TSTP Solution File: SWC368+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 20:28:19 EDT 2022
% Result : Theorem 0.31s 51.53s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 17 unt; 0 def)
% Number of atoms : 351 ( 93 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 463 ( 190 ~; 196 |; 37 &)
% ( 4 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 63 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| 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/sandbox2/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X3) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax56,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| 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(assume_negation,[status(cth)],[co1]) ).
fof(c_0_15,negated_conjecture,
! [X12] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ~ 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(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_14])])])])])])])]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ segmentP(X4,X5)
| ~ segmentP(X5,X6)
| segmentP(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])])])]) ).
fof(c_0_17,plain,
! [X2] :
( ( ~ segmentP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| segmentP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
fof(c_0_18,plain,
! [X2] :
( ~ ssList(X2)
| segmentP(X2,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
cnf(c_0_19,negated_conjecture,
~ segmentP(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( segmentP(X1,X2)
| ~ segmentP(X3,X2)
| ~ segmentP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( segmentP(nil,X1)
| ~ ssList(X1)
| nil != X1 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_25,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
~ segmentP(esk4_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_29,plain,
( segmentP(X1,X2)
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_27,c_0_21]) ).
fof(c_0_32,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_33,negated_conjecture,
( cons(esk5_0,nil) = esk3_0
| nil = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
esk3_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
( ssItem(esk5_0)
| nil = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_36,plain,
! [X5,X6,X9,X10] :
( ( ssList(esk12_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk13_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk12_2(X5,X6),X6),esk13_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ~ ssList(X9)
| ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])])])]) ).
fof(c_0_37,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(c_0_38,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])])])])]) ).
fof(c_0_39,plain,
! [X5,X6,X7,X8] :
( ~ ssList(X5)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(X5,X6)
| segmentP(app(app(X7,X5),X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])])])]) ).
fof(c_0_40,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_41,plain,
! [X5,X6,X9,X10] :
( ( ssList(esk6_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( ssList(esk7_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( app(esk6_2(X5,X6),cons(X6,esk7_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_42,plain,
( cons(X1,X2) = app(cons(X1,nil),X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
cons(esk5_0,nil) = esk3_0,
inference(sr,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,negated_conjecture,
ssItem(esk5_0),
inference(sr,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_45,plain,
( segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_48,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_49,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ segmentP(X2,X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
( app(esk6_2(X1,X2),cons(X2,esk7_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
( cons(esk5_0,X1) = app(esk3_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_53,plain,
( segmentP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_46]),c_0_24])]),c_0_47]) ).
cnf(c_0_54,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( segmentP(app(X1,app(X2,X3)),X4)
| ~ segmentP(X2,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(pm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( app(esk6_2(X1,esk5_0),app(esk3_0,esk7_2(X1,esk5_0))) = X1
| ~ memberP(X1,esk5_0)
| ~ ssList(esk7_2(X1,esk5_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_44])]) ).
cnf(c_0_57,plain,
( segmentP(X1,X2)
| app(X3,app(X4,X2)) != X1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_50]),c_0_47]) ).
cnf(c_0_58,plain,
( app(X1,app(X2,X3)) = app(nil,X3)
| nil != X2
| nil != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(pm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( segmentP(X1,X2)
| ~ segmentP(esk3_0,X2)
| ~ memberP(X1,esk5_0)
| ~ ssList(esk7_2(X1,esk5_0))
| ~ ssList(esk6_2(X1,esk5_0))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_56]),c_0_30])]) ).
cnf(c_0_60,plain,
( ssList(esk7_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,plain,
( segmentP(X1,X2)
| app(nil,X2) != X1
| nil != X3
| nil != X4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(pm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_63,negated_conjecture,
( cons(esk5_0,X1) = app(esk3_0,X1)
| esk3_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_33]),c_0_35]) ).
cnf(c_0_64,negated_conjecture,
( segmentP(X1,X2)
| ~ segmentP(esk3_0,X2)
| ~ memberP(X1,esk5_0)
| ~ ssList(esk6_2(X1,esk5_0))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_59,c_0_60]),c_0_44])]) ).
cnf(c_0_65,plain,
( ssList(esk6_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_66,plain,
( segmentP(X1,X2)
| app(nil,X2) != X1
| nil != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(pm,[status(thm)],[c_0_61,c_0_24]) ).
cnf(c_0_67,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( app(esk3_0,nil) = esk3_0
| esk3_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_33,c_0_63]),c_0_24])]) ).
cnf(c_0_69,negated_conjecture,
( segmentP(X1,X2)
| ~ segmentP(esk3_0,X2)
| ~ memberP(X1,esk5_0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_64,c_0_65]),c_0_44])]) ).
cnf(c_0_70,plain,
( segmentP(X1,X2)
| app(nil,X2) != X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(pm,[status(thm)],[c_0_66,c_0_24]) ).
cnf(c_0_71,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_50,c_0_67]),c_0_24])]) ).
cnf(c_0_72,negated_conjecture,
app(esk3_0,nil) = esk3_0,
inference(sr,[status(thm)],[c_0_68,c_0_34]) ).
cnf(c_0_73,negated_conjecture,
( memberP(esk4_0,esk5_0)
| nil = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_74,negated_conjecture,
( segmentP(X1,X2)
| app(nil,X2) != esk3_0
| ~ memberP(X1,esk5_0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_69,c_0_70]),c_0_30])]) ).
cnf(c_0_75,negated_conjecture,
app(nil,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_72]),c_0_72]),c_0_24]),c_0_30])]) ).
cnf(c_0_76,negated_conjecture,
memberP(esk4_0,esk5_0),
inference(sr,[status(thm)],[c_0_73,c_0_34]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_74]),c_0_75]),c_0_76]),c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWC368+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.06 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n009.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sat Jun 11 19:47:38 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.20/23.29 eprover: CPU time limit exceeded, terminating
% 0.20/23.30 eprover: CPU time limit exceeded, terminating
% 0.20/23.30 eprover: CPU time limit exceeded, terminating
% 0.20/23.31 eprover: CPU time limit exceeded, terminating
% 0.29/46.30 eprover: CPU time limit exceeded, terminating
% 0.29/46.31 eprover: CPU time limit exceeded, terminating
% 0.29/46.33 eprover: CPU time limit exceeded, terminating
% 0.29/46.33 eprover: CPU time limit exceeded, terminating
% 0.31/51.53 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.31/51.53
% 0.31/51.53 # Failure: Resource limit exceeded (time)
% 0.31/51.53 # OLD status Res
% 0.31/51.53 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.31/51.53 # Preprocessing time : 0.010 s
% 0.31/51.53 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.31/51.53
% 0.31/51.53 # Failure: Resource limit exceeded (time)
% 0.31/51.53 # OLD status Res
% 0.31/51.53 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.31/51.53 # Preprocessing time : 0.009 s
% 0.31/51.53 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.31/51.53 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.31/51.53 # Preprocessing time : 0.021 s
% 0.31/51.53
% 0.31/51.53 # Proof found!
% 0.31/51.53 # SZS status Theorem
% 0.31/51.53 # SZS output start CNFRefutation
% See solution above
% 0.31/51.54 # Proof object total steps : 78
% 0.31/51.54 # Proof object clause steps : 50
% 0.31/51.54 # Proof object formula steps : 28
% 0.31/51.54 # Proof object conjectures : 29
% 0.31/51.54 # Proof object clause conjectures : 26
% 0.31/51.54 # Proof object formula conjectures : 3
% 0.31/51.54 # Proof object initial clauses used : 23
% 0.31/51.54 # Proof object initial formulas used : 14
% 0.31/51.54 # Proof object generating inferences : 20
% 0.31/51.54 # Proof object simplifying inferences : 44
% 0.31/51.54 # Training examples: 0 positive, 0 negative
% 0.31/51.54 # Parsed axioms : 96
% 0.31/51.54 # Removed by relevancy pruning/SinE : 65
% 0.31/51.54 # Initial clauses : 63
% 0.31/51.54 # Removed in clause preprocessing : 0
% 0.31/51.54 # Initial clauses in saturation : 63
% 0.31/51.54 # Processed clauses : 31842
% 0.31/51.54 # ...of these trivial : 182
% 0.31/51.54 # ...subsumed : 28904
% 0.31/51.54 # ...remaining for further processing : 2756
% 0.31/51.54 # Other redundant clauses eliminated : 194
% 0.31/51.54 # Clauses deleted for lack of memory : 71116
% 0.31/51.54 # Backward-subsumed : 113
% 0.31/51.54 # Backward-rewritten : 67
% 0.31/51.54 # Generated clauses : 231728
% 0.31/51.54 # ...of the previous two non-trivial : 222131
% 0.31/51.54 # Contextual simplify-reflections : 6376
% 0.31/51.54 # Paramodulations : 231219
% 0.31/51.54 # Factorizations : 0
% 0.31/51.54 # Equation resolutions : 504
% 0.31/51.54 # Current number of processed clauses : 2570
% 0.31/51.54 # Positive orientable unit clauses : 120
% 0.31/51.54 # Positive unorientable unit clauses: 0
% 0.31/51.54 # Negative unit clauses : 499
% 0.31/51.54 # Non-unit-clauses : 1951
% 0.31/51.54 # Current number of unprocessed clauses: 115165
% 0.31/51.54 # ...number of literals in the above : 648453
% 0.31/51.54 # Current number of archived formulas : 0
% 0.31/51.54 # Current number of archived clauses : 185
% 0.31/51.54 # Clause-clause subsumption calls (NU) : 940532
% 0.31/51.54 # Rec. Clause-clause subsumption calls : 305636
% 0.31/51.54 # Non-unit clause-clause subsumptions : 11787
% 0.31/51.54 # Unit Clause-clause subsumption calls : 44074
% 0.31/51.54 # Rewrite failures with RHS unbound : 0
% 0.31/51.54 # BW rewrite match attempts : 718
% 0.31/51.54 # BW rewrite match successes : 33
% 0.31/51.54 # Condensation attempts : 0
% 0.31/51.54 # Condensation successes : 0
% 0.31/51.54 # Termbank termtop insertions : 3729134
% 0.31/51.54
% 0.31/51.54 # -------------------------------------------------
% 0.31/51.54 # User time : 4.161 s
% 0.31/51.54 # System time : 0.092 s
% 0.31/51.54 # Total time : 4.253 s
% 0.31/51.54 # Maximum resident set size: 135892 pages
% 0.31/69.31 eprover: CPU time limit exceeded, terminating
% 0.31/69.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.33 eprover: No such file or directory
% 0.31/69.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.33 eprover: No such file or directory
% 0.31/69.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.34 eprover: No such file or directory
% 0.31/69.34 eprover: CPU time limit exceeded, terminating
% 0.31/69.34 eprover: CPU time limit exceeded, terminating
% 0.31/69.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.35 eprover: No such file or directory
% 0.31/69.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.35 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.36 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/69.37 eprover: No such file or directory
% 0.31/69.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.38 eprover: No such file or directory
% 0.31/69.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.38 eprover: No such file or directory
% 0.31/69.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.38 eprover: No such file or directory
% 0.31/69.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.38 eprover: No such file or directory
% 0.31/69.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.38 eprover: No such file or directory
% 0.31/69.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.39 eprover: No such file or directory
% 0.31/69.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.39 eprover: No such file or directory
% 0.31/69.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.39 eprover: No such file or directory
% 0.31/69.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.39 eprover: No such file or directory
% 0.31/69.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/69.39 eprover: No such file or directory
%------------------------------------------------------------------------------