TSTP Solution File: SWC083+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC083+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 20:13:30 EDT 2022
% Result : Theorem 8.24s 2.53s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 38 unt; 0 def)
% Number of atoms : 310 ( 79 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 368 ( 152 ~; 148 |; 30 &)
% ( 4 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 63 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ~ ssList(X8)
| app(app(X6,X7),X8) != X3
| app(X6,X8) != X4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
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(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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(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(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
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(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ~ ssList(X8)
| app(app(X6,X7),X8) != X3
| app(X6,X8) != X4 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_14,plain,
! [X26,X27,X29] :
( ( ssList(esk7_2(X26,X27))
| ~ rearsegP(X26,X27)
| ~ ssList(X27)
| ~ ssList(X26) )
& ( app(esk7_2(X26,X27),X27) = X26
| ~ rearsegP(X26,X27)
| ~ ssList(X27)
| ~ ssList(X26) )
& ( ~ ssList(X29)
| app(X29,X27) != X26
| rearsegP(X26,X27)
| ~ ssList(X27)
| ~ ssList(X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).
fof(c_0_15,plain,
! [X132,X133] :
( ~ ssList(X132)
| ~ ssList(X133)
| ssList(app(X132,X133)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
fof(c_0_16,negated_conjecture,
! [X257] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& neq(esk49_0,nil)
& ( ~ ssList(X257)
| ~ neq(X257,nil)
| ~ segmentP(esk49_0,X257)
| ~ segmentP(esk48_0,X257) )
& ssList(esk52_0)
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk52_0,esk53_0),esk54_0) = esk50_0
& app(esk52_0,esk54_0) = esk51_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])])])]) ).
cnf(c_0_17,plain,
( rearsegP(X3,X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
app(app(esk52_0,esk53_0),esk54_0) = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X216,X217,X218] :
( ~ ssList(X216)
| ~ ssList(X217)
| ~ ssList(X218)
| app(X218,X217) != app(X216,X217)
| X218 = X216 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
cnf(c_0_22,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_17]),c_0_18]) ).
cnf(c_0_23,negated_conjecture,
app(app(esk52_0,esk53_0),esk54_0) = esk48_0,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( rearsegP(esk48_0,esk54_0)
| ~ ssList(app(esk52_0,esk53_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
ssList(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( X1 = app(esk52_0,esk53_0)
| app(X1,esk54_0) != esk48_0
| ~ ssList(app(esk52_0,esk53_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).
cnf(c_0_30,plain,
( app(esk7_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,negated_conjecture,
rearsegP(esk48_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_27]),c_0_28])]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( ssList(esk7_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_34,plain,
! [X30,X31,X34,X35] :
( ( ssList(esk8_2(X30,X31))
| ~ segmentP(X30,X31)
| ~ ssList(X31)
| ~ ssList(X30) )
& ( ssList(esk9_2(X30,X31))
| ~ segmentP(X30,X31)
| ~ ssList(X31)
| ~ ssList(X30) )
& ( app(app(esk8_2(X30,X31),X31),esk9_2(X30,X31)) = X30
| ~ segmentP(X30,X31)
| ~ ssList(X31)
| ~ ssList(X30) )
& ( ~ ssList(X34)
| ~ ssList(X35)
| app(app(X34,X31),X35) != X30
| segmentP(X30,X31)
| ~ ssList(X31)
| ~ ssList(X30) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
cnf(c_0_35,negated_conjecture,
( X1 = app(esk52_0,esk53_0)
| app(X1,esk54_0) != esk48_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_18]),c_0_27]),c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
app(esk7_2(esk48_0,esk54_0),esk54_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24]),c_0_32])]) ).
cnf(c_0_37,negated_conjecture,
ssList(esk7_2(esk48_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_24]),c_0_32])]) ).
cnf(c_0_38,plain,
( segmentP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,X3),X2) != X4
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
esk7_2(esk48_0,esk54_0) = app(esk52_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
app(esk52_0,esk54_0) = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_41,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
ssList(app(esk52_0,esk53_0)),
inference(rw,[status(thm)],[c_0_37,c_0_39]) ).
fof(c_0_44,plain,
! [X229] :
( ~ ssList(X229)
| app(X229,nil) = X229 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
cnf(c_0_45,negated_conjecture,
app(esk52_0,esk54_0) = esk49_0,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( segmentP(app(esk48_0,X1),esk54_0)
| ~ ssList(app(esk48_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_24])]),c_0_43])]) ).
cnf(c_0_47,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_49,negated_conjecture,
( segmentP(app(esk49_0,X1),esk54_0)
| ~ ssList(app(esk49_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_24]),c_0_28])]) ).
cnf(c_0_50,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk49_0,X1)
| ~ segmentP(esk48_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_52,negated_conjecture,
segmentP(esk48_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_32]),c_0_48])]) ).
cnf(c_0_53,negated_conjecture,
segmentP(esk49_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_50]),c_0_48])]) ).
fof(c_0_54,plain,
! [X111,X112] :
( ( ~ neq(X111,X112)
| X111 != X112
| ~ ssList(X112)
| ~ ssList(X111) )
& ( X111 = X112
| neq(X111,X112)
| ~ ssList(X112)
| ~ ssList(X111) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_55,negated_conjecture,
~ neq(esk54_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_24])]) ).
cnf(c_0_56,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,negated_conjecture,
esk54_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_48]),c_0_24])]) ).
cnf(c_0_58,negated_conjecture,
app(esk52_0,nil) = esk49_0,
inference(rw,[status(thm)],[c_0_45,c_0_57]) ).
fof(c_0_59,plain,
! [X22,X23,X25] :
( ( ssList(esk6_2(X22,X23))
| ~ frontsegP(X22,X23)
| ~ ssList(X23)
| ~ ssList(X22) )
& ( app(X23,esk6_2(X22,X23)) = X22
| ~ frontsegP(X22,X23)
| ~ ssList(X23)
| ~ ssList(X22) )
& ( ~ ssList(X25)
| app(X23,X25) != X22
| frontsegP(X22,X23)
| ~ ssList(X23)
| ~ ssList(X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(c_0_60,plain,
! [X224,X225,X226] :
( ~ ssList(X224)
| ~ ssList(X225)
| ~ ssList(X226)
| app(app(X224,X225),X226) = app(X224,app(X225,X226)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_61,negated_conjecture,
esk52_0 = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_28])]) ).
cnf(c_0_62,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_63,plain,
! [X137] :
( ~ ssList(X137)
| app(nil,X137) = X137 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_64,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
app(esk49_0,nil) = esk49_0,
inference(rw,[status(thm)],[c_0_58,c_0_61]) ).
fof(c_0_66,plain,
! [X219,X220,X221] :
( ~ ssList(X219)
| ~ ssList(X220)
| ~ ssList(X221)
| app(X220,X221) != app(X220,X219)
| X221 = X219 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
cnf(c_0_67,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_18]) ).
cnf(c_0_68,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( app(esk49_0,app(nil,X1)) = app(esk49_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_48]),c_0_50])]) ).
cnf(c_0_70,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_72,negated_conjecture,
frontsegP(esk49_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_45]),c_0_28]),c_0_24])]) ).
cnf(c_0_73,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,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_64,c_0_68]),c_0_48])]) ).
cnf(c_0_75,negated_conjecture,
( ssList(app(esk49_0,X1))
| ~ ssList(app(nil,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_69]),c_0_50])]) ).
cnf(c_0_76,negated_conjecture,
app(esk52_0,app(esk53_0,esk54_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_23,c_0_64]),c_0_24]),c_0_27]),c_0_28])]) ).
fof(c_0_77,plain,
! [X165] :
( ~ ssList(X165)
| frontsegP(X165,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).
cnf(c_0_78,negated_conjecture,
( X1 = esk54_0
| app(esk52_0,X1) != esk49_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_45]),c_0_24]),c_0_28])]) ).
cnf(c_0_79,negated_conjecture,
app(esk52_0,esk6_2(esk49_0,esk52_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_50]),c_0_28])]) ).
cnf(c_0_80,negated_conjecture,
ssList(esk6_2(esk49_0,esk52_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_72]),c_0_28]),c_0_50])]) ).
cnf(c_0_81,negated_conjecture,
app(nil,esk49_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_65]),c_0_48]),c_0_50])]) ).
cnf(c_0_82,negated_conjecture,
( ssList(app(esk49_0,X1))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
cnf(c_0_83,negated_conjecture,
app(esk49_0,app(esk53_0,nil)) = esk48_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_57]),c_0_61]) ).
cnf(c_0_84,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,negated_conjecture,
esk6_2(esk49_0,esk52_0) = esk54_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_86,negated_conjecture,
( segmentP(app(esk49_0,X1),esk49_0)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_81]),c_0_50]),c_0_48])]),c_0_82]) ).
cnf(c_0_87,negated_conjecture,
app(esk49_0,esk53_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_47]),c_0_27])]) ).
cnf(c_0_88,plain,
( app(X1,esk6_2(X1,X1)) = X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
esk6_2(esk49_0,esk49_0) = nil,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_57]),c_0_61]) ).
cnf(c_0_90,negated_conjecture,
segmentP(esk48_0,esk49_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_27])]) ).
cnf(c_0_91,negated_conjecture,
segmentP(esk49_0,esk49_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_88]),c_0_89]),c_0_48]),c_0_50])]) ).
cnf(c_0_92,negated_conjecture,
neq(esk49_0,nil),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_90]),c_0_91]),c_0_50]),c_0_92])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 12:55:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.24/2.53 # ENIGMATIC: Solved by autoschedule:
% 8.24/2.53 # No SInE strategy applied
% 8.24/2.53 # Trying AutoSched0 for 150 seconds
% 8.24/2.53 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.24/2.53 # and selection function SelectNewComplexAHP.
% 8.24/2.53 #
% 8.24/2.53 # Preprocessing time : 0.031 s
% 8.24/2.53 # Presaturation interreduction done
% 8.24/2.53
% 8.24/2.53 # Proof found!
% 8.24/2.53 # SZS status Theorem
% 8.24/2.53 # SZS output start CNFRefutation
% See solution above
% 8.24/2.53 # Training examples: 0 positive, 0 negative
% 8.24/2.53
% 8.24/2.53 # -------------------------------------------------
% 8.24/2.53 # User time : 0.175 s
% 8.24/2.53 # System time : 0.010 s
% 8.24/2.53 # Total time : 0.185 s
% 8.24/2.53 # Maximum resident set size: 7124 pages
% 8.24/2.53
%------------------------------------------------------------------------------