%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU441+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 09:20:17 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 18 unt; 0 def)
% Number of atoms : 200 ( 52 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 189 ( 82 ~; 73 |; 12 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-5 aty)
% Number of variables : 207 ( 15 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(t53_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
& r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t53_relset_2) ).
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(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(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(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(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(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(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(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(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(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(c_0_17,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])]) ).
fof(c_0_18,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])]) ).
fof(c_0_19,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])])]) ).
cnf(c_0_20,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_17]) ).
cnf(c_0_21,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,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])])])]) ).
cnf(c_0_23,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_19]) ).
cnf(c_0_24,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_19]) ).
cnf(c_0_25,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
& r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
inference(assume_negation,[status(cth)],[t53_relset_2]) ).
cnf(c_0_28,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_23,c_0_24]) ).
cnf(c_0_29,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,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])]) ).
fof(c_0_31,negated_conjecture,
( m2_relset_1(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk5_0,esk2_0,esk3_0)
& ( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
| ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
fof(c_0_32,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])]) ).
fof(c_0_33,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])]) ).
cnf(c_0_34,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_28,c_0_21]),c_0_26]),c_0_29]) ).
fof(c_0_35,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_36,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_30]) ).
cnf(c_0_37,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
m2_relset_1(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,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_32]) ).
cnf(c_0_40,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_33]) ).
fof(c_0_41,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])])])]) ).
cnf(c_0_42,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_34,c_0_29]) ).
fof(c_0_43,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_44,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0))
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
fof(c_0_48,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_49,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_50,plain,
( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
k2_funct_5(k4_relat_1(k4_relat_1(esk4_0))) = k1_funct_5(k4_relat_1(esk4_0)),
inference(spm,[status(thm)],[c_0_42,c_0_37]) ).
cnf(c_0_53,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,negated_conjecture,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_funct_5(k5_relat_1(esk4_0,esk5_0))
| ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_47]),c_0_45])]) ).
cnf(c_0_56,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,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_49]) ).
cnf(c_0_58,plain,
( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ r1_tarski(X2,k2_zfmisc_1(X5,X4)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_59,negated_conjecture,
k1_funct_5(k4_relat_1(esk4_0)) = k2_funct_5(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
fof(c_0_60,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])]) ).
cnf(c_0_61,negated_conjecture,
( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) != k2_funct_5(k5_relat_1(esk4_0,esk5_0))
| ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_54])]) ).
cnf(c_0_62,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_23,c_0_57]),c_0_26]) ).
cnf(c_0_63,negated_conjecture,
( m2_relset_1(k5_relat_1(esk4_0,X1),esk1_0,X2)
| ~ r1_tarski(X1,k2_zfmisc_1(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_45]) ).
cnf(c_0_64,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_65,negated_conjecture,
k2_funct_5(k4_relat_1(k4_relat_1(esk4_0))) = k2_funct_5(esk4_0),
inference(rw,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_66,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_60]) ).
fof(c_0_67,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_68,negated_conjecture,
( k2_funct_5(k5_relat_1(esk4_0,esk5_0)) != k9_relat_1(esk5_0,k2_relat_1(esk4_0))
| ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
| ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
fof(c_0_69,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_70,negated_conjecture,
( k9_relat_1(k5_relat_1(esk4_0,X1),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,X1))
| ~ r1_tarski(X1,k2_zfmisc_1(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
r1_tarski(esk5_0,k2_zfmisc_1(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_64,c_0_47]) ).
cnf(c_0_72,negated_conjecture,
( k2_relat_1(k4_relat_1(k4_relat_1(esk4_0))) = k2_funct_5(esk4_0)
| ~ v1_relat_1(k4_relat_1(k4_relat_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_65]) ).
fof(c_0_73,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_74,plain,
( r1_tarski(k5_relset_1(X1,X2,X3),X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_66]) ).
cnf(c_0_75,plain,
( k5_relset_1(X1,X2,X3) = k2_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( k2_funct_5(k5_relat_1(esk4_0,esk5_0)) != k9_relat_1(esk5_0,k2_relat_1(esk4_0))
| ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_26]),c_0_38])]) ).
cnf(c_0_77,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_78,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_69]) ).
cnf(c_0_79,negated_conjecture,
k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
k9_relat_1(esk4_0,esk1_0) = k2_funct_5(esk4_0),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_81,negated_conjecture,
k2_funct_5(esk4_0) = k2_relat_1(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_53]),c_0_54])]) ).
cnf(c_0_82,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_73]) ).
cnf(c_0_83,negated_conjecture,
k9_relat_1(esk5_0,esk2_0) = k2_funct_5(esk5_0),
inference(spm,[status(thm)],[c_0_62,c_0_38]) ).
cnf(c_0_84,plain,
( r1_tarski(k2_relat_1(X1),X2)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( k2_funct_5(k5_relat_1(esk4_0,esk5_0)) != k9_relat_1(esk5_0,k2_relat_1(esk4_0))
| ~ r1_tarski(k2_funct_5(k5_relat_1(esk4_0,esk5_0)),k2_relat_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_56]),c_0_77])]) ).
cnf(c_0_86,negated_conjecture,
k2_funct_5(k5_relat_1(esk4_0,esk5_0)) = k9_relat_1(esk5_0,k2_relat_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),c_0_77]),c_0_54])]) ).
cnf(c_0_87,negated_conjecture,
( r1_tarski(k9_relat_1(esk5_0,X1),k2_funct_5(esk5_0))
| ~ r1_tarski(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_77])]) ).
cnf(c_0_88,plain,
( r1_tarski(k2_relat_1(X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_26]) ).
cnf(c_0_89,negated_conjecture,
~ r1_tarski(k9_relat_1(esk5_0,k2_relat_1(esk4_0)),k2_relat_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).
cnf(c_0_90,negated_conjecture,
( r1_tarski(k9_relat_1(esk5_0,X1),k2_relat_1(esk5_0))
| ~ r1_tarski(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_56]),c_0_77])]) ).
cnf(c_0_91,negated_conjecture,
r1_tarski(k2_relat_1(esk4_0),esk2_0),
inference(spm,[status(thm)],[c_0_88,c_0_37]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU441+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n018.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 01:15:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.017 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 93
% 0.23/1.41 # Proof object clause steps : 58
% 0.23/1.41 # Proof object formula steps : 35
% 0.23/1.41 # Proof object conjectures : 32
% 0.23/1.41 # Proof object clause conjectures : 29
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 21
% 0.23/1.41 # Proof object initial formulas used : 17
% 0.23/1.41 # Proof object generating inferences : 35
% 0.23/1.41 # Proof object simplifying inferences : 31
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 61
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 80
% 0.23/1.41 # Removed in clause preprocessing : 10
% 0.23/1.41 # Initial clauses in saturation : 70
% 0.23/1.41 # Processed clauses : 5290
% 0.23/1.41 # ...of these trivial : 115
% 0.23/1.41 # ...subsumed : 2637
% 0.23/1.41 # ...remaining for further processing : 2538
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 73
% 0.23/1.41 # Backward-rewritten : 831
% 0.23/1.41 # Generated clauses : 75640
% 0.23/1.41 # ...of the previous two non-trivial : 71605
% 0.23/1.41 # Contextual simplify-reflections : 2200
% 0.23/1.41 # Paramodulations : 75417
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 1535
% 0.23/1.41 # Positive orientable unit clauses : 434
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 5
% 0.23/1.41 # Non-unit-clauses : 1096
% 0.23/1.41 # Current number of unprocessed clauses: 39838
% 0.23/1.41 # ...number of literals in the above : 160731
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 904
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 738940
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 424045
% 0.23/1.41 # Non-unit clause-clause subsumptions : 5048
% 0.23/1.41 # Unit Clause-clause subsumption calls : 13522
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 21547
% 0.23/1.41 # BW rewrite match successes : 128
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1276138
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.938 s
% 0.23/1.41 # System time : 0.030 s
% 0.23/1.41 # Total time : 0.969 s
% 0.23/1.41 # Maximum resident set size: 40232 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------