TSTP Solution File: SWC343+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 20:28:09 EDT 2022
% Result : Theorem 0.23s 2.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 13 unt; 0 def)
% Number of atoms : 434 ( 179 equ)
% Maximal formula atoms : 88 ( 5 avg)
% Number of connectives : 616 ( 260 ~; 264 |; 56 &)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 51 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ strictorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& lt(X8,X6) ) ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ? [X10] :
( ssList(X10)
& app(X1,X10) = X2
& ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(cons(X11,nil),X12) != X10
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssList(X14)
=> ( app(X14,cons(X13,nil)) != X1
| ~ lt(X13,X11) ) ) ) ) ) )
& strictorderedP(X1) )
& ( nil != X1
| nil = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).
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(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
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(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax46,axiom,
! [X1] :
( ssList(X1)
=> ( frontsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ strictorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& lt(X8,X6) ) ) ) ) ) )
| ( nil != X4
& nil = X3 )
| ( ? [X10] :
( ssList(X10)
& app(X1,X10) = X2
& ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssList(X12)
=> ( app(cons(X11,nil),X12) != X10
| ! [X13] :
( ssItem(X13)
=> ! [X14] :
( ssList(X14)
=> ( app(X14,cons(X13,nil)) != X1
| ~ lt(X13,X11) ) ) ) ) ) )
& strictorderedP(X1) )
& ( nil != X1
| nil = X2 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_10,negated_conjecture,
! [X20,X21,X22,X23,X24] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssList(esk52_0)
& app(esk50_0,esk52_0) = esk51_0
& strictorderedP(esk50_0)
& ( ~ ssItem(X20)
| ~ ssList(X21)
| app(cons(X20,nil),X21) != esk52_0
| ~ ssItem(X22)
| ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk50_0
| ~ lt(X22,X20) )
& ( nil = esk51_0
| nil != esk50_0 )
& ( nil = esk48_0
| ssItem(esk53_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| ssItem(esk53_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| ssList(esk54_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| ssList(esk54_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| app(cons(esk53_1(X24),nil),esk54_1(X24)) = X24
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| app(cons(esk53_1(X24),nil),esk54_1(X24)) = X24
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| ssItem(esk55_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| ssItem(esk55_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| ssList(esk56_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| ssList(esk56_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| app(esk56_1(X24),cons(esk55_1(X24),nil)) = esk48_0
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| app(esk56_1(X24),cons(esk55_1(X24),nil)) = esk48_0
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil = esk48_0
| lt(esk55_1(X24),esk53_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_0) )
& ( nil != esk49_0
| lt(esk55_1(X24),esk53_1(X24))
| ~ ssList(X24)
| app(esk48_0,X24) != esk49_0
| ~ strictorderedP(esk48_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_9])])])])])])])]) ).
cnf(c_0_11,negated_conjecture,
strictorderedP(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_12,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,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_14,negated_conjecture,
app(esk50_0,esk52_0) = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,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])])])])]) ).
fof(c_0_17,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_18,plain,
! [X4,X5,X7] :
( ( ssList(esk6_2(X4,X5))
| ~ frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( app(X5,esk6_2(X4,X5)) = X4
| ~ frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( ~ ssList(X7)
| app(X5,X7) != X4
| frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])])])]) ).
cnf(c_0_19,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1)
| nil != esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
strictorderedP(esk48_0),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( ssList(esk54_1(X1))
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1)
| nil != esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( nil = X2
| ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
app(esk48_0,esk52_0) = esk49_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12]),c_0_15]) ).
cnf(c_0_24,negated_conjecture,
ssList(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( cons(esk5_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_29,plain,
( ssItem(esk5_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( singletonP(X1)
| ~ ssList(X1)
| cons(X2,nil) != X1
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_31,plain,
! [X2] :
( ( ~ frontsegP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| frontsegP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).
cnf(c_0_32,plain,
( frontsegP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X3) != X1
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
( ssList(esk54_1(X1))
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_20])]) ).
cnf(c_0_35,negated_conjecture,
( esk52_0 = nil
| esk49_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_36,plain,
( X1 != nil
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_37,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_30]) ).
fof(c_0_38,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_39,plain,
( nil = X1
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( frontsegP(X1,cons(esk53_1(X1),nil))
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(cons(esk53_1(X1),nil))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33])]),c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( app(esk48_0,nil) = esk49_0
| esk49_0 != nil ),
inference(spm,[status(thm)],[c_0_23,c_0_35]) ).
cnf(c_0_42,plain,
( cons(X1,nil) != nil
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( cons(esk53_1(nil),nil) = nil
| esk49_0 != nil
| ~ ssList(cons(esk53_1(nil),nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28])]),c_0_41]) ).
cnf(c_0_45,plain,
( cons(X1,nil) != nil
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_28])]) ).
cnf(c_0_46,negated_conjecture,
( ssItem(esk53_1(X1))
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1)
| nil != esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,negated_conjecture,
( ~ lt(X1,X2)
| app(X3,cons(X1,nil)) != esk50_0
| ~ ssList(X3)
| ~ ssItem(X1)
| app(cons(X2,nil),X4) != esk52_0
| ~ ssList(X4)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,negated_conjecture,
( app(esk56_1(X1),cons(esk55_1(X1),nil)) = esk48_0
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,negated_conjecture,
( ssItem(esk55_1(X1))
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_50,negated_conjecture,
( ssList(esk56_1(X1))
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_51,negated_conjecture,
( esk49_0 != nil
| ~ ssItem(esk53_1(nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_28])]),c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( ssItem(esk53_1(X1))
| app(esk48_0,X1) != esk49_0
| esk49_0 != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_20])]) ).
cnf(c_0_53,negated_conjecture,
( nil = esk51_0
| nil != esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(X5,X6) != app(X5,X4)
| X6 = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])])]) ).
cnf(c_0_55,negated_conjecture,
( app(X1,cons(X2,nil)) != esk48_0
| app(cons(X3,nil),X4) != esk52_0
| ~ lt(X2,X3)
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_56,negated_conjecture,
( app(esk56_1(X1),cons(esk55_1(X1),nil)) = esk48_0
| esk48_0 = nil
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_20])]) ).
cnf(c_0_57,negated_conjecture,
( esk48_0 = nil
| ssItem(esk55_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_20])]) ).
cnf(c_0_58,negated_conjecture,
( esk48_0 = nil
| ssList(esk56_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_20])]) ).
cnf(c_0_59,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_60,negated_conjecture,
esk49_0 != nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_28])]),c_0_41]) ).
cnf(c_0_61,negated_conjecture,
( esk49_0 = nil
| esk48_0 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_15]),c_0_12]) ).
cnf(c_0_62,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( esk48_0 = nil
| app(cons(X1,nil),X2) != esk52_0
| app(esk48_0,X3) != esk49_0
| ~ lt(esk55_1(X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( app(cons(esk53_1(X1),nil),esk54_1(X1)) = X1
| esk48_0 = nil
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_20])]) ).
cnf(c_0_65,negated_conjecture,
esk48_0 != nil,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( X1 = esk52_0
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_23]),c_0_25]),c_0_24])]) ).
cnf(c_0_67,negated_conjecture,
( lt(esk55_1(X1),esk53_1(X1))
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_68,negated_conjecture,
( app(esk48_0,X1) != esk49_0
| app(esk48_0,X2) != esk49_0
| ~ lt(esk55_1(X1),esk53_1(X2))
| ~ ssList(esk54_1(X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(esk53_1(X2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( esk48_0 = nil
| lt(esk55_1(X1),esk53_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_20])]) ).
cnf(c_0_70,negated_conjecture,
( ssItem(esk53_1(X1))
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_71,negated_conjecture,
( app(esk48_0,X1) != esk49_0
| ~ ssList(esk54_1(X1))
| ~ ssList(X1)
| ~ ssItem(esk53_1(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
( esk48_0 = nil
| ssItem(esk53_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_20])]) ).
cnf(c_0_73,negated_conjecture,
( ssList(esk54_1(X1))
| nil = esk48_0
| ~ strictorderedP(esk48_0)
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_74,negated_conjecture,
( app(esk48_0,X1) != esk49_0
| ~ ssList(esk54_1(X1))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( esk48_0 = nil
| ssList(esk54_1(X1))
| app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_20])]) ).
cnf(c_0_76,negated_conjecture,
( app(esk48_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_65]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC343+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 21:05:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/2.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.42 # Preprocessing time : 0.026 s
% 0.23/2.42
% 0.23/2.42 # Proof found!
% 0.23/2.42 # SZS status Theorem
% 0.23/2.42 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 78
% 0.23/2.42 # Proof object clause steps : 60
% 0.23/2.42 # Proof object formula steps : 18
% 0.23/2.42 # Proof object conjectures : 49
% 0.23/2.42 # Proof object clause conjectures : 46
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 28
% 0.23/2.42 # Proof object initial formulas used : 9
% 0.23/2.42 # Proof object generating inferences : 18
% 0.23/2.42 # Proof object simplifying inferences : 57
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 96
% 0.23/2.42 # Removed by relevancy pruning/SinE : 0
% 0.23/2.42 # Initial clauses : 215
% 0.23/2.42 # Removed in clause preprocessing : 2
% 0.23/2.42 # Initial clauses in saturation : 213
% 0.23/2.42 # Processed clauses : 7404
% 0.23/2.42 # ...of these trivial : 204
% 0.23/2.42 # ...subsumed : 5112
% 0.23/2.42 # ...remaining for further processing : 2088
% 0.23/2.42 # Other redundant clauses eliminated : 1328
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 294
% 0.23/2.42 # Backward-rewritten : 176
% 0.23/2.42 # Generated clauses : 60741
% 0.23/2.42 # ...of the previous two non-trivial : 56953
% 0.23/2.42 # Contextual simplify-reflections : 4245
% 0.23/2.42 # Paramodulations : 59222
% 0.23/2.42 # Factorizations : 0
% 0.23/2.42 # Equation resolutions : 1511
% 0.23/2.42 # Current number of processed clauses : 1604
% 0.23/2.42 # Positive orientable unit clauses : 70
% 0.23/2.42 # Positive unorientable unit clauses: 0
% 0.23/2.42 # Negative unit clauses : 29
% 0.23/2.42 # Non-unit-clauses : 1505
% 0.23/2.42 # Current number of unprocessed clauses: 39469
% 0.23/2.42 # ...number of literals in the above : 356827
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 478
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 1059611
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 100295
% 0.23/2.42 # Non-unit clause-clause subsumptions : 6473
% 0.23/2.42 # Unit Clause-clause subsumption calls : 6818
% 0.23/2.42 # Rewrite failures with RHS unbound : 0
% 0.23/2.42 # BW rewrite match attempts : 25
% 0.23/2.42 # BW rewrite match successes : 24
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 1616216
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.622 s
% 0.23/2.42 # System time : 0.037 s
% 0.23/2.42 # Total time : 1.659 s
% 0.23/2.42 # Maximum resident set size: 55832 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 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
% 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
% 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
% 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
% 0.23/23.46 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
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 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.mepo_128.in
% 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.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------