TSTP Solution File: SWC172+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC172+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 20:27:07 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 151 ( 30 unt; 0 def)
% Number of atoms : 531 ( 219 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 658 ( 278 ~; 282 |; 41 &)
% ( 5 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 96 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
| neq(X5,X6) ) )
| ( ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X3
| ~ memberP(X4,X9)
| ? [X10] :
( ssItem(X10)
& X9 != X10
& memberP(X4,X10)
& leq(X10,X9) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax1,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
| neq(X5,X6) ) )
| ( ! [X9] :
( ~ ssItem(X9)
| cons(X9,nil) != X3
| ~ memberP(X4,X9)
| ? [X10] :
( ssItem(X10)
& X9 != X10
& memberP(X4,X10)
& leq(X10,X9) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_22,negated_conjecture,
! [X20] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssItem(esk52_0)
& ssItem(esk53_0)
& ssList(esk54_0)
& ssList(esk55_0)
& app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
& ~ neq(esk52_0,esk53_0)
& ( nil = esk51_0
| ssItem(esk56_0) )
& ( nil = esk50_0
| ssItem(esk56_0) )
& ( nil = esk51_0
| cons(esk56_0,nil) = esk50_0 )
& ( nil = esk50_0
| cons(esk56_0,nil) = esk50_0 )
& ( nil = esk51_0
| memberP(esk51_0,esk56_0) )
& ( nil = esk50_0
| memberP(esk51_0,esk56_0) )
& ( nil = esk51_0
| ~ ssItem(X20)
| esk56_0 = X20
| ~ memberP(esk51_0,X20)
| ~ leq(X20,esk56_0) )
& ( nil = esk50_0
| ~ ssItem(X20)
| esk56_0 = X20
| ~ memberP(esk51_0,X20)
| ~ leq(X20,esk56_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_21])])])])])])])]) ).
fof(c_0_23,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssItem(X4)
| ~ ssItem(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssItem(X4)
| ~ ssItem(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)],[ax1])])])])])]) ).
cnf(c_0_24,negated_conjecture,
~ neq(esk52_0,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,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_29,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
esk53_0 = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_31,plain,
( nil = X2
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),esk55_0) = esk48_0,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_34,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_35,negated_conjecture,
( esk55_0 = nil
| nil != esk48_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( esk55_0 = nil
| nil != esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_39,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_40,negated_conjecture,
( esk55_0 = nil
| nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_38])]) ).
cnf(c_0_41,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_43,negated_conjecture,
( esk55_0 = nil
| nil != esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_44,negated_conjecture,
( app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),nil) = esk48_0
| nil != esk48_0 ),
inference(spm,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_45,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_46,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
fof(c_0_47,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_48,negated_conjecture,
( app(app(nil,cons(esk52_0,nil)),nil) = esk48_0
| cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38])]) ).
cnf(c_0_49,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_50,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])])])])]) ).
fof(c_0_51,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_52,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( app(cons(esk52_0,nil),nil) = esk48_0
| cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( cons(esk52_0,app(nil,nil)) = esk48_0
| cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_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_52,c_0_53]),c_0_42]),c_0_27])]) ).
cnf(c_0_57,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_54]),c_0_38])]) ).
fof(c_0_58,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_59,negated_conjecture,
( cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_0 != nil
| ~ ssList(app(nil,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_27])]) ).
cnf(c_0_60,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_54,c_0_54]),c_0_36]) ).
fof(c_0_61,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_62,negated_conjecture,
( app(app(esk54_0,nil),esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_63,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_42])]) ).
cnf(c_0_65,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_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_57,c_0_60]),c_0_33]),c_0_38])]) ).
cnf(c_0_66,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,plain,
( nil = X1
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_68,negated_conjecture,
( app(esk54_0,esk55_0) = esk48_0
| cons(esk52_0,nil) != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_38])]) ).
cnf(c_0_69,negated_conjecture,
( cons(esk52_0,nil) != nil
| nil != esk48_0
| esk54_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_70,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,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_65,c_0_66]),c_0_33]),c_0_27])]) ).
cnf(c_0_71,negated_conjecture,
( cons(esk52_0,nil) != nil
| nil != esk48_0
| ~ 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_67,c_0_68]),c_0_33]),c_0_38])]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)) = esk48_0
| nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
cnf(c_0_73,negated_conjecture,
( cons(esk52_0,nil) != nil
| nil != esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_74,negated_conjecture,
( nil != esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_72]),c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,app(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_65,c_0_52]),c_0_33]),c_0_42]),c_0_27])]) ).
fof(c_0_76,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_77,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| nil = esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_78,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_79,negated_conjecture,
( nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_36]),c_0_38])]) ).
cnf(c_0_80,negated_conjecture,
( ssItem(esk56_0)
| nil = esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_81,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])])])])]) ).
fof(c_0_82,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_83,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)) = esk48_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_75,c_0_45]),c_0_33]),c_0_42])]) ).
cnf(c_0_84,plain,
( singletonP(X1)
| ~ ssList(X1)
| cons(X2,nil) != X1
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( cons(esk56_0,nil) = esk48_0
| nil = esk48_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_78]) ).
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_79,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_87,negated_conjecture,
( nil = esk48_0
| ssItem(esk56_0) ),
inference(rw,[status(thm)],[c_0_80,c_0_78]) ).
cnf(c_0_88,plain,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_89,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_90,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_91,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_82]) ).
cnf(c_0_92,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,nil),cons(esk52_0,nil))) = esk48_0
| esk55_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_83]),c_0_38])]) ).
cnf(c_0_93,plain,
( cons(esk5_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_94,plain,
( ssItem(esk5_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_95,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_96,negated_conjecture,
cons(esk56_0,nil) = esk48_0,
inference(sr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_98,negated_conjecture,
ssItem(esk56_0),
inference(sr,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_99,negated_conjecture,
( hd(esk48_0) = esk56_0
| nil = esk48_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_85]),c_0_42])]),c_0_87]) ).
cnf(c_0_100,plain,
( memberP(X3,X1)
| X1 = X2
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ memberP(cons(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,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_91]) ).
cnf(c_0_103,negated_conjecture,
( app(esk54_0,cons(esk52_0,cons(esk52_0,nil))) = esk48_0
| esk55_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_66]),c_0_27])]) ).
cnf(c_0_104,plain,
( esk5_1(X1) = hd(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_93]),c_0_42])]),c_0_94]) ).
cnf(c_0_105,negated_conjecture,
singletonP(esk48_0),
inference(cn,[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_98])]) ).
cnf(c_0_106,negated_conjecture,
hd(esk48_0) = esk56_0,
inference(sr,[status(thm)],[c_0_99,c_0_86]) ).
cnf(c_0_107,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_100,c_0_93]),c_0_42])]),c_0_94]),c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( memberP(esk48_0,esk52_0)
| esk55_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_102,c_0_103]),c_0_97]),c_0_38]),c_0_27])]) ).
cnf(c_0_109,negated_conjecture,
esk5_1(esk48_0) = esk56_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_97])]) ).
cnf(c_0_110,negated_conjecture,
( esk56_0 = esk52_0
| esk55_0 != nil
| ~ ssList(cons(esk52_0,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_107,c_0_108]),c_0_109]),c_0_105]),c_0_97]),c_0_27])]) ).
cnf(c_0_111,negated_conjecture,
( cons(esk56_0,app(nil,X1)) = app(esk48_0,X1)
| nil = esk48_0
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_85]),c_0_42])]),c_0_87]) ).
cnf(c_0_112,negated_conjecture,
( memberP(esk48_0,esk52_0)
| ~ ssList(app(esk54_0,cons(esk52_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_102,c_0_70]),c_0_97]),c_0_33]),c_0_27])]) ).
fof(c_0_113,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_114,negated_conjecture,
( esk56_0 = esk52_0
| esk55_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_115,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_54,c_0_49]),c_0_42])]) ).
cnf(c_0_116,negated_conjecture,
( app(esk48_0,nil) = cons(esk56_0,nil)
| nil = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_63]),c_0_42])]) ).
cnf(c_0_117,negated_conjecture,
( esk56_0 = esk52_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk52_0,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_107,c_0_112]),c_0_109]),c_0_105]),c_0_97]),c_0_27])]) ).
cnf(c_0_118,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( cons(esk52_0,nil) = esk48_0
| esk55_0 != nil ),
inference(spm,[status(thm)],[c_0_96,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
( app(nil,cons(esk56_0,nil)) = cons(esk56_0,nil)
| nil = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_42]),c_0_97])]) ).
cnf(c_0_121,negated_conjecture,
( esk56_0 = esk52_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_38])]) ).
fof(c_0_122,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_123,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_118,c_0_49]),c_0_42])]) ).
cnf(c_0_124,negated_conjecture,
( app(app(esk54_0,esk48_0),esk48_0) = esk48_0
| esk55_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_119]),c_0_97])]) ).
cnf(c_0_125,negated_conjecture,
( app(nil,esk48_0) = esk48_0
| nil = esk48_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_85]) ).
fof(c_0_126,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_127,plain,
! [X2] :
( ~ ssList(X2)
| nil = X2
| ssList(tl(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_128,negated_conjecture,
esk56_0 = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_41]),c_0_42]),c_0_27])]) ).
cnf(c_0_129,plain,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_130,negated_conjecture,
( app(esk54_0,esk48_0) = nil
| esk55_0 != nil
| ~ ssList(app(esk54_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_97])]) ).
cnf(c_0_131,negated_conjecture,
( app(esk48_0,esk48_0) = cons(esk56_0,esk48_0)
| nil = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_125]),c_0_97])]) ).
cnf(c_0_132,plain,
( tl(app(X1,X2)) = app(tl(X1),X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_133,plain,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,cons(esk52_0,nil))),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_66]),c_0_27])]) ).
cnf(c_0_135,negated_conjecture,
cons(esk52_0,nil) = esk48_0,
inference(rw,[status(thm)],[c_0_96,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
( tl(esk48_0) = nil
| nil = esk48_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_85]),c_0_42])]),c_0_87]) ).
cnf(c_0_137,negated_conjecture,
( app(esk54_0,esk48_0) = nil
| esk55_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_36]),c_0_97]),c_0_38])]) ).
cnf(c_0_138,negated_conjecture,
( nil = esk48_0
| ssList(cons(esk56_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_131]),c_0_97])]) ).
cnf(c_0_139,plain,
( nil = X1
| nil = X2
| tl(app(X1,X2)) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_132]),c_0_133]) ).
cnf(c_0_140,negated_conjecture,
app(app(esk54_0,cons(esk52_0,esk48_0)),esk55_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135]),c_0_135]),c_0_97])]) ).
cnf(c_0_141,negated_conjecture,
tl(esk48_0) = nil,
inference(sr,[status(thm)],[c_0_136,c_0_86]) ).
cnf(c_0_142,negated_conjecture,
esk55_0 != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_137]),c_0_97]),c_0_38])]),c_0_86]) ).
cnf(c_0_143,negated_conjecture,
ssList(cons(esk56_0,esk48_0)),
inference(sr,[status(thm)],[c_0_138,c_0_86]) ).
cnf(c_0_144,negated_conjecture,
app(esk48_0,esk48_0) = cons(esk56_0,esk48_0),
inference(sr,[status(thm)],[c_0_131,c_0_86]) ).
cnf(c_0_145,negated_conjecture,
( app(esk54_0,cons(esk52_0,esk48_0)) = nil
| ~ ssList(app(esk54_0,cons(esk52_0,esk48_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_33])]),c_0_142]) ).
cnf(c_0_146,negated_conjecture,
ssList(cons(esk52_0,esk48_0)),
inference(rw,[status(thm)],[c_0_143,c_0_128]) ).
cnf(c_0_147,negated_conjecture,
cons(esk56_0,esk48_0) != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_144]),c_0_97])]),c_0_86]) ).
cnf(c_0_148,negated_conjecture,
app(esk54_0,cons(esk52_0,esk48_0)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_36]),c_0_146]),c_0_38])]) ).
cnf(c_0_149,negated_conjecture,
cons(esk52_0,esk48_0) != nil,
inference(rw,[status(thm)],[c_0_147,c_0_128]) ).
cnf(c_0_150,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_148]),c_0_146]),c_0_38])]),c_0_149]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC172+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 11:48:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.025 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 151
% 0.23/1.41 # Proof object clause steps : 109
% 0.23/1.41 # Proof object formula steps : 42
% 0.23/1.41 # Proof object conjectures : 80
% 0.23/1.41 # Proof object clause conjectures : 77
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 34
% 0.23/1.41 # Proof object initial formulas used : 21
% 0.23/1.41 # Proof object generating inferences : 62
% 0.23/1.41 # Proof object simplifying inferences : 163
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 96
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 210
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 208
% 0.23/1.41 # Processed clauses : 1429
% 0.23/1.41 # ...of these trivial : 40
% 0.23/1.41 # ...subsumed : 627
% 0.23/1.41 # ...remaining for further processing : 762
% 0.23/1.41 # Other redundant clauses eliminated : 230
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 120
% 0.23/1.41 # Backward-rewritten : 144
% 0.23/1.41 # Generated clauses : 14025
% 0.23/1.41 # ...of the previous two non-trivial : 12914
% 0.23/1.41 # Contextual simplify-reflections : 797
% 0.23/1.41 # Paramodulations : 13718
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 269
% 0.23/1.41 # Current number of processed clauses : 458
% 0.23/1.41 # Positive orientable unit clauses : 46
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 13
% 0.23/1.41 # Non-unit-clauses : 399
% 0.23/1.41 # Current number of unprocessed clauses: 6571
% 0.23/1.41 # ...number of literals in the above : 48163
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 294
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 76175
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 16701
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1275
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1584
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 29
% 0.23/1.41 # BW rewrite match successes : 29
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 308806
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.273 s
% 0.23/1.41 # System time : 0.010 s
% 0.23/1.41 # Total time : 0.283 s
% 0.23/1.41 # Maximum resident set size: 12740 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------