TSTP Solution File: SWC197+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC197+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 20:27:17 EDT 2022
% Result : Theorem 0.26s 6.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 28
% Syntax : Number of formulae : 203 ( 30 unt; 0 def)
% Number of atoms : 798 ( 258 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1071 ( 476 ~; 464 |; 44 &)
% ( 8 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-2 aty)
% Number of variables : 236 ( 0 sgn 131 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1
| X5 = X6 ) ) ) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
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(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(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(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
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(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(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax14,axiom,
! [X1] :
( ssList(X1)
=> ( equalelemsP(X1)
<=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X4,cons(X2,cons(X3,X5))) = X1
=> X2 = X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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(ax73,axiom,
! [X1] :
( ssItem(X1)
=> equalelemsP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).
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(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
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(c_0_28,plain,
! [X5,X6,X9,X10] :
( ( ssList(esk8_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk9_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk8_2(X5,X6),X6),esk9_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ~ ssList(X9)
| ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| segmentP(X5,X6)
| ~ ssList(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)],[ax7])])])])])])]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1
| X5 = X6 ) ) ) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_0_30,plain,
( segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_31,negated_conjecture,
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& segmentP(esk51_0,esk50_0)
& 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)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0
& esk52_0 != esk53_0
& ( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ) ),
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_29])])])])])]) ).
cnf(c_0_32,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,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_37,negated_conjecture,
( segmentP(esk48_0,cons(esk53_0,nil))
| ~ ssList(app(app(esk54_0,cons(esk52_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_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(X3,X4)
| ~ segmentP(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)],[ax54])])])])]) ).
cnf(c_0_41,negated_conjecture,
( segmentP(esk48_0,cons(esk53_0,nil))
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_42,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_43,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ segmentP(X4,X5)
| ~ segmentP(X5,X6)
| segmentP(X4,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)],[ax53])])])])]) ).
fof(c_0_44,plain,
! [X2] :
( ( ~ segmentP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| segmentP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(c_0_45,plain,
! [X2] :
( ~ ssList(X2)
| segmentP(X2,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
cnf(c_0_46,plain,
( X1 = X2
| ~ segmentP(X2,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( segmentP(esk48_0,cons(esk53_0,nil))
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_42])]) ).
cnf(c_0_48,plain,
( segmentP(X1,X2)
| ~ segmentP(X3,X2)
| ~ segmentP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( segmentP(nil,X1)
| ~ ssList(X1)
| nil != X1 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_51,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( cons(esk53_0,nil) = esk48_0
| ~ segmentP(cons(esk53_0,nil),esk48_0)
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34])]) ).
cnf(c_0_53,plain,
( segmentP(X1,X2)
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]) ).
fof(c_0_54,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_55,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_56,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_57,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_59,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_60,negated_conjecture,
( cons(esk53_0,nil) = esk48_0
| nil != esk48_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_34])]) ).
cnf(c_0_61,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_63,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_64,negated_conjecture,
segmentP(esk51_0,esk48_0),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( cons(esk53_0,nil) = esk48_0
| nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_50]),c_0_62])]) ).
fof(c_0_68,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_69,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_70,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_71,negated_conjecture,
( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(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)],[ax15])])])])])]) ).
cnf(c_0_73,negated_conjecture,
( segmentP(X1,esk48_0)
| ~ segmentP(X1,esk51_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_64]),c_0_65]),c_0_34])]) ).
cnf(c_0_74,negated_conjecture,
( nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_50]),c_0_62])]) ).
cnf(c_0_75,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_76,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])])])])])]) ).
fof(c_0_77,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])])])])])])]) ).
fof(c_0_78,plain,
! [X2] :
( ~ ssItem(X2)
| ~ memberP(nil,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).
cnf(c_0_79,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_68]) ).
cnf(c_0_80,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0)) = esk48_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_35])]) ).
cnf(c_0_81,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,negated_conjecture,
( singletonP(esk48_0)
| ~ neq(esk51_0,nil) ),
inference(rw,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_83,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,plain,
( nil = X1
| ~ ssList(X1)
| ~ segmentP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_85,negated_conjecture,
( segmentP(X1,esk48_0)
| nil != esk51_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_53]),c_0_65])]) ).
cnf(c_0_86,negated_conjecture,
nil != esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_87,plain,
( memberP(X3,X1)
| X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(cons(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( cons(esk5_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( ssItem(esk5_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,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_79]) ).
cnf(c_0_92,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,esk55_0)) = esk48_0
| ~ ssList(app(app(esk54_0,cons(esk52_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_80,c_0_81]),c_0_35]),c_0_62])]) ).
cnf(c_0_93,negated_conjecture,
( nil = esk51_0
| singletonP(esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_50]),c_0_65])]) ).
cnf(c_0_94,negated_conjecture,
nil != esk51_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_34]),c_0_50])]),c_0_86]) ).
cnf(c_0_95,plain,
( X1 = esk5_1(X2)
| ~ singletonP(X2)
| ~ memberP(X2,X1)
| ~ ssList(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_87,c_0_88]),c_0_50])]),c_0_89]),c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( memberP(esk48_0,esk53_0)
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_34]),c_0_35]),c_0_62])]) ).
cnf(c_0_97,negated_conjecture,
singletonP(esk48_0),
inference(sr,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_98,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_99,negated_conjecture,
( esk5_1(esk48_0) = esk53_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_34]),c_0_62])]) ).
cnf(c_0_100,negated_conjecture,
( app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_39]),c_0_42])]) ).
cnf(c_0_101,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_102,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_103,negated_conjecture,
( esk5_1(esk48_0) = esk53_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_38]),c_0_39])]) ).
cnf(c_0_104,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,app(nil,esk56_0))),cons(esk53_0,nil)),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_39]),c_0_50]),c_0_75])]) ).
cnf(c_0_105,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( esk5_1(esk48_0) = esk53_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_38]),c_0_42])]) ).
cnf(c_0_107,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_39]),c_0_50])]) ).
cnf(c_0_108,negated_conjecture,
( esk5_1(esk48_0) = esk53_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_61]),c_0_50]),c_0_62])]) ).
cnf(c_0_109,plain,
( app(app(X1,app(X2,X3)),X4) = app(app(X1,X2),app(X3,X4))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_69]),c_0_38]) ).
cnf(c_0_110,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_69]),c_0_42])]) ).
cnf(c_0_111,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),app(esk56_0,cons(esk53_0,nil))),esk55_0) = esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_39])]) ).
cnf(c_0_112,negated_conjecture,
esk5_1(esk48_0) = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_113,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0)) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_35]),c_0_42])]) ).
cnf(c_0_114,negated_conjecture,
( segmentP(esk48_0,app(esk56_0,cons(esk53_0,nil)))
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(app(esk56_0,cons(esk53_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_111]),c_0_34]),c_0_35])]) ).
cnf(c_0_115,negated_conjecture,
cons(esk53_0,nil) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_112]),c_0_97]),c_0_34])]) ).
fof(c_0_116,plain,
! [X5,X6,X7,X8] :
( ~ ssList(X5)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(X5,X6)
| segmentP(app(app(X7,X5),X8),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)],[ax56])])])])]) ).
fof(c_0_117,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_118,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,app(nil,esk55_0))) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_101]),c_0_35]),c_0_50]),c_0_62])]) ).
cnf(c_0_119,negated_conjecture,
( segmentP(esk48_0,app(esk56_0,esk48_0))
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(app(esk56_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_115]),c_0_115]),c_0_34])]) ).
cnf(c_0_120,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ segmentP(X2,X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_121,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_122,negated_conjecture,
( segmentP(esk48_0,esk48_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_115]),c_0_115]),c_0_34])]) ).
fof(c_0_123,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ equalelemsP(X6)
| ~ ssItem(X7)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X10)
| app(X9,cons(X7,cons(X8,X10))) != X6
| X7 = X8
| ~ ssList(X6) )
& ( ssItem(esk40_1(X6))
| equalelemsP(X6)
| ~ ssList(X6) )
& ( ssItem(esk41_1(X6))
| equalelemsP(X6)
| ~ ssList(X6) )
& ( ssList(esk42_1(X6))
| equalelemsP(X6)
| ~ ssList(X6) )
& ( ssList(esk43_1(X6))
| equalelemsP(X6)
| ~ ssList(X6) )
& ( app(esk42_1(X6),cons(esk40_1(X6),cons(esk41_1(X6),esk43_1(X6)))) = X6
| equalelemsP(X6)
| ~ ssList(X6) )
& ( esk40_1(X6) != esk41_1(X6)
| equalelemsP(X6)
| ~ ssList(X6) ) ),
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)],[ax14])])])])])])]) ).
cnf(c_0_124,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = esk48_0
| esk56_0 != nil
| esk55_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_35]),c_0_50])]) ).
cnf(c_0_125,negated_conjecture,
( app(app(app(nil,esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_105]),c_0_42])]) ).
fof(c_0_126,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(c_0_127,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_128,negated_conjecture,
( app(esk56_0,esk48_0) = esk48_0
| ~ segmentP(app(esk56_0,esk48_0),esk48_0)
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(app(esk56_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_119]),c_0_34])]) ).
cnf(c_0_129,plain,
( segmentP(app(X1,X2),X3)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_50])]),c_0_38]) ).
cnf(c_0_130,negated_conjecture,
segmentP(esk48_0,esk48_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_131,plain,
( X2 = X3
| ~ ssList(X1)
| app(X4,cons(X2,cons(X3,X5))) != X1
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_132,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))) = esk48_0
| esk56_0 != nil
| esk55_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_124]),c_0_42])]) ).
fof(c_0_133,plain,
! [X2] :
( ~ ssItem(X2)
| equalelemsP(cons(X2,nil)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).
cnf(c_0_134,negated_conjecture,
( app(app(nil,cons(esk53_0,nil)),esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| esk54_0 != nil
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_105]),c_0_39]),c_0_50])]) ).
cnf(c_0_135,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_136,negated_conjecture,
( app(app(nil,cons(esk53_0,nil)),esk55_0) = esk48_0
| app(esk54_0,cons(esk52_0,nil)) != nil
| esk56_0 != nil
| ~ ssList(app(esk54_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_105]),c_0_39])]) ).
cnf(c_0_137,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_138,negated_conjecture,
( app(esk56_0,esk48_0) = esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(app(esk56_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_34]),c_0_39])]) ).
cnf(c_0_139,plain,
( X1 = X2
| ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_131]) ).
cnf(c_0_140,negated_conjecture,
( app(esk54_0,cons(esk52_0,cons(esk53_0,nil))) = esk48_0
| esk56_0 != nil
| esk55_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_81]),c_0_75])]) ).
cnf(c_0_141,negated_conjecture,
esk52_0 != esk53_0,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_142,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_143,negated_conjecture,
( app(cons(esk53_0,nil),esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| esk54_0 != nil
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_144,negated_conjecture,
( app(cons(esk53_0,nil),esk55_0) = esk48_0
| app(esk54_0,cons(esk52_0,nil)) != nil
| esk56_0 != nil
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_145,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_135]),c_0_50])]) ).
cnf(c_0_146,negated_conjecture,
( app(esk56_0,esk48_0) = esk48_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_138,c_0_38]),c_0_34]),c_0_39])]) ).
cnf(c_0_147,negated_conjecture,
( esk56_0 != nil
| esk55_0 != nil
| ~ equalelemsP(esk48_0)
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_34]),c_0_50]),c_0_42]),c_0_62]),c_0_75])]),c_0_141]) ).
cnf(c_0_148,plain,
( equalelemsP(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_88]),c_0_89]) ).
cnf(c_0_149,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),esk48_0) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_113,c_0_143]) ).
cnf(c_0_150,negated_conjecture,
( cons(esk53_0,esk55_0) = esk48_0
| app(esk54_0,cons(esk52_0,nil)) != nil
| esk56_0 != nil
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_144]),c_0_35]),c_0_62])]) ).
cnf(c_0_151,negated_conjecture,
( esk56_0 = nil
| ~ 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_145,c_0_146]),c_0_34]),c_0_39])]) ).
cnf(c_0_152,negated_conjecture,
( esk56_0 != nil
| esk55_0 != nil
| ~ equalelemsP(esk48_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_61]),c_0_50]),c_0_62])]) ).
cnf(c_0_153,negated_conjecture,
( nil = esk51_0
| equalelemsP(esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_93]),c_0_34])]) ).
cnf(c_0_154,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,nil),esk48_0)) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_149]),c_0_34]),c_0_42])]) ).
cnf(c_0_155,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_121,c_0_69]),c_0_50])]),c_0_38]) ).
cnf(c_0_156,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_69,c_0_135]),c_0_50])]) ).
cnf(c_0_157,negated_conjecture,
( cons(esk53_0,esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_105]),c_0_50]),c_0_42])]) ).
fof(c_0_158,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])])])])]) ).
fof(c_0_159,plain,
! [X2] :
( ~ ssList(X2)
| nil = X2
| ssList(tl(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_160,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_81]),c_0_75])]) ).
cnf(c_0_161,negated_conjecture,
( esk56_0 = nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_38]),c_0_42])]) ).
fof(c_0_162,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_163,negated_conjecture,
( esk56_0 != nil
| esk55_0 != nil
| ~ equalelemsP(esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_164,negated_conjecture,
equalelemsP(esk48_0),
inference(sr,[status(thm)],[c_0_153,c_0_94]) ).
cnf(c_0_165,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(nil,esk48_0))) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_101]),c_0_34]),c_0_50]),c_0_75])]) ).
cnf(c_0_166,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_50])]) ).
cnf(c_0_167,plain,
( cons(X1,app(X2,nil)) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_101]),c_0_50])]),c_0_61]) ).
cnf(c_0_168,negated_conjecture,
( cons(esk53_0,app(esk55_0,X1)) = app(esk48_0,X1)
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_157]),c_0_35]),c_0_62])]) ).
cnf(c_0_169,plain,
( nil = X2
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_170,plain,
( tl(app(X1,X2)) = app(tl(X1),X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_171,plain,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_172,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,esk48_0)),esk55_0) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_115]),c_0_115]),c_0_34])]) ).
cnf(c_0_173,negated_conjecture,
esk56_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_174,plain,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_175,negated_conjecture,
( esk56_0 != nil
| esk55_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).
cnf(c_0_176,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(esk48_0,nil))) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_34])]) ).
cnf(c_0_177,negated_conjecture,
( app(esk48_0,nil) = cons(esk53_0,esk55_0)
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_35]),c_0_62]),c_0_50])]) ).
cnf(c_0_178,plain,
( nil = X1
| nil = X2
| tl(app(X1,X2)) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_179,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,esk48_0)),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]) ).
cnf(c_0_180,negated_conjecture,
tl(esk48_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_115]),c_0_50]),c_0_62])]) ).
cnf(c_0_181,negated_conjecture,
esk55_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_173])]) ).
cnf(c_0_182,negated_conjecture,
( app(esk54_0,cons(esk52_0,cons(esk53_0,esk55_0))) = esk48_0
| cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( app(esk54_0,cons(esk52_0,esk48_0)) = nil
| ~ ssList(app(esk54_0,cons(esk52_0,esk48_0)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_35])]),c_0_181]) ).
cnf(c_0_184,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ equalelemsP(esk48_0)
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk53_0,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_182]),c_0_34]),c_0_35]),c_0_42]),c_0_62]),c_0_75])]),c_0_141]) ).
cnf(c_0_185,plain,
( nil = X1
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_186,negated_conjecture,
( app(esk54_0,cons(esk52_0,esk48_0)) = nil
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(cons(esk52_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_38]),c_0_42])]) ).
cnf(c_0_187,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ equalelemsP(esk48_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_61]),c_0_50]),c_0_62])]) ).
cnf(c_0_188,negated_conjecture,
( esk54_0 = nil
| ~ ssList(cons(esk52_0,esk48_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_42])]) ).
cnf(c_0_189,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil
| ~ equalelemsP(esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_190,negated_conjecture,
( esk54_0 = nil
| ~ ssList(cons(esk52_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_191,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk56_0 != nil
| esk54_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_164])]) ).
cnf(c_0_192,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0)) = esk48_0
| esk56_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_81]),c_0_35]),c_0_62])]) ).
cnf(c_0_193,negated_conjecture,
esk54_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_61]),c_0_34]),c_0_75])]) ).
cnf(c_0_194,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_105]),c_0_50]),c_0_42])]),c_0_191]) ).
cnf(c_0_195,negated_conjecture,
( app(app(nil,cons(esk52_0,nil)),cons(esk53_0,esk55_0)) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_115]),c_0_34])]),c_0_193]),c_0_173])]) ).
cnf(c_0_196,negated_conjecture,
( cons(esk52_0,nil) != nil
| esk54_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_61]),c_0_50]),c_0_75])]) ).
cnf(c_0_197,negated_conjecture,
( app(cons(esk52_0,nil),cons(esk53_0,esk55_0)) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_195,c_0_135]) ).
cnf(c_0_198,negated_conjecture,
cons(esk52_0,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_193])]) ).
cnf(c_0_199,negated_conjecture,
( cons(esk53_0,esk55_0) = nil
| ~ ssList(cons(esk53_0,esk55_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_197]),c_0_180])]),c_0_198]) ).
cnf(c_0_200,negated_conjecture,
( cons(esk53_0,esk55_0) = nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_61]),c_0_35]),c_0_62])]) ).
cnf(c_0_201,negated_conjecture,
~ ssList(cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_200]),c_0_35]),c_0_62])]) ).
cnf(c_0_202,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_61]),c_0_50]),c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC197+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 10:49:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.26/6.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/6.44 # Preprocessing time : 0.025 s
% 0.26/6.44
% 0.26/6.44 # Proof found!
% 0.26/6.44 # SZS status Theorem
% 0.26/6.44 # SZS output start CNFRefutation
% See solution above
% 0.26/6.44 # Proof object total steps : 203
% 0.26/6.44 # Proof object clause steps : 147
% 0.26/6.44 # Proof object formula steps : 56
% 0.26/6.44 # Proof object conjectures : 105
% 0.26/6.44 # Proof object clause conjectures : 102
% 0.26/6.44 # Proof object formula conjectures : 3
% 0.26/6.44 # Proof object initial clauses used : 44
% 0.26/6.44 # Proof object initial formulas used : 28
% 0.26/6.44 # Proof object generating inferences : 89
% 0.26/6.44 # Proof object simplifying inferences : 266
% 0.26/6.44 # Training examples: 0 positive, 0 negative
% 0.26/6.44 # Parsed axioms : 96
% 0.26/6.44 # Removed by relevancy pruning/SinE : 0
% 0.26/6.44 # Initial clauses : 205
% 0.26/6.44 # Removed in clause preprocessing : 2
% 0.26/6.44 # Initial clauses in saturation : 203
% 0.26/6.44 # Processed clauses : 8356
% 0.26/6.44 # ...of these trivial : 49
% 0.26/6.44 # ...subsumed : 5207
% 0.26/6.44 # ...remaining for further processing : 3100
% 0.26/6.44 # Other redundant clauses eliminated : 2915
% 0.26/6.44 # Clauses deleted for lack of memory : 56424
% 0.26/6.44 # Backward-subsumed : 933
% 0.26/6.44 # Backward-rewritten : 788
% 0.26/6.44 # Generated clauses : 236188
% 0.26/6.44 # ...of the previous two non-trivial : 226522
% 0.26/6.44 # Contextual simplify-reflections : 11563
% 0.26/6.44 # Paramodulations : 232991
% 0.26/6.44 # Factorizations : 0
% 0.26/6.44 # Equation resolutions : 3168
% 0.26/6.44 # Current number of processed clauses : 1355
% 0.26/6.44 # Positive orientable unit clauses : 43
% 0.26/6.44 # Positive unorientable unit clauses: 0
% 0.26/6.44 # Negative unit clauses : 19
% 0.26/6.44 # Non-unit-clauses : 1293
% 0.26/6.44 # Current number of unprocessed clauses: 65346
% 0.26/6.44 # ...number of literals in the above : 532608
% 0.26/6.44 # Current number of archived formulas : 0
% 0.26/6.44 # Current number of archived clauses : 1729
% 0.26/6.44 # Clause-clause subsumption calls (NU) : 2282474
% 0.26/6.44 # Rec. Clause-clause subsumption calls : 113007
% 0.26/6.44 # Non-unit clause-clause subsumptions : 16144
% 0.26/6.44 # Unit Clause-clause subsumption calls : 13000
% 0.26/6.44 # Rewrite failures with RHS unbound : 0
% 0.26/6.44 # BW rewrite match attempts : 16
% 0.26/6.44 # BW rewrite match successes : 16
% 0.26/6.44 # Condensation attempts : 0
% 0.26/6.44 # Condensation successes : 0
% 0.26/6.44 # Termbank termtop insertions : 6973515
% 0.26/6.44
% 0.26/6.44 # -------------------------------------------------
% 0.26/6.44 # User time : 5.178 s
% 0.26/6.44 # System time : 0.077 s
% 0.26/6.44 # Total time : 5.255 s
% 0.26/6.44 # Maximum resident set size: 132328 pages
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.26/23.44
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------