%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC395+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Tue Jul 19 20:15:25 EDT 2022
% Result : Theorem 12.11s 2.94s
% Output : CNFRefutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 15
% Syntax : Number of formulae : 109 ( 17 unt; 0 def)
% Number of atoms : 432 ( 161 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 523 ( 200 ~; 242 |; 42 &)
% ( 4 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ~ ssItem(X5)
| ~ memberP(X1,X5)
| memberP(X2,X5) )
| ( nil != X3
& nil = X4 )
| ( ? [X6] :
( ssList(X6)
& X3 != X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X4) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X4) = X9
& neq(nil,X4) )
& neq(nil,X4) ) ) )
& neq(X4,nil) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
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(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
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(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
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(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(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ~ ssItem(X5)
| ~ memberP(X1,X5)
| memberP(X2,X5) )
| ( nil != X3
& nil = X4 )
| ( ? [X6] :
( ssList(X6)
& X3 != X6
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& tl(X4) = X7
& app(X7,X8) = X6
& ? [X9] :
( ssItem(X9)
& cons(X9,nil) = X8
& hd(X4) = X9
& neq(nil,X4) )
& neq(nil,X4) ) ) )
& neq(X4,nil) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_16,negated_conjecture,
! [X259,X260,X261,X262] :
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssItem(esk52_0)
& memberP(esk48_0,esk52_0)
& ~ memberP(esk49_0,esk52_0)
& ( nil = esk50_0
| nil != esk51_0 )
& ( ~ ssList(X259)
| esk50_0 = X259
| ~ ssList(X260)
| ~ ssList(X261)
| tl(esk51_0) != X260
| app(X260,X261) != X259
| ~ ssItem(X262)
| cons(X262,nil) != X261
| hd(esk51_0) != X262
| ~ neq(nil,esk51_0)
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil) ) ),
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_15])])])])]) ).
cnf(c_0_17,negated_conjecture,
( esk50_0 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| tl(esk51_0) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(esk51_0) != X4
| ~ neq(nil,esk51_0)
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_18,plain,
! [X133,X134] :
( ~ ssList(X133)
| ~ ssList(X134)
| ssList(app(X133,X134)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).
cnf(c_0_19,negated_conjecture,
( esk50_0 = X1
| hd(esk51_0) != X4
| tl(esk51_0) != X2
| app(X2,X3) != X1
| cons(X4,nil) != X3
| ~ ssItem(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil) ),
inference(cn,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X130] :
( ~ ssList(X130)
| nil = X130
| ssList(tl(X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).
cnf(c_0_22,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| ~ ssList(cons(hd(esk51_0),nil))
| ~ ssList(tl(esk51_0))
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil)
| ~ ssItem(hd(esk51_0)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])])])]),c_0_20]) ).
cnf(c_0_25,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X112,X113] :
( ( ~ neq(X112,X113)
| X112 != X113
| ~ ssList(X113)
| ~ ssList(X112) )
& ( X112 = X113
| neq(X112,X113)
| ~ ssList(X113)
| ~ ssList(X112) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).
cnf(c_0_28,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil))
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil)
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_31,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil))
| ~ neq(esk51_0,nil)
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26]),c_0_30])]) ).
fof(c_0_32,plain,
! [X127] :
( ~ ssList(X127)
| nil = X127
| ssItem(hd(X127)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
cnf(c_0_33,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil))
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_30]),c_0_26])]) ).
cnf(c_0_34,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X114,X115] :
( ~ ssList(X114)
| ~ ssItem(X115)
| ssList(cons(X115,X114)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(c_0_36,plain,
! [X216] :
( ~ ssList(X216)
| nil = X216
| cons(hd(X216),tl(X216)) = X216 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
fof(c_0_37,plain,
! [X233,X234] :
( ~ ssList(X233)
| ~ ssList(X234)
| nil = X233
| tl(app(X233,X234)) = app(tl(X233),X234) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).
fof(c_0_38,plain,
! [X228,X229] :
( ( nil = X229
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil = X228
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil != X229
| nil != X228
| nil = app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
cnf(c_0_39,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26])]) ).
cnf(c_0_40,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30])]) ).
cnf(c_0_45,plain,
( cons(hd(app(X1,X2)),app(tl(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_41,c_0_42]),c_0_20]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_34]),c_0_26])]) ).
cnf(c_0_47,negated_conjecture,
( cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil))
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26])]) ).
cnf(c_0_48,negated_conjecture,
( cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil))
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_30])]) ).
fof(c_0_49,plain,
! [X231,X232] :
( ~ ssList(X231)
| ~ ssList(X232)
| nil = X231
| hd(app(X231,X232)) = hd(X231) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).
cnf(c_0_50,negated_conjecture,
( cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil))
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_26])]) ).
cnf(c_0_51,plain,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_26])]) ).
cnf(c_0_53,negated_conjecture,
( app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40]),c_0_30])]) ).
cnf(c_0_54,negated_conjecture,
( app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_26])]) ).
cnf(c_0_55,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0))
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_54]),c_0_26])]) ).
cnf(c_0_56,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0))
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_30])]) ).
cnf(c_0_57,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_41,c_0_51]),c_0_20]),c_0_43]) ).
cnf(c_0_58,plain,
( nil = X1
| ssList(app(tl(X1),X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_42]),c_0_20]),c_0_43]) ).
cnf(c_0_59,negated_conjecture,
( app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0))
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_34]),c_0_26])]) ).
cnf(c_0_60,negated_conjecture,
( cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_54]),c_0_26])]) ).
cnf(c_0_61,negated_conjecture,
( esk51_0 = nil
| ssList(tl(cons(hd(esk51_0),esk50_0)))
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_26])]) ).
fof(c_0_62,plain,
! [X125,X126] :
( ~ ssList(X125)
| ~ ssItem(X126)
| nil != cons(X126,X125) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).
cnf(c_0_63,negated_conjecture,
( cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_40]),c_0_30])]) ).
cnf(c_0_64,negated_conjecture,
( esk51_0 = nil
| ssList(tl(cons(hd(esk51_0),esk50_0)))
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_40]),c_0_30])]) ).
cnf(c_0_65,negated_conjecture,
( hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0)
| esk51_0 = nil
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_54]),c_0_26])]) ).
cnf(c_0_66,negated_conjecture,
( esk51_0 = nil
| ssList(cons(hd(esk51_0),esk50_0))
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_54]),c_0_26])]) ).
fof(c_0_67,plain,
! [X157,X158,X159] :
( ( ~ memberP(cons(X158,X159),X157)
| X157 = X158
| memberP(X159,X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) )
& ( X157 != X158
| memberP(cons(X158,X159),X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) )
& ( ~ memberP(X159,X157)
| memberP(cons(X158,X159),X157)
| ~ ssList(X159)
| ~ ssItem(X158)
| ~ ssItem(X157) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).
cnf(c_0_68,negated_conjecture,
memberP(esk48_0,esk52_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_69,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_70,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_71,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0)
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_34]),c_0_26])]) ).
cnf(c_0_73,negated_conjecture,
( esk51_0 = nil
| ssList(tl(cons(hd(esk51_0),esk50_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_34]),c_0_26])]) ).
cnf(c_0_74,negated_conjecture,
( hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0)
| esk51_0 = nil
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_30])]) ).
cnf(c_0_75,negated_conjecture,
( esk51_0 = nil
| ssList(cons(hd(esk51_0),esk50_0))
| ~ ssItem(hd(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_40]),c_0_30])]) ).
cnf(c_0_76,plain,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,negated_conjecture,
memberP(esk50_0,esk52_0),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_80,negated_conjecture,
( esk51_0 = nil
| cons(hd(esk51_0),esk50_0) != nil
| ~ ssItem(hd(esk51_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0)
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_34]),c_0_26])]) ).
cnf(c_0_82,negated_conjecture,
( esk51_0 = nil
| ssList(cons(hd(esk51_0),esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_34]),c_0_26])]) ).
cnf(c_0_83,negated_conjecture,
( memberP(cons(X1,esk50_0),esk52_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_84,negated_conjecture,
( esk51_0 = nil
| cons(hd(esk51_0),esk50_0) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_34]),c_0_26])]) ).
cnf(c_0_85,negated_conjecture,
( cons(hd(esk51_0),esk50_0) = nil
| esk51_0 = nil
| ssItem(hd(esk51_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_81]),c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( esk51_0 = nil
| memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0)
| ~ ssItem(hd(app(esk51_0,cons(hd(esk51_0),nil)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_50]) ).
cnf(c_0_87,negated_conjecture,
( esk51_0 = nil
| ssItem(hd(esk51_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_88,plain,
! [X154,X155,X156] :
( ( ~ memberP(app(X155,X156),X154)
| memberP(X155,X154)
| memberP(X156,X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) )
& ( ~ memberP(X155,X154)
| memberP(app(X155,X156),X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) )
& ( ~ memberP(X156,X154)
| memberP(app(X155,X156),X154)
| ~ ssList(X156)
| ~ ssList(X155)
| ~ ssItem(X154) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).
cnf(c_0_89,negated_conjecture,
( esk51_0 = nil
| memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0)
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_51]),c_0_26])]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
~ memberP(esk49_0,esk52_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_91,plain,
( memberP(X1,X3)
| memberP(X2,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( esk51_0 = nil
| memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_40]),c_0_30])]),c_0_87]) ).
cnf(c_0_93,negated_conjecture,
~ memberP(esk51_0,esk52_0),
inference(rw,[status(thm)],[c_0_90,c_0_23]) ).
cnf(c_0_94,plain,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_95,negated_conjecture,
( esk51_0 = nil
| memberP(cons(hd(esk51_0),nil),esk52_0)
| ~ ssList(cons(hd(esk51_0),nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_26]),c_0_79])]),c_0_93]) ).
cnf(c_0_96,plain,
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_97,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_98,negated_conjecture,
( esk51_0 = nil
| memberP(cons(hd(esk51_0),nil),esk52_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_40]),c_0_30])]),c_0_87]) ).
fof(c_0_99,plain,
! [X160] :
( ~ ssItem(X160)
| ~ memberP(nil,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).
cnf(c_0_100,plain,
( nil = X1
| memberP(X1,hd(X1))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_41]),c_0_34]),c_0_25]) ).
cnf(c_0_101,negated_conjecture,
( hd(esk51_0) = esk52_0
| esk51_0 = nil
| memberP(nil,esk52_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_30]),c_0_79])]),c_0_87]) ).
cnf(c_0_102,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_103,negated_conjecture,
( esk51_0 = nil
| memberP(nil,esk52_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_26])]),c_0_93]) ).
cnf(c_0_104,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_105,negated_conjecture,
esk51_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_79])]) ).
cnf(c_0_106,negated_conjecture,
esk50_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_107,negated_conjecture,
~ memberP(nil,esk52_0),
inference(rw,[status(thm)],[c_0_93,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_106]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC395+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 21:13:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.11/2.94 # ENIGMATIC: Solved by autoschedule:
% 12.11/2.94 # No SInE strategy applied
% 12.11/2.94 # Trying AutoSched0 for 150 seconds
% 12.11/2.94 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 12.11/2.94 # and selection function SelectNewComplexAHP.
% 12.11/2.94 #
% 12.11/2.94 # Preprocessing time : 0.035 s
% 12.11/2.94 # Presaturation interreduction done
% 12.11/2.94
% 12.11/2.94 # Proof found!
% 12.11/2.94 # SZS status Theorem
% 12.11/2.94 # SZS output start CNFRefutation
% See solution above
% 12.11/2.94 # Training examples: 0 positive, 0 negative
% 12.11/2.94
% 12.11/2.94 # -------------------------------------------------
% 12.11/2.94 # User time : 0.509 s
% 12.11/2.94 # System time : 0.019 s
% 12.11/2.94 # Total time : 0.527 s
% 12.11/2.94 # Maximum resident set size: 7116 pages
% 12.11/2.94
%------------------------------------------------------------------------------