TSTP Solution File: SWC356+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWC356+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : 300s
% DateTime : Tue May 21 04:29:13 EDT 2024
% Result : Theorem 56.43s 7.62s
% Output : CNFRefutation 56.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 21 unt; 0 def)
% Number of atoms : 343 ( 107 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 439 ( 179 ~; 183 |; 36 &)
% ( 3 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 65 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| segmentP(X2,X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
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(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(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
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(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(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(c_0_13,plain,
! [X90,X91,X92] :
( ~ ssList(X90)
| ~ ssList(X91)
| ~ ssList(X92)
| app(X92,X91) != app(X90,X91)
| X92 = X90 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])]) ).
fof(c_0_14,plain,
! [X96,X97,X98] :
( ~ ssList(X96)
| ~ ssList(X97)
| ~ ssList(X98)
| app(app(X96,X97),X98) = app(X96,app(X97,X98)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).
fof(c_0_15,plain,
! [X87,X88] :
( ~ ssList(X87)
| ~ ssList(X88)
| ssList(app(X87,X88)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).
fof(c_0_16,plain,
! [X89] :
( ~ ssList(X89)
| app(nil,X89) = X89 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| segmentP(X2,X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
cnf(c_0_18,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_23,negated_conjecture,
! [X12] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& neq(esk2_0,nil)
& ~ segmentP(esk2_0,esk1_0)
& ( nil = esk4_0
| ssItem(esk5_0) )
& ( nil = esk3_0
| ssItem(esk5_0) )
& ( nil = esk4_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk3_0
| cons(esk5_0,nil) = esk3_0 )
& ( nil = esk4_0
| memberP(esk4_0,esk5_0) )
& ( nil = esk3_0
| memberP(esk4_0,esk5_0) )
& ( nil = esk4_0
| ~ ssItem(X12)
| esk5_0 = X12
| ~ memberP(esk4_0,X12)
| ~ leq(X12,esk5_0) )
& ( nil = esk3_0
| ~ ssItem(X12)
| esk5_0 = X12
| ~ memberP(esk4_0,X12)
| ~ leq(X12,esk5_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
cnf(c_0_24,plain,
( X1 = app(X2,X3)
| app(X1,X4) != app(X2,app(X3,X4))
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_25,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_19,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X99,X100] :
( ( nil = X100
| nil != app(X99,X100)
| ~ ssList(X100)
| ~ ssList(X99) )
& ( nil = X99
| nil != app(X99,X100)
| ~ ssList(X100)
| ~ ssList(X99) )
& ( nil != X100
| nil != X99
| nil = app(X99,X100)
| ~ ssList(X100)
| ~ ssList(X99) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])]) ).
cnf(c_0_29,plain,
( X1 = app(nil,X2)
| app(X1,X3) != app(X2,X3)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_31,plain,
! [X93,X94,X95] :
( ~ ssList(X93)
| ~ ssList(X94)
| ~ ssList(X95)
| app(X94,X95) != app(X94,X93)
| X95 = X93 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])]) ).
cnf(c_0_32,plain,
( nil = app(X2,X1)
| nil != X1
| nil != X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X101] :
( ~ ssList(X101)
| app(X101,nil) = X101 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).
cnf(c_0_34,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_36,plain,
! [X71,X72,X73,X74] :
( ~ ssList(X71)
| ~ ssList(X72)
| ~ ssList(X73)
| ~ ssList(X74)
| ~ segmentP(X71,X72)
| segmentP(app(app(X73,X71),X74),X72) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])])]) ).
cnf(c_0_37,negated_conjecture,
( X1 = app(nil,X2)
| app(X1,esk4_0) != app(X2,esk4_0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_38,plain,
! [X57,X58] :
( ~ ssList(X57)
| ~ ssItem(X58)
| cons(X58,X57) = app(cons(X58,nil),X57) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).
fof(c_0_39,plain,
! [X59,X60,X63,X64] :
( ( ssList(esk12_2(X59,X60))
| ~ segmentP(X59,X60)
| ~ ssList(X60)
| ~ ssList(X59) )
& ( ssList(esk13_2(X59,X60))
| ~ segmentP(X59,X60)
| ~ ssList(X60)
| ~ ssList(X59) )
& ( app(app(esk12_2(X59,X60),X60),esk13_2(X59,X60)) = X59
| ~ segmentP(X59,X60)
| ~ ssList(X60)
| ~ ssList(X59) )
& ( ~ ssList(X63)
| ~ ssList(X64)
| app(app(X63,X60),X64) != X59
| segmentP(X59,X60)
| ~ ssList(X60)
| ~ ssList(X59) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_40,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_32])]),c_0_22])]) ).
cnf(c_0_42,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_20]) ).
cnf(c_0_44,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( segmentP(app(app(X3,X1),X4),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
( app(nil,X1) = esk4_0
| app(esk4_0,esk4_0) != app(X1,esk4_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_47,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
( nil = esk3_0
| cons(esk5_0,nil) = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( nil = esk3_0
| ssItem(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_50,plain,
! [X31,X32,X35,X36] :
( ( ssList(esk8_2(X31,X32))
| ~ memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) )
& ( ssList(esk9_2(X31,X32))
| ~ memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) )
& ( app(esk8_2(X31,X32),cons(X32,esk9_2(X31,X32))) = X31
| ~ memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) )
& ( ~ ssList(X35)
| ~ ssList(X36)
| app(X35,cons(X32,X36)) != X31
| memberP(X31,X32)
| ~ ssItem(X32)
| ~ ssList(X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])]) ).
cnf(c_0_51,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_39]) ).
cnf(c_0_52,plain,
( X1 = nil
| app(nil,X1) != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_22])]) ).
cnf(c_0_53,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_42,c_0_19]),c_0_22])]),c_0_20]) ).
cnf(c_0_54,plain,
( ssList(app(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_22])]) ).
cnf(c_0_55,negated_conjecture,
( app(nil,X1) = esk3_0
| app(esk3_0,esk4_0) != app(X1,esk4_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_56,negated_conjecture,
~ segmentP(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_57,plain,
( segmentP(app(X1,X2),X3)
| ~ segmentP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_22])]) ).
cnf(c_0_58,negated_conjecture,
app(nil,esk4_0) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_30])]) ).
cnf(c_0_59,negated_conjecture,
( cons(esk5_0,X1) = app(esk3_0,X1)
| esk3_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_60,plain,
( ssList(esk9_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,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_51]) ).
cnf(c_0_62,plain,
( app(X1,nil) = nil
| app(nil,X1) != nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_22])]),c_0_54]) ).
cnf(c_0_63,negated_conjecture,
app(nil,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_44])]) ).
cnf(c_0_64,negated_conjecture,
~ segmentP(esk4_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_27]),c_0_35]) ).
cnf(c_0_65,negated_conjecture,
( segmentP(esk4_0,X1)
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_30]),c_0_22])]) ).
cnf(c_0_66,negated_conjecture,
( cons(esk5_0,esk9_2(X1,X2)) = app(esk3_0,esk9_2(X1,X2))
| esk3_0 = nil
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( nil = esk3_0
| memberP(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_68,plain,
( segmentP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_21]),c_0_22])]),c_0_20]) ).
cnf(c_0_69,negated_conjecture,
( app(esk3_0,nil) = nil
| esk3_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44])]) ).
cnf(c_0_70,negated_conjecture,
~ segmentP(nil,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_44])]) ).
cnf(c_0_71,negated_conjecture,
( cons(esk5_0,esk9_2(esk4_0,esk5_0)) = app(esk3_0,esk9_2(esk4_0,esk5_0))
| esk3_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_30])]),c_0_49]) ).
cnf(c_0_72,negated_conjecture,
esk3_0 != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_44]),c_0_22])]),c_0_70]) ).
cnf(c_0_73,plain,
( app(esk8_2(X1,X2),cons(X2,esk9_2(X1,X2))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_74,negated_conjecture,
cons(esk5_0,esk9_2(esk4_0,esk5_0)) = app(esk3_0,esk9_2(esk4_0,esk5_0)),
inference(sr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
memberP(esk4_0,esk5_0),
inference(sr,[status(thm)],[c_0_67,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
ssItem(esk5_0),
inference(sr,[status(thm)],[c_0_49,c_0_72]) ).
cnf(c_0_77,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_19]),c_0_43]) ).
cnf(c_0_78,negated_conjecture,
app(esk8_2(esk4_0,esk5_0),app(esk3_0,esk9_2(esk4_0,esk5_0))) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_30]),c_0_76])]) ).
cnf(c_0_79,negated_conjecture,
( ~ ssList(esk9_2(esk4_0,esk5_0))
| ~ ssList(esk8_2(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_44])]),c_0_64]) ).
cnf(c_0_80,negated_conjecture,
~ ssList(esk8_2(esk4_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_60]),c_0_75]),c_0_30]),c_0_76])]) ).
cnf(c_0_81,plain,
( ssList(esk8_2(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_82,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_80,c_0_81]),c_0_75]),c_0_30]),c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC356+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 03:14:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.43/7.62 # Version: 3.1.0
% 56.43/7.62 # Preprocessing class: FSLSSMSSSSSNFFN.
% 56.43/7.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.43/7.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 56.43/7.62 # Starting new_bool_3 with 300s (1) cores
% 56.43/7.62 # Starting new_bool_1 with 300s (1) cores
% 56.43/7.62 # Starting sh5l with 300s (1) cores
% 56.43/7.62 # new_bool_3 with pid 23467 completed with status 0
% 56.43/7.62 # Result found by new_bool_3
% 56.43/7.62 # Preprocessing class: FSLSSMSSSSSNFFN.
% 56.43/7.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.43/7.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 56.43/7.62 # Starting new_bool_3 with 300s (1) cores
% 56.43/7.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 56.43/7.62 # Search class: FGHSF-FFMM21-MFFFFFNN
% 56.43/7.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 56.43/7.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 56.43/7.62 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23470 completed with status 0
% 56.43/7.62 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 56.43/7.62 # Preprocessing class: FSLSSMSSSSSNFFN.
% 56.43/7.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.43/7.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 56.43/7.62 # Starting new_bool_3 with 300s (1) cores
% 56.43/7.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 56.43/7.62 # Search class: FGHSF-FFMM21-MFFFFFNN
% 56.43/7.62 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 56.43/7.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 56.43/7.62 # Preprocessing time : 0.002 s
% 56.43/7.62 # Presaturation interreduction done
% 56.43/7.62
% 56.43/7.62 # Proof found!
% 56.43/7.62 # SZS status Theorem
% 56.43/7.62 # SZS output start CNFRefutation
% See solution above
% 56.43/7.62 # Parsed axioms : 96
% 56.43/7.62 # Removed by relevancy pruning/SinE : 57
% 56.43/7.62 # Initial clauses : 76
% 56.43/7.62 # Removed in clause preprocessing : 0
% 56.43/7.62 # Initial clauses in saturation : 76
% 56.43/7.62 # Processed clauses : 20854
% 56.43/7.62 # ...of these trivial : 508
% 56.43/7.62 # ...subsumed : 15137
% 56.43/7.62 # ...remaining for further processing : 5209
% 56.43/7.62 # Other redundant clauses eliminated : 204
% 56.43/7.62 # Clauses deleted for lack of memory : 0
% 56.43/7.62 # Backward-subsumed : 508
% 56.43/7.62 # Backward-rewritten : 375
% 56.43/7.62 # Generated clauses : 395421
% 56.43/7.62 # ...of the previous two non-redundant : 387820
% 56.43/7.62 # ...aggressively subsumed : 0
% 56.43/7.62 # Contextual simplify-reflections : 1490
% 56.43/7.62 # Paramodulations : 394811
% 56.43/7.62 # Factorizations : 2
% 56.43/7.62 # NegExts : 0
% 56.43/7.62 # Equation resolutions : 260
% 56.43/7.62 # Disequality decompositions : 0
% 56.43/7.62 # Total rewrite steps : 205904
% 56.43/7.62 # ...of those cached : 205485
% 56.43/7.62 # Propositional unsat checks : 1
% 56.43/7.62 # Propositional check models : 0
% 56.43/7.62 # Propositional check unsatisfiable : 0
% 56.43/7.62 # Propositional clauses : 0
% 56.43/7.62 # Propositional clauses after purity: 0
% 56.43/7.62 # Propositional unsat core size : 0
% 56.43/7.62 # Propositional preprocessing time : 0.000
% 56.43/7.62 # Propositional encoding time : 0.767
% 56.43/7.62 # Propositional solver time : 0.330
% 56.43/7.62 # Success case prop preproc time : 0.000
% 56.43/7.62 # Success case prop encoding time : 0.000
% 56.43/7.62 # Success case prop solver time : 0.000
% 56.43/7.62 # Current number of processed clauses : 3897
% 56.43/7.62 # Positive orientable unit clauses : 548
% 56.43/7.62 # Positive unorientable unit clauses: 0
% 56.43/7.62 # Negative unit clauses : 410
% 56.43/7.62 # Non-unit-clauses : 2939
% 56.43/7.62 # Current number of unprocessed clauses: 359173
% 56.43/7.62 # ...number of literals in the above : 2083630
% 56.43/7.62 # Current number of archived formulas : 0
% 56.43/7.62 # Current number of archived clauses : 1304
% 56.43/7.62 # Clause-clause subsumption calls (NU) : 973609
% 56.43/7.62 # Rec. Clause-clause subsumption calls : 191091
% 56.43/7.62 # Non-unit clause-clause subsumptions : 10012
% 56.43/7.62 # Unit Clause-clause subsumption calls : 52530
% 56.43/7.62 # Rewrite failures with RHS unbound : 0
% 56.43/7.62 # BW rewrite match attempts : 4613
% 56.43/7.62 # BW rewrite match successes : 86
% 56.43/7.62 # Condensation attempts : 0
% 56.43/7.62 # Condensation successes : 0
% 56.43/7.62 # Termbank termtop insertions : 15126530
% 56.43/7.62 # Search garbage collected termcells : 2032
% 56.43/7.62
% 56.43/7.62 # -------------------------------------------------
% 56.43/7.62 # User time : 6.673 s
% 56.43/7.62 # System time : 0.295 s
% 56.43/7.62 # Total time : 6.968 s
% 56.43/7.62 # Maximum resident set size: 2048 pages
% 56.43/7.62
% 56.43/7.62 # -------------------------------------------------
% 56.43/7.62 # User time : 6.677 s
% 56.43/7.62 # System time : 0.296 s
% 56.43/7.62 # Total time : 6.974 s
% 56.43/7.62 # Maximum resident set size: 1820 pages
% 56.43/7.62 % E---3.1 exiting
%------------------------------------------------------------------------------