%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU440+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:20:16 EDT 2022
% Result : Theorem 0.50s 50.67s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 117 ( 48 unt; 0 def)
% Number of atoms : 220 ( 65 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 176 ( 73 ~; 65 |; 13 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 184 ( 7 sgn 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t52_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k1_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X4),k1_funct_5(X5))
& r1_tarski(k1_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k1_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t52_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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_relset_1) ).
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/solver/bin/../tmp/theBenchmark.p',redefinition_k9_relset_2) ).
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/solver/bin/../tmp/theBenchmark.p',dt_k9_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/solver/bin/../tmp/theBenchmark.p',redefinition_m2_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/solver/bin/../tmp/theBenchmark.p',redefinition_k6_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/solver/bin/../tmp/theBenchmark.p',cc1_relset_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/sandbox/solver/bin/../tmp/theBenchmark.p',t21_funct_5) ).
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/solver/bin/../tmp/theBenchmark.p',dt_k6_relset_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_relat_1(X2) )
=> v1_relat_1(k5_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> v1_relat_1(k4_relat_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_relat_1) ).
fof(t54_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k4_relat_1(k5_relat_1(X1,X2)) = k5_relat_1(k4_relat_1(X2),k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t54_relat_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/solver/bin/../tmp/theBenchmark.p',t51_relset_2) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k4_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/sandbox/solver/bin/../tmp/theBenchmark.p',t159_relat_1) ).
fof(dt_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k4_relset_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/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_k10_relset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',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/sandbox/solver/bin/../tmp/theBenchmark.p',t156_relat_1) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k1_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X4),k1_funct_5(X5))
& r1_tarski(k1_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k1_funct_5(X4)) ) ) ),
inference(assume_negation,[status(cth)],[t52_relset_2]) ).
fof(c_0_20,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_21,negated_conjecture,
( m2_relset_1(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk5_0,esk2_0,esk3_0)
& ( k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk1_0,k6_relset_1(esk1_0,esk2_0,esk4_0),k1_funct_5(esk5_0))
| ~ r1_tarski(k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k1_funct_5(esk4_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_19])])])])]) ).
fof(c_0_22,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_23,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_20]) ).
cnf(c_0_24,negated_conjecture,
m2_relset_1(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,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_26,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_22]) ).
cnf(c_0_27,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,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_30,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_25]) ).
cnf(c_0_31,negated_conjecture,
( k9_relset_2(X1,esk2_0,esk3_0,X2,esk5_0) = k5_relat_1(X2,esk5_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,esk2_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
fof(c_0_33,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_34,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[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,negated_conjecture,
( m2_relset_1(k9_relset_2(X1,esk2_0,esk3_0,X2,esk5_0),X1,esk3_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,esk2_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_37,negated_conjecture,
k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0) = k5_relat_1(esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
m1_relset_1(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
fof(c_0_40,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])])]) ).
cnf(c_0_41,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]) ).
fof(c_0_42,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_43,plain,
! [X3,X4] :
( ~ v1_relat_1(X3)
| ~ v1_relat_1(X4)
| v1_relat_1(k5_relat_1(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
cnf(c_0_44,negated_conjecture,
m2_relset_1(k5_relat_1(esk4_0,esk5_0),esk1_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_37]) ).
fof(c_0_45,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])]) ).
fof(c_0_46,plain,
! [X3,X4] :
( ~ v1_relat_1(X3)
| ~ v1_relat_1(X4)
| k4_relat_1(k5_relat_1(X3,X4)) = k5_relat_1(k4_relat_1(X4),k4_relat_1(X3)) ),
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)],[t54_relat_1])])])])]) ).
fof(c_0_47,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_48,negated_conjecture,
m1_relset_1(esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
fof(c_0_49,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| k4_relset_1(X4,X5,X6) = k1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
cnf(c_0_50,negated_conjecture,
( ~ r1_tarski(k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k1_funct_5(esk4_0))
| k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk1_0,k6_relset_1(esk1_0,esk2_0,esk4_0),k1_funct_5(esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_51,negated_conjecture,
k6_relset_1(esk1_0,esk2_0,esk4_0) = k4_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_52,plain,
( k1_funct_5(X1) = k1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_41,c_0_27]) ).
cnf(c_0_54,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_42]) ).
cnf(c_0_55,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,negated_conjecture,
m1_relset_1(k5_relat_1(esk4_0,esk5_0),esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
fof(c_0_57,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_58,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,negated_conjecture,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_60,plain,
( k4_relat_1(k5_relat_1(X1,X2)) = k5_relat_1(k4_relat_1(X2),k4_relat_1(X1))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,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_47]) ).
cnf(c_0_62,negated_conjecture,
k6_relset_1(esk2_0,esk3_0,esk5_0) = k4_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
fof(c_0_63,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| m1_subset_1(k4_relset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])]) ).
cnf(c_0_64,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_65,negated_conjecture,
( k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),k1_funct_5(esk5_0))
| ~ r1_tarski(k1_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k1_funct_5(esk4_0)) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_66,negated_conjecture,
k1_funct_5(esk5_0) = k1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_67,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_68,negated_conjecture,
m2_relset_1(k4_relat_1(esk4_0),esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_39]),c_0_51]) ).
cnf(c_0_69,negated_conjecture,
( v1_relat_1(k5_relat_1(X1,esk5_0))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
cnf(c_0_70,negated_conjecture,
k6_relset_1(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)) = k4_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_71,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_57]) ).
cnf(c_0_72,negated_conjecture,
v1_relat_1(k4_relat_1(esk4_0)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_73,negated_conjecture,
( k4_relat_1(k5_relat_1(X1,esk5_0)) = k5_relat_1(k4_relat_1(esk5_0),k4_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_53]) ).
cnf(c_0_74,negated_conjecture,
k10_relset_1(esk3_0,esk2_0,k6_relset_1(esk2_0,esk3_0,esk5_0),esk3_0) = k1_funct_5(esk5_0),
inference(spm,[status(thm)],[c_0_61,c_0_24]) ).
cnf(c_0_75,negated_conjecture,
m2_relset_1(k4_relat_1(esk5_0),esk3_0,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_62]) ).
fof(c_0_76,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_77,plain,
( m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_78,negated_conjecture,
k4_relset_1(esk2_0,esk3_0,esk5_0) = k1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_79,negated_conjecture,
k10_relset_1(esk2_0,esk1_0,k6_relset_1(esk1_0,esk2_0,esk4_0),esk2_0) = k1_funct_5(esk4_0),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_80,negated_conjecture,
( k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),k1_relat_1(esk5_0)) != k1_funct_5(k5_relat_1(esk4_0,esk5_0))
| ~ r1_tarski(k1_funct_5(k5_relat_1(esk4_0,esk5_0)),k1_funct_5(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_37]),c_0_37]) ).
cnf(c_0_81,negated_conjecture,
k1_funct_5(esk4_0) = k1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_52,c_0_59]) ).
cnf(c_0_82,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_67]) ).
cnf(c_0_83,negated_conjecture,
m1_relset_1(k4_relat_1(esk4_0),esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_68]) ).
cnf(c_0_84,negated_conjecture,
k10_relset_1(esk3_0,esk1_0,k6_relset_1(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),esk3_0) = k1_funct_5(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_61,c_0_44]) ).
cnf(c_0_85,negated_conjecture,
v1_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_69,c_0_59]) ).
cnf(c_0_86,negated_conjecture,
m2_relset_1(k4_relat_1(k5_relat_1(esk4_0,esk5_0)),esk3_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_70]) ).
cnf(c_0_87,negated_conjecture,
( k9_relat_1(k5_relat_1(X1,k4_relat_1(esk4_0)),X2) = k9_relat_1(k4_relat_1(esk4_0),k9_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_88,negated_conjecture,
v1_relat_1(k4_relat_1(esk5_0)),
inference(spm,[status(thm)],[c_0_58,c_0_53]) ).
cnf(c_0_89,negated_conjecture,
k5_relat_1(k4_relat_1(esk5_0),k4_relat_1(esk4_0)) = k4_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_73,c_0_59]) ).
cnf(c_0_90,negated_conjecture,
k10_relset_1(esk3_0,esk2_0,k4_relat_1(esk5_0),esk3_0) = k1_funct_5(esk5_0),
inference(rw,[status(thm)],[c_0_74,c_0_62]) ).
cnf(c_0_91,negated_conjecture,
m1_relset_1(k4_relat_1(esk5_0),esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_75]) ).
fof(c_0_92,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_93,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_94,negated_conjecture,
m1_subset_1(k1_relat_1(esk5_0),k1_zfmisc_1(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_48]),c_0_78]) ).
cnf(c_0_95,negated_conjecture,
k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),esk2_0) = k1_funct_5(esk4_0),
inference(rw,[status(thm)],[c_0_79,c_0_51]) ).
cnf(c_0_96,negated_conjecture,
( k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),k1_relat_1(esk5_0)) != k1_funct_5(k5_relat_1(esk4_0,esk5_0))
| ~ r1_tarski(k1_funct_5(k5_relat_1(esk4_0,esk5_0)),k1_relat_1(esk4_0)) ),
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_97,negated_conjecture,
k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),X1) = k9_relat_1(k4_relat_1(esk4_0),X1),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_98,negated_conjecture,
k10_relset_1(esk3_0,esk1_0,k4_relat_1(k5_relat_1(esk4_0,esk5_0)),esk3_0) = k1_funct_5(k5_relat_1(esk4_0,esk5_0)),
inference(rw,[status(thm)],[c_0_84,c_0_70]) ).
cnf(c_0_99,negated_conjecture,
k1_funct_5(k5_relat_1(esk4_0,esk5_0)) = k1_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_52,c_0_85]) ).
cnf(c_0_100,negated_conjecture,
m1_relset_1(k4_relat_1(k5_relat_1(esk4_0,esk5_0)),esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_86]) ).
cnf(c_0_101,negated_conjecture,
k9_relat_1(k4_relat_1(k5_relat_1(esk4_0,esk5_0)),X1) = k9_relat_1(k4_relat_1(esk4_0),k9_relat_1(k4_relat_1(esk5_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_102,negated_conjecture,
k10_relset_1(esk3_0,esk2_0,k4_relat_1(esk5_0),esk3_0) = k1_relat_1(esk5_0),
inference(rw,[status(thm)],[c_0_90,c_0_66]) ).
cnf(c_0_103,negated_conjecture,
k10_relset_1(esk3_0,esk2_0,k4_relat_1(esk5_0),X1) = k9_relat_1(k4_relat_1(esk5_0),X1),
inference(spm,[status(thm)],[c_0_82,c_0_91]) ).
cnf(c_0_104,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_92]) ).
cnf(c_0_105,negated_conjecture,
r1_tarski(k1_relat_1(esk5_0),esk2_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
k10_relset_1(esk2_0,esk1_0,k4_relat_1(esk4_0),esk2_0) = k1_relat_1(esk4_0),
inference(rw,[status(thm)],[c_0_95,c_0_81]) ).
cnf(c_0_107,negated_conjecture,
( k1_funct_5(k5_relat_1(esk4_0,esk5_0)) != k9_relat_1(k4_relat_1(esk4_0),k1_relat_1(esk5_0))
| ~ r1_tarski(k1_funct_5(k5_relat_1(esk4_0,esk5_0)),k1_relat_1(esk4_0)) ),
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
k10_relset_1(esk3_0,esk1_0,k4_relat_1(k5_relat_1(esk4_0,esk5_0)),esk3_0) = k1_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
k10_relset_1(esk3_0,esk1_0,k4_relat_1(k5_relat_1(esk4_0,esk5_0)),X1) = k9_relat_1(k4_relat_1(esk4_0),k9_relat_1(k4_relat_1(esk5_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_100]),c_0_101]) ).
cnf(c_0_110,negated_conjecture,
k9_relat_1(k4_relat_1(esk5_0),esk3_0) = k1_relat_1(esk5_0),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( r1_tarski(k9_relat_1(X1,k1_relat_1(esk5_0)),k9_relat_1(X1,esk2_0))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
k9_relat_1(k4_relat_1(esk4_0),esk2_0) = k1_relat_1(esk4_0),
inference(rw,[status(thm)],[c_0_106,c_0_97]) ).
cnf(c_0_113,negated_conjecture,
( k1_relat_1(k5_relat_1(esk4_0,esk5_0)) != k9_relat_1(k4_relat_1(esk4_0),k1_relat_1(esk5_0))
| ~ r1_tarski(k1_relat_1(k5_relat_1(esk4_0,esk5_0)),k1_relat_1(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_99]),c_0_99]) ).
cnf(c_0_114,negated_conjecture,
k1_relat_1(k5_relat_1(esk4_0,esk5_0)) = k9_relat_1(k4_relat_1(esk4_0),k1_relat_1(esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_115,negated_conjecture,
r1_tarski(k9_relat_1(k4_relat_1(esk4_0),k1_relat_1(esk5_0)),k1_relat_1(esk4_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_72]),c_0_112]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_114]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU440+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 13:13:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.35/23.41
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.45 eprover: CPU time limit exceeded, terminating
% 0.50/50.67 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.50/50.67
% 0.50/50.67 # Failure: Resource limit exceeded (time)
% 0.50/50.67 # OLD status Res
% 0.50/50.67 # Preprocessing time : 0.018 s
% 0.50/50.67 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.50/50.67
% 0.50/50.67 # Failure: Resource limit exceeded (time)
% 0.50/50.67 # OLD status Res
% 0.50/50.67 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.50/50.67 # Preprocessing time : 0.017 s
% 0.50/50.67 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.50/50.67 # Preprocessing time : 0.010 s
% 0.50/50.67
% 0.50/50.67 # Proof found!
% 0.50/50.67 # SZS status Theorem
% 0.50/50.67 # SZS output start CNFRefutation
% See solution above
% 0.50/50.67 # Proof object total steps : 117
% 0.50/50.67 # Proof object clause steps : 78
% 0.50/50.67 # Proof object formula steps : 39
% 0.50/50.67 # Proof object conjectures : 63
% 0.50/50.67 # Proof object clause conjectures : 60
% 0.50/50.67 # Proof object formula conjectures : 3
% 0.50/50.67 # Proof object initial clauses used : 21
% 0.50/50.67 # Proof object initial formulas used : 19
% 0.50/50.67 # Proof object generating inferences : 42
% 0.50/50.67 # Proof object simplifying inferences : 30
% 0.50/50.67 # Training examples: 0 positive, 0 negative
% 0.50/50.67 # Parsed axioms : 62
% 0.50/50.67 # Removed by relevancy pruning/SinE : 0
% 0.50/50.67 # Initial clauses : 81
% 0.50/50.67 # Removed in clause preprocessing : 10
% 0.50/50.67 # Initial clauses in saturation : 71
% 0.50/50.67 # Processed clauses : 12670
% 0.50/50.67 # ...of these trivial : 277
% 0.50/50.67 # ...subsumed : 320
% 0.50/50.67 # ...remaining for further processing : 12073
% 0.50/50.67 # Other redundant clauses eliminated : 0
% 0.50/50.67 # Clauses deleted for lack of memory : 111775
% 0.50/50.67 # Backward-subsumed : 1
% 0.50/50.67 # Backward-rewritten : 1475
% 0.50/50.67 # Generated clauses : 217850
% 0.50/50.67 # ...of the previous two non-trivial : 214993
% 0.50/50.67 # Contextual simplify-reflections : 11
% 0.50/50.67 # Paramodulations : 217850
% 0.50/50.67 # Factorizations : 0
% 0.50/50.67 # Equation resolutions : 0
% 0.50/50.67 # Current number of processed clauses : 10597
% 0.50/50.67 # Positive orientable unit clauses : 8540
% 0.50/50.67 # Positive unorientable unit clauses: 152
% 0.50/50.67 # Negative unit clauses : 42
% 0.50/50.67 # Non-unit-clauses : 1863
% 0.50/50.67 # Current number of unprocessed clauses: 58317
% 0.50/50.67 # ...number of literals in the above : 78550
% 0.50/50.67 # Current number of archived formulas : 0
% 0.50/50.67 # Current number of archived clauses : 1476
% 0.50/50.67 # Clause-clause subsumption calls (NU) : 184884
% 0.50/50.67 # Rec. Clause-clause subsumption calls : 145975
% 0.50/50.67 # Non-unit clause-clause subsumptions : 200
% 0.50/50.67 # Unit Clause-clause subsumption calls : 364319
% 0.50/50.67 # Rewrite failures with RHS unbound : 0
% 0.50/50.67 # BW rewrite match attempts : 972875
% 0.50/50.67 # BW rewrite match successes : 579
% 0.50/50.67 # Condensation attempts : 0
% 0.50/50.67 # Condensation successes : 0
% 0.50/50.67 # Termbank termtop insertions : 5375957
% 0.50/50.67
% 0.50/50.67 # -------------------------------------------------
% 0.50/50.67 # User time : 3.178 s
% 0.50/50.67 # System time : 0.101 s
% 0.50/50.67 # Total time : 3.279 s
% 0.50/50.67 # Maximum resident set size: 152000 pages
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