TSTP Solution File: SWC178+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWC178+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:39:44 EDT 2023
% Result : Theorem 0.77s 0.61s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 25
% Syntax : Number of formulae : 156 ( 32 unt; 0 def)
% Number of atoms : 504 ( 201 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 573 ( 225 ~; 246 |; 29 &)
% ( 5 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 172 ( 0 sgn; 108 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ( ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
| neq(X5,X6) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',co1) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax1) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax82) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax17) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax81) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax27) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax5) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax26) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax86) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax83) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax25) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax4) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax15) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax80) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax84) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax23) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax85) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax24) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax78) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax21) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax28) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax19) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax54) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p',ax57) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ( ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
| neq(X5,X6) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_26,negated_conjecture,
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& segmentP(esk4_0,esk3_0)
& ssItem(esk5_0)
& ssItem(esk6_0)
& ssList(esk7_0)
& ssList(esk8_0)
& app(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil)),esk8_0) = esk1_0
& ~ neq(esk5_0,esk6_0)
& ( singletonP(esk3_0)
| ~ neq(esk4_0,nil) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_27,plain,
! [X17,X18] :
( ( ~ neq(X17,X18)
| X17 != X18
| ~ ssItem(X18)
| ~ ssItem(X17) )
& ( X17 = X18
| neq(X17,X18)
| ~ ssItem(X18)
| ~ ssItem(X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).
cnf(c_0_28,negated_conjecture,
app(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil)),esk8_0) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X70,X71,X72] :
( ~ ssList(X70)
| ~ ssList(X71)
| ~ ssList(X72)
| app(app(X70,X71),X72) = app(X70,app(X71,X72)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_31,negated_conjecture,
~ neq(esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
ssItem(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
app(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil)),esk8_0) = esk3_0,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
esk6_0 = esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
ssList(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_39,plain,
! [X77,X78] :
( ~ ssList(X77)
| ~ ssItem(X78)
| ssList(cons(X78,X77)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
cnf(c_0_40,negated_conjecture,
( app(app(esk7_0,app(cons(esk5_0,nil),cons(esk5_0,nil))),esk8_0) = esk3_0
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_37]),c_0_38])]) ).
cnf(c_0_41,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_43,plain,
! [X27,X28] :
( ~ ssList(X27)
| ~ ssItem(X28)
| cons(X28,X27) = app(cons(X28,nil),X27) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_44,negated_conjecture,
app(app(esk7_0,app(cons(esk5_0,nil),cons(esk5_0,nil))),esk8_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_45,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( app(app(esk7_0,cons(esk5_0,cons(esk5_0,nil))),esk8_0) = esk3_0
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_34])]) ).
cnf(c_0_47,negated_conjecture,
app(app(esk7_0,cons(esk5_0,cons(esk5_0,nil))),esk8_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_48,negated_conjecture,
ssList(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_49,negated_conjecture,
( app(esk7_0,app(cons(esk5_0,cons(esk5_0,nil)),esk8_0)) = esk3_0
| ~ ssList(cons(esk5_0,cons(esk5_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_48]),c_0_38])]) ).
cnf(c_0_50,negated_conjecture,
( app(esk7_0,app(cons(esk5_0,cons(esk5_0,nil)),esk8_0)) = esk3_0
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_34])]) ).
fof(c_0_51,plain,
! [X51,X52,X53] :
( ~ ssList(X51)
| ~ ssList(X52)
| ~ ssItem(X53)
| cons(X53,app(X52,X51)) = app(cons(X53,X52),X51) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
cnf(c_0_52,negated_conjecture,
app(esk7_0,app(cons(esk5_0,cons(esk5_0,nil)),esk8_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_53,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_54,plain,
! [X35,X36,X38] :
( ( ssList(esk12_2(X35,X36))
| ~ frontsegP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) )
& ( app(X36,esk12_2(X35,X36)) = X35
| ~ frontsegP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) )
& ( ~ ssList(X38)
| app(X36,X38) != X35
| frontsegP(X35,X36)
| ~ ssList(X36)
| ~ ssList(X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(c_0_55,plain,
! [X49,X50] :
( ~ ssList(X49)
| ~ ssList(X50)
| ssList(app(X49,X50)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_56,negated_conjecture,
( app(esk7_0,cons(esk5_0,app(cons(esk5_0,nil),esk8_0))) = esk3_0
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48]),c_0_34])]) ).
cnf(c_0_57,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
app(esk7_0,cons(esk5_0,app(cons(esk5_0,nil),esk8_0))) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_60,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
app(esk7_0,cons(esk5_0,cons(esk5_0,esk8_0))) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_48]),c_0_34])]) ).
cnf(c_0_62,negated_conjecture,
( frontsegP(esk3_0,esk7_0)
| ~ ssList(cons(esk5_0,cons(esk5_0,esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_38])]) ).
cnf(c_0_63,negated_conjecture,
( frontsegP(esk3_0,esk7_0)
| ~ ssList(cons(esk5_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_41]),c_0_34])]) ).
cnf(c_0_64,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_65,plain,
! [X75,X76] :
( ~ ssList(X75)
| ~ ssList(X76)
| nil = X75
| tl(app(X75,X76)) = app(tl(X75),X76) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
cnf(c_0_66,plain,
( app(X1,esk12_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,negated_conjecture,
frontsegP(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_41]),c_0_48]),c_0_34])]) ).
cnf(c_0_68,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_64,c_0_29]) ).
cnf(c_0_69,plain,
( ssList(esk12_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_70,plain,
! [X29,X30] :
( ( nil = X30
| nil != app(X29,X30)
| ~ ssList(X30)
| ~ ssList(X29) )
& ( nil = X29
| nil != app(X29,X30)
| ~ ssList(X30)
| ~ ssList(X29) )
& ( nil != X30
| nil != X29
| nil = app(X29,X30)
| ~ ssList(X30)
| ~ ssList(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
cnf(c_0_71,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,negated_conjecture,
app(esk7_0,esk12_2(esk3_0,esk7_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_38])]) ).
cnf(c_0_73,negated_conjecture,
ssList(esk12_2(esk3_0,esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_38]),c_0_68])]) ).
fof(c_0_74,plain,
! [X134,X135] :
( ~ ssList(X134)
| ~ ssItem(X135)
| tl(cons(X135,X134)) = X134 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(c_0_75,plain,
! [X32,X34] :
( ( ssItem(esk11_1(X32))
| ~ singletonP(X32)
| ~ ssList(X32) )
& ( cons(esk11_1(X32),nil) = X32
| ~ singletonP(X32)
| ~ ssList(X32) )
& ( ~ ssItem(X34)
| cons(X34,nil) != X32
| singletonP(X32)
| ~ ssList(X32) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
fof(c_0_76,plain,
! [X19,X20] :
( ( ~ neq(X19,X20)
| X19 != X20
| ~ ssList(X20)
| ~ ssList(X19) )
& ( X19 = X20
| neq(X19,X20)
| ~ ssList(X20)
| ~ ssList(X19) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_77,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_79,plain,
! [X67,X68,X69] :
( ~ ssList(X67)
| ~ ssList(X68)
| ~ ssList(X69)
| app(X68,X69) != app(X68,X67)
| X69 = X67 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(c_0_80,plain,
! [X31] :
( ~ ssList(X31)
| app(X31,nil) = X31 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(c_0_81,plain,
! [X85,X86] :
( ~ ssList(X85)
| ~ ssItem(X86)
| hd(cons(X86,X85)) = X86 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(c_0_82,plain,
! [X73,X74] :
( ~ ssList(X73)
| ~ ssList(X74)
| nil = X73
| hd(app(X73,X74)) = hd(X73) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
cnf(c_0_83,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_84,negated_conjecture,
( app(tl(esk7_0),esk12_2(esk3_0,esk7_0)) = tl(esk3_0)
| esk7_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_38])]) ).
fof(c_0_85,plain,
! [X133] :
( ~ ssList(X133)
| nil = X133
| ssList(tl(X133)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_86,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
( cons(esk11_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_88,plain,
( ssItem(esk11_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_89,negated_conjecture,
( singletonP(esk3_0)
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_90,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_91,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_92,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_93,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_94,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_95,plain,
! [X132] :
( ~ ssList(X132)
| nil = X132
| cons(hd(X132),tl(X132)) = X132 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
cnf(c_0_96,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_97,negated_conjecture,
( tl(esk7_0) = nil
| esk7_0 = nil
| tl(esk3_0) != nil
| ~ ssList(tl(esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_73])]) ).
cnf(c_0_98,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_99,plain,
( tl(X1) = nil
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_42])]),c_0_88]) ).
cnf(c_0_100,negated_conjecture,
( esk4_0 = nil
| singletonP(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_42]),c_0_91])]) ).
cnf(c_0_101,plain,
( X1 = nil
| app(X2,X1) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_42])]) ).
cnf(c_0_102,plain,
( esk11_1(X1) = hd(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_87]),c_0_42])]),c_0_88]) ).
cnf(c_0_103,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,negated_conjecture,
( hd(esk7_0) = hd(esk3_0)
| esk7_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_72]),c_0_73]),c_0_38])]) ).
cnf(c_0_105,negated_conjecture,
( tl(esk7_0) = nil
| esk7_0 = nil
| tl(esk3_0) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_38])]) ).
cnf(c_0_106,negated_conjecture,
( tl(esk3_0) = nil
| esk4_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_68])]) ).
cnf(c_0_107,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = nil
| esk7_0 != esk3_0
| ~ ssList(cons(esk5_0,cons(esk5_0,esk8_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_61]),c_0_38])]) ).
cnf(c_0_108,plain,
( cons(hd(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( cons(hd(esk3_0),tl(esk7_0)) = esk7_0
| esk7_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_38])]) ).
cnf(c_0_110,negated_conjecture,
( tl(esk7_0) = nil
| esk4_0 = nil
| esk7_0 = nil ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = nil
| esk7_0 != esk3_0
| ~ ssList(cons(esk5_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_41]),c_0_34])]) ).
cnf(c_0_112,negated_conjecture,
( cons(hd(esk3_0),nil) = esk3_0
| esk4_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_100]),c_0_68])]) ).
cnf(c_0_113,negated_conjecture,
( cons(hd(esk3_0),nil) = esk7_0
| esk4_0 = nil
| esk7_0 = nil ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
fof(c_0_114,plain,
! [X24,X25] :
( ~ ssList(X24)
| ~ ssItem(X25)
| nil != cons(X25,X24) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
cnf(c_0_115,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = nil
| esk7_0 != esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_41]),c_0_48]),c_0_34])]) ).
cnf(c_0_116,negated_conjecture,
( esk7_0 = nil
| esk4_0 = nil
| esk7_0 = esk3_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_117,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_118,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = nil
| esk4_0 = nil
| esk7_0 = nil ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( esk7_0 = nil
| esk4_0 = nil
| ~ ssList(cons(esk5_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_34])]) ).
fof(c_0_120,plain,
! [X26] :
( ~ ssList(X26)
| app(nil,X26) = X26 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_121,negated_conjecture,
( esk4_0 = nil
| esk7_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_41]),c_0_48]),c_0_34])]) ).
cnf(c_0_122,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( app(nil,cons(esk5_0,cons(esk5_0,esk8_0))) = esk3_0
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_61,c_0_121]) ).
fof(c_0_124,plain,
! [X81,X82,X83,X84] :
( ( X83 = X84
| cons(X83,X81) != cons(X84,X82)
| ~ ssItem(X84)
| ~ ssItem(X83)
| ~ ssList(X82)
| ~ ssList(X81) )
& ( X82 = X81
| cons(X83,X81) != cons(X84,X82)
| ~ ssItem(X84)
| ~ ssItem(X83)
| ~ ssList(X82)
| ~ ssList(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
cnf(c_0_125,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = esk3_0
| esk4_0 = nil
| ~ ssList(cons(esk5_0,cons(esk5_0,esk8_0))) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = esk3_0
| esk4_0 = nil
| ~ ssList(cons(esk5_0,esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_41]),c_0_34])]) ).
cnf(c_0_128,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_129,plain,
( nil = X1
| ~ singletonP(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_87]),c_0_42])])]),c_0_88]),c_0_41]) ).
cnf(c_0_130,negated_conjecture,
( cons(esk5_0,cons(esk5_0,esk8_0)) = esk3_0
| esk4_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_41]),c_0_48]),c_0_34])]) ).
cnf(c_0_131,negated_conjecture,
( esk8_0 = nil
| esk3_0 != nil
| ~ ssList(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_35]),c_0_48])]) ).
fof(c_0_132,plain,
! [X102,X103] :
( ~ ssList(X102)
| ~ ssList(X103)
| ~ segmentP(X102,X103)
| ~ segmentP(X103,X102)
| X102 = X103 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
cnf(c_0_133,negated_conjecture,
( cons(esk5_0,esk8_0) = nil
| esk4_0 = nil
| ~ ssList(cons(esk5_0,esk8_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_34])]),c_0_100]) ).
cnf(c_0_134,negated_conjecture,
( esk8_0 = nil
| esk3_0 != nil
| ~ ssList(app(esk7_0,cons(esk5_0,nil)))
| ~ ssList(cons(esk6_0,nil)) ),
inference(spm,[status(thm)],[c_0_131,c_0_58]) ).
cnf(c_0_135,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_136,negated_conjecture,
segmentP(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_137,negated_conjecture,
( cons(esk5_0,esk8_0) = nil
| esk4_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_41]),c_0_48]),c_0_34])]) ).
cnf(c_0_138,negated_conjecture,
( esk7_0 = nil
| esk3_0 != nil
| ~ ssList(app(cons(esk5_0,cons(esk5_0,nil)),esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_52]),c_0_38])]) ).
cnf(c_0_139,negated_conjecture,
( esk8_0 = nil
| esk3_0 != nil
| ~ ssList(app(esk7_0,cons(esk5_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_41]),c_0_42]),c_0_33])]) ).
cnf(c_0_140,negated_conjecture,
( esk3_0 = esk4_0
| ~ segmentP(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_91]),c_0_68])]) ).
cnf(c_0_141,negated_conjecture,
esk4_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_137]),c_0_48]),c_0_34])]) ).
fof(c_0_142,plain,
! [X105] :
( ~ ssList(X105)
| segmentP(X105,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
cnf(c_0_143,negated_conjecture,
( esk7_0 = nil
| esk3_0 != nil
| ~ ssList(cons(esk5_0,cons(esk5_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_58]),c_0_48])]) ).
cnf(c_0_144,negated_conjecture,
( esk8_0 = nil
| esk3_0 != nil
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_58]),c_0_38])]) ).
cnf(c_0_145,negated_conjecture,
( esk3_0 = nil
| ~ segmentP(esk3_0,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141]),c_0_141]) ).
cnf(c_0_146,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_147,negated_conjecture,
( esk7_0 = nil
| esk3_0 != nil
| ~ ssList(cons(esk5_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_41]),c_0_34])]) ).
cnf(c_0_148,negated_conjecture,
( esk8_0 = nil
| esk3_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_149,negated_conjecture,
esk3_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_68])]) ).
cnf(c_0_150,negated_conjecture,
( esk7_0 = nil
| esk3_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_41]),c_0_42]),c_0_34])]) ).
cnf(c_0_151,negated_conjecture,
esk8_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_152,negated_conjecture,
esk7_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_149])]) ).
cnf(c_0_153,negated_conjecture,
cons(esk5_0,cons(esk5_0,nil)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_149]),c_0_151]),c_0_152])]) ).
cnf(c_0_154,negated_conjecture,
~ ssList(cons(esk5_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_153]),c_0_34])]) ).
cnf(c_0_155,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_41]),c_0_42]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWC178+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 2400
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Oct 3 02:21:29 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.jlLNilm3oe/E---3.1_31677.p
% 0.77/0.61 # Version: 3.1pre001
% 0.77/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.61 # Starting sh5l with 300s (1) cores
% 0.77/0.61 # sh5l with pid 31780 completed with status 0
% 0.77/0.61 # Result found by sh5l
% 0.77/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.61 # Starting sh5l with 300s (1) cores
% 0.77/0.61 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.77/0.61 # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.77/0.61 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.61 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.77/0.61 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 31783 completed with status 0
% 0.77/0.61 # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.77/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.77/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.77/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.61 # Starting sh5l with 300s (1) cores
% 0.77/0.61 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.77/0.61 # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.77/0.61 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.61 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.77/0.61 # Preprocessing time : 0.003 s
% 0.77/0.61 # Presaturation interreduction done
% 0.77/0.61
% 0.77/0.61 # Proof found!
% 0.77/0.61 # SZS status Theorem
% 0.77/0.61 # SZS output start CNFRefutation
% See solution above
% 0.77/0.61 # Parsed axioms : 96
% 0.77/0.61 # Removed by relevancy pruning/SinE : 10
% 0.77/0.61 # Initial clauses : 174
% 0.77/0.61 # Removed in clause preprocessing : 2
% 0.77/0.61 # Initial clauses in saturation : 172
% 0.77/0.61 # Processed clauses : 927
% 0.77/0.61 # ...of these trivial : 11
% 0.77/0.61 # ...subsumed : 236
% 0.77/0.61 # ...remaining for further processing : 680
% 0.77/0.61 # Other redundant clauses eliminated : 75
% 0.77/0.61 # Clauses deleted for lack of memory : 0
% 0.77/0.61 # Backward-subsumed : 100
% 0.77/0.61 # Backward-rewritten : 150
% 0.77/0.61 # Generated clauses : 2022
% 0.77/0.61 # ...of the previous two non-redundant : 1842
% 0.77/0.61 # ...aggressively subsumed : 0
% 0.77/0.61 # Contextual simplify-reflections : 79
% 0.77/0.61 # Paramodulations : 1942
% 0.77/0.61 # Factorizations : 1
% 0.77/0.61 # NegExts : 0
% 0.77/0.61 # Equation resolutions : 80
% 0.77/0.61 # Total rewrite steps : 1821
% 0.77/0.61 # Propositional unsat checks : 0
% 0.77/0.61 # Propositional check models : 0
% 0.77/0.61 # Propositional check unsatisfiable : 0
% 0.77/0.61 # Propositional clauses : 0
% 0.77/0.61 # Propositional clauses after purity: 0
% 0.77/0.61 # Propositional unsat core size : 0
% 0.77/0.61 # Propositional preprocessing time : 0.000
% 0.77/0.61 # Propositional encoding time : 0.000
% 0.77/0.61 # Propositional solver time : 0.000
% 0.77/0.61 # Success case prop preproc time : 0.000
% 0.77/0.61 # Success case prop encoding time : 0.000
% 0.77/0.61 # Success case prop solver time : 0.000
% 0.77/0.61 # Current number of processed clauses : 245
% 0.77/0.61 # Positive orientable unit clauses : 31
% 0.77/0.61 # Positive unorientable unit clauses: 0
% 0.77/0.61 # Negative unit clauses : 5
% 0.77/0.61 # Non-unit-clauses : 209
% 0.77/0.61 # Current number of unprocessed clauses: 1184
% 0.77/0.61 # ...number of literals in the above : 6553
% 0.77/0.61 # Current number of archived formulas : 0
% 0.77/0.61 # Current number of archived clauses : 416
% 0.77/0.61 # Clause-clause subsumption calls (NU) : 25953
% 0.77/0.61 # Rec. Clause-clause subsumption calls : 10497
% 0.77/0.61 # Non-unit clause-clause subsumptions : 385
% 0.77/0.61 # Unit Clause-clause subsumption calls : 657
% 0.77/0.61 # Rewrite failures with RHS unbound : 0
% 0.77/0.61 # BW rewrite match attempts : 26
% 0.77/0.61 # BW rewrite match successes : 20
% 0.77/0.61 # Condensation attempts : 0
% 0.77/0.61 # Condensation successes : 0
% 0.77/0.61 # Termbank termtop insertions : 50532
% 0.77/0.61
% 0.77/0.61 # -------------------------------------------------
% 0.77/0.61 # User time : 0.093 s
% 0.77/0.61 # System time : 0.009 s
% 0.77/0.61 # Total time : 0.102 s
% 0.77/0.61 # Maximum resident set size: 2420 pages
% 0.77/0.61
% 0.77/0.61 # -------------------------------------------------
% 0.77/0.61 # User time : 0.096 s
% 0.77/0.61 # System time : 0.012 s
% 0.77/0.61 # Total time : 0.108 s
% 0.77/0.61 # Maximum resident set size: 1804 pages
% 0.77/0.61 % E---3.1 exiting
% 0.77/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------