TSTP Solution File: SEU203+2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:25:14 EDT 2023
% Result : Theorem 12.00s 2.08s
% Output : CNFRefutation 12.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 9 unt; 0 def)
% Number of atoms : 251 ( 30 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 276 ( 104 ~; 127 |; 23 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 100 ( 3 sgn; 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t143_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',t143_relat_1) ).
fof(d13_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',d13_relat_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',t1_subset) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',d2_subset_1) ).
fof(l2_zfmisc_1,lemma,
! [X1,X2] :
( subset(singleton(X1),X2)
<=> in(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',l2_zfmisc_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',t6_boole) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',t20_relat_1) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p',d1_xboole_0) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_dom(X3))
& in(ordered_pair(X4,X1),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t143_relat_1]) ).
fof(c_0_9,plain,
! [X245,X246,X247,X248,X250,X251,X252,X253,X255] :
( ( in(ordered_pair(esk44_4(X245,X246,X247,X248),X248),X245)
| ~ in(X248,X247)
| X247 != relation_image(X245,X246)
| ~ relation(X245) )
& ( in(esk44_4(X245,X246,X247,X248),X246)
| ~ in(X248,X247)
| X247 != relation_image(X245,X246)
| ~ relation(X245) )
& ( ~ in(ordered_pair(X251,X250),X245)
| ~ in(X251,X246)
| in(X250,X247)
| X247 != relation_image(X245,X246)
| ~ relation(X245) )
& ( ~ in(esk45_3(X245,X252,X253),X253)
| ~ in(ordered_pair(X255,esk45_3(X245,X252,X253)),X245)
| ~ in(X255,X252)
| X253 = relation_image(X245,X252)
| ~ relation(X245) )
& ( in(ordered_pair(esk46_3(X245,X252,X253),esk45_3(X245,X252,X253)),X245)
| in(esk45_3(X245,X252,X253),X253)
| X253 = relation_image(X245,X252)
| ~ relation(X245) )
& ( in(esk46_3(X245,X252,X253),X252)
| in(esk45_3(X245,X252,X253),X253)
| X253 = relation_image(X245,X252)
| ~ relation(X245) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_relat_1])])])])])]) ).
fof(c_0_10,plain,
! [X122,X123] :
( ~ in(X122,X123)
| element(X122,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_11,negated_conjecture,
! [X10] :
( relation(esk3_0)
& ( ~ in(esk1_0,relation_image(esk3_0,esk2_0))
| ~ in(X10,relation_dom(esk3_0))
| ~ in(ordered_pair(X10,esk1_0),esk3_0)
| ~ in(X10,esk2_0) )
& ( in(esk4_0,relation_dom(esk3_0))
| in(esk1_0,relation_image(esk3_0,esk2_0)) )
& ( in(ordered_pair(esk4_0,esk1_0),esk3_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) )
& ( in(esk4_0,esk2_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
cnf(c_0_12,plain,
( in(X2,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X1,X4)
| X5 != relation_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( in(ordered_pair(esk4_0,esk1_0),esk3_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
cnf(c_0_16,plain,
( in(X1,relation_image(X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X4,X1),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( element(esk1_0,relation_image(esk3_0,esk2_0))
| in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( in(esk4_0,esk2_0)
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_20,plain,
! [X48,X49] :
( ( ~ element(X49,X48)
| in(X49,X48)
| empty(X48) )
& ( ~ in(X49,X48)
| element(X49,X48)
| empty(X48) )
& ( ~ element(X49,X48)
| empty(X49)
| ~ empty(X48) )
& ( ~ empty(X49)
| element(X49,X48)
| ~ empty(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_21,negated_conjecture,
( element(esk1_0,relation_image(esk3_0,esk2_0))
| in(esk1_0,relation_image(esk3_0,X1))
| ~ in(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
( element(esk1_0,relation_image(esk3_0,esk2_0))
| in(esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
fof(c_0_23,lemma,
! [X111,X112] :
( ( ~ subset(singleton(X111),X112)
| in(X111,X112) )
& ( ~ in(X111,X112)
| subset(singleton(X111),X112) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])]) ).
cnf(c_0_24,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
element(esk1_0,relation_image(esk3_0,esk2_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13]) ).
cnf(c_0_26,plain,
( empty(X1)
| ~ element(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,lemma,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( empty(relation_image(esk3_0,esk2_0))
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X302] :
( ~ empty(X302)
| X302 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_30,negated_conjecture,
( empty(esk1_0)
| ~ empty(relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_31,lemma,
( subset(singleton(esk1_0),relation_image(esk3_0,esk2_0))
| empty(relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
( in(esk44_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,plain,
( in(ordered_pair(esk44_4(X1,X2,X3,X4),X4),X1)
| ~ in(X4,X3)
| X3 != relation_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( subset(singleton(esk1_0),relation_image(esk3_0,esk2_0))
| empty(esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( ~ in(esk1_0,relation_image(esk3_0,esk2_0))
| ~ in(X1,relation_dom(esk3_0))
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
( in(esk44_4(X1,X2,relation_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_32]) ).
fof(c_0_38,lemma,
! [X124,X125,X126] :
( ( in(X124,relation_dom(X126))
| ~ in(ordered_pair(X124,X125),X126)
| ~ relation(X126) )
& ( in(X125,relation_rng(X126))
| ~ in(ordered_pair(X124,X125),X126)
| ~ relation(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_39,plain,
( in(ordered_pair(esk44_4(X1,X2,relation_image(X1,X2),X3),X3),X1)
| ~ relation(X1)
| ~ in(X3,relation_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_40,lemma,
( in(X1,X2)
| ~ subset(singleton(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41,negated_conjecture,
( esk1_0 = empty_set
| subset(singleton(esk1_0),relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk2_0)
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_19]),c_0_18])]) ).
cnf(c_0_44,lemma,
( in(X1,relation_dom(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_19]),c_0_18])]) ).
cnf(c_0_46,negated_conjecture,
( in(esk4_0,relation_dom(esk3_0))
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,lemma,
( esk1_0 = empty_set
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| ~ in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,lemma,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0))
| in(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_18])]) ).
cnf(c_0_50,negated_conjecture,
( in(esk4_0,relation_dom(esk3_0))
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk2_0)
| in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46]),c_0_18])]) ).
cnf(c_0_52,negated_conjecture,
( in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_46]),c_0_18])]) ).
cnf(c_0_53,lemma,
( relation_image(esk3_0,esk2_0) = empty_set
| subset(singleton(esk1_0),relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_54,negated_conjecture,
( esk1_0 = empty_set
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
in(esk4_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( in(esk4_0,relation_dom(esk3_0))
| ~ in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| ~ in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,lemma,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0))
| in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_52]),c_0_18])]) ).
cnf(c_0_58,negated_conjecture,
( in(ordered_pair(esk4_0,esk1_0),esk3_0)
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_59,negated_conjecture,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk2_0)
| in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_14]),c_0_18])]) ).
cnf(c_0_60,negated_conjecture,
( in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_14]),c_0_18])]) ).
cnf(c_0_61,lemma,
( relation_image(esk3_0,esk2_0) = empty_set
| in(esk1_0,relation_image(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( esk1_0 = empty_set
| ~ in(ordered_pair(esk4_0,esk1_0),esk3_0)
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
in(esk4_0,relation_dom(esk3_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_52]) ).
cnf(c_0_64,negated_conjecture,
( in(ordered_pair(esk4_0,esk1_0),esk3_0)
| ~ in(ordered_pair(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),esk1_0),esk3_0)
| ~ in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,lemma,
( in(esk44_4(esk3_0,esk2_0,relation_image(esk3_0,esk2_0),esk1_0),relation_dom(esk3_0))
| in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_60]),c_0_18])]) ).
cnf(c_0_66,negated_conjecture,
( relation_image(esk3_0,esk2_0) = empty_set
| ~ in(ordered_pair(X1,esk1_0),esk3_0)
| ~ in(X1,relation_dom(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_61]) ).
fof(c_0_67,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
cnf(c_0_68,negated_conjecture,
( esk1_0 = empty_set
| ~ in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
in(ordered_pair(esk4_0,esk1_0),esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( relation_image(esk3_0,esk2_0) = empty_set
| ~ in(ordered_pair(esk4_0,esk1_0),esk3_0)
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_55]) ).
fof(c_0_71,plain,
! [X29,X30,X31] :
( ( X29 != empty_set
| ~ in(X30,X29) )
& ( in(esk9_1(X31),X31)
| X31 = empty_set ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])]) ).
cnf(c_0_72,negated_conjecture,
esk1_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
( relation_image(esk3_0,esk2_0) = empty_set
| ~ in(ordered_pair(esk4_0,esk1_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_63])]) ).
cnf(c_0_74,plain,
( X1 != empty_set
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( in(empty_set,relation_image(esk3_0,X1))
| ~ in(esk4_0,X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_69]),c_0_18])]),c_0_72]) ).
cnf(c_0_76,negated_conjecture,
relation_image(esk3_0,esk2_0) = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_69])]) ).
cnf(c_0_77,plain,
~ in(X1,empty_set),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_55]),c_0_76]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SEU203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.16 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n006.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 08:56:40 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.8hTxIHob3i/E---3.1_8637.p
% 12.00/2.08 # Version: 3.1pre001
% 12.00/2.08 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.00/2.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.00/2.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.00/2.08 # Starting new_bool_3 with 300s (1) cores
% 12.00/2.08 # Starting new_bool_1 with 300s (1) cores
% 12.00/2.08 # Starting sh5l with 300s (1) cores
% 12.00/2.08 # sh5l with pid 8724 completed with status 0
% 12.00/2.08 # Result found by sh5l
% 12.00/2.08 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.00/2.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.00/2.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.00/2.08 # Starting new_bool_3 with 300s (1) cores
% 12.00/2.08 # Starting new_bool_1 with 300s (1) cores
% 12.00/2.08 # Starting sh5l with 300s (1) cores
% 12.00/2.08 # SinE strategy is gf500_gu_R04_F100_L20000
% 12.00/2.08 # Search class: FGHSM-FSLM32-SFFFFFNN
% 12.00/2.08 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.00/2.08 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 12.00/2.08 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 8727 completed with status 0
% 12.00/2.08 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 12.00/2.08 # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.00/2.08 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.00/2.08 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.00/2.08 # Starting new_bool_3 with 300s (1) cores
% 12.00/2.08 # Starting new_bool_1 with 300s (1) cores
% 12.00/2.08 # Starting sh5l with 300s (1) cores
% 12.00/2.08 # SinE strategy is gf500_gu_R04_F100_L20000
% 12.00/2.08 # Search class: FGHSM-FSLM32-SFFFFFNN
% 12.00/2.08 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 12.00/2.08 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 12.00/2.08 # Preprocessing time : 0.004 s
% 12.00/2.08
% 12.00/2.08 # Proof found!
% 12.00/2.08 # SZS status Theorem
% 12.00/2.08 # SZS output start CNFRefutation
% See solution above
% 12.00/2.08 # Parsed axioms : 198
% 12.00/2.08 # Removed by relevancy pruning/SinE : 29
% 12.00/2.08 # Initial clauses : 307
% 12.00/2.08 # Removed in clause preprocessing : 2
% 12.00/2.08 # Initial clauses in saturation : 305
% 12.00/2.08 # Processed clauses : 7917
% 12.00/2.08 # ...of these trivial : 92
% 12.00/2.08 # ...subsumed : 4144
% 12.00/2.08 # ...remaining for further processing : 3681
% 12.00/2.08 # Other redundant clauses eliminated : 73
% 12.00/2.08 # Clauses deleted for lack of memory : 0
% 12.00/2.08 # Backward-subsumed : 685
% 12.00/2.08 # Backward-rewritten : 866
% 12.00/2.08 # Generated clauses : 85150
% 12.00/2.08 # ...of the previous two non-redundant : 82174
% 12.00/2.08 # ...aggressively subsumed : 0
% 12.00/2.08 # Contextual simplify-reflections : 156
% 12.00/2.08 # Paramodulations : 85058
% 12.00/2.08 # Factorizations : 18
% 12.00/2.08 # NegExts : 0
% 12.00/2.08 # Equation resolutions : 78
% 12.00/2.08 # Total rewrite steps : 15817
% 12.00/2.08 # Propositional unsat checks : 0
% 12.00/2.08 # Propositional check models : 0
% 12.00/2.08 # Propositional check unsatisfiable : 0
% 12.00/2.08 # Propositional clauses : 0
% 12.00/2.08 # Propositional clauses after purity: 0
% 12.00/2.08 # Propositional unsat core size : 0
% 12.00/2.08 # Propositional preprocessing time : 0.000
% 12.00/2.08 # Propositional encoding time : 0.000
% 12.00/2.08 # Propositional solver time : 0.000
% 12.00/2.08 # Success case prop preproc time : 0.000
% 12.00/2.08 # Success case prop encoding time : 0.000
% 12.00/2.08 # Success case prop solver time : 0.000
% 12.00/2.08 # Current number of processed clauses : 2079
% 12.00/2.08 # Positive orientable unit clauses : 204
% 12.00/2.08 # Positive unorientable unit clauses: 8
% 12.00/2.08 # Negative unit clauses : 68
% 12.00/2.08 # Non-unit-clauses : 1799
% 12.00/2.08 # Current number of unprocessed clauses: 74404
% 12.00/2.08 # ...number of literals in the above : 200206
% 12.00/2.08 # Current number of archived formulas : 0
% 12.00/2.08 # Current number of archived clauses : 1552
% 12.00/2.08 # Clause-clause subsumption calls (NU) : 1111059
% 12.00/2.08 # Rec. Clause-clause subsumption calls : 918325
% 12.00/2.08 # Non-unit clause-clause subsumptions : 3839
% 12.00/2.08 # Unit Clause-clause subsumption calls : 68085
% 12.00/2.08 # Rewrite failures with RHS unbound : 0
% 12.00/2.08 # BW rewrite match attempts : 262
% 12.00/2.08 # BW rewrite match successes : 90
% 12.00/2.08 # Condensation attempts : 0
% 12.00/2.08 # Condensation successes : 0
% 12.00/2.08 # Termbank termtop insertions : 1235177
% 12.00/2.08
% 12.00/2.08 # -------------------------------------------------
% 12.00/2.08 # User time : 1.458 s
% 12.00/2.08 # System time : 0.045 s
% 12.00/2.08 # Total time : 1.503 s
% 12.00/2.08 # Maximum resident set size: 2888 pages
% 12.00/2.08
% 12.00/2.08 # -------------------------------------------------
% 12.00/2.08 # User time : 1.462 s
% 12.00/2.08 # System time : 0.048 s
% 12.00/2.08 # Total time : 1.510 s
% 12.00/2.08 # Maximum resident set size: 1880 pages
% 12.00/2.08 % E---3.1 exiting
% 12.00/2.08 % E---3.1 exiting
%------------------------------------------------------------------------------