%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC155+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:27:01 EDT 2022
% Result : Theorem 0.65s 70.84s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 89
% Number of leaves : 27
% Syntax : Number of formulae : 276 ( 73 unt; 0 def)
% Number of atoms : 849 ( 283 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 980 ( 407 ~; 435 |; 54 &)
% ( 6 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 244 ( 0 sgn 128 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X3
& ? [X8] :
( ssItem(X8)
& ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X1
| ~ leq(X10,X9)
| ( ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X12,X14)
| ( leq(X9,X14)
& leq(X14,X10) ) ) )
& leq(X9,X10) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',co1) ).
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/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
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/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X3
& ? [X8] :
( ssItem(X8)
& ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X1
| ~ leq(X10,X9)
| ( ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X12,X14)
| ( leq(X9,X14)
& leq(X14,X10) ) ) )
& leq(X9,X10) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_28,negated_conjecture,
! [X19,X20,X21,X22] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ( leq(X19,X22)
| ~ memberP(X21,X22)
| ~ ssItem(X22)
| ~ ssList(X21)
| app(app(X20,cons(X19,nil)),X21) != esk50_0
| ~ ssList(X20)
| ~ ssItem(X19) )
& ( leq(X22,X19)
| ~ memberP(X20,X22)
| ~ ssItem(X22)
| ~ ssList(X21)
| app(app(X20,cons(X19,nil)),X21) != esk50_0
| ~ ssList(X20)
| ~ ssItem(X19) )
& ssItem(esk52_0)
& ssItem(esk53_0)
& ssList(esk54_0)
& ssList(esk55_0)
& ssList(esk56_0)
& app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0
& leq(esk53_0,esk52_0)
& ( ssItem(esk57_0)
| ~ leq(esk52_0,esk53_0) )
& ( memberP(esk55_0,esk57_0)
| ~ leq(esk52_0,esk53_0) )
& ( ~ leq(esk52_0,esk57_0)
| ~ leq(esk57_0,esk53_0)
| ~ leq(esk52_0,esk53_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_27])])])])])])])]) ).
cnf(c_0_29,negated_conjecture,
app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_30,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_31,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).
cnf(c_0_32,negated_conjecture,
app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk50_0,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| ssList(cons(X4,X3)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).
cnf(c_0_37,negated_conjecture,
( app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_40,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| cons(X4,X3) = app(cons(X4,nil),X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).
cnf(c_0_42,negated_conjecture,
app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = 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_43,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_44,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_34]),c_0_40])]) ).
cnf(c_0_45,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_35])]) ).
cnf(c_0_46,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_39]),c_0_46])]) ).
fof(c_0_48,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssItem(X6)
| cons(X6,app(X5,X4)) = app(cons(X6,X5),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])])]) ).
cnf(c_0_49,negated_conjecture,
app(app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_50,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_34]),c_0_40])]) ).
cnf(c_0_52,negated_conjecture,
app(app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))),esk56_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0)) = esk50_0
| ~ ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_52]),c_0_53]),c_0_35])]) ).
fof(c_0_55,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| ssList(app(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])])]) ).
cnf(c_0_56,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0)) = esk50_0
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_38]),c_0_40])]) ).
cnf(c_0_57,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0)) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34])]) ).
cnf(c_0_59,negated_conjecture,
app(esk54_0,app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_60,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0))) = esk50_0
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_53]),c_0_40])]) ).
cnf(c_0_61,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0))) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_57]),c_0_34])]) ).
cnf(c_0_62,negated_conjecture,
app(esk54_0,cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_63,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0)))) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_33]),c_0_53]),c_0_34])]) ).
fof(c_0_64,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != app(X5,X4)
| X6 = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])])]) ).
cnf(c_0_65,negated_conjecture,
app(esk54_0,cons(esk52_0,app(esk55_0,app(cons(esk53_0,nil),esk56_0)))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_66,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_67,negated_conjecture,
app(esk54_0,cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_53]),c_0_46])]) ).
cnf(c_0_68,negated_conjecture,
( X1 = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| app(esk54_0,X1) != esk50_0
| ~ ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_35])]) ).
cnf(c_0_69,negated_conjecture,
( X1 = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| app(esk54_0,X1) != esk50_0
| ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_38]),c_0_40])]) ).
cnf(c_0_70,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(app(cons(esk52_0,esk55_0),cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_53]),c_0_35])]) ).
cnf(c_0_71,negated_conjecture,
( X1 = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| app(esk54_0,X1) != esk50_0
| ~ ssList(cons(esk53_0,esk56_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_57]),c_0_34])]) ).
cnf(c_0_72,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_57]) ).
cnf(c_0_73,negated_conjecture,
( X1 = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| app(esk54_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_74,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_75,negated_conjecture,
( app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_59]) ).
cnf(c_0_76,negated_conjecture,
app(esk54_0,app(app(cons(esk52_0,esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_77,negated_conjecture,
( app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,nil)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_53])]) ).
cnf(c_0_78,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_33]),c_0_53])]) ).
cnf(c_0_79,negated_conjecture,
( app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_38]),c_0_40])]) ).
cnf(c_0_80,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_81,negated_conjecture,
( app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_57]),c_0_34])]) ).
cnf(c_0_82,negated_conjecture,
app(esk54_0,app(cons(esk52_0,esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_83,negated_conjecture,
app(cons(esk52_0,app(esk55_0,cons(esk53_0,nil))),esk56_0) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_84,negated_conjecture,
app(esk54_0,app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_43]),c_0_53]),c_0_46])]) ).
cnf(c_0_85,negated_conjecture,
( cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_83]),c_0_53]),c_0_40])]) ).
cnf(c_0_86,negated_conjecture,
( app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_84]) ).
fof(c_0_87,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| tl(cons(X4,X3)) = X3 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])])]) ).
cnf(c_0_88,negated_conjecture,
( cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_34])]) ).
cnf(c_0_89,negated_conjecture,
( app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk53_0,esk56_0))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_57]) ).
fof(c_0_90,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| nil != cons(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).
cnf(c_0_91,plain,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,negated_conjecture,
cons(esk52_0,app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_93,negated_conjecture,
( app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_94,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( tl(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = app(app(esk55_0,cons(esk53_0,nil)),esk56_0)
| ~ ssList(app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_40])]) ).
cnf(c_0_96,negated_conjecture,
app(cons(esk52_0,esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_97,negated_conjecture,
( cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))) != nil
| ~ ssList(app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_92]),c_0_40])]) ).
cnf(c_0_98,negated_conjecture,
( tl(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = app(app(esk55_0,cons(esk53_0,nil)),esk56_0)
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_57]),c_0_53])]) ).
cnf(c_0_99,negated_conjecture,
( ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))
| ~ ssList(cons(esk53_0,esk56_0))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))) != nil
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_57]),c_0_53])]) ).
cnf(c_0_101,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0)) = esk50_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_53])]) ).
fof(c_0_102,plain,
! [X2] :
( ~ ssList(X2)
| nil = X2
| ssList(tl(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_103,negated_conjecture,
( tl(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = app(app(esk55_0,cons(esk53_0,nil)),esk56_0)
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_57]),c_0_34])]) ).
cnf(c_0_104,negated_conjecture,
( ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))))
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_105,negated_conjecture,
( cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))) != nil
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_57]),c_0_34])]) ).
cnf(c_0_106,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0)) = esk50_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_107,plain,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,negated_conjecture,
tl(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = app(app(esk55_0,cons(esk53_0,nil)),esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_109,negated_conjecture,
ssList(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_110,negated_conjecture,
cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_111,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0)) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_57]),c_0_34])]) ).
cnf(c_0_112,negated_conjecture,
ssList(app(app(esk55_0,cons(esk53_0,nil)),esk56_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]),c_0_110]) ).
cnf(c_0_113,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_57]),c_0_35])]) ).
cnf(c_0_114,negated_conjecture,
( ssList(app(esk55_0,app(cons(esk53_0,nil),esk56_0)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_33]),c_0_53]),c_0_34])]) ).
cnf(c_0_115,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),app(cons(esk53_0,nil),esk56_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_116,negated_conjecture,
ssList(app(esk55_0,app(cons(esk53_0,nil),esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_117,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,esk56_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_43]),c_0_53]),c_0_46])]) ).
cnf(c_0_118,negated_conjecture,
ssList(app(esk55_0,cons(esk53_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_43]),c_0_53]),c_0_46])]) ).
cnf(c_0_119,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(esk55_0,cons(esk53_0,esk56_0))) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_117]),c_0_34])]) ).
cnf(c_0_120,negated_conjecture,
app(app(esk55_0,cons(esk53_0,nil)),esk56_0) = app(esk55_0,cons(esk53_0,esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_108]),c_0_40])]),c_0_118])]) ).
cnf(c_0_121,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(esk55_0,cons(esk53_0,esk56_0))) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_122,negated_conjecture,
( app(esk55_0,app(cons(esk53_0,nil),esk56_0)) = app(esk55_0,cons(esk53_0,esk56_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_120]),c_0_53]),c_0_34])]) ).
cnf(c_0_123,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(esk55_0,cons(esk53_0,esk56_0))) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_57]),c_0_35])]) ).
fof(c_0_124,plain,
! [X5,X6,X9,X10] :
( ( ssList(esk3_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( ssList(esk4_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( app(esk3_2(X5,X6),cons(X6,esk4_2(X5,X6))) = X5
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( ~ ssList(X9)
| ~ ssList(X10)
| app(X9,cons(X6,X10)) != X5
| memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])])]) ).
cnf(c_0_125,negated_conjecture,
app(esk55_0,app(cons(esk53_0,nil),esk56_0)) = app(esk55_0,cons(esk53_0,esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_126,negated_conjecture,
( app(app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_33]),c_0_35])]) ).
cnf(c_0_127,negated_conjecture,
( leq(X1,X4)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk50_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ memberP(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_128,negated_conjecture,
app(app(esk54_0,cons(esk52_0,nil)),app(esk55_0,cons(esk53_0,esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_129,plain,
( memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_130,negated_conjecture,
app(esk55_0,cons(esk53_0,app(nil,esk56_0))) = app(esk55_0,cons(esk53_0,esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_50]),c_0_53]),c_0_39]),c_0_46])]) ).
fof(c_0_131,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_132,negated_conjecture,
( app(app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_133,negated_conjecture,
( leq(esk52_0,X1)
| ~ memberP(app(esk55_0,cons(esk53_0,esk56_0)),X1)
| ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_35]),c_0_40])]) ).
cnf(c_0_134,negated_conjecture,
( memberP(X1,esk53_0)
| app(esk55_0,cons(esk53_0,esk56_0)) != X1
| ~ ssList(app(nil,esk56_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_34]),c_0_46])]) ).
cnf(c_0_135,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( app(app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_57]),c_0_34])]) ).
fof(c_0_137,plain,
! [X3,X4] :
( ~ ssItem(X3)
| ~ ssItem(X4)
| ~ leq(X3,X4)
| ~ leq(X4,X3)
| X3 = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])])])]) ).
cnf(c_0_138,negated_conjecture,
( leq(esk52_0,X1)
| ~ memberP(app(esk55_0,cons(esk53_0,esk56_0)),X1)
| ~ ssList(cons(esk53_0,esk56_0))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_57]),c_0_34])]) ).
cnf(c_0_139,negated_conjecture,
( memberP(X1,esk53_0)
| app(esk55_0,cons(esk53_0,esk56_0)) != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_53])]) ).
cnf(c_0_140,negated_conjecture,
app(app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil))),esk56_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_141,plain,
( X1 = X2
| ~ leq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_142,negated_conjecture,
leq(esk53_0,esk52_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_143,negated_conjecture,
( leq(esk52_0,X1)
| ~ memberP(app(esk55_0,cons(esk53_0,esk56_0)),X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_144,negated_conjecture,
memberP(app(esk55_0,cons(esk53_0,esk56_0)),esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_139]),c_0_118])]) ).
cnf(c_0_145,negated_conjecture,
( app(esk54_0,app(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_140]),c_0_53]),c_0_35])]) ).
cnf(c_0_146,negated_conjecture,
( esk53_0 = esk52_0
| ~ leq(esk52_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_46]),c_0_40])]) ).
cnf(c_0_147,negated_conjecture,
leq(esk52_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_46])]) ).
cnf(c_0_148,negated_conjecture,
( app(esk54_0,app(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_145,c_0_57]) ).
cnf(c_0_149,negated_conjecture,
esk53_0 = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_150,negated_conjecture,
( app(esk54_0,app(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_151,negated_conjecture,
app(esk55_0,app(cons(esk52_0,nil),esk56_0)) = app(esk55_0,cons(esk52_0,esk56_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_149]),c_0_149]) ).
cnf(c_0_152,negated_conjecture,
( app(esk54_0,app(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_57]),c_0_34])]) ).
cnf(c_0_153,negated_conjecture,
( X1 = app(cons(esk52_0,nil),esk56_0)
| app(esk55_0,X1) != app(esk55_0,cons(esk52_0,esk56_0))
| ~ ssList(app(cons(esk52_0,nil),esk56_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_151]),c_0_34])]) ).
cnf(c_0_154,negated_conjecture,
app(esk54_0,app(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,nil)),esk56_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_155,negated_conjecture,
( X1 = cons(esk52_0,esk56_0)
| app(esk55_0,X1) != app(esk55_0,cons(esk52_0,esk56_0))
| ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_43]),c_0_53]),c_0_40])]) ).
cnf(c_0_156,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_33]),c_0_53])]) ).
cnf(c_0_157,negated_conjecture,
( X1 = cons(esk52_0,esk56_0)
| app(esk55_0,X1) != app(esk55_0,cons(esk52_0,esk56_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_38]),c_0_53]),c_0_40])]) ).
cnf(c_0_158,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_38]),c_0_39]),c_0_46])]) ).
cnf(c_0_159,negated_conjecture,
( app(cons(esk52_0,nil),esk56_0) = cons(esk52_0,esk56_0)
| ~ ssList(app(cons(esk52_0,nil),esk56_0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_151]) ).
cnf(c_0_160,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_57]),c_0_34])]) ).
cnf(c_0_161,negated_conjecture,
( app(cons(esk52_0,nil),esk56_0) = cons(esk52_0,esk56_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_57]),c_0_53])]) ).
cnf(c_0_162,negated_conjecture,
app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),app(cons(esk53_0,nil),esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_163,negated_conjecture,
app(cons(esk52_0,nil),esk56_0) = cons(esk52_0,esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_164,negated_conjecture,
app(esk54_0,app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_43]),c_0_53]),c_0_46])]) ).
fof(c_0_165,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| hd(cons(X4,X3)) = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])])]) ).
cnf(c_0_166,negated_conjecture,
cons(esk52_0,app(nil,esk56_0)) = cons(esk52_0,esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_163]),c_0_53]),c_0_39]),c_0_40])]) ).
cnf(c_0_167,negated_conjecture,
( app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0))) ),
inference(spm,[status(thm)],[c_0_73,c_0_164]) ).
cnf(c_0_168,plain,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_169,negated_conjecture,
( tl(cons(esk52_0,esk56_0)) = app(nil,esk56_0)
| ~ ssList(app(nil,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_166]),c_0_40])]) ).
cnf(c_0_170,negated_conjecture,
( app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(cons(esk52_0,nil),esk55_0))
| ~ ssList(cons(esk53_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_167,c_0_57]) ).
cnf(c_0_171,negated_conjecture,
( hd(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = esk52_0
| ~ ssList(app(app(esk55_0,cons(esk53_0,nil)),esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_92]),c_0_40])]) ).
cnf(c_0_172,negated_conjecture,
tl(cons(esk52_0,esk56_0)) = esk56_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_135]),c_0_53])]) ).
cnf(c_0_173,negated_conjecture,
( app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_38]),c_0_53]),c_0_46])]) ).
cnf(c_0_174,negated_conjecture,
( hd(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = esk52_0
| ~ ssList(app(esk55_0,cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_57]),c_0_53])]) ).
fof(c_0_175,plain,
! [X4,X5,X7] :
( ( ssList(esk7_2(X4,X5))
| ~ rearsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( app(esk7_2(X4,X5),X5) = X4
| ~ rearsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( ~ ssList(X7)
| app(X7,X5) != X4
| rearsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])])])]) ).
cnf(c_0_176,negated_conjecture,
( app(nil,esk56_0) = esk56_0
| ~ ssList(app(nil,esk56_0)) ),
inference(rw,[status(thm)],[c_0_169,c_0_172]) ).
fof(c_0_177,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| nil = X3
| hd(app(X3,X4)) = hd(X3) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])])])]) ).
cnf(c_0_178,negated_conjecture,
( app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_57]),c_0_34])]) ).
cnf(c_0_179,negated_conjecture,
( hd(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = esk52_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_57]),c_0_34])]) ).
cnf(c_0_180,plain,
( rearsegP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X3,X2) != X1
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_181,negated_conjecture,
app(nil,esk56_0) = esk56_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_57]),c_0_53]),c_0_39])]) ).
cnf(c_0_182,plain,
( hd(app(X1,X2)) = hd(X1)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_183,negated_conjecture,
app(app(cons(esk52_0,nil),esk55_0),cons(esk53_0,esk56_0)) = cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_184,negated_conjecture,
hd(cons(esk52_0,app(esk55_0,cons(esk53_0,esk56_0)))) = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_38]),c_0_39]),c_0_46])]) ).
fof(c_0_185,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ rearsegP(X4,X5)
| rearsegP(app(X6,X4),X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])])])]) ).
cnf(c_0_186,negated_conjecture,
( rearsegP(X1,esk56_0)
| esk56_0 != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_39]),c_0_53])]) ).
cnf(c_0_187,negated_conjecture,
( hd(app(cons(esk52_0,nil),esk55_0)) = esk52_0
| app(cons(esk52_0,nil),esk55_0) = nil
| ~ ssList(app(cons(esk52_0,nil),esk55_0))
| ~ ssList(cons(esk53_0,esk56_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_188,plain,
( rearsegP(app(X1,X2),X3)
| ~ rearsegP(X2,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_189,negated_conjecture,
rearsegP(esk56_0,esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_186]),c_0_53])]) ).
cnf(c_0_190,negated_conjecture,
( hd(app(cons(esk52_0,nil),esk55_0)) = esk52_0
| app(cons(esk52_0,nil),esk55_0) = nil
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_38]),c_0_53]),c_0_46])]) ).
fof(c_0_191,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X6,X5) != app(X4,X5)
| X6 = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])])]) ).
cnf(c_0_192,negated_conjecture,
( rearsegP(app(X1,esk56_0),esk56_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_53])]) ).
fof(c_0_193,plain,
! [X2] :
( ~ ssList(X2)
| nil = X2
| cons(hd(X2),tl(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
cnf(c_0_194,negated_conjecture,
( hd(app(cons(esk52_0,nil),esk55_0)) = esk52_0
| app(cons(esk52_0,nil),esk55_0) = nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_57]),c_0_34])]) ).
cnf(c_0_195,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_196,negated_conjecture,
( rearsegP(cons(esk52_0,esk56_0),esk56_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_192,c_0_163]) ).
cnf(c_0_197,negated_conjecture,
( ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_163]),c_0_53])]) ).
cnf(c_0_198,plain,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_199,negated_conjecture,
( hd(app(cons(esk52_0,nil),esk55_0)) = esk52_0
| app(cons(esk52_0,nil),esk55_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_200,negated_conjecture,
( X1 = cons(esk52_0,nil)
| app(X1,esk56_0) != cons(esk52_0,esk56_0)
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_163]),c_0_53])]) ).
cnf(c_0_201,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_202,negated_conjecture,
rearsegP(cons(esk52_0,esk56_0),esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_203,negated_conjecture,
ssList(cons(esk52_0,esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_204,plain,
( ssList(esk7_2(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_205,negated_conjecture,
( memberP(esk55_0,esk57_0)
| ~ leq(esk52_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_206,negated_conjecture,
( ssItem(esk57_0)
| ~ leq(esk52_0,esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_207,negated_conjecture,
( cons(esk52_0,tl(app(cons(esk52_0,nil),esk55_0))) = app(cons(esk52_0,nil),esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| ~ ssList(app(cons(esk52_0,nil),esk55_0)) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_208,negated_conjecture,
( X1 = cons(esk52_0,nil)
| app(X1,esk56_0) != cons(esk52_0,esk56_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_209,negated_conjecture,
app(esk7_2(cons(esk52_0,esk56_0),esk56_0),esk56_0) = cons(esk52_0,esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_53]),c_0_203])]) ).
cnf(c_0_210,negated_conjecture,
ssList(esk7_2(cons(esk52_0,esk56_0),esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_202]),c_0_53]),c_0_203])]) ).
cnf(c_0_211,plain,
( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_212,negated_conjecture,
memberP(esk55_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_147])]) ).
cnf(c_0_213,negated_conjecture,
ssItem(esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_147])]) ).
cnf(c_0_214,plain,
( ssList(esk3_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_215,negated_conjecture,
( cons(esk52_0,tl(app(cons(esk52_0,nil),esk55_0))) = app(cons(esk52_0,nil),esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_57]),c_0_34])]) ).
fof(c_0_216,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| nil = X3
| tl(app(X3,X4)) = app(tl(X3),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])])])]) ).
cnf(c_0_217,negated_conjecture,
esk7_2(cons(esk52_0,esk56_0),esk56_0) = cons(esk52_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210])]) ).
cnf(c_0_218,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_33,c_0_135]),c_0_39])]) ).
cnf(c_0_219,negated_conjecture,
app(esk3_2(esk55_0,esk57_0),cons(esk57_0,esk4_2(esk55_0,esk57_0))) = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_34]),c_0_213])]) ).
cnf(c_0_220,negated_conjecture,
ssList(esk3_2(esk55_0,esk57_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_212]),c_0_34]),c_0_213])]) ).
cnf(c_0_221,plain,
( ssList(esk4_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_222,negated_conjecture,
( cons(esk52_0,tl(app(cons(esk52_0,nil),esk55_0))) = app(cons(esk52_0,nil),esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_223,plain,
( tl(app(X1,X2)) = app(tl(X1),X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_224,negated_conjecture,
ssList(cons(esk52_0,nil)),
inference(rw,[status(thm)],[c_0_210,c_0_217]) ).
cnf(c_0_225,negated_conjecture,
( app(nil,esk55_0) = esk55_0
| ~ ssList(cons(esk57_0,esk4_2(esk55_0,esk57_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).
cnf(c_0_226,negated_conjecture,
ssList(esk4_2(esk55_0,esk57_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_212]),c_0_34]),c_0_213])]) ).
cnf(c_0_227,negated_conjecture,
( cons(esk52_0,app(tl(cons(esk52_0,nil)),esk55_0)) = app(cons(esk52_0,nil),esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_34])]),c_0_224])]) ).
cnf(c_0_228,negated_conjecture,
app(nil,esk55_0) = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_38]),c_0_226]),c_0_213])]) ).
cnf(c_0_229,negated_conjecture,
( app(cons(esk52_0,nil),esk55_0) = cons(esk52_0,esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_91]),c_0_228]),c_0_39]),c_0_40])]) ).
fof(c_0_230,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_231,negated_conjecture,
( app(cons(esk52_0,nil),app(esk55_0,X1)) = app(cons(esk52_0,esk55_0),X1)
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_229]),c_0_34]),c_0_224])]) ).
cnf(c_0_232,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_233,negated_conjecture,
( app(cons(esk52_0,esk55_0),nil) = app(cons(esk52_0,nil),esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_39]),c_0_34])]) ).
fof(c_0_234,plain,
! [X3,X4] :
( ( nil = X4
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil = X3
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil != X4
| nil != X3
| nil = app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).
cnf(c_0_235,negated_conjecture,
( app(cons(esk52_0,nil),esk55_0) = cons(esk52_0,app(esk55_0,nil))
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_233]),c_0_39]),c_0_34]),c_0_40])]) ).
cnf(c_0_236,plain,
( nil = X1
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_237,negated_conjecture,
( cons(esk52_0,app(esk55_0,nil)) = cons(esk52_0,esk55_0)
| app(cons(esk52_0,nil),esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_235]),c_0_228]),c_0_34]),c_0_39]),c_0_40])]) ).
cnf(c_0_238,negated_conjecture,
( cons(esk52_0,app(esk55_0,nil)) = cons(esk52_0,esk55_0)
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_34]),c_0_224])]) ).
cnf(c_0_239,negated_conjecture,
( tl(cons(esk52_0,esk55_0)) = app(esk55_0,nil)
| cons(esk52_0,nil) = nil
| ~ ssList(app(esk55_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_238]),c_0_40])]) ).
fof(c_0_240,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])])]) ).
fof(c_0_241,plain,
! [X4,X5,X6] :
( ( ~ memberP(cons(X5,X6),X4)
| X4 = X5
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( X4 != X5
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(cons(X5,X6),X4)
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])])])]) ).
cnf(c_0_242,negated_conjecture,
( tl(cons(esk52_0,esk55_0)) = esk55_0
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_232]),c_0_34])]) ).
cnf(c_0_243,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_244,plain,
( memberP(cons(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_245,negated_conjecture,
( cons(hd(cons(esk52_0,esk55_0)),esk55_0) = cons(esk52_0,esk55_0)
| cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil
| ~ ssList(cons(esk52_0,esk55_0)) ),
inference(spm,[status(thm)],[c_0_198,c_0_242]) ).
cnf(c_0_246,negated_conjecture,
( memberP(app(esk55_0,X1),esk57_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_212]),c_0_34]),c_0_213])]) ).
cnf(c_0_247,negated_conjecture,
( leq(X4,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk50_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ memberP(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_248,negated_conjecture,
( memberP(cons(X1,esk55_0),esk57_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_212]),c_0_34]),c_0_213])]) ).
cnf(c_0_249,negated_conjecture,
( cons(hd(cons(esk52_0,esk55_0)),esk55_0) = cons(esk52_0,esk55_0)
| cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_250,negated_conjecture,
( memberP(app(esk55_0,cons(esk52_0,esk56_0)),esk57_0)
| ~ ssList(app(cons(esk52_0,nil),esk56_0)) ),
inference(spm,[status(thm)],[c_0_246,c_0_151]) ).
cnf(c_0_251,negated_conjecture,
( leq(X1,esk53_0)
| ~ memberP(app(esk54_0,cons(esk52_0,esk55_0)),X1)
| ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_44]),c_0_53]),c_0_46])]) ).
cnf(c_0_252,negated_conjecture,
( cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil
| memberP(cons(esk52_0,esk55_0),esk57_0)
| ~ ssItem(hd(cons(esk52_0,esk55_0))) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_253,negated_conjecture,
( memberP(app(esk55_0,cons(esk52_0,esk56_0)),esk57_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_57]),c_0_53])]) ).
cnf(c_0_254,negated_conjecture,
( leq(X1,esk53_0)
| ~ memberP(app(esk54_0,cons(esk52_0,esk55_0)),X1)
| ~ ssList(cons(esk52_0,esk55_0))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_57]),c_0_35])]) ).
cnf(c_0_255,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_256,negated_conjecture,
( cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil
| memberP(cons(esk52_0,esk55_0),esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_168]),c_0_40]),c_0_34])]) ).
cnf(c_0_257,negated_conjecture,
( ~ leq(esk52_0,esk53_0)
| ~ leq(esk57_0,esk53_0)
| ~ leq(esk52_0,esk57_0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_258,negated_conjecture,
( leq(esk52_0,X1)
| ~ memberP(app(esk55_0,cons(esk52_0,esk56_0)),X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_143,c_0_149]) ).
cnf(c_0_259,negated_conjecture,
memberP(app(esk55_0,cons(esk52_0,esk56_0)),esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_38]),c_0_39]),c_0_40])]) ).
fof(c_0_260,plain,
! [X3,X5] :
( ( ssItem(esk5_1(X3))
| ~ singletonP(X3)
| ~ ssList(X3) )
& ( cons(esk5_1(X3),nil) = X3
| ~ singletonP(X3)
| ~ ssList(X3) )
& ( ~ ssItem(X5)
| cons(X5,nil) != X3
| singletonP(X3)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])])])]) ).
cnf(c_0_261,negated_conjecture,
( leq(X1,esk53_0)
| ~ memberP(app(esk54_0,cons(esk52_0,esk55_0)),X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_262,negated_conjecture,
( cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil
| memberP(app(X1,cons(esk52_0,esk55_0)),esk57_0)
| ~ ssList(cons(esk52_0,esk55_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_213])]) ).
cnf(c_0_263,negated_conjecture,
( ~ leq(esk52_0,esk57_0)
| ~ leq(esk57_0,esk52_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_147])]),c_0_149]) ).
cnf(c_0_264,negated_conjecture,
leq(esk52_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_213])]) ).
cnf(c_0_265,plain,
( singletonP(X1)
| ~ ssList(X1)
| cons(X2,nil) != X1
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_260]) ).
cnf(c_0_266,negated_conjecture,
( leq(X1,esk52_0)
| ~ memberP(app(esk54_0,cons(esk52_0,esk55_0)),X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_261,c_0_149]) ).
cnf(c_0_267,negated_conjecture,
( cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil
| memberP(app(X1,cons(esk52_0,esk55_0)),esk57_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_38]),c_0_34]),c_0_40])]) ).
cnf(c_0_268,negated_conjecture,
~ leq(esk57_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_264])]) ).
cnf(c_0_269,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_265]) ).
cnf(c_0_270,negated_conjecture,
( cons(esk52_0,esk55_0) = nil
| cons(esk52_0,nil) = nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_213]),c_0_35])]),c_0_268]) ).
fof(c_0_271,plain,
~ singletonP(nil),
inference(fof_simplification,[status(thm)],[ax39]) ).
cnf(c_0_272,negated_conjecture,
singletonP(cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_224]),c_0_40])]) ).
cnf(c_0_273,negated_conjecture,
cons(esk52_0,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_270]),c_0_34]),c_0_40])]) ).
cnf(c_0_274,plain,
~ singletonP(nil),
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_275,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273]),c_0_274]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC155+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 23:24:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.43 eprover: CPU time limit exceeded, terminating
% 0.50/46.42 eprover: CPU time limit exceeded, terminating
% 0.50/46.43 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.50/46.43
% 0.50/46.45 eprover: CPU time limit exceeded, terminating
% 0.64/69.43 eprover: CPU time limit exceeded, terminating
% 0.64/69.44 eprover: CPU time limit exceeded, terminating
% 0.64/69.46 eprover: CPU time limit exceeded, terminating
% 0.64/69.46 eprover: CPU time limit exceeded, terminating
% 0.65/70.84 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.65/70.84
% 0.65/70.84 # Failure: Resource limit exceeded (time)
% 0.65/70.84 # OLD status Res
% 0.65/70.84 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.65/70.84 # Preprocessing time : 0.020 s
% 0.65/70.84 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.65/70.84
% 0.65/70.84 # Failure: Resource limit exceeded (time)
% 0.65/70.84 # OLD status Res
% 0.65/70.84 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.65/70.84 # Preprocessing time : 0.011 s
% 0.65/70.84 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.65/70.84
% 0.65/70.84 # Failure: Resource limit exceeded (time)
% 0.65/70.84 # OLD status Res
% 0.65/70.84 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.65/70.84 # Preprocessing time : 0.022 s
% 0.65/70.84 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.65/70.84 # Preprocessing time : 0.013 s
% 0.65/70.84
% 0.65/70.84 # Proof found!
% 0.65/70.84 # SZS status Theorem
% 0.65/70.84 # SZS output start CNFRefutation
% See solution above
% 0.65/70.84 # Proof object total steps : 276
% 0.65/70.84 # Proof object clause steps : 222
% 0.65/70.84 # Proof object formula steps : 54
% 0.65/70.84 # Proof object conjectures : 191
% 0.65/70.84 # Proof object clause conjectures : 188
% 0.65/70.84 # Proof object formula conjectures : 3
% 0.65/70.84 # Proof object initial clauses used : 45
% 0.65/70.84 # Proof object initial formulas used : 27
% 0.65/70.84 # Proof object generating inferences : 165
% 0.65/70.84 # Proof object simplifying inferences : 421
% 0.65/70.84 # Training examples: 0 positive, 0 negative
% 0.65/70.84 # Parsed axioms : 96
% 0.65/70.84 # Removed by relevancy pruning/SinE : 0
% 0.65/70.84 # Initial clauses : 208
% 0.65/70.84 # Removed in clause preprocessing : 2
% 0.65/70.84 # Initial clauses in saturation : 206
% 0.65/70.84 # Processed clauses : 7038
% 0.65/70.84 # ...of these trivial : 124
% 0.65/70.84 # ...subsumed : 3262
% 0.65/70.84 # ...remaining for further processing : 3652
% 0.65/70.84 # Other redundant clauses eliminated : 69
% 0.65/70.84 # Clauses deleted for lack of memory : 0
% 0.65/70.84 # Backward-subsumed : 1386
% 0.65/70.84 # Backward-rewritten : 1580
% 0.65/70.84 # Generated clauses : 18546
% 0.65/70.84 # ...of the previous two non-trivial : 16495
% 0.65/70.84 # Contextual simplify-reflections : 0
% 0.65/70.84 # Paramodulations : 18411
% 0.65/70.84 # Factorizations : 2
% 0.65/70.84 # Equation resolutions : 133
% 0.65/70.84 # Current number of processed clauses : 680
% 0.65/70.84 # Positive orientable unit clauses : 149
% 0.65/70.84 # Positive unorientable unit clauses: 0
% 0.65/70.84 # Negative unit clauses : 33
% 0.65/70.84 # Non-unit-clauses : 498
% 0.65/70.84 # Current number of unprocessed clauses: 2151
% 0.65/70.84 # ...number of literals in the above : 11429
% 0.65/70.84 # Current number of archived formulas : 0
% 0.65/70.84 # Current number of archived clauses : 2966
% 0.65/70.84 # Clause-clause subsumption calls (NU) : 360516
% 0.65/70.84 # Rec. Clause-clause subsumption calls : 91838
% 0.65/70.84 # Non-unit clause-clause subsumptions : 4184
% 0.65/70.84 # Unit Clause-clause subsumption calls : 5289
% 0.65/70.84 # Rewrite failures with RHS unbound : 0
% 0.65/70.84 # BW rewrite match attempts : 564
% 0.65/70.84 # BW rewrite match successes : 178
% 0.65/70.84 # Condensation attempts : 0
% 0.65/70.84 # Condensation successes : 0
% 0.65/70.84 # Termbank termtop insertions : 487476
% 0.65/70.84
% 0.65/70.84 # -------------------------------------------------
% 0.65/70.84 # User time : 0.511 s
% 0.65/70.84 # System time : 0.006 s
% 0.65/70.84 # Total time : 0.517 s
% 0.65/70.84 # Maximum resident set size: 14360 pages
% 0.65/92.46 eprover: CPU time limit exceeded, terminating
% 0.65/92.46 eprover: CPU time limit exceeded, terminating
% 0.65/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.48 eprover: No such file or directory
% 0.65/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.48 eprover: No such file or directory
% 0.65/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.48 eprover: No such file or directory
% 0.65/92.48 eprover: CPU time limit exceeded, terminating
% 0.65/92.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.48 eprover: No such file or directory
% 0.65/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.49 eprover: No such file or directory
% 0.65/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.49 eprover: No such file or directory
% 0.65/92.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.49 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.50 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.51 eprover: No such file or directory
% 0.65/92.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.65/92.52 eprover: No such file or directory
% 0.65/92.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.52 eprover: No such file or directory
% 0.65/92.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.52 eprover: No such file or directory
% 0.65/92.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.65/92.53 eprover: No such file or directory
%------------------------------------------------------------------------------