TSTP Solution File: SEU291+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU291+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 09:18:41 EDT 2022
% Result : Theorem 0.25s 2.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 90 ( 16 unt; 0 def)
% Number of atoms : 280 ( 113 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 320 ( 130 ~; 131 |; 33 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 151 ( 17 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t9_funct_2,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t9_funct_2) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) )
& ( X2 = empty_set
=> ( X1 = empty_set
| ( quasi_total(X3,X1,X2)
<=> X3 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_funct_2) ).
fof(t16_relset_1,lemma,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_relset_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(t12_relset_1,lemma,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_relset_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).
fof(t1_xboole_1,lemma,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_xboole_1) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_xboole_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(t65_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( relation_dom(X1) = empty_set
<=> relation_rng(X1) = empty_set ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t65_relat_1) ).
fof(t64_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( ( relation_dom(X1) = empty_set
| relation_rng(X1) = empty_set )
=> X1 = empty_set ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t64_relat_1) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t9_funct_2]) ).
fof(c_0_16,negated_conjecture,
( function(esk256_0)
& quasi_total(esk256_0,esk253_0,esk254_0)
& relation_of2_as_subset(esk256_0,esk253_0,esk254_0)
& subset(esk254_0,esk255_0)
& ( esk254_0 != empty_set
| esk253_0 = empty_set )
& ( ~ function(esk256_0)
| ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0)
| ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ function(esk256_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_18,negated_conjecture,
function(esk256_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X6 = empty_set
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X6 != empty_set
| quasi_total(X6,X4,X5)
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])]) ).
fof(c_0_20,lemma,
! [X5,X6,X7,X8] :
( ~ relation_of2_as_subset(X8,X7,X5)
| ~ subset(X5,X6)
| relation_of2_as_subset(X8,X7,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])]) ).
fof(c_0_21,plain,
! [X3,X4,X3] :
( ( X3 != empty_set
| ~ in(X4,X3) )
& ( in(esk34_1(X3),X3)
| X3 = empty_set ) ),
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)],[inference(fof_simplification,[status(thm)],[d1_xboole_0])])])])])])]) ).
fof(c_0_22,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk54_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk54_2(X4,X5),X5)
| subset(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])])])])])])]) ).
fof(c_0_23,lemma,
! [X4,X5,X6] :
( ( subset(relation_dom(X6),X4)
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( subset(relation_rng(X6),X5)
| ~ relation_of2_as_subset(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_25,plain,
( X2 = empty_set
| quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3)
| X3 != empty_set
| X1 != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,lemma,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
relation_of2_as_subset(esk256_0,esk253_0,esk254_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(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_29,plain,
( ~ in(X1,X2)
| X2 != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( subset(X1,X2)
| in(esk54_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( esk253_0 = empty_set
| esk255_0 != empty_set
| esk256_0 != empty_set
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( relation_of2_as_subset(esk256_0,esk253_0,X1)
| ~ subset(esk254_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
subset(esk254_0,esk255_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_35,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( subset(X1,X2)
| X1 != empty_set ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_37,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_38,lemma,
! [X4,X5,X6] :
( ~ subset(X4,X5)
| ~ subset(X5,X6)
| subset(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
fof(c_0_39,lemma,
! [X2] : subset(empty_set,X2),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_40,negated_conjecture,
subset(relation_dom(esk256_0),esk253_0),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_41,negated_conjecture,
( esk253_0 = empty_set
| esk255_0 != empty_set
| esk256_0 != empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_42,plain,
( X1 = X2
| X2 != empty_set
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_43,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_44,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,lemma,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| relation_dom_as_subset(X4,X5,X6) = relation_dom(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
fof(c_0_47,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(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_48,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( subset(relation_dom(esk256_0),empty_set)
| esk255_0 != empty_set
| esk256_0 != empty_set ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( relation_dom(esk256_0) = esk253_0
| esk253_0 != empty_set ),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
fof(c_0_51,lemma,
! [X2] :
( ( relation_dom(X2) != empty_set
| relation_rng(X2) = empty_set
| ~ relation(X2) )
& ( relation_rng(X2) != empty_set
| relation_dom(X2) = empty_set
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t65_relat_1])])]) ).
cnf(c_0_52,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
element(esk256_0,powerset(cartesian_product2(esk253_0,esk254_0))),
inference(spm,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_54,negated_conjecture,
( subset(X1,esk255_0)
| ~ subset(X1,esk254_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_34]) ).
cnf(c_0_55,lemma,
( subset(relation_rng(X1),X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_56,lemma,
! [X2] :
( ( relation_dom(X2) != empty_set
| X2 = empty_set
| ~ relation(X2) )
& ( relation_rng(X2) != empty_set
| X2 = empty_set
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_relat_1])])]) ).
cnf(c_0_57,plain,
( quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3)
| X2 != empty_set
| X2 != relation_dom_as_subset(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,lemma,
( subset(X1,X2)
| ~ subset(X1,empty_set) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( subset(esk253_0,empty_set)
| esk255_0 != empty_set
| esk256_0 != empty_set ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41]) ).
cnf(c_0_62,lemma,
( relation_dom(X1) = empty_set
| ~ relation(X1)
| relation_rng(X1) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,negated_conjecture,
relation(esk256_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk255_0
| esk255_0 != empty_set
| ~ subset(X1,esk254_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_65,negated_conjecture,
subset(relation_rng(esk256_0),esk254_0),
inference(spm,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_66,lemma,
( X1 = empty_set
| ~ relation(X1)
| relation_rng(X1) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,plain,
( quasi_total(X1,X2,X3)
| relation_dom(X1) != X2
| X2 != empty_set
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( relation_dom(esk256_0) = esk253_0
| ~ subset(esk253_0,relation_dom(esk256_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_69,negated_conjecture,
( subset(esk253_0,X1)
| esk255_0 != empty_set
| esk256_0 != empty_set ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,lemma,
( relation_dom(esk256_0) = empty_set
| relation_rng(esk256_0) != empty_set ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( relation_rng(esk256_0) = esk255_0
| esk255_0 != empty_set ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,lemma,
( esk256_0 = empty_set
| relation_rng(esk256_0) != empty_set ),
inference(spm,[status(thm)],[c_0_66,c_0_63]) ).
cnf(c_0_73,negated_conjecture,
( esk253_0 != empty_set
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_67]),c_0_50]) ).
cnf(c_0_74,negated_conjecture,
( relation_dom(esk256_0) = esk253_0
| esk255_0 != empty_set
| esk256_0 != empty_set ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( relation_dom(esk256_0) = empty_set
| esk255_0 != empty_set ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( esk256_0 = empty_set
| esk255_0 != empty_set ),
inference(spm,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_77,plain,
( X3 = empty_set
| quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3)
| X2 != relation_dom_as_subset(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_78,negated_conjecture,
esk253_0 != empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_34])]) ).
cnf(c_0_79,negated_conjecture,
( esk253_0 = empty_set
| esk255_0 != empty_set ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_80,plain,
( X1 = empty_set
| quasi_total(X2,X3,X1)
| relation_dom(X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_58]),c_0_59]) ).
cnf(c_0_81,negated_conjecture,
esk255_0 != empty_set,
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( X3 = empty_set
| X2 = relation_dom_as_subset(X2,X3,X1)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ quasi_total(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_83,negated_conjecture,
( relation_dom(esk256_0) != esk253_0
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_80]),c_0_81]) ).
cnf(c_0_84,negated_conjecture,
( esk253_0 = empty_set
| esk254_0 != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_85,plain,
( relation_dom(X1) = X2
| X3 = empty_set
| ~ quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_58]),c_0_59]) ).
cnf(c_0_86,negated_conjecture,
quasi_total(esk256_0,esk253_0,esk254_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_87,negated_conjecture,
relation_dom(esk256_0) != esk253_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_33]),c_0_34])]) ).
cnf(c_0_88,negated_conjecture,
esk254_0 != empty_set,
inference(spm,[status(thm)],[c_0_78,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_27])]),c_0_87]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU291+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.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 : Mon Jun 20 10:48:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/2.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/2.43 # Preprocessing time : 0.099 s
% 0.25/2.43
% 0.25/2.43 # Proof found!
% 0.25/2.43 # SZS status Theorem
% 0.25/2.43 # SZS output start CNFRefutation
% See solution above
% 0.25/2.43 # Proof object total steps : 90
% 0.25/2.43 # Proof object clause steps : 59
% 0.25/2.43 # Proof object formula steps : 31
% 0.25/2.43 # Proof object conjectures : 36
% 0.25/2.43 # Proof object clause conjectures : 33
% 0.25/2.43 # Proof object formula conjectures : 3
% 0.25/2.43 # Proof object initial clauses used : 24
% 0.25/2.43 # Proof object initial formulas used : 15
% 0.25/2.43 # Proof object generating inferences : 34
% 0.25/2.43 # Proof object simplifying inferences : 19
% 0.25/2.43 # Training examples: 0 positive, 0 negative
% 0.25/2.43 # Parsed axioms : 384
% 0.25/2.43 # Removed by relevancy pruning/SinE : 0
% 0.25/2.43 # Initial clauses : 1450
% 0.25/2.43 # Removed in clause preprocessing : 33
% 0.25/2.43 # Initial clauses in saturation : 1417
% 0.25/2.43 # Processed clauses : 3063
% 0.25/2.43 # ...of these trivial : 45
% 0.25/2.43 # ...subsumed : 1100
% 0.25/2.43 # ...remaining for further processing : 1917
% 0.25/2.43 # Other redundant clauses eliminated : 317
% 0.25/2.43 # Clauses deleted for lack of memory : 0
% 0.25/2.43 # Backward-subsumed : 73
% 0.25/2.43 # Backward-rewritten : 27
% 0.25/2.43 # Generated clauses : 54126
% 0.25/2.43 # ...of the previous two non-trivial : 51531
% 0.25/2.43 # Contextual simplify-reflections : 848
% 0.25/2.43 # Paramodulations : 53741
% 0.25/2.43 # Factorizations : 17
% 0.25/2.43 # Equation resolutions : 400
% 0.25/2.43 # Current number of processed clauses : 1710
% 0.25/2.43 # Positive orientable unit clauses : 129
% 0.25/2.43 # Positive unorientable unit clauses: 3
% 0.25/2.43 # Negative unit clauses : 21
% 0.25/2.43 # Non-unit-clauses : 1557
% 0.25/2.43 # Current number of unprocessed clauses: 47813
% 0.25/2.43 # ...number of literals in the above : 316919
% 0.25/2.43 # Current number of archived formulas : 0
% 0.25/2.43 # Current number of archived clauses : 105
% 0.25/2.43 # Clause-clause subsumption calls (NU) : 1259956
% 0.25/2.43 # Rec. Clause-clause subsumption calls : 266878
% 0.25/2.43 # Non-unit clause-clause subsumptions : 1941
% 0.25/2.43 # Unit Clause-clause subsumption calls : 29122
% 0.25/2.43 # Rewrite failures with RHS unbound : 0
% 0.25/2.43 # BW rewrite match attempts : 52
% 0.25/2.43 # BW rewrite match successes : 31
% 0.25/2.43 # Condensation attempts : 0
% 0.25/2.43 # Condensation successes : 0
% 0.25/2.43 # Termbank termtop insertions : 1357006
% 0.25/2.43
% 0.25/2.43 # -------------------------------------------------
% 0.25/2.43 # User time : 1.021 s
% 0.25/2.43 # System time : 0.028 s
% 0.25/2.43 # Total time : 1.049 s
% 0.25/2.43 # Maximum resident set size: 56980 pages
% 0.25/23.45 eprover: CPU time limit exceeded, terminating
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------