TSTP Solution File: SWC383+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWC383+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 19:42:53 EDT 2023
% Result : Theorem 260.13s 33.40s
% Output : CNFRefutation 260.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 171 ( 16 unt; 0 def)
% Number of atoms : 646 ( 232 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 832 ( 357 ~; 371 |; 48 &)
% ( 5 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 260 ( 0 sgn; 92 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax83) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax16) ).
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.IJ6kSi14Kv/E---3.1_24980.p',ax27) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax26) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax17) ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X5,X6) ) ) )
& ( nil != X4
| nil != X3 ) )
| ( singletonP(X1)
& segmentP(X2,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',co1) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax21) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax81) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax79) ).
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.IJ6kSi14Kv/E---3.1_24980.p',ax82) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.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.IJ6kSi14Kv/E---3.1_24980.p',ax19) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax20) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax18) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax4) ).
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.IJ6kSi14Kv/E---3.1_24980.p',ax80) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax84) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax3) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax7) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p',ax15) ).
fof(c_0_20,plain,
! [X96,X97] :
( ( nil = X97
| nil != app(X96,X97)
| ~ ssList(X97)
| ~ ssList(X96) )
& ( nil = X96
| nil != app(X96,X97)
| ~ ssList(X97)
| ~ ssList(X96) )
& ( nil != X97
| nil != X96
| nil = app(X96,X97)
| ~ ssList(X97)
| ~ ssList(X96) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
fof(c_0_21,plain,
! [X67,X68] :
( ~ ssList(X67)
| ~ ssItem(X68)
| ssList(cons(X68,X67)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(c_0_22,plain,
! [X75,X76,X77] :
( ~ ssList(X75)
| ~ ssList(X76)
| ~ ssItem(X77)
| cons(X77,app(X76,X75)) = app(cons(X77,X76),X75) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
fof(c_0_23,plain,
! [X84,X85] :
( ~ ssList(X84)
| ~ ssList(X85)
| ssList(app(X84,X85)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_24,plain,
( nil = app(X2,X1)
| nil != X1
| nil != X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_26,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]),c_0_25])]) ).
fof(c_0_30,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X5,X6) ) ) )
& ( nil != X4
| nil != X3 ) )
| ( singletonP(X1)
& segmentP(X2,X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_31,plain,
! [X37,X38] :
( ~ ssList(X37)
| ~ ssItem(X38)
| nil != cons(X38,X37) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(c_0_32,plain,
! [X78,X79] :
( ~ ssList(X78)
| ~ ssItem(X79)
| cons(X79,X78) = app(cons(X79,nil),X78) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_33,plain,
( ssList(app(cons(X1,X2),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_34,plain,
( app(cons(X1,nil),nil) = cons(X1,nil)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_29]),c_0_25])]) ).
fof(c_0_35,negated_conjecture,
! [X12] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& neq(esk2_0,nil)
& ( nil = esk4_0
| ssItem(esk5_0) )
& ( nil = esk3_0
| ssItem(esk5_0) )
& ( nil = esk4_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk3_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk4_0
| memberP(esk4_0,esk5_0) )
& ( nil = esk3_0
| memberP(esk4_0,esk5_0) )
& ( nil = esk4_0
| ~ ssItem(X12)
| esk5_0 = X12
| ~ memberP(esk4_0,X12)
| ~ leq(esk5_0,X12) )
& ( nil = esk3_0
| ~ ssItem(X12)
| esk5_0 = X12
| ~ memberP(esk4_0,X12)
| ~ leq(esk5_0,X12) )
& ( ~ singletonP(esk1_0)
| ~ segmentP(esk2_0,esk1_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_30])])])])]) ).
fof(c_0_36,plain,
! [X87,X88,X89] :
( ~ ssList(X87)
| ~ ssList(X88)
| ~ ssList(X89)
| app(X89,X88) != app(X87,X88)
| X89 = X87 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
fof(c_0_37,plain,
! [X93,X94,X95] :
( ~ ssList(X93)
| ~ ssList(X94)
| ~ ssList(X95)
| app(app(X93,X94),X95) = app(X93,app(X94,X95)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(c_0_38,plain,
! [X86] :
( ~ ssList(X86)
| app(nil,X86) = X86 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_39,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]) ).
fof(c_0_42,plain,
! [X71,X72,X73,X74] :
( ( X73 = X74
| cons(X73,X71) != cons(X74,X72)
| ~ ssItem(X74)
| ~ ssItem(X73)
| ~ ssList(X72)
| ~ ssList(X71) )
& ( X72 = X71
| cons(X73,X71) != cons(X74,X72)
| ~ ssItem(X74)
| ~ ssItem(X73)
| ~ ssList(X72)
| ~ ssList(X71) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
fof(c_0_43,plain,
! [X34] :
( ( ssList(esk9_1(X34))
| nil = X34
| ~ ssList(X34) )
& ( ssItem(esk10_1(X34))
| nil = X34
| ~ ssList(X34) )
& ( cons(esk10_1(X34),esk9_1(X34)) = X34
| nil = X34
| ~ ssList(X34) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
cnf(c_0_44,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,plain,
! [X69,X70] :
( ~ ssList(X69)
| ~ ssItem(X70)
| cons(X70,X69) != X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
cnf(c_0_47,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,plain,
( app(cons(X1,X2),X3) != nil
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_28]) ).
cnf(c_0_51,plain,
( app(cons(X1,cons(X2,nil)),X3) = cons(X1,cons(X2,X3))
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_40]),c_0_41]) ).
cnf(c_0_52,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( nil = esk3_0
| cons(esk5_0,nil) = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( nil = esk3_0
| ssItem(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,plain,
( cons(esk10_1(X1),esk9_1(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_57,plain,
( ssItem(esk10_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_58,plain,
( ssList(esk9_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_60,plain,
! [X31,X33] :
( ( ssItem(esk8_1(X31))
| ~ singletonP(X31)
| ~ ssList(X31) )
& ( cons(esk8_1(X31),nil) = X31
| ~ singletonP(X31)
| ~ ssList(X31) )
& ( ~ ssItem(X33)
| cons(X33,nil) != X31
| singletonP(X31)
| ~ ssList(X31) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
cnf(c_0_61,plain,
( X1 = app(X2,X3)
| app(X1,X4) != app(X2,app(X3,X4))
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_28]) ).
cnf(c_0_62,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25])]) ).
cnf(c_0_63,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_64,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
( cons(X1,cons(X2,X3)) != nil
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_41]) ).
cnf(c_0_66,negated_conjecture,
( esk3_0 = nil
| nil = X1
| cons(X2,X1) != esk3_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25])]),c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( cons(esk10_1(esk3_0),esk9_1(esk3_0)) = esk3_0
| esk3_0 = nil ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( esk3_0 = nil
| ssItem(esk10_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_69,negated_conjecture,
( esk3_0 = nil
| ssList(esk9_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_70,plain,
( app(cons(X1,X2),X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_27]),c_0_28]) ).
cnf(c_0_71,plain,
( cons(esk8_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( ssItem(esk8_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
( X1 = app(nil,X2)
| app(X1,X3) != app(X2,X3)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_25])]) ).
cnf(c_0_74,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_75,plain,
! [X90,X91,X92] :
( ~ ssList(X90)
| ~ ssList(X91)
| ~ ssList(X92)
| app(X91,X92) != app(X91,X90)
| X92 = X90 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
fof(c_0_76,plain,
! [X98] :
( ~ ssList(X98)
| app(X98,nil) = X98 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_77,plain,
( app(nil,app(nil,X1)) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_29]),c_0_25])]) ).
cnf(c_0_78,plain,
( cons(X1,app(cons(X2,X3),X4)) != nil
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_28]) ).
cnf(c_0_79,negated_conjecture,
( esk9_1(esk3_0) = nil
| esk3_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_80,plain,
( app(X1,X2) != app(nil,X2)
| ~ singletonP(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_25])]),c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( X1 = app(nil,X2)
| app(X1,esk4_0) != app(X2,esk4_0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_48]),c_0_28]) ).
cnf(c_0_85,plain,
( X1 = nil
| app(X1,X2) != app(nil,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_77]),c_0_29]),c_0_25])]) ).
cnf(c_0_86,plain,
( cons(X1,cons(X2,nil)) != nil
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_34]),c_0_25])]) ).
cnf(c_0_87,negated_conjecture,
( cons(esk10_1(esk3_0),nil) = esk3_0
| esk3_0 = nil ),
inference(spm,[status(thm)],[c_0_67,c_0_79]) ).
cnf(c_0_88,plain,
( app(X1,X2) != X2
| ~ singletonP(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_49]) ).
cnf(c_0_89,plain,
( app(app(X1,app(X2,X3)),X4) = app(app(X1,X2),app(X3,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_48]),c_0_28]) ).
cnf(c_0_90,negated_conjecture,
( app(nil,X1) = esk3_0
| app(esk3_0,esk4_0) != app(X1,esk4_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_56]) ).
cnf(c_0_91,plain,
( X1 = nil
| app(nil,X1) != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_29]),c_0_25])]) ).
cnf(c_0_92,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_48]),c_0_25])]),c_0_28]) ).
cnf(c_0_93,plain,
( ssList(app(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_29]),c_0_25])]) ).
cnf(c_0_94,plain,
( cons(X1,cons(X2,X3)) != app(nil,X3)
| ~ ssList(cons(X1,cons(X2,nil)))
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_51]),c_0_86]) ).
cnf(c_0_95,plain,
( ssList(cons(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_51]),c_0_41]) ).
cnf(c_0_96,negated_conjecture,
( cons(esk10_1(esk3_0),X1) = app(esk3_0,X1)
| esk3_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_87]),c_0_68]) ).
cnf(c_0_97,plain,
( app(app(X1,X2),app(X3,X4)) != X4
| ~ singletonP(app(X1,app(X2,X3)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_84]) ).
cnf(c_0_98,negated_conjecture,
app(nil,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_56])]) ).
cnf(c_0_99,plain,
( app(X1,nil) = nil
| app(nil,X1) != nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_25])]),c_0_93]) ).
cnf(c_0_100,plain,
( cons(X1,cons(X2,X3)) != app(nil,X3)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_25])]) ).
cnf(c_0_101,negated_conjecture,
( cons(esk10_1(esk3_0),esk3_0) = app(esk3_0,esk3_0)
| esk3_0 = nil ),
inference(spm,[status(thm)],[c_0_96,c_0_56]) ).
cnf(c_0_102,negated_conjecture,
( app(app(X1,X2),esk3_0) != esk3_0
| ~ singletonP(app(X1,app(X2,nil)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_56]),c_0_25])]) ).
cnf(c_0_103,negated_conjecture,
( app(esk3_0,nil) = nil
| esk3_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_98]),c_0_56])]) ).
cnf(c_0_104,negated_conjecture,
( esk3_0 = nil
| cons(X1,app(esk3_0,esk3_0)) != esk3_0
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_98]),c_0_56])]),c_0_68]) ).
cnf(c_0_105,negated_conjecture,
( app(app(X1,esk3_0),esk3_0) != esk3_0
| esk3_0 != nil
| ~ singletonP(app(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_56])]) ).
cnf(c_0_106,negated_conjecture,
( esk3_0 = nil
| app(cons(X1,esk3_0),esk3_0) != esk3_0
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_27]),c_0_56])]) ).
cnf(c_0_107,plain,
( cons(esk8_1(X1),X2) = app(X1,X2)
| ~ singletonP(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_71]),c_0_72]) ).
cnf(c_0_108,negated_conjecture,
( app(app(X1,esk3_0),esk3_0) != esk3_0
| esk3_0 != nil
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_83]) ).
cnf(c_0_109,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_110,negated_conjecture,
( app(app(X1,esk3_0),esk3_0) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_56])]),c_0_72]),c_0_108]) ).
cnf(c_0_111,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( nil = esk4_0
| cons(esk5_0,nil) = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_113,negated_conjecture,
( nil = esk4_0
| ssItem(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_114,negated_conjecture,
( app(app(cons(X1,nil),esk3_0),esk3_0) != esk3_0
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_41]) ).
cnf(c_0_115,negated_conjecture,
( cons(esk5_0,X1) = app(esk3_0,X1)
| esk4_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_112]),c_0_113]) ).
fof(c_0_116,plain,
! [X52,X53,X56,X57] :
( ( ssList(esk11_2(X52,X53))
| ~ memberP(X52,X53)
| ~ ssItem(X53)
| ~ ssList(X52) )
& ( ssList(esk12_2(X52,X53))
| ~ memberP(X52,X53)
| ~ ssItem(X53)
| ~ ssList(X52) )
& ( app(esk11_2(X52,X53),cons(X53,esk12_2(X52,X53))) = X52
| ~ memberP(X52,X53)
| ~ ssItem(X53)
| ~ ssList(X52) )
& ( ~ ssList(X56)
| ~ ssList(X57)
| app(X56,cons(X53,X57)) != X52
| memberP(X52,X53)
| ~ ssItem(X53)
| ~ ssList(X52) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).
cnf(c_0_117,negated_conjecture,
( app(app(app(X1,nil),esk3_0),esk3_0) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_107]),c_0_25])]),c_0_72]) ).
cnf(c_0_118,plain,
( app(nil,X1) = app(X1,nil)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_92]),c_0_25])]),c_0_93]) ).
cnf(c_0_119,negated_conjecture,
( cons(esk5_0,nil) = app(esk3_0,nil)
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_115,c_0_25]) ).
fof(c_0_120,plain,
! [X13,X14,X17,X18] :
( ( ssList(esk6_2(X13,X14))
| ~ segmentP(X13,X14)
| ~ ssList(X14)
| ~ ssList(X13) )
& ( ssList(esk7_2(X13,X14))
| ~ segmentP(X13,X14)
| ~ ssList(X14)
| ~ ssList(X13) )
& ( app(app(esk6_2(X13,X14),X14),esk7_2(X13,X14)) = X13
| ~ segmentP(X13,X14)
| ~ ssList(X14)
| ~ ssList(X13) )
& ( ~ ssList(X17)
| ~ ssList(X18)
| app(app(X17,X14),X18) != X13
| segmentP(X13,X14)
| ~ ssList(X14)
| ~ ssList(X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
cnf(c_0_121,negated_conjecture,
( cons(esk5_0,X1) = app(esk3_0,X1)
| esk3_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_53]),c_0_54]) ).
cnf(c_0_122,plain,
( ssList(esk12_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( app(app(app(nil,X1),esk3_0),esk3_0) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( app(esk3_0,nil) = esk3_0
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_112,c_0_119]) ).
cnf(c_0_125,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_126,negated_conjecture,
( cons(esk5_0,esk12_2(X1,X2)) = app(esk3_0,esk12_2(X1,X2))
| esk3_0 = nil
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
( nil = esk3_0
| memberP(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_128,negated_conjecture,
( ~ singletonP(esk1_0)
| ~ segmentP(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_129,negated_conjecture,
( app(app(nil,app(X1,esk3_0)),esk3_0) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_48]),c_0_56]),c_0_25])]) ).
cnf(c_0_130,negated_conjecture,
( app(cons(X1,esk3_0),nil) = cons(X1,esk3_0)
| esk4_0 = nil
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_124]),c_0_56]),c_0_25])]) ).
cnf(c_0_131,plain,
( app(cons(X1,nil),app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_41]) ).
cnf(c_0_132,negated_conjecture,
( app(app(esk3_0,nil),X1) = cons(esk5_0,X1)
| esk4_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_119]),c_0_113]) ).
cnf(c_0_133,negated_conjecture,
( esk4_0 = nil
| ssList(app(esk3_0,nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_119]),c_0_25])]),c_0_113]) ).
cnf(c_0_134,negated_conjecture,
( cons(esk5_0,esk3_0) = app(esk3_0,esk3_0)
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_115,c_0_56]) ).
cnf(c_0_135,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_125]) ).
cnf(c_0_136,plain,
( app(esk11_2(X1,X2),cons(X2,esk12_2(X1,X2))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_137,negated_conjecture,
( cons(esk5_0,esk12_2(esk4_0,esk5_0)) = app(esk3_0,esk12_2(esk4_0,esk5_0))
| esk3_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_74])]),c_0_54]) ).
cnf(c_0_138,negated_conjecture,
( ~ segmentP(esk4_0,esk3_0)
| ~ singletonP(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_45]),c_0_64]),c_0_45]) ).
cnf(c_0_139,negated_conjecture,
( esk3_0 = nil
| singletonP(esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_53]),c_0_56])]),c_0_54]) ).
cnf(c_0_140,negated_conjecture,
( app(app(nil,X1),app(esk3_0,esk3_0)) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_89]),c_0_56]),c_0_25])]) ).
cnf(c_0_141,plain,
( app(app(X1,X2),app(X3,X4)) = app(X1,app(app(X2,X3),X4))
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_89]),c_0_28]) ).
cnf(c_0_142,negated_conjecture,
( app(cons(esk5_0,esk3_0),nil) = cons(esk5_0,esk3_0)
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_130,c_0_113]) ).
cnf(c_0_143,plain,
( app(cons(X1,X2),nil) = app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_131]),c_0_25])]),c_0_41]) ).
cnf(c_0_144,negated_conjecture,
( app(app(esk3_0,nil),nil) = cons(esk5_0,nil)
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_132,c_0_25]) ).
cnf(c_0_145,plain,
( singletonP(app(X1,nil))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_107]),c_0_25])]),c_0_72]),c_0_93]) ).
cnf(c_0_146,negated_conjecture,
( esk4_0 = nil
| singletonP(app(esk3_0,nil)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_119]),c_0_113]),c_0_133]) ).
cnf(c_0_147,negated_conjecture,
( esk4_0 = nil
| ssList(app(esk3_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_134]),c_0_56])]),c_0_113]) ).
cnf(c_0_148,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_48]),c_0_84]) ).
cnf(c_0_149,negated_conjecture,
( app(esk11_2(esk4_0,esk5_0),app(esk3_0,esk12_2(esk4_0,esk5_0))) = esk4_0
| esk3_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_74])]),c_0_54]),c_0_127]) ).
cnf(c_0_150,negated_conjecture,
( esk3_0 = nil
| ~ segmentP(esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_151,negated_conjecture,
( app(nil,app(app(X1,esk3_0),esk3_0)) != esk3_0
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_56]),c_0_25])]) ).
cnf(c_0_152,negated_conjecture,
( app(cons(esk5_0,nil),esk3_0) = cons(esk5_0,esk3_0)
| esk4_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_56])]),c_0_113]) ).
cnf(c_0_153,negated_conjecture,
( esk4_0 = nil
| ssList(cons(esk5_0,nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_144]),c_0_25])]),c_0_133]) ).
cnf(c_0_154,negated_conjecture,
( esk4_0 = nil
| singletonP(cons(esk5_0,nil)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_144]),c_0_133]),c_0_146]) ).
cnf(c_0_155,negated_conjecture,
( cons(esk5_0,app(esk3_0,esk3_0)) = app(esk3_0,app(esk3_0,esk3_0))
| esk4_0 = nil ),
inference(spm,[status(thm)],[c_0_115,c_0_147]) ).
cnf(c_0_156,negated_conjecture,
( esk3_0 = nil
| ~ ssList(esk12_2(esk4_0,esk5_0))
| ~ ssList(esk11_2(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_56])]),c_0_150]) ).
cnf(c_0_157,negated_conjecture,
( esk4_0 = nil
| app(nil,app(cons(esk5_0,esk3_0),esk3_0)) != esk3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( app(cons(esk5_0,esk3_0),esk3_0) = app(esk3_0,app(esk3_0,esk3_0))
| esk4_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_155]),c_0_56])]),c_0_113]) ).
cnf(c_0_159,negated_conjecture,
( esk3_0 = nil
| ~ ssList(esk11_2(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_122]),c_0_74])]),c_0_54]),c_0_127]) ).
cnf(c_0_160,plain,
( ssList(esk11_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_161,plain,
! [X82,X83] :
( ( ~ neq(X82,X83)
| X82 != X83
| ~ ssList(X83)
| ~ ssList(X82) )
& ( X82 = X83
| neq(X82,X83)
| ~ ssList(X83)
| ~ ssList(X82) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_162,negated_conjecture,
neq(esk2_0,nil),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_163,negated_conjecture,
( esk4_0 = nil
| app(nil,app(esk3_0,app(esk3_0,esk3_0))) != esk3_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
esk3_0 = nil,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_74])]),c_0_54]),c_0_127]) ).
cnf(c_0_165,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_166,negated_conjecture,
neq(esk4_0,nil),
inference(rw,[status(thm)],[c_0_162,c_0_64]) ).
cnf(c_0_167,negated_conjecture,
esk4_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_164]),c_0_164]),c_0_29]),c_0_29]),c_0_29]),c_0_164])]) ).
cnf(c_0_168,plain,
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(er,[status(thm)],[c_0_165]) ).
cnf(c_0_169,negated_conjecture,
neq(nil,nil),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC383+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 02:06:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.IJ6kSi14Kv/E---3.1_24980.p
% 260.13/33.40 # Version: 3.1pre001
% 260.13/33.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 260.13/33.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.13/33.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 260.13/33.40 # Starting new_bool_3 with 300s (1) cores
% 260.13/33.40 # Starting new_bool_1 with 300s (1) cores
% 260.13/33.40 # Starting sh5l with 300s (1) cores
% 260.13/33.40 # new_bool_3 with pid 25123 completed with status 0
% 260.13/33.40 # Result found by new_bool_3
% 260.13/33.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 260.13/33.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.13/33.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 260.13/33.40 # Starting new_bool_3 with 300s (1) cores
% 260.13/33.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 260.13/33.40 # Search class: FGHSF-FFMM21-MFFFFFNN
% 260.13/33.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 260.13/33.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 260.13/33.40 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25128 completed with status 0
% 260.13/33.40 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 260.13/33.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 260.13/33.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.13/33.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 260.13/33.40 # Starting new_bool_3 with 300s (1) cores
% 260.13/33.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 260.13/33.40 # Search class: FGHSF-FFMM21-MFFFFFNN
% 260.13/33.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 260.13/33.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 260.13/33.40 # Preprocessing time : 0.002 s
% 260.13/33.40 # Presaturation interreduction done
% 260.13/33.40
% 260.13/33.40 # Proof found!
% 260.13/33.40 # SZS status Theorem
% 260.13/33.40 # SZS output start CNFRefutation
% See solution above
% 260.13/33.40 # Parsed axioms : 96
% 260.13/33.40 # Removed by relevancy pruning/SinE : 55
% 260.13/33.40 # Initial clauses : 80
% 260.13/33.40 # Removed in clause preprocessing : 0
% 260.13/33.40 # Initial clauses in saturation : 80
% 260.13/33.40 # Processed clauses : 80868
% 260.13/33.40 # ...of these trivial : 1236
% 260.13/33.40 # ...subsumed : 67500
% 260.13/33.40 # ...remaining for further processing : 12132
% 260.13/33.40 # Other redundant clauses eliminated : 1951
% 260.13/33.40 # Clauses deleted for lack of memory : 0
% 260.13/33.40 # Backward-subsumed : 788
% 260.13/33.40 # Backward-rewritten : 8804
% 260.13/33.40 # Generated clauses : 1905925
% 260.13/33.40 # ...of the previous two non-redundant : 1881232
% 260.13/33.40 # ...aggressively subsumed : 0
% 260.13/33.40 # Contextual simplify-reflections : 7104
% 260.13/33.40 # Paramodulations : 1903903
% 260.13/33.40 # Factorizations : 0
% 260.13/33.40 # NegExts : 0
% 260.13/33.40 # Equation resolutions : 2023
% 260.13/33.40 # Total rewrite steps : 588451
% 260.13/33.40 # Propositional unsat checks : 2
% 260.13/33.40 # Propositional check models : 0
% 260.13/33.40 # Propositional check unsatisfiable : 0
% 260.13/33.40 # Propositional clauses : 0
% 260.13/33.40 # Propositional clauses after purity: 0
% 260.13/33.40 # Propositional unsat core size : 0
% 260.13/33.40 # Propositional preprocessing time : 0.000
% 260.13/33.40 # Propositional encoding time : 2.695
% 260.13/33.40 # Propositional solver time : 1.919
% 260.13/33.40 # Success case prop preproc time : 0.000
% 260.13/33.40 # Success case prop encoding time : 0.000
% 260.13/33.40 # Success case prop solver time : 0.000
% 260.13/33.40 # Current number of processed clauses : 2455
% 260.13/33.40 # Positive orientable unit clauses : 14
% 260.13/33.40 # Positive unorientable unit clauses: 0
% 260.13/33.40 # Negative unit clauses : 3
% 260.13/33.40 # Non-unit-clauses : 2438
% 260.13/33.40 # Current number of unprocessed clauses: 1797893
% 260.13/33.40 # ...number of literals in the above : 10475337
% 260.13/33.40 # Current number of archived formulas : 0
% 260.13/33.40 # Current number of archived clauses : 9668
% 260.13/33.40 # Clause-clause subsumption calls (NU) : 8272999
% 260.13/33.40 # Rec. Clause-clause subsumption calls : 2406976
% 260.13/33.40 # Non-unit clause-clause subsumptions : 68340
% 260.13/33.40 # Unit Clause-clause subsumption calls : 9345
% 260.13/33.40 # Rewrite failures with RHS unbound : 0
% 260.13/33.40 # BW rewrite match attempts : 12
% 260.13/33.40 # BW rewrite match successes : 12
% 260.13/33.40 # Condensation attempts : 0
% 260.13/33.40 # Condensation successes : 0
% 260.13/33.40 # Termbank termtop insertions : 70768362
% 260.13/33.40
% 260.13/33.40 # -------------------------------------------------
% 260.13/33.40 # User time : 31.074 s
% 260.13/33.40 # System time : 1.182 s
% 260.13/33.40 # Total time : 32.256 s
% 260.13/33.40 # Maximum resident set size: 2048 pages
% 260.13/33.40
% 260.13/33.40 # -------------------------------------------------
% 260.13/33.40 # User time : 31.079 s
% 260.13/33.40 # System time : 1.183 s
% 260.13/33.40 # Total time : 32.262 s
% 260.13/33.40 # Maximum resident set size: 1800 pages
% 260.13/33.40 % E---3.1 exiting
%------------------------------------------------------------------------------