TSTP Solution File: SEU445+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU445+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:20:21 EDT 2022
% Result : Theorem 0.36s 20.55s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 42
% Syntax : Number of formulae : 219 ( 35 unt; 0 def)
% Number of atoms : 516 ( 121 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 536 ( 239 ~; 218 |; 39 &)
% ( 8 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-5 aty)
% Number of variables : 389 ( 40 sgn 206 !; 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t57_relset_2) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t51_relset_2) ).
fof(involutiveness_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',involutiveness_k6_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k6_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_xboole_0) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k9_relset_2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(fc11_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k4_relat_1(X1))
& v1_relat_1(k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc11_relat_1) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',involutiveness_k4_relat_1) ).
fof(cc1_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_relat_1(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relat_1) ).
fof(fc8_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k2_relat_1(X1))
& v1_relat_1(k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc8_relat_1) ).
fof(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_funct_5(X1) = k1_relat_1(X1)
& k2_funct_5(X1) = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t21_funct_5) ).
fof(fc6_relat_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k2_relat_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_relat_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).
fof(fc10_relat_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
& v1_relat_1(X2) )
=> ( v1_xboole_0(k5_relat_1(X2,X1))
& v1_relat_1(k5_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc10_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_boole) ).
fof(fc12_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc12_relat_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k10_relset_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k1_relat_1(X1))
& v1_relat_1(k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc7_relat_1) ).
fof(dt_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_relset_1) ).
fof(redefinition_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k5_relset_1(X1,X2,X3) = k2_relat_1(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_relset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t156_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> v1_relat_1(k4_relat_1(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_relat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t48_relset_2) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_xboole_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t159_relat_1) ).
fof(c_0_40,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_41,plain,
! [X4,X5,X6] :
( ( k1_funct_5(X6) = k10_relset_1(X4,X5,k6_relset_1(X5,X4,X6),X4)
| ~ m2_relset_1(X6,X5,X4) )
& ( k2_funct_5(X6) = k10_relset_1(X5,X4,X6,X5)
| ~ m2_relset_1(X6,X5,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
fof(c_0_42,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k6_relset_1(X4,X5,k6_relset_1(X4,X5,X6)) = X6 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k6_relset_1])]) ).
fof(c_0_43,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_40])])]) ).
cnf(c_0_44,plain,
( k1_funct_5(X1) = k10_relset_1(X3,X2,k6_relset_1(X2,X3,X1),X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_46,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(k6_relset_1(X4,X5,X6),X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
cnf(c_0_47,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_43]) ).
cnf(c_0_48,plain,
( k10_relset_1(X1,X2,X3,X1) = k1_funct_5(k6_relset_1(X2,X1,X3))
| ~ m1_relset_1(X3,X2,X1)
| ~ m2_relset_1(k6_relset_1(X2,X1,X3),X2,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_50,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k6_relset_1(X4,X5,X6) = k4_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
cnf(c_0_51,negated_conjecture,
( k1_funct_5(k6_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)))) != 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_52,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_53,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_55,negated_conjecture,
( k1_funct_5(k4_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_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_51,c_0_52]) ).
cnf(c_0_56,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_57,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| m2_relset_1(k9_relset_2(X6,X7,X8,X9,X10),X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
cnf(c_0_58,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_54]) ).
cnf(c_0_59,negated_conjecture,
m2_relset_1(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_60,plain,
! [X5,X6,X7,X8,X8,X5,X6,X7] :
( ( r2_hidden(X8,X5)
| ~ r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( r2_hidden(X8,X6)
| ~ r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( ~ r2_hidden(X8,X5)
| ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| X7 != k3_xboole_0(X5,X6) )
& ( ~ r2_hidden(esk5_3(X5,X6,X7),X7)
| ~ r2_hidden(esk5_3(X5,X6,X7),X5)
| ~ r2_hidden(esk5_3(X5,X6,X7),X6)
| X7 = k3_xboole_0(X5,X6) )
& ( r2_hidden(esk5_3(X5,X6,X7),X5)
| r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k3_xboole_0(X5,X6) )
& ( r2_hidden(esk5_3(X5,X6,X7),X6)
| r2_hidden(esk5_3(X5,X6,X7),X7)
| X7 = k3_xboole_0(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])]) ).
cnf(c_0_61,negated_conjecture,
( k1_funct_5(k4_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)))) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m2_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_55,c_0_56]) ).
cnf(c_0_62,plain,
( m2_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(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_64,plain,
! [X6,X7,X8,X9,X10] :
( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
| ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| k9_relset_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(c_0_65,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_66,plain,
! [X2] :
( ( v1_xboole_0(k4_relat_1(X2))
| ~ v1_xboole_0(X2) )
& ( v1_relat_1(k4_relat_1(X2))
| ~ v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_relat_1])])]) ).
fof(c_0_67,plain,
! [X2] : k3_xboole_0(X2,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(c_0_68,plain,
! [X3,X4] : k3_xboole_0(X3,X4) = k3_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_69,plain,
( ~ epred4_0
<=> ! [X2] : ~ r2_hidden(X2,k2_funct_5(esk3_0)) ),
introduced(definition) ).
cnf(c_0_70,plain,
( X1 = k3_xboole_0(X2,X3)
| r2_hidden(esk5_3(X2,X3,X1),X1)
| r2_hidden(esk5_3(X2,X3,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,negated_conjecture,
( k1_funct_5(k4_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_72,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ 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(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_73,plain,
! [X2] :
( ~ v1_relat_1(X2)
| k4_relat_1(k4_relat_1(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
cnf(c_0_74,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
( v1_xboole_0(k4_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_76,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| v1_relat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(c_0_77,plain,
! [X2] :
( ( v1_xboole_0(k2_relat_1(X2))
| ~ v1_xboole_0(X2) )
& ( v1_relat_1(k2_relat_1(X2))
| ~ v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_relat_1])])]) ).
fof(c_0_78,plain,
! [X2] :
( ( k1_funct_5(X2) = k1_relat_1(X2)
| ~ v1_relat_1(X2) )
& ( k2_funct_5(X2) = k2_relat_1(X2)
| ~ v1_relat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).
fof(c_0_79,plain,
! [X2] :
( v1_xboole_0(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(k2_relat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_relat_1])])]) ).
cnf(c_0_80,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_82,negated_conjecture,
( epred4_0
| ~ r2_hidden(X1,k2_funct_5(esk3_0)) ),
inference(split_equiv,[status(thm)],[c_0_69]) ).
cnf(c_0_83,plain,
( k3_xboole_0(X1,X2) = X2
| r2_hidden(esk5_3(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_70]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_85,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k1_funct_5(k4_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0))))
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63])]) ).
cnf(c_0_86,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_41]) ).
fof(c_0_87,plain,
! [X3,X4] :
( ( v1_xboole_0(k5_relat_1(X4,X3))
| ~ v1_xboole_0(X3)
| ~ v1_relat_1(X4) )
& ( v1_relat_1(k5_relat_1(X4,X3))
| ~ v1_xboole_0(X3)
| ~ v1_relat_1(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_relat_1])])]) ).
cnf(c_0_88,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_89,plain,
( k4_relat_1(X1) = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_90,plain,
( v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_91,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
cnf(c_0_92,plain,
( v1_xboole_0(k2_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_93,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_94,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(k2_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_95,plain,
k3_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_96,negated_conjecture,
( k3_xboole_0(X1,k2_funct_5(esk3_0)) = k2_funct_5(esk3_0)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_97,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,negated_conjecture,
( k1_funct_5(k4_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)))) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m2_relset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_58]) ).
cnf(c_0_99,plain,
( v1_xboole_0(k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_100,plain,
( k4_relat_1(k1_xboole_0) = X1
| ~ v1_xboole_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_101,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]) ).
cnf(c_0_102,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_103,plain,
( v1_xboole_0(k2_funct_5(X1))
| ~ v1_xboole_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_90]) ).
cnf(c_0_104,plain,
( v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(k2_funct_5(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( k2_funct_5(esk3_0) = k1_xboole_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_97,c_0_63]) ).
cnf(c_0_107,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_108,negated_conjecture,
( k1_funct_5(k4_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)))) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_49]) ).
cnf(c_0_109,plain,
( k5_relat_1(X1,X2) = k1_xboole_0
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_99]) ).
cnf(c_0_110,plain,
k4_relat_1(k1_xboole_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,plain,
( X1 = k2_funct_5(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
( epred4_0
| v1_xboole_0(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_101])]) ).
cnf(c_0_113,plain,
( k2_funct_5(k6_relset_1(X1,X2,X3)) = k1_funct_5(X3)
| ~ m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m2_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_44]) ).
cnf(c_0_114,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_56]) ).
fof(c_0_115,plain,
! [X5,X6,X7,X8] :
( ~ m1_relset_1(X7,X5,X6)
| k10_relset_1(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])])]) ).
cnf(c_0_116,negated_conjecture,
( k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0)) != k1_funct_5(k1_xboole_0)
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0)
| ~ v1_xboole_0(k6_relset_1(esk2_0,esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_106])]) ).
cnf(c_0_117,negated_conjecture,
( k2_funct_5(X1) = esk3_0
| epred4_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_118,plain,
! [X2] :
( ( v1_xboole_0(k1_relat_1(X2))
| ~ v1_xboole_0(X2) )
& ( v1_relat_1(k1_relat_1(X2))
| ~ v1_xboole_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
cnf(c_0_119,plain,
( k2_funct_5(k4_relat_1(X1)) = k1_funct_5(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_52]),c_0_56]),c_0_114]) ).
cnf(c_0_120,plain,
( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_121,negated_conjecture,
( epred4_0
| k1_funct_5(k1_xboole_0) != esk3_0
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0)
| ~ v1_xboole_0(k6_relset_1(esk2_0,esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,plain,
( v1_xboole_0(k1_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_123,plain,
( k1_funct_5(X1) = k1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_124,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| m1_subset_1(k5_relset_1(X4,X5,X6),k1_zfmisc_1(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])]) ).
fof(c_0_125,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k5_relset_1(X4,X5,X6) = k2_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])]) ).
cnf(c_0_126,plain,
( k2_funct_5(k4_relat_1(k4_relat_1(X1))) = k1_funct_5(k4_relat_1(X1))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_114]) ).
fof(c_0_127,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_128,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_129,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ r1_tarski(X4,X5)
| r1_tarski(k9_relat_1(X6,X4),k9_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
cnf(c_0_130,plain,
( k9_relat_1(X1,X2) = k2_funct_5(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_120]),c_0_56]) ).
cnf(c_0_131,negated_conjecture,
( epred4_0
| k1_funct_5(k1_xboole_0) != esk3_0
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0)
| ~ v1_xboole_0(k4_relat_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_52]) ).
cnf(c_0_132,plain,
( v1_xboole_0(k1_funct_5(X1))
| ~ v1_xboole_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_90]) ).
cnf(c_0_133,plain,
( m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2))
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_134,plain,
( k5_relset_1(X1,X2,X3) = k2_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_135,negated_conjecture,
k2_funct_5(k4_relat_1(k4_relat_1(esk3_0))) = k1_funct_5(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_126,c_0_59]) ).
cnf(c_0_136,negated_conjecture,
k2_funct_5(k4_relat_1(esk3_0)) = k1_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_119,c_0_59]) ).
fof(c_0_137,plain,
! [X2] :
( ~ v1_relat_1(X2)
| v1_relat_1(k4_relat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])]) ).
cnf(c_0_138,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_140,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_141,negated_conjecture,
k9_relat_1(esk3_0,esk2_0) = k2_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_130,c_0_59]) ).
cnf(c_0_142,negated_conjecture,
( epred4_0
| k1_funct_5(k1_xboole_0) != esk3_0
| ~ v1_xboole_0(k4_relat_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_56]),c_0_59])]) ).
cnf(c_0_143,plain,
( X1 = k1_funct_5(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_132]) ).
cnf(c_0_144,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_47,c_0_120]) ).
fof(c_0_145,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_146,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5) )
& ( r2_hidden(esk4_2(X4,X5),X4)
| r1_tarski(X4,X5) )
& ( ~ r2_hidden(esk4_2(X4,X5),X5)
| r1_tarski(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
cnf(c_0_147,plain,
( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
fof(c_0_148,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ v1_xboole_0(k9_relat_1(esk3_0,X1))
| ~ r1_tarski(esk2_0,X1) ) ),
introduced(definition) ).
fof(c_0_149,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_150,negated_conjecture,
k1_funct_5(k4_relat_1(esk3_0)) = k2_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_88]),c_0_106])]) ).
cnf(c_0_151,negated_conjecture,
( v1_xboole_0(k4_relat_1(esk3_0))
| ~ v1_relat_1(k4_relat_1(esk3_0))
| ~ v1_xboole_0(k1_funct_5(esk3_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_136]) ).
cnf(c_0_152,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_153,plain,
( ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_154,negated_conjecture,
( r1_tarski(k2_funct_5(esk3_0),k9_relat_1(esk3_0,X1))
| ~ r1_tarski(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_106])]) ).
cnf(c_0_155,negated_conjecture,
( epred4_0
| k1_funct_5(k1_xboole_0) != esk3_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_89]),c_0_101])]),c_0_112]) ).
cnf(c_0_156,negated_conjecture,
( k1_funct_5(X1) = esk3_0
| epred4_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_112]) ).
cnf(c_0_157,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)
| ~ m2_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_144,c_0_56]) ).
fof(c_0_158,plain,
! [X3,X4,X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
cnf(c_0_159,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_160,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_161,plain,
( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_56]) ).
cnf(c_0_162,negated_conjecture,
( epred3_0
| ~ r1_tarski(esk2_0,X1)
| ~ v1_xboole_0(k9_relat_1(esk3_0,X1)) ),
inference(split_equiv,[status(thm)],[c_0_148]) ).
cnf(c_0_163,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_164,negated_conjecture,
( v1_xboole_0(k2_funct_5(esk3_0))
| ~ v1_xboole_0(k4_relat_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_132,c_0_150]) ).
cnf(c_0_165,negated_conjecture,
( v1_xboole_0(k4_relat_1(esk3_0))
| ~ v1_xboole_0(k1_funct_5(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_106])]) ).
cnf(c_0_166,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_148]),c_0_69]) ).
cnf(c_0_167,negated_conjecture,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_101])]) ).
cnf(c_0_168,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))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_62]),c_0_63])]) ).
fof(c_0_169,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_170,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_171,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_172,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_173,negated_conjecture,
m1_subset_1(k2_relat_1(esk3_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_161,c_0_59]) ).
cnf(c_0_174,negated_conjecture,
( epred3_0
| ~ v1_xboole_0(k2_funct_5(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_141]),c_0_163])]) ).
cnf(c_0_175,negated_conjecture,
( v1_xboole_0(k2_funct_5(esk3_0))
| ~ v1_xboole_0(k1_funct_5(esk3_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_176,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_177,plain,
( k1_relat_1(X1) = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_122]) ).
cnf(c_0_178,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_72]),c_0_63])]) ).
cnf(c_0_179,plain,
( m1_subset_1(k6_relset_1(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_180,plain,
( X1 = k3_xboole_0(X2,X3)
| ~ r2_hidden(esk5_3(X2,X3,X1),X3)
| ~ r2_hidden(esk5_3(X2,X3,X1),X2)
| ~ r2_hidden(esk5_3(X2,X3,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_181,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_182,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_183,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_184,negated_conjecture,
r1_tarski(k2_relat_1(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_185,negated_conjecture,
~ v1_xboole_0(k1_funct_5(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_186,plain,
( k1_funct_5(X1) = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_177]),c_0_90]) ).
cnf(c_0_187,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m2_relset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_86]),c_0_58]) ).
cnf(c_0_188,plain,
( v1_relat_1(k6_relset_1(X1,X2,X3))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_179]) ).
fof(c_0_189,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| k9_relat_1(k4_relat_1(X7),X8) = k9_relat_1(k4_relat_1(X7),k3_xboole_0(X8,k2_funct_5(X7))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_relset_2])])])])]) ).
fof(c_0_190,plain,
! [X4,X5,X6] :
( ~ r1_tarski(X4,X5)
| ~ r1_tarski(X5,X6)
| r1_tarski(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_191,plain,
( k3_xboole_0(X1,X2) = X2
| ~ r2_hidden(esk5_3(X1,X2,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_83]),c_0_83]) ).
cnf(c_0_192,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_193,negated_conjecture,
( m1_subset_1(X1,esk1_0)
| ~ r2_hidden(X1,k2_relat_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_173]) ).
cnf(c_0_194,negated_conjecture,
( k2_relat_1(esk3_0) = esk1_0
| ~ v1_xboole_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_195,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_101])]) ).
cnf(c_0_196,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_49]) ).
cnf(c_0_197,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_188,c_0_52]) ).
cnf(c_0_198,plain,
( k9_relat_1(k4_relat_1(X1),X2) = k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_199,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_200,negated_conjecture,
r1_tarski(esk3_0,k2_zfmisc_1(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_172,c_0_63]) ).
cnf(c_0_201,plain,
( k3_xboole_0(X1,X2) = X2
| v1_xboole_0(X1)
| ~ m1_subset_1(esk5_3(X1,X2,X2),X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_202,negated_conjecture,
( k3_xboole_0(X1,k2_relat_1(esk3_0)) = k2_relat_1(esk3_0)
| m1_subset_1(esk5_3(X1,k2_relat_1(esk3_0),k2_relat_1(esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_83]) ).
cnf(c_0_203,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_194]),c_0_106])]),c_0_195]) ).
cnf(c_0_204,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k4_relat_1(esk3_0)),esk2_0) != k1_funct_5(esk3_0)
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_52]),c_0_136]) ).
fof(c_0_205,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X5)
| ~ v1_relat_1(X6)
| k9_relat_1(k5_relat_1(X5,X6),X4) = k9_relat_1(X6,k9_relat_1(X5,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])])])]) ).
cnf(c_0_206,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_197,c_0_56]) ).
cnf(c_0_207,plain,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ r1_tarski(X1,k2_zfmisc_1(X3,X4)) ),
inference(spm,[status(thm)],[c_0_198,c_0_139]) ).
cnf(c_0_208,negated_conjecture,
( r1_tarski(X1,k2_zfmisc_1(esk2_0,esk1_0))
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_209,negated_conjecture,
k3_xboole_0(esk1_0,k2_relat_1(esk3_0)) = k2_relat_1(esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).
cnf(c_0_210,plain,
( k9_relat_1(k4_relat_1(X1),X2) = k2_funct_5(k4_relat_1(X1))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_114]) ).
cnf(c_0_211,negated_conjecture,
k9_relat_1(k5_relat_1(esk3_0,k4_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_204,c_0_56]),c_0_59])]) ).
cnf(c_0_212,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_213,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_206,c_0_59]) ).
cnf(c_0_214,negated_conjecture,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_215,negated_conjecture,
k3_xboole_0(esk1_0,k2_funct_5(esk3_0)) = k2_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_93]),c_0_106])]) ).
cnf(c_0_216,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),esk1_0) = k2_funct_5(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_210,c_0_59]) ).
cnf(c_0_217,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k2_funct_5(esk3_0)) != k1_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_141]),c_0_106])]),c_0_213])]) ).
cnf(c_0_218,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_136]),c_0_163])]),c_0_217]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU445+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 08:55:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/20.55 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.36/20.55 # Preprocessing time : 0.019 s
% 0.36/20.55
% 0.36/20.55 # Proof found!
% 0.36/20.55 # SZS status Theorem
% 0.36/20.55 # SZS output start CNFRefutation
% See solution above
% 0.36/20.55 # Proof object total steps : 219
% 0.36/20.55 # Proof object clause steps : 137
% 0.36/20.55 # Proof object formula steps : 82
% 0.36/20.55 # Proof object conjectures : 64
% 0.36/20.55 # Proof object clause conjectures : 61
% 0.36/20.55 # Proof object formula conjectures : 3
% 0.36/20.55 # Proof object initial clauses used : 47
% 0.36/20.55 # Proof object initial formulas used : 40
% 0.36/20.55 # Proof object generating inferences : 89
% 0.36/20.55 # Proof object simplifying inferences : 66
% 0.36/20.55 # Training examples: 0 positive, 0 negative
% 0.36/20.55 # Parsed axioms : 76
% 0.36/20.55 # Removed by relevancy pruning/SinE : 0
% 0.36/20.55 # Initial clauses : 103
% 0.36/20.55 # Removed in clause preprocessing : 11
% 0.36/20.55 # Initial clauses in saturation : 92
% 0.36/20.55 # Processed clauses : 35259
% 0.36/20.55 # ...of these trivial : 813
% 0.36/20.55 # ...subsumed : 24631
% 0.36/20.55 # ...remaining for further processing : 9815
% 0.36/20.55 # Other redundant clauses eliminated : 17
% 0.36/20.55 # Clauses deleted for lack of memory : 801263
% 0.36/20.55 # Backward-subsumed : 579
% 0.36/20.55 # Backward-rewritten : 1941
% 0.36/20.55 # Generated clauses : 1045197
% 0.36/20.55 # ...of the previous two non-trivial : 1017220
% 0.36/20.55 # Contextual simplify-reflections : 16454
% 0.36/20.55 # Paramodulations : 1043276
% 0.36/20.55 # Factorizations : 204
% 0.36/20.55 # Equation resolutions : 114
% 0.36/20.55 # Current number of processed clauses : 6549
% 0.36/20.55 # Positive orientable unit clauses : 829
% 0.36/20.55 # Positive unorientable unit clauses: 1
% 0.36/20.55 # Negative unit clauses : 177
% 0.36/20.55 # Non-unit-clauses : 5542
% 0.36/20.55 # Current number of unprocessed clauses: 124939
% 0.36/20.55 # ...number of literals in the above : 517105
% 0.36/20.55 # Current number of archived formulas : 0
% 0.36/20.55 # Current number of archived clauses : 2521
% 0.36/20.55 # Clause-clause subsumption calls (NU) : 22369290
% 0.36/20.55 # Rec. Clause-clause subsumption calls : 10385314
% 0.36/20.55 # Non-unit clause-clause subsumptions : 34816
% 0.36/20.55 # Unit Clause-clause subsumption calls : 1430459
% 0.36/20.55 # Rewrite failures with RHS unbound : 141
% 0.36/20.55 # BW rewrite match attempts : 7730
% 0.36/20.55 # BW rewrite match successes : 646
% 0.36/20.55 # Condensation attempts : 0
% 0.36/20.55 # Condensation successes : 0
% 0.36/20.55 # Termbank termtop insertions : 24784465
% 0.36/20.55
% 0.36/20.55 # -------------------------------------------------
% 0.36/20.55 # User time : 19.120 s
% 0.36/20.55 # System time : 0.132 s
% 0.36/20.55 # Total time : 19.252 s
% 0.36/20.55 # Maximum resident set size: 145916 pages
% 0.36/23.40 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.42 eprover: No such file or directory
% 0.36/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.43 eprover: No such file or directory
% 0.36/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.43 eprover: No such file or directory
% 0.36/23.43 eprover: CPU time limit exceeded, terminating
% 0.36/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.43 eprover: No such file or directory
% 0.36/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.43 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------