1_relset_1(X112,X110,X111)
| k6_relset_1(X110,X111,X112) = k4_relat_1(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(c_0_29,plain,
! [X37,X38,X39,X40] :
( ~ m1_relset_1(X39,X37,X38)
| m1_subset_1(k10_relset_1(X37,X38,X39,X40),k1_zfmisc_1(X38)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
fof(c_0_30,plain,
! [X53,X54,X55,X56,X57] :
( ~ m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(X53,X54)))
| ~ m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(X54,X55)))
| m2_relset_1(k9_relset_2(X53,X54,X55,X56,X57),X53,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
fof(c_0_31,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( r2_hidden(X31,X28)
| ~ r2_hidden(X31,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( r2_hidden(X31,X29)
| ~ r2_hidden(X31,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( ~ r2_hidden(X32,X28)
| ~ r2_hidden(X32,X29)
| r2_hidden(X32,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( ~ r2_hidden(esk5_3(X33,X34,X35),X35)
| ~ r2_hidden(esk5_3(X33,X34,X35),X33)
| ~ r2_hidden(esk5_3(X33,X34,X35),X34)
| X35 = k3_xboole_0(X33,X34) )
& ( r2_hidden(esk5_3(X33,X34,X35),X33)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| X35 = k3_xboole_0(X33,X34) )
& ( r2_hidden(esk5_3(X33,X34,X35),X34)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| X35 = k3_xboole_0(X33,X34) ) ),
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)],[d3_xboole_0])])])])])]) ).
fof(c_0_32,plain,
! [X142,X143,X144,X145] :
( ~ m1_subset_1(X144,k1_zfmisc_1(k2_zfmisc_1(X142,X143)))
| k9_relat_1(k4_relat_1(X144),X145) = k9_relat_1(k4_relat_1(X144),k3_xboole_0(X145,k2_funct_5(X144))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_relset_2])])]) ).
cnf(c_0_33,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,negated_conjecture,
m2_relset_1(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,plain,
( m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_44,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_46,plain,
! [X22,X23,X24,X25,X26] :
( ( ~ r1_tarski(X22,X23)
| ~ r2_hidden(X24,X22)
| r2_hidden(X24,X23) )
& ( r2_hidden(esk4_2(X25,X26),X25)
| r1_tarski(X25,X26) )
& ( ~ r2_hidden(esk4_2(X25,X26),X26)
| r1_tarski(X25,X26) ) ),
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)],[d3_tarski])])])])])]) ).
cnf(c_0_47,plain,
( k9_relat_1(k4_relat_1(X1),X4) = k9_relat_1(k4_relat_1(X1),k3_xboole_0(X4,k2_funct_5(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48,plain,
( k2_funct_5(X1) = k9_relat_1(X1,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_49,negated_conjecture,
m1_relset_1(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_50,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_52,plain,
( k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_53,plain,
( m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
fof(c_0_54,plain,
! [X140,X141] :
( ( ~ m1_subset_1(X140,k1_zfmisc_1(X141))
| r1_tarski(X140,X141) )
& ( ~ r1_tarski(X140,X141)
| m1_subset_1(X140,k1_zfmisc_1(X141)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_55,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_57,plain,
( m1_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
fof(c_0_58,plain,
! [X113,X114,X115,X116,X117] :
( ~ m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ m1_subset_1(X117,k1_zfmisc_1(k2_zfmisc_1(X114,X115)))
| k9_relset_2(X113,X114,X115,X116,X117) = k5_relat_1(X116,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
cnf(c_0_59,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_61,plain,
! [X122,X123,X124] :
( ~ v1_relat_1(X124)
| r1_tarski(k9_relat_1(X124,k3_xboole_0(X122,X123)),k3_xboole_0(k9_relat_1(X124,X122),k9_relat_1(X124,X123))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t154_relat_1])]) ).
cnf(c_0_62,plain,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ m2_relset_1(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_39]) ).
cnf(c_0_63,negated_conjecture,
k2_funct_5(esk3_0) = k9_relat_1(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_64,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_65,plain,
( k9_relat_1(k6_relset_1(X1,X2,X3),X2) = k1_funct_5(X3)
| ~ m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m2_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_66,plain,
( m1_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_41]) ).
fof(c_0_67,plain,
! [X133,X134,X135] :
( ~ r1_tarski(X133,X134)
| ~ r1_tarski(X134,X135)
| r1_tarski(X133,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_68,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_69,negated_conjecture,
m1_subset_1(k9_relat_1(esk3_0,X1),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_70,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_71,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_72,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_73,plain,
( r1_tarski(k3_xboole_0(X1,X2),X3)
| r2_hidden(esk4_2(k3_xboole_0(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_74,plain,
( r1_tarski(k9_relat_1(X1,k3_xboole_0(X2,X3)),k3_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3)))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_75,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k3_xboole_0(X1,k9_relat_1(esk3_0,esk2_0))) = k9_relat_1(k4_relat_1(esk3_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_63]) ).
cnf(c_0_76,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_64,c_0_49]) ).
cnf(c_0_77,plain,
( k9_relat_1(k4_relat_1(X1),X2) = k1_funct_5(X1)
| ~ m1_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_35]),c_0_66]) ).
fof(c_0_78,plain,
! [X125,X126,X127] :
( ~ v1_relat_1(X127)
| ~ r1_tarski(X125,X126)
| r1_tarski(k9_relat_1(X127,X125),k9_relat_1(X127,X126)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
cnf(c_0_79,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,negated_conjecture,
r1_tarski(k9_relat_1(esk3_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_82,plain,
! [X128,X129,X130] :
( ~ v1_relat_1(X129)
| ~ v1_relat_1(X130)
| k9_relat_1(k5_relat_1(X129,X130),X128) = k9_relat_1(X130,k9_relat_1(X129,X128)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
cnf(c_0_83,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
r1_tarski(k9_relat_1(k4_relat_1(esk3_0),X1),k3_xboole_0(k9_relat_1(k4_relat_1(esk3_0),X1),k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_85,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),esk1_0) = k1_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_77,c_0_49]) ).
cnf(c_0_86,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,k9_relat_1(esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k4_relat_1(esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_41]),c_0_49])]) ).
cnf(c_0_89,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_50,c_0_37]) ).
fof(c_0_91,plain,
! [X20,X21] :
( ( r1_tarski(X20,X21)
| X20 != X21 )
& ( r1_tarski(X21,X20)
| X20 != X21 )
& ( ~ r1_tarski(X20,X21)
| ~ r1_tarski(X21,X20)
| X20 = X21 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_92,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,k3_xboole_0(X3,X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_83]) ).
cnf(c_0_93,negated_conjecture,
r1_tarski(k1_funct_5(esk3_0),k3_xboole_0(k1_funct_5(esk3_0),k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)))),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( r1_tarski(k9_relat_1(k4_relat_1(esk3_0),X1),k9_relat_1(k4_relat_1(esk3_0),X2))
| ~ r1_tarski(k3_xboole_0(X1,k9_relat_1(esk3_0,esk2_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_75]),c_0_76])]) ).
cnf(c_0_95,negated_conjecture,
r1_tarski(k3_xboole_0(X1,k9_relat_1(esk3_0,X2)),esk1_0),
inference(spm,[status(thm)],[c_0_87,c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_76]),c_0_90])]) ).
cnf(c_0_97,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,negated_conjecture,
r1_tarski(k1_funct_5(esk3_0),k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
r1_tarski(k9_relat_1(k4_relat_1(esk3_0),X1),k1_funct_5(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_85]),c_0_95])]) ).
cnf(c_0_100,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) != k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_39]) ).
cnf(c_0_101,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) = k1_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_102,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k4_relat_1(esk3_0),esk1_0) != k1_funct_5(esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,plain,
( k10_relset_1(X1,X2,k4_relat_1(X3),X1) = k1_funct_5(X3)
| ~ m1_relset_1(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_41]),c_0_35]) ).
cnf(c_0_104,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| ~ m2_relset_1(k4_relat_1(esk3_0),esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_49])]) ).
cnf(c_0_105,negated_conjecture,
~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_49])]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_39]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n025.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 08:46:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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.lTNTaJinB5/E---3.1_19845.p
% 15.35/2.50 # Version: 3.1pre001
% 15.35/2.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 15.35/2.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.35/2.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.35/2.50 # Starting new_bool_3 with 300s (1) cores
% 15.35/2.50 # Starting new_bool_1 with 300s (1) cores
% 15.35/2.50 # Starting sh5l with 300s (1) cores
% 15.35/2.50 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19956 completed with status 0
% 15.35/2.50 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 15.35/2.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 15.35/2.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.35/2.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.35/2.50 # No SInE strategy applied
% 15.35/2.50 # Search class: FGHSM-FFMM32-MFFFFFNN
% 15.35/2.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 15.35/2.50 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 635s (1) cores
% 15.35/2.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.35/2.50 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 15.35/2.50 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 15.35/2.50 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 15.35/2.50 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 19965 completed with status 0
% 15.35/2.50 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 15.35/2.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 15.35/2.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.35/2.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.35/2.50 # No SInE strategy applied
% 15.35/2.50 # Search class: FGHSM-FFMM32-MFFFFFNN
% 15.35/2.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 15.35/2.50 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 635s (1) cores
% 15.35/2.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.35/2.50 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 15.35/2.50 # Preprocessing time : 0.016 s
% 15.35/2.50
% 15.35/2.50 # Proof found!
% 15.35/2.50 # SZS status Theorem
% 15.35/2.50 # SZS output start CNFRefutation
% See solution above
% 15.35/2.50 # Parsed axioms : 76
% 15.35/2.50 # Removed by relevancy pruning/SinE : 0
% 15.35/2.50 # Initial clauses : 103
% 15.35/2.50 # Removed in clause preprocessing : 11
% 15.35/2.50 # Initial clauses in saturation : 92
% 15.35/2.50 # Processed clauses : 7124
% 15.35/2.50 # ...of these trivial : 144
% 15.35/2.50 # ...subsumed : 4417
% 15.35/2.50 # ...remaining for further processing : 2563
% 15.35/2.50 # Other redundant clauses eliminated : 17
% 15.35/2.50 # Clauses deleted for lack of memory : 0
% 15.35/2.50 # Backward-subsumed : 518
% 15.35/2.50 # Backward-rewritten : 131
% 15.35/2.50 # Generated clauses : 109115
% 15.35/2.50 # ...of the previous two non-redundant : 102409
% 15.35/2.50 # ...aggressively subsumed : 0
% 15.35/2.50 # Contextual simplify-reflections : 239
% 15.35/2.50 # Paramodulations : 109027
% 15.35/2.50 # Factorizations : 56
% 15.35/2.50 # NegExts : 0
% 15.35/2.50 # Equation resolutions : 32
% 15.35/2.50 # Total rewrite steps : 32158
% 15.35/2.50 # Propositional unsat checks : 0
% 15.35/2.50 # Propositional check models : 0
% 15.35/2.50 # Propositional check unsatisfiable : 0
% 15.35/2.50 # Propositional clauses : 0
% 15.35/2.50 # Propositional clauses after purity: 0
% 15.35/2.50 # Propositional unsat core size : 0
% 15.35/2.50 # Propositional preprocessing time : 0.000
% 15.35/2.50 # Propositional encoding time : 0.000
% 15.35/2.50 # Propositional solver time : 0.000
% 15.35/2.50 # Success case prop preproc time : 0.000
% 15.35/2.50 # Success case prop encoding time : 0.000
% 15.35/2.50 # Success case prop solver time : 0.000
% 15.35/2.50 # Current number of processed clauses : 1912
% 15.35/2.50 # Positive orientable unit clauses : 237
% 15.35/2.50 # Positive unorientable unit clauses: 3
% 15.35/2.50 # Negative unit clauses : 33
% 15.35/2.50 # Non-unit-clauses : 1639
% 15.35/2.50 # Current number of unprocessed clauses: 94073
% 15.35/2.50 # ...number of literals in the above : 403783
% 15.35/2.50 # Current number of archived formulas : 0
% 15.35/2.50 # Current number of archived clauses : 649
% 15.35/2.50 # Clause-clause subsumption calls (NU) : 701824
% 15.35/2.50 # Rec. Clause-clause subsumption calls : 257622
% 15.35/2.50 # Non-unit clause-clause subsumptions : 3477
% 15.35/2.50 # Unit Clause-clause subsumption calls : 15812
% 15.35/2.50 # Rewrite failures with RHS unbound : 0
% 15.35/2.50 # BW rewrite match attempts : 685
% 15.35/2.50 # BW rewrite match successes : 86
% 15.35/2.50 # Condensation attempts : 0
% 15.35/2.50 # Condensation successes : 0
% 15.35/2.50 # Termbank termtop insertions : 2027635
% 15.35/2.50
% 15.35/2.50 # -------------------------------------------------
% 15.35/2.50 # User time : 1.841 s
% 15.35/2.50 # System time : 0.059 s
% 15.35/2.50 # Total time : 1.900 s
% 15.35/2.50 # Maximum resident set size: 2000 pages
% 15.35/2.50
% 15.35/2.50 # -------------------------------------------------
% 15.35/2.50 # User time : 9.115 s
% 15.35/2.50 # System time : 0.298 s
% 15.35/2.50 # Total time : 9.413 s
% 15.35/2.50 # Maximum resident set size: 1752 pages
% 15.35/2.50 % E---3.1 exiting
%------------------------------------------------------------------------------