TSTP Solution File: SWC021+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWC021+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 04:22:38 EDT 2024
% Result : Theorem 1.56s 0.70s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 27
% Syntax : Number of formulae : 154 ( 39 unt; 0 def)
% Number of atoms : 549 ( 136 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 672 ( 277 ~; 265 |; 50 &)
% ( 7 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn 113 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ frontsegP(X4,X3)
| ~ strictorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& frontsegP(X2,X5)
& frontsegP(X1,X5) )
| ? [X6] :
( ssList(X6)
& neq(X3,X6)
& frontsegP(X4,X6)
& segmentP(X6,X3)
& strictorderedP(X6) )
| ( nil = X2
& nil = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax42,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
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(ax6,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax50,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( rearsegP(X1,X2)
=> rearsegP(app(X3,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).
fof(ax51,axiom,
! [X1] :
( ssList(X1)
=> rearsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).
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(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax20,axiom,
! [X1] :
( ssList(X1)
=> ( nil = X1
| ? [X2] :
( ssList(X2)
& ? [X3] :
( ssItem(X3)
& cons(X3,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax44,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( frontsegP(cons(X1,X3),cons(X2,X4))
<=> ( X1 = X2
& frontsegP(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(ax45,axiom,
! [X1] :
( ssList(X1)
=> frontsegP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(ax68,axiom,
! [X1] :
( ssItem(X1)
=> strictorderedP(cons(X1,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(ax18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ frontsegP(X4,X3)
| ~ strictorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& frontsegP(X2,X5)
& frontsegP(X1,X5) )
| ? [X6] :
( ssList(X6)
& neq(X3,X6)
& frontsegP(X4,X6)
& segmentP(X6,X3)
& strictorderedP(X6) )
| ( nil = X2
& nil = X1 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_28,negated_conjecture,
! [X11,X12] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& frontsegP(esk4_0,esk3_0)
& strictorderedP(esk3_0)
& ( ~ ssList(X11)
| ~ neq(X11,nil)
| ~ frontsegP(esk2_0,X11)
| ~ frontsegP(esk1_0,X11) )
& ( ~ ssList(X12)
| ~ neq(esk3_0,X12)
| ~ frontsegP(esk4_0,X12)
| ~ segmentP(X12,esk3_0)
| ~ strictorderedP(X12) )
& ( nil != esk2_0
| nil != esk1_0 ) ),
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_27])])])])]) ).
cnf(c_0_29,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ frontsegP(esk2_0,X1)
| ~ frontsegP(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_30,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X67] :
( ~ ssList(X67)
| frontsegP(X67,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])])]) ).
cnf(c_0_33,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
inference(fof_simplification,[status(thm)],[ax15]) ).
cnf(c_0_35,negated_conjecture,
( ~ frontsegP(esk3_0,X1)
| ~ frontsegP(esk4_0,X1)
| ~ ssList(X1)
| ~ neq(X1,nil) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
frontsegP(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_33,c_0_30]) ).
fof(c_0_39,plain,
! [X77,X78] :
( ( ~ neq(X77,X78)
| X77 != X78
| ~ ssList(X78)
| ~ ssList(X77) )
& ( X77 = X78
| neq(X77,X78)
| ~ ssList(X78)
| ~ ssList(X77) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])]) ).
cnf(c_0_40,negated_conjecture,
~ neq(esk3_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
fof(c_0_43,plain,
! [X58,X59,X61] :
( ( ssList(esk14_2(X58,X59))
| ~ frontsegP(X58,X59)
| ~ ssList(X59)
| ~ ssList(X58) )
& ( app(X59,esk14_2(X58,X59)) = X58
| ~ frontsegP(X58,X59)
| ~ ssList(X59)
| ~ ssList(X58) )
& ( ~ ssList(X61)
| app(X59,X61) != X58
| frontsegP(X58,X59)
| ~ ssList(X59)
| ~ ssList(X58) ) ),
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)],[ax5])])])])])]) ).
cnf(c_0_44,negated_conjecture,
esk3_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_38])]) ).
cnf(c_0_45,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_46,plain,
! [X18] :
( ~ ssList(X18)
| app(nil,X18) = X18 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).
cnf(c_0_47,plain,
( app(X1,esk14_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
frontsegP(esk4_0,nil),
inference(rw,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_45,c_0_31]) ).
cnf(c_0_50,plain,
( ssList(esk14_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_51,plain,
! [X40,X41,X44,X45] :
( ( ssList(esk12_2(X40,X41))
| ~ segmentP(X40,X41)
| ~ ssList(X41)
| ~ ssList(X40) )
& ( ssList(esk13_2(X40,X41))
| ~ segmentP(X40,X41)
| ~ ssList(X41)
| ~ ssList(X40) )
& ( app(app(esk12_2(X40,X41),X41),esk13_2(X40,X41)) = X40
| ~ segmentP(X40,X41)
| ~ ssList(X41)
| ~ ssList(X40) )
& ( ~ ssList(X44)
| ~ ssList(X45)
| app(app(X44,X41),X45) != X40
| segmentP(X40,X41)
| ~ ssList(X41)
| ~ ssList(X40) ) ),
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_52,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
app(nil,esk14_2(esk4_0,nil)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_42])]) ).
cnf(c_0_54,negated_conjecture,
ssList(esk14_2(esk4_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_42]),c_0_49])]) ).
cnf(c_0_55,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_51]) ).
cnf(c_0_56,negated_conjecture,
esk14_2(esk4_0,nil) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_57,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_55]) ).
cnf(c_0_58,negated_conjecture,
app(nil,esk4_0) = esk4_0,
inference(rw,[status(thm)],[c_0_53,c_0_56]) ).
fof(c_0_59,plain,
! [X25] :
( ~ ssList(X25)
| app(X25,nil) = X25 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).
fof(c_0_60,plain,
! [X114,X115,X117] :
( ( ssList(esk17_2(X114,X115))
| ~ rearsegP(X114,X115)
| ~ ssList(X115)
| ~ ssList(X114) )
& ( app(esk17_2(X114,X115),X115) = X114
| ~ rearsegP(X114,X115)
| ~ ssList(X115)
| ~ ssList(X114) )
& ( ~ ssList(X117)
| app(X117,X115) != X114
| rearsegP(X114,X115)
| ~ ssList(X115)
| ~ ssList(X114) ) ),
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)],[ax6])])])])])]) ).
fof(c_0_61,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])])])]) ).
cnf(c_0_62,negated_conjecture,
( segmentP(app(esk4_0,X1),esk4_0)
| ~ ssList(app(esk4_0,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_49]),c_0_42])]) ).
cnf(c_0_63,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,plain,
( rearsegP(X3,X2)
| ~ ssList(X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
( app(app(esk12_2(X1,X2),X2),esk13_2(X1,X2)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_67,negated_conjecture,
segmentP(esk4_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_49]),c_0_42])]) ).
cnf(c_0_68,plain,
( ssList(esk13_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_69,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_64]),c_0_65]) ).
cnf(c_0_70,negated_conjecture,
app(app(esk12_2(esk4_0,esk4_0),esk4_0),esk13_2(esk4_0,esk4_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_49])]) ).
cnf(c_0_71,negated_conjecture,
ssList(esk13_2(esk4_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_49])]) ).
cnf(c_0_72,plain,
( ssList(esk12_2(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_73,plain,
! [X118,X119,X120] :
( ~ ssList(X118)
| ~ ssList(X119)
| ~ ssList(X120)
| ~ rearsegP(X118,X119)
| rearsegP(app(X120,X118),X119) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])])]) ).
fof(c_0_74,plain,
! [X202] :
( ~ ssList(X202)
| rearsegP(X202,nil) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])])]) ).
cnf(c_0_75,negated_conjecture,
( rearsegP(esk4_0,esk13_2(esk4_0,esk4_0))
| ~ ssList(app(esk12_2(esk4_0,esk4_0),esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_76,negated_conjecture,
ssList(esk12_2(esk4_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_49])]) ).
cnf(c_0_77,plain,
( rearsegP(app(X3,X1),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ rearsegP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_79,plain,
( app(esk17_2(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_80,negated_conjecture,
rearsegP(esk4_0,esk13_2(esk4_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_65]),c_0_49]),c_0_76])]) ).
cnf(c_0_81,plain,
( ssList(esk17_2(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( rearsegP(app(X1,X2),nil)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_42])]) ).
cnf(c_0_83,negated_conjecture,
app(esk17_2(esk4_0,esk13_2(esk4_0,esk4_0)),esk13_2(esk4_0,esk4_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_71]),c_0_49])]) ).
cnf(c_0_84,negated_conjecture,
ssList(esk17_2(esk4_0,esk13_2(esk4_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_80]),c_0_71]),c_0_49])]) ).
fof(c_0_85,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
inference(fof_simplification,[status(thm)],[ax78]) ).
fof(c_0_86,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax85]) ).
cnf(c_0_87,negated_conjecture,
rearsegP(esk4_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_71])]) ).
fof(c_0_88,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[ax21]) ).
fof(c_0_89,plain,
! [X105] :
( ~ ssList(X105)
| nil = X105
| cons(hd(X105),tl(X105)) = X105 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
fof(c_0_90,plain,
! [X121,X122] :
( ~ ssList(X121)
| ~ ssList(X122)
| nil = X121
| hd(app(X121,X122)) = hd(X121) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])]) ).
fof(c_0_91,plain,
! [X23,X24] :
( ( nil = X24
| nil != app(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( nil = X23
| nil != app(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( nil != X24
| nil != X23
| nil = app(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) ) ),
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_92,negated_conjecture,
app(esk17_2(esk4_0,nil),nil) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_87]),c_0_42]),c_0_49])]) ).
cnf(c_0_93,negated_conjecture,
ssList(esk17_2(esk4_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_87]),c_0_42]),c_0_49])]) ).
cnf(c_0_94,negated_conjecture,
( nil != esk2_0
| nil != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_95,plain,
! [X83,X84,X85,X86] :
( ( X85 = X86
| cons(X85,X83) != cons(X86,X84)
| ~ ssItem(X86)
| ~ ssItem(X85)
| ~ ssList(X84)
| ~ ssList(X83) )
& ( X84 = X83
| cons(X85,X83) != cons(X86,X84)
| ~ ssItem(X86)
| ~ ssItem(X85)
| ~ ssList(X84)
| ~ ssList(X83) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])])]) ).
fof(c_0_96,plain,
! [X13] :
( ( ssList(esk5_1(X13))
| nil = X13
| ~ ssList(X13) )
& ( ssItem(esk6_1(X13))
| nil = X13
| ~ ssList(X13) )
& ( cons(esk6_1(X13),esk5_1(X13)) = X13
| nil = X13
| ~ ssList(X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])])]) ).
fof(c_0_97,plain,
! [X79,X80] :
( ~ ssList(X79)
| ~ ssItem(X80)
| ssList(cons(X80,X79)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).
fof(c_0_98,plain,
! [X16,X17] :
( ~ ssList(X16)
| ~ ssItem(X17)
| nil != cons(X17,X16) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])]) ).
cnf(c_0_99,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_100,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_101,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_102,negated_conjecture,
esk17_2(esk4_0,nil) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_92]),c_0_93])]) ).
cnf(c_0_103,negated_conjecture,
( esk3_0 != nil
| esk4_0 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_30]),c_0_31]) ).
cnf(c_0_104,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_105,plain,
( cons(esk6_1(X1),esk5_1(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_106,plain,
( ssItem(esk6_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_107,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_108,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_109,plain,
( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_65]),c_0_101]) ).
cnf(c_0_110,negated_conjecture,
app(esk4_0,nil) = esk4_0,
inference(rw,[status(thm)],[c_0_92,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
esk4_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_44])]) ).
cnf(c_0_112,plain,
( esk5_1(cons(X1,X2)) = X2
| ~ ssList(esk5_1(cons(X1,X2)))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105])]),c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_113,negated_conjecture,
cons(hd(esk4_0),tl(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_42]),c_0_49])]),c_0_111]) ).
fof(c_0_114,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax24]) ).
cnf(c_0_115,negated_conjecture,
( esk5_1(esk4_0) = tl(esk4_0)
| ~ ssList(esk5_1(esk4_0))
| ~ ssList(tl(esk4_0))
| ~ ssItem(hd(esk4_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_116,plain,
( ssList(esk5_1(X1))
| nil = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_117,plain,
! [X158] :
( ~ ssList(X158)
| nil = X158
| ssList(tl(X158)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).
fof(c_0_118,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax22]) ).
cnf(c_0_119,negated_conjecture,
( esk5_1(esk4_0) = tl(esk4_0)
| ~ ssList(tl(esk4_0))
| ~ ssItem(hd(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_49])]),c_0_111]) ).
cnf(c_0_120,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
fof(c_0_121,plain,
! [X151] :
( ~ ssList(X151)
| nil = X151
| ssItem(hd(X151)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])]) ).
cnf(c_0_122,negated_conjecture,
( esk5_1(esk4_0) = tl(esk4_0)
| ~ ssItem(hd(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_49])]),c_0_111]) ).
cnf(c_0_123,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
fof(c_0_124,plain,
! [X101,X102] :
( ~ ssList(X101)
| ~ ssItem(X102)
| hd(cons(X102,X101)) = X102 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).
cnf(c_0_125,negated_conjecture,
esk5_1(esk4_0) = tl(esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_49])]),c_0_111]) ).
fof(c_0_126,plain,
! [X71,X72,X73,X74] :
( ( X71 = X72
| ~ frontsegP(cons(X71,X73),cons(X72,X74))
| ~ ssList(X74)
| ~ ssList(X73)
| ~ ssItem(X72)
| ~ ssItem(X71) )
& ( frontsegP(X73,X74)
| ~ frontsegP(cons(X71,X73),cons(X72,X74))
| ~ ssList(X74)
| ~ ssList(X73)
| ~ ssItem(X72)
| ~ ssItem(X71) )
& ( X71 != X72
| ~ frontsegP(X73,X74)
| frontsegP(cons(X71,X73),cons(X72,X74))
| ~ ssList(X74)
| ~ ssList(X73)
| ~ ssItem(X72)
| ~ ssItem(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])])]) ).
cnf(c_0_127,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_128,negated_conjecture,
cons(esk6_1(esk4_0),tl(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_125]),c_0_49])]),c_0_111]) ).
cnf(c_0_129,negated_conjecture,
ssList(tl(esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_125]),c_0_49])]),c_0_111]) ).
cnf(c_0_130,plain,
( frontsegP(cons(X1,X3),cons(X2,X4))
| X1 != X2
| ~ frontsegP(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
fof(c_0_131,plain,
! [X19] :
( ~ ssList(X19)
| frontsegP(X19,nil) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])])]) ).
cnf(c_0_132,negated_conjecture,
( esk6_1(esk4_0) = hd(esk4_0)
| ~ ssItem(esk6_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
fof(c_0_133,plain,
! [X56] :
( ~ ssList(X56)
| segmentP(X56,nil) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])])]) ).
cnf(c_0_134,plain,
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_130]) ).
cnf(c_0_135,plain,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_136,negated_conjecture,
esk6_1(esk4_0) = hd(esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_106]),c_0_49])]),c_0_111]) ).
cnf(c_0_137,negated_conjecture,
( ~ ssList(X1)
| ~ neq(esk3_0,X1)
| ~ frontsegP(esk4_0,X1)
| ~ segmentP(X1,esk3_0)
| ~ strictorderedP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_138,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_139,plain,
( frontsegP(cons(X1,X2),cons(X1,nil))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_42])]) ).
cnf(c_0_140,negated_conjecture,
ssItem(hd(esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_136]),c_0_49])]),c_0_111]) ).
cnf(c_0_141,negated_conjecture,
( ~ strictorderedP(X1)
| ~ frontsegP(esk4_0,X1)
| ~ ssList(X1)
| ~ neq(nil,X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_44]),c_0_44]),c_0_138]) ).
cnf(c_0_142,negated_conjecture,
frontsegP(esk4_0,cons(hd(esk4_0),nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_113]),c_0_129]),c_0_140])]) ).
cnf(c_0_143,negated_conjecture,
( ~ strictorderedP(cons(hd(esk4_0),nil))
| ~ ssList(cons(hd(esk4_0),nil))
| ~ neq(nil,cons(hd(esk4_0),nil)) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
fof(c_0_144,plain,
! [X37] :
( ~ ssItem(X37)
| strictorderedP(cons(X37,nil)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])])]) ).
cnf(c_0_145,negated_conjecture,
( ~ strictorderedP(cons(hd(esk4_0),nil))
| ~ neq(nil,cons(hd(esk4_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_107]),c_0_42]),c_0_140])]) ).
cnf(c_0_146,plain,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
fof(c_0_147,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) != X1 ) ),
inference(fof_simplification,[status(thm)],[ax18]) ).
cnf(c_0_148,negated_conjecture,
~ neq(nil,cons(hd(esk4_0),nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_140])]) ).
fof(c_0_149,plain,
! [X81,X82] :
( ~ ssList(X81)
| ~ ssItem(X82)
| cons(X82,X81) != X81 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])])]) ).
cnf(c_0_150,negated_conjecture,
( cons(hd(esk4_0),nil) = nil
| ~ ssList(cons(hd(esk4_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_41]),c_0_42])]) ).
cnf(c_0_151,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_152,negated_conjecture,
cons(hd(esk4_0),nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_107]),c_0_42]),c_0_140])]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_42]),c_0_140])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC021+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.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 03:22:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.56/0.70 # Version: 3.1.0
% 1.56/0.70 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.56/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.70 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.56/0.70 # Starting new_bool_3 with 300s (1) cores
% 1.56/0.70 # Starting new_bool_1 with 300s (1) cores
% 1.56/0.70 # Starting sh5l with 300s (1) cores
% 1.56/0.70 # sh5l with pid 13254 completed with status 0
% 1.56/0.70 # Result found by sh5l
% 1.56/0.70 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.56/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.70 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.56/0.70 # Starting new_bool_3 with 300s (1) cores
% 1.56/0.70 # Starting new_bool_1 with 300s (1) cores
% 1.56/0.70 # Starting sh5l with 300s (1) cores
% 1.56/0.70 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.56/0.70 # Search class: FGHSF-FSLM21-MFFFFFNN
% 1.56/0.70 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.56/0.70 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 1.56/0.70 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 13261 completed with status 0
% 1.56/0.70 # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 1.56/0.70 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.56/0.70 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.70 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.56/0.70 # Starting new_bool_3 with 300s (1) cores
% 1.56/0.70 # Starting new_bool_1 with 300s (1) cores
% 1.56/0.70 # Starting sh5l with 300s (1) cores
% 1.56/0.70 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.56/0.70 # Search class: FGHSF-FSLM21-MFFFFFNN
% 1.56/0.70 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.56/0.70 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 1.56/0.70 # Preprocessing time : 0.003 s
% 1.56/0.70 # Presaturation interreduction done
% 1.56/0.70
% 1.56/0.70 # Proof found!
% 1.56/0.70 # SZS status Theorem
% 1.56/0.70 # SZS output start CNFRefutation
% See solution above
% 1.56/0.70 # Parsed axioms : 96
% 1.56/0.70 # Removed by relevancy pruning/SinE : 12
% 1.56/0.70 # Initial clauses : 167
% 1.56/0.70 # Removed in clause preprocessing : 2
% 1.56/0.70 # Initial clauses in saturation : 165
% 1.56/0.70 # Processed clauses : 1811
% 1.56/0.70 # ...of these trivial : 33
% 1.56/0.70 # ...subsumed : 791
% 1.56/0.70 # ...remaining for further processing : 987
% 1.56/0.70 # Other redundant clauses eliminated : 72
% 1.56/0.70 # Clauses deleted for lack of memory : 0
% 1.56/0.70 # Backward-subsumed : 49
% 1.56/0.70 # Backward-rewritten : 67
% 1.56/0.70 # Generated clauses : 7310
% 1.56/0.70 # ...of the previous two non-redundant : 6181
% 1.56/0.70 # ...aggressively subsumed : 0
% 1.56/0.70 # Contextual simplify-reflections : 191
% 1.56/0.70 # Paramodulations : 7232
% 1.56/0.70 # Factorizations : 0
% 1.56/0.70 # NegExts : 0
% 1.56/0.70 # Equation resolutions : 79
% 1.56/0.70 # Disequality decompositions : 0
% 1.56/0.70 # Total rewrite steps : 7304
% 1.56/0.70 # ...of those cached : 7156
% 1.56/0.70 # Propositional unsat checks : 0
% 1.56/0.70 # Propositional check models : 0
% 1.56/0.70 # Propositional check unsatisfiable : 0
% 1.56/0.70 # Propositional clauses : 0
% 1.56/0.70 # Propositional clauses after purity: 0
% 1.56/0.70 # Propositional unsat core size : 0
% 1.56/0.70 # Propositional preprocessing time : 0.000
% 1.56/0.70 # Propositional encoding time : 0.000
% 1.56/0.70 # Propositional solver time : 0.000
% 1.56/0.70 # Success case prop preproc time : 0.000
% 1.56/0.70 # Success case prop encoding time : 0.000
% 1.56/0.70 # Success case prop solver time : 0.000
% 1.56/0.70 # Current number of processed clauses : 694
% 1.56/0.70 # Positive orientable unit clauses : 191
% 1.56/0.70 # Positive unorientable unit clauses: 0
% 1.56/0.70 # Negative unit clauses : 21
% 1.56/0.70 # Non-unit-clauses : 482
% 1.56/0.70 # Current number of unprocessed clauses: 4558
% 1.56/0.70 # ...number of literals in the above : 24500
% 1.56/0.70 # Current number of archived formulas : 0
% 1.56/0.70 # Current number of archived clauses : 275
% 1.56/0.70 # Clause-clause subsumption calls (NU) : 81682
% 1.56/0.70 # Rec. Clause-clause subsumption calls : 26373
% 1.56/0.70 # Non-unit clause-clause subsumptions : 845
% 1.56/0.70 # Unit Clause-clause subsumption calls : 3923
% 1.56/0.70 # Rewrite failures with RHS unbound : 0
% 1.56/0.70 # BW rewrite match attempts : 68
% 1.56/0.70 # BW rewrite match successes : 37
% 1.56/0.70 # Condensation attempts : 0
% 1.56/0.70 # Condensation successes : 0
% 1.56/0.70 # Termbank termtop insertions : 151430
% 1.56/0.70 # Search garbage collected termcells : 3695
% 1.56/0.70
% 1.56/0.70 # -------------------------------------------------
% 1.56/0.70 # User time : 0.181 s
% 1.56/0.70 # System time : 0.008 s
% 1.56/0.70 # Total time : 0.189 s
% 1.56/0.70 # Maximum resident set size: 2400 pages
% 1.56/0.70
% 1.56/0.70 # -------------------------------------------------
% 1.56/0.70 # User time : 0.181 s
% 1.56/0.70 # System time : 0.014 s
% 1.56/0.70 # Total time : 0.195 s
% 1.56/0.70 # Maximum resident set size: 1820 pages
% 1.56/0.70 % E---3.1 exiting
% 1.56/0.70 % E exiting
%------------------------------------------------------------------------------