TSTP Solution File: SWC376+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWC376+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 19:42:51 EDT 2023
% Result : Theorem 32.38s 4.57s
% Output : CNFRefutation 32.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 28
% Syntax : Number of formulae : 216 ( 13 unt; 0 def)
% Number of atoms : 830 ( 278 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 1015 ( 401 ~; 475 |; 65 &)
% ( 8 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn; 119 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) )
| ( nil != X3
& nil = X4 )
| ( neq(X4,nil)
& ( ~ neq(X3,nil)
| ? [X6] :
( ssList(X6)
& X4 != X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X3) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X3) = X9
& neq(nil,X3) )
& neq(nil,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',co1) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax26) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax15) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax17) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax22) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax24) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax16) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax78) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax86) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax83) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax25) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax21) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax4) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax85) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax5) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax23) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax44) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax20) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax84) ).
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/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax82) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax28) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax18) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.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/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax27) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax37) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax38) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax36) ).
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/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p',ax3) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ( ~ memberP(X2,X5)
& ~ memberP(X1,X5) )
| ( memberP(X2,X5)
& memberP(X1,X5) ) ) )
| ( nil != X3
& nil = X4 )
| ( neq(X4,nil)
& ( ~ neq(X3,nil)
| ? [X6] :
( ssList(X6)
& X4 != X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X3) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X3) = X9
& neq(nil,X3) )
& neq(nil,X3) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_29,negated_conjecture,
! [X259,X260,X261,X262] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssItem(esk52_0)
& ( memberP(esk49_0,esk52_0)
| memberP(esk48_0,esk52_0) )
& ( ~ memberP(esk49_0,esk52_0)
| ~ memberP(esk48_0,esk52_0) )
& ( nil = esk50_0
| nil != esk51_0 )
& ( neq(esk50_0,nil)
| ~ neq(esk51_0,nil) )
& ( ~ ssList(X259)
| esk51_0 = X259
| ~ ssList(X260)
| ~ ssList(X261)
| tl(esk50_0) != X260
| app(X260,X261) != X259
| ~ ssItem(X262)
| cons(X262,nil) != X261
| hd(esk50_0) != X262
| ~ neq(nil,esk50_0)
| ~ neq(nil,esk50_0)
| ~ neq(esk51_0,nil) ) ),
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_28])])])])]) ).
cnf(c_0_30,negated_conjecture,
( esk51_0 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| tl(esk50_0) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(esk50_0) != X4
| ~ neq(nil,esk50_0)
| ~ neq(nil,esk50_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_31,plain,
! [X133,X134] :
( ~ ssList(X133)
| ~ ssList(X134)
| ssList(app(X133,X134)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_32,negated_conjecture,
( esk51_0 = X1
| hd(esk50_0) != X4
| tl(esk50_0) != X2
| app(X2,X3) != X1
| cons(X4,nil) != X3
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(nil,esk50_0)
| ~ neq(esk51_0,nil) ),
inference(cn,[status(thm)],[c_0_30]) ).
cnf(c_0_33,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X112,X113] :
( ( ~ neq(X112,X113)
| X112 != X113
| ~ ssList(X113)
| ~ ssList(X112) )
& ( X112 = X113
| neq(X112,X113)
| ~ ssList(X113)
| ~ ssList(X112) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_35,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| ~ ssList(cons(hd(esk50_0),nil))
| ~ ssList(tl(esk50_0))
| ~ neq(nil,esk50_0)
| ~ neq(esk51_0,nil)
| ~ ssItem(hd(esk50_0)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])])])]),c_0_33]) ).
cnf(c_0_38,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_41,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil))
| ~ ssList(tl(esk50_0))
| ~ neq(esk51_0,nil)
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_44,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_46,plain,
! [X127] :
( ~ ssList(X127)
| nil = X127
| ssItem(hd(X127)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_47,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil))
| ~ ssList(tl(esk50_0))
| ~ ssItem(hd(esk50_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_40]),c_0_44])]),c_0_45]) ).
cnf(c_0_48,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_49,plain,
! [X130] :
( ~ ssList(X130)
| nil = X130
| ssList(tl(X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_50,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil))
| ~ ssList(tl(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_39])]) ).
cnf(c_0_51,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_52,plain,
! [X114,X115] :
( ~ ssList(X114)
| ~ ssItem(X115)
| ssList(cons(X115,X114)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(c_0_53,plain,
! [X216] :
( ~ ssList(X216)
| nil = X216
| cons(hd(X216),tl(X216)) = X216 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(c_0_54,plain,
! [X233,X234] :
( ~ ssList(X233)
| ~ ssList(X234)
| nil = X233
| tl(app(X233,X234)) = app(tl(X233),X234) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(c_0_55,plain,
! [X228,X229] :
( ( nil = X229
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil = X228
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil != X229
| nil != X228
| nil = app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
cnf(c_0_56,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_39])]) ).
cnf(c_0_57,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_40])]) ).
cnf(c_0_62,plain,
( cons(hd(app(X1,X2)),app(tl(X1),X2)) = app(X1,X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_33]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_39])]) ).
fof(c_0_64,plain,
! [X131,X132] :
( ~ ssList(X131)
| ~ ssItem(X132)
| tl(cons(X132,X131)) = X131 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
fof(c_0_65,plain,
! [X125,X126] :
( ~ ssList(X125)
| ~ ssItem(X126)
| nil != cons(X126,X125) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
fof(c_0_66,plain,
! [X20,X22] :
( ( ssItem(esk5_1(X20))
| ~ singletonP(X20)
| ~ ssList(X20) )
& ( cons(esk5_1(X20),nil) = X20
| ~ singletonP(X20)
| ~ ssList(X20) )
& ( ~ ssItem(X22)
| cons(X22,nil) != X20
| singletonP(X20)
| ~ ssList(X20) ) ),
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_67,negated_conjecture,
( cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil))
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_39])]) ).
cnf(c_0_68,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil))
| esk50_0 = nil
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_40])]) ).
fof(c_0_72,plain,
! [X231,X232] :
( ~ ssList(X231)
| ~ ssList(X232)
| nil = X231
| hd(app(X231,X232)) = hd(X231) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
cnf(c_0_73,plain,
( cons(hd(cons(X1,X2)),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_68]),c_0_57]),c_0_69]) ).
cnf(c_0_74,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil))
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_48]),c_0_39])]) ).
cnf(c_0_78,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
( cons(hd(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_40])]),c_0_75]) ).
cnf(c_0_80,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_40])]) ).
fof(c_0_81,plain,
! [X23,X24,X26] :
( ( ssList(esk6_2(X23,X24))
| ~ frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( app(X24,esk6_2(X23,X24)) = X23
| ~ frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( ~ ssList(X26)
| app(X24,X26) != X23
| frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
cnf(c_0_82,negated_conjecture,
( app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil
| ~ ssList(cons(hd(esk50_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_39])]) ).
cnf(c_0_83,plain,
( cons(hd(cons(X1,nil)),nil) = cons(X1,nil)
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_57]),c_0_40])]) ).
cnf(c_0_86,plain,
( cons(hd(cons(X1,nil)),nil) = cons(X1,nil)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_57]),c_0_40])]) ).
fof(c_0_87,plain,
! [X128,X129] :
( ~ ssList(X128)
| ~ ssItem(X129)
| hd(cons(X129,X128)) = X129 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
cnf(c_0_88,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_33]) ).
cnf(c_0_89,negated_conjecture,
( app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_48]),c_0_39])]) ).
cnf(c_0_90,plain,
( ssList(cons(X1,nil))
| ~ ssItem(hd(cons(X1,nil)))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_86]),c_0_40])]) ).
cnf(c_0_91,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_92,plain,
! [X170,X171,X172,X173] :
( ( X170 = X171
| ~ frontsegP(cons(X170,X172),cons(X171,X173))
| ~ ssList(X173)
| ~ ssList(X172)
| ~ ssItem(X171)
| ~ ssItem(X170) )
& ( frontsegP(X172,X173)
| ~ frontsegP(cons(X170,X172),cons(X171,X173))
| ~ ssList(X173)
| ~ ssList(X172)
| ~ ssItem(X171)
| ~ ssItem(X170) )
& ( X170 != X171
| ~ frontsegP(X172,X173)
| frontsegP(cons(X170,X172),cons(X171,X173))
| ~ ssList(X173)
| ~ ssList(X172)
| ~ ssItem(X171)
| ~ ssItem(X170) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).
fof(c_0_93,plain,
! [X122] :
( ( ssList(esk44_1(X122))
| nil = X122
| ~ ssList(X122) )
& ( ssItem(esk45_1(X122))
| nil = X122
| ~ ssList(X122) )
& ( cons(esk45_1(X122),esk44_1(X122)) = X122
| nil = X122
| ~ ssList(X122) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).
cnf(c_0_94,negated_conjecture,
( esk50_0 = nil
| frontsegP(cons(hd(esk50_0),esk51_0),esk50_0)
| ~ ssList(cons(hd(esk50_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_39])]) ).
cnf(c_0_95,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_40])]) ).
cnf(c_0_96,plain,
( X1 = X2
| ~ frontsegP(cons(X1,X3),cons(X2,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_97,plain,
( cons(esk45_1(X1),esk44_1(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,plain,
( ssItem(esk45_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,plain,
( ssList(esk44_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_100,negated_conjecture,
( esk50_0 = nil
| frontsegP(cons(hd(esk50_0),esk51_0),esk50_0)
| ~ ssItem(hd(esk50_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
( X1 = esk45_1(X2)
| nil = X2
| ~ frontsegP(cons(X1,X3),X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( esk50_0 = nil
| frontsegP(cons(hd(esk50_0),esk51_0),esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_48]),c_0_39])]) ).
fof(c_0_103,plain,
! [X230] :
( ~ ssList(X230)
| app(X230,nil) = X230 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(c_0_104,plain,
! [X225,X226,X227] :
( ~ ssList(X225)
| ~ ssList(X226)
| ~ ssList(X227)
| app(app(X225,X226),X227) = app(X225,app(X226,X227)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
fof(c_0_105,plain,
! [X138] :
( ~ ssList(X138)
| app(nil,X138) = X138 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_106,negated_conjecture,
( esk45_1(esk50_0) = hd(esk50_0)
| esk50_0 = nil
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_44]),c_0_39])]) ).
cnf(c_0_107,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_108,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_109,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( esk45_1(esk50_0) = hd(esk50_0)
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_48]),c_0_39])]) ).
cnf(c_0_111,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_107,c_0_108]),c_0_40])]),c_0_33]) ).
cnf(c_0_112,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_108,c_0_109]),c_0_40])]) ).
cnf(c_0_113,negated_conjecture,
( cons(hd(esk50_0),esk44_1(esk50_0)) = esk50_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_110]),c_0_39])]) ).
cnf(c_0_114,plain,
( esk44_1(X1) = tl(X1)
| nil = X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_115,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_116,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_117,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_40])]) ).
fof(c_0_118,plain,
! [X116,X117] :
( ~ ssList(X116)
| ~ ssItem(X117)
| cons(X117,X116) != X116 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).
cnf(c_0_119,negated_conjecture,
( cons(hd(esk50_0),tl(esk50_0)) = esk50_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_39])]) ).
cnf(c_0_120,plain,
( hd(X1) = hd(X2)
| nil = X2
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_115]),c_0_116]) ).
cnf(c_0_121,plain,
( frontsegP(app(nil,X1),X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_117]),c_0_40])]) ).
cnf(c_0_122,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_110]),c_0_39])]) ).
cnf(c_0_123,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( cons(hd(X1),tl(esk50_0)) = esk50_0
| esk50_0 = nil
| ~ frontsegP(X1,esk50_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_39])]) ).
cnf(c_0_125,plain,
( frontsegP(app(X1,nil),X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(X1))
| ~ frontsegP(X1,esk50_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_39])]) ).
cnf(c_0_127,negated_conjecture,
( esk44_1(esk50_0) = tl(esk50_0)
| esk50_0 = nil
| ~ ssList(esk44_1(esk50_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_113]),c_0_122]) ).
cnf(c_0_128,plain,
( nil = X1
| tl(X1) != X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_58]),c_0_48]),c_0_51]) ).
cnf(c_0_129,negated_conjecture,
( cons(hd(app(esk50_0,nil)),tl(esk50_0)) = esk50_0
| esk50_0 = nil
| ~ ssList(app(esk50_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_39])]) ).
cnf(c_0_130,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(app(esk50_0,nil)))
| ~ ssList(app(esk50_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_39])]) ).
cnf(c_0_131,negated_conjecture,
( esk44_1(esk50_0) = tl(esk50_0)
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_99]),c_0_39])]) ).
cnf(c_0_132,plain,
( nil = X1
| app(tl(X1),X2) != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_59]),c_0_33]),c_0_60]) ).
cnf(c_0_133,negated_conjecture,
( cons(hd(app(esk50_0,nil)),tl(esk50_0)) = esk50_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_33]),c_0_40]),c_0_39])]) ).
cnf(c_0_134,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(app(esk50_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_33]),c_0_40]),c_0_39])]) ).
cnf(c_0_135,negated_conjecture,
( esk50_0 = nil
| ssList(tl(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_131]),c_0_39])]) ).
cnf(c_0_136,plain,
( nil = X1
| tl(X1) != app(X1,nil)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_107]),c_0_40])]),c_0_51]) ).
fof(c_0_137,plain,
! [X223,X224] :
( ~ ssList(X223)
| ~ ssItem(X224)
| cons(X224,X223) = app(cons(X224,nil),X223) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_138,negated_conjecture,
( cons(hd(cons(hd(esk50_0),esk51_0)),esk51_0) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_77,c_0_89]) ).
fof(c_0_139,plain,
! [X135,X136,X137] :
( ~ ssList(X135)
| ~ ssList(X136)
| ~ ssItem(X137)
| cons(X137,app(X136,X135)) = app(cons(X137,X136),X135) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
cnf(c_0_140,negated_conjecture,
( hd(app(esk50_0,nil)) = hd(esk50_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_133]),c_0_134]),c_0_135]) ).
fof(c_0_141,plain,
! [X157,X158,X159] :
( ( ~ memberP(cons(X158,X159),X157)
| X157 = X158
| memberP(X159,X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) )
& ( X157 != X158
| memberP(cons(X158,X159),X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) )
& ( ~ memberP(X159,X157)
| memberP(cons(X158,X159),X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
cnf(c_0_142,plain,
( esk5_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_91,c_0_74]),c_0_40])]),c_0_75]) ).
cnf(c_0_143,plain,
( app(cons(X1,X2),nil) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_68]),c_0_57]),c_0_69]) ).
cnf(c_0_144,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_145,negated_conjecture,
( tl(cons(hd(esk50_0),esk51_0)) = esk51_0
| esk50_0 = nil
| ~ ssItem(hd(cons(hd(esk50_0),esk51_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_138]),c_0_44])]) ).
cnf(c_0_146,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_147,negated_conjecture,
( cons(hd(esk50_0),app(tl(esk50_0),nil)) = app(esk50_0,nil)
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_140]),c_0_40]),c_0_39])]) ).
cnf(c_0_148,negated_conjecture,
( esk50_0 = nil
| ssList(cons(hd(esk50_0),esk51_0))
| ~ ssList(cons(hd(esk50_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_89]),c_0_39])]) ).
cnf(c_0_149,plain,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_150,plain,
( ssItem(hd(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_142]) ).
cnf(c_0_151,plain,
( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_78]),c_0_33]),c_0_60]) ).
cnf(c_0_152,plain,
( cons(X1,nil) != nil
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_40])]) ).
cnf(c_0_153,negated_conjecture,
( tl(cons(hd(esk50_0),esk51_0)) = esk51_0
| esk50_0 = nil
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_91]),c_0_44])]) ).
cnf(c_0_154,plain,
( hd(cons(X1,app(X2,X3))) = hd(cons(X1,X2))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_146]),c_0_57]),c_0_69]) ).
cnf(c_0_155,negated_conjecture,
( cons(hd(esk50_0),app(nil,tl(esk50_0))) = app(esk50_0,nil)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_117]),c_0_135]) ).
cnf(c_0_156,negated_conjecture,
( esk50_0 = nil
| ssList(cons(hd(esk50_0),esk51_0))
| ~ ssItem(hd(esk50_0)) ),
inference(spm,[status(thm)],[c_0_148,c_0_95]) ).
cnf(c_0_157,plain,
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_149]) ).
cnf(c_0_158,plain,
( ssItem(hd(cons(X1,nil)))
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_80]),c_0_95]) ).
cnf(c_0_159,plain,
( cons(hd(cons(X1,nil)),tl(cons(X1,X2))) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_144]),c_0_95]),c_0_152]) ).
cnf(c_0_160,negated_conjecture,
( tl(cons(hd(esk50_0),esk51_0)) = esk51_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_48]),c_0_39])]) ).
cnf(c_0_161,negated_conjecture,
( hd(cons(hd(esk50_0),nil)) = hd(app(esk50_0,nil))
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_40])]),c_0_122]),c_0_135]) ).
cnf(c_0_162,negated_conjecture,
( esk50_0 = nil
| ssList(cons(hd(esk50_0),esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_48]),c_0_39])]) ).
cnf(c_0_163,plain,
( nil = X1
| memberP(X1,esk45_1(X1))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_97]),c_0_98]),c_0_99]) ).
cnf(c_0_164,plain,
( cons(hd(cons(X1,nil)),X2) = 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_144,c_0_73]),c_0_40])]),c_0_158]) ).
cnf(c_0_165,negated_conjecture,
( cons(hd(cons(hd(esk50_0),nil)),esk51_0) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_44])]),c_0_122]) ).
fof(c_0_166,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(c_0_167,plain,
! [X154,X155,X156] :
( ( ~ memberP(app(X155,X156),X154)
| memberP(X155,X154)
| memberP(X156,X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) )
& ( ~ memberP(X155,X154)
| memberP(app(X155,X156),X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) )
& ( ~ memberP(X156,X154)
| memberP(app(X155,X156),X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
cnf(c_0_168,negated_conjecture,
( cons(hd(app(esk50_0,nil)),nil) = cons(hd(esk50_0),nil)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_161]),c_0_40])]),c_0_122]) ).
cnf(c_0_169,plain,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_170,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(cons(hd(esk50_0),esk51_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_102]),c_0_162]) ).
cnf(c_0_171,negated_conjecture,
( memberP(esk49_0,esk52_0)
| memberP(esk48_0,esk52_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_172,negated_conjecture,
( esk50_0 = nil
| memberP(esk50_0,hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_110]),c_0_39])]) ).
cnf(c_0_173,negated_conjecture,
( app(cons(hd(esk50_0),nil),esk51_0) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_44])]),c_0_122]) ).
fof(c_0_174,plain,
! [X160] :
( ~ ssItem(X160)
| ~ memberP(nil,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_166])]) ).
cnf(c_0_175,plain,
( memberP(X1,X3)
| memberP(X2,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_176,negated_conjecture,
( esk50_0 = nil
| ssList(cons(hd(esk50_0),nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_168]),c_0_40])]),c_0_134]) ).
cnf(c_0_177,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),esk51_0),X1)
| ~ memberP(esk51_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_138]),c_0_44])]),c_0_170]) ).
cnf(c_0_178,negated_conjecture,
( memberP(esk51_0,esk52_0)
| memberP(esk50_0,esk52_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_36]),c_0_42]) ).
cnf(c_0_179,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_180,plain,
! [X14,X15,X18,X19] :
( ( ssList(esk3_2(X14,X15))
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( ssList(esk4_2(X14,X15))
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( app(esk3_2(X14,X15),cons(X15,esk4_2(X14,X15))) = X14
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( ~ ssList(X18)
| ~ ssList(X19)
| app(X18,cons(X15,X19)) != X14
| memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) ) ),
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_181,negated_conjecture,
( esk50_0 = nil
| memberP(esk50_0,hd(X1))
| ~ frontsegP(X1,esk50_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_120]),c_0_39])]) ).
cnf(c_0_182,negated_conjecture,
( cons(hd(esk50_0),app(nil,esk51_0)) = cons(hd(esk50_0),esk51_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_173]),c_0_40]),c_0_44])]),c_0_122]) ).
cnf(c_0_183,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_184,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_185,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),nil),X1)
| memberP(esk50_0,X1)
| ~ memberP(cons(hd(esk50_0),esk51_0),X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_89]),c_0_39])]),c_0_176]) ).
cnf(c_0_186,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),esk51_0),esk52_0)
| memberP(esk50_0,esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]) ).
cnf(c_0_187,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_188,negated_conjecture,
( esk50_0 = nil
| memberP(esk50_0,hd(cons(hd(esk50_0),esk51_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_102]),c_0_162]) ).
cnf(c_0_189,negated_conjecture,
( hd(cons(hd(esk50_0),esk51_0)) = hd(cons(hd(esk50_0),nil))
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_182]),c_0_44]),c_0_40])]),c_0_122]) ).
cnf(c_0_190,plain,
( hd(cons(X1,nil)) = X2
| ~ memberP(cons(X1,nil),X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_86]),c_0_40])]),c_0_158]),c_0_184]) ).
cnf(c_0_191,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),nil),esk52_0)
| memberP(esk50_0,esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_179])]) ).
cnf(c_0_192,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(er,[status(thm)],[c_0_187]) ).
cnf(c_0_193,plain,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_194,negated_conjecture,
( esk50_0 = nil
| memberP(esk50_0,hd(cons(hd(esk50_0),nil))) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
( hd(cons(hd(esk50_0),nil)) = esk52_0
| esk50_0 = nil
| memberP(esk50_0,esk52_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_179])]),c_0_122]) ).
cnf(c_0_196,negated_conjecture,
( ~ memberP(esk49_0,esk52_0)
| ~ memberP(esk48_0,esk52_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_197,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,hd(esk50_0))
| ~ ssList(tl(esk50_0))
| ~ ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_63]),c_0_44]),c_0_40])]) ).
cnf(c_0_198,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),esk51_0),X1)
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_89]),c_0_39])]),c_0_176]) ).
cnf(c_0_199,negated_conjecture,
( esk50_0 = nil
| memberP(esk50_0,esk52_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_200,negated_conjecture,
( ~ memberP(esk50_0,esk52_0)
| ~ memberP(esk51_0,esk52_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_36]),c_0_42]) ).
cnf(c_0_201,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,hd(esk50_0))
| ~ ssList(tl(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_48]),c_0_39])]) ).
cnf(c_0_202,negated_conjecture,
( esk50_0 = nil
| memberP(cons(hd(esk50_0),esk51_0),esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_179])]) ).
cnf(c_0_203,negated_conjecture,
( esk50_0 = nil
| ~ memberP(esk51_0,esk52_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_199]) ).
cnf(c_0_204,negated_conjecture,
( neq(esk50_0,nil)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_205,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_51]),c_0_39])]) ).
cnf(c_0_206,negated_conjecture,
( hd(esk50_0) = esk52_0
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_202]),c_0_44]),c_0_179])]),c_0_122]),c_0_203]) ).
cnf(c_0_207,plain,
( ~ neq(X1,X2)
| X1 != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_208,negated_conjecture,
( esk51_0 = nil
| neq(esk50_0,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_38]),c_0_40]),c_0_44])]) ).
cnf(c_0_209,negated_conjecture,
esk50_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_203]) ).
cnf(c_0_210,plain,
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(er,[status(thm)],[c_0_207]) ).
cnf(c_0_211,negated_conjecture,
( esk51_0 = nil
| neq(nil,nil) ),
inference(rw,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_212,negated_conjecture,
( ~ memberP(nil,esk52_0)
| ~ memberP(esk51_0,esk52_0) ),
inference(rw,[status(thm)],[c_0_200,c_0_209]) ).
cnf(c_0_213,negated_conjecture,
esk51_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_40])]) ).
cnf(c_0_214,negated_conjecture,
~ memberP(nil,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).
cnf(c_0_215,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_209]),c_0_213])]),c_0_214]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SWC376+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 01:58:04 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.xBRRjQzLZB/E---3.1_24506.p
% 32.38/4.57 # Version: 3.1pre001
% 32.38/4.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.38/4.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/4.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.38/4.57 # Starting new_bool_3 with 300s (1) cores
% 32.38/4.57 # Starting new_bool_1 with 300s (1) cores
% 32.38/4.57 # Starting sh5l with 300s (1) cores
% 32.38/4.57 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24644 completed with status 0
% 32.38/4.57 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 32.38/4.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.38/4.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/4.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.38/4.57 # No SInE strategy applied
% 32.38/4.57 # Search class: FGHSF-FSLM21-MFFFFFNN
% 32.38/4.57 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 32.38/4.57 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 32.38/4.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 32.38/4.57 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 32.38/4.57 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 32.38/4.57 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 32.38/4.57 # G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 24655 completed with status 0
% 32.38/4.57 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 32.38/4.57 # Preprocessing class: FSLSSMSSSSSNFFN.
% 32.38/4.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.38/4.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.38/4.57 # No SInE strategy applied
% 32.38/4.57 # Search class: FGHSF-FSLM21-MFFFFFNN
% 32.38/4.57 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 32.38/4.57 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 32.38/4.57 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 32.38/4.57 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 32.38/4.57 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 32.38/4.57 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 32.38/4.57 # Preprocessing time : 0.002 s
% 32.38/4.57 # Presaturation interreduction done
% 32.38/4.57
% 32.38/4.57 # Proof found!
% 32.38/4.57 # SZS status Theorem
% 32.38/4.57 # SZS output start CNFRefutation
% See solution above
% 32.38/4.57 # Parsed axioms : 96
% 32.38/4.57 # Removed by relevancy pruning/SinE : 0
% 32.38/4.57 # Initial clauses : 202
% 32.38/4.57 # Removed in clause preprocessing : 2
% 32.38/4.57 # Initial clauses in saturation : 200
% 32.38/4.57 # Processed clauses : 18468
% 32.38/4.57 # ...of these trivial : 19
% 32.38/4.57 # ...subsumed : 14385
% 32.38/4.57 # ...remaining for further processing : 4063
% 32.38/4.57 # Other redundant clauses eliminated : 3756
% 32.38/4.57 # Clauses deleted for lack of memory : 0
% 32.38/4.57 # Backward-subsumed : 406
% 32.38/4.57 # Backward-rewritten : 1779
% 32.38/4.57 # Generated clauses : 176150
% 32.38/4.57 # ...of the previous two non-redundant : 169726
% 32.38/4.57 # ...aggressively subsumed : 0
% 32.38/4.57 # Contextual simplify-reflections : 2530
% 32.38/4.57 # Paramodulations : 172367
% 32.38/4.57 # Factorizations : 4
% 32.38/4.57 # NegExts : 0
% 32.38/4.57 # Equation resolutions : 3784
% 32.38/4.57 # Total rewrite steps : 68434
% 32.38/4.57 # Propositional unsat checks : 0
% 32.38/4.57 # Propositional check models : 0
% 32.38/4.57 # Propositional check unsatisfiable : 0
% 32.38/4.57 # Propositional clauses : 0
% 32.38/4.57 # Propositional clauses after purity: 0
% 32.38/4.57 # Propositional unsat core size : 0
% 32.38/4.57 # Propositional preprocessing time : 0.000
% 32.38/4.57 # Propositional encoding time : 0.000
% 32.38/4.57 # Propositional solver time : 0.000
% 32.38/4.57 # Success case prop preproc time : 0.000
% 32.38/4.57 # Success case prop encoding time : 0.000
% 32.38/4.57 # Success case prop solver time : 0.000
% 32.38/4.57 # Current number of processed clauses : 1660
% 32.38/4.57 # Positive orientable unit clauses : 21
% 32.38/4.57 # Positive unorientable unit clauses: 0
% 32.38/4.57 # Negative unit clauses : 3
% 32.38/4.57 # Non-unit-clauses : 1636
% 32.38/4.57 # Current number of unprocessed clauses: 150969
% 32.38/4.57 # ...number of literals in the above : 1185375
% 32.38/4.57 # Current number of archived formulas : 0
% 32.38/4.57 # Current number of archived clauses : 2379
% 32.38/4.57 # Clause-clause subsumption calls (NU) : 2656140
% 32.38/4.57 # Rec. Clause-clause subsumption calls : 519856
% 32.38/4.57 # Non-unit clause-clause subsumptions : 15459
% 32.38/4.57 # Unit Clause-clause subsumption calls : 1139
% 32.38/4.57 # Rewrite failures with RHS unbound : 0
% 32.38/4.57 # BW rewrite match attempts : 4
% 32.38/4.57 # BW rewrite match successes : 4
% 32.38/4.57 # Condensation attempts : 0
% 32.38/4.57 # Condensation successes : 0
% 32.38/4.57 # Termbank termtop insertions : 4669729
% 32.38/4.57
% 32.38/4.57 # -------------------------------------------------
% 32.38/4.57 # User time : 3.931 s
% 32.38/4.57 # System time : 0.110 s
% 32.38/4.57 # Total time : 4.041 s
% 32.38/4.57 # Maximum resident set size: 2584 pages
% 32.38/4.57
% 32.38/4.57 # -------------------------------------------------
% 32.38/4.57 # User time : 19.805 s
% 32.38/4.57 # System time : 0.513 s
% 32.38/4.57 # Total time : 20.318 s
% 32.38/4.57 # Maximum resident set size: 1804 pages
% 32.38/4.57 % E---3.1 exiting
%------------------------------------------------------------------------------