TSTP Solution File: SWC197+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC197+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 20:14:14 EDT 2022
% Result : Theorem 9.37s 2.54s
% Output : CNFRefutation 9.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 121 ( 36 unt; 0 def)
% Number of atoms : 407 ( 92 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 482 ( 196 ~; 193 |; 34 &)
% ( 6 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 89 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1
| X5 = X6 ) ) ) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
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(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).
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(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( X1 = X2
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
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(ax57,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
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(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X2,X1) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1
| X5 = X6 ) ) ) ) ) )
| ( ~ singletonP(X3)
& neq(X4,nil) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_19,negated_conjecture,
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& segmentP(esk51_0,esk50_0)
& ssItem(esk52_0)
& ssItem(esk53_0)
& ssList(esk54_0)
& ssList(esk55_0)
& ssList(esk56_0)
& app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0
& esk52_0 != esk53_0
& ( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_20,negated_conjecture,
app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_21,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X225,X226,X227] :
( ~ ssList(X225)
| ~ ssList(X226)
| ~ ssList(X227)
| app(app(X225,X226),X227) = app(X225,app(X226,X227)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).
cnf(c_0_23,negated_conjecture,
app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk50_0,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_27,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])])]) ).
cnf(c_0_28,negated_conjecture,
( app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
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,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_32,plain,
! [X223,X224] :
( ~ ssList(X223)
| ~ ssItem(X224)
| cons(X224,X223) = app(cons(X224,nil),X223) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).
cnf(c_0_33,negated_conjecture,
app(app(app(esk54_0,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,nil)),esk55_0) = esk50_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_30]),c_0_31])]) ).
cnf(c_0_34,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,nil)),esk55_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_31])]) ).
cnf(c_0_36,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0) = esk50_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_24]),c_0_26])]) ).
cnf(c_0_37,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0) = esk50_0
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_30]),c_0_37])]) ).
cnf(c_0_39,negated_conjecture,
app(app(esk54_0,app(cons(esk52_0,esk56_0),cons(esk53_0,nil))),esk55_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_40,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_41,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_42,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)),esk55_0)) = esk50_0
| ~ ssList(app(cons(esk52_0,esk56_0),cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_39]),c_0_40]),c_0_26])]) ).
cnf(c_0_43,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)),esk55_0)) = esk50_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( app(esk54_0,app(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)),esk55_0)) = esk50_0
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_29]),c_0_30]),c_0_37])]) ).
fof(c_0_46,plain,
! [X135,X136,X137] :
( ~ ssList(X135)
| ~ ssList(X136)
| ~ ssItem(X137)
| cons(X137,app(X136,X135)) = app(cons(X137,X136),X135) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).
cnf(c_0_47,negated_conjecture,
app(esk54_0,app(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)),esk55_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_48,plain,
( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0)) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25]),c_0_31])]) ).
cnf(c_0_50,negated_conjecture,
app(esk54_0,app(cons(esk52_0,app(esk56_0,cons(esk53_0,nil))),esk55_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_29]),c_0_30]),c_0_37])]) ).
cnf(c_0_51,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0))) = esk50_0
| ~ ssList(app(esk56_0,cons(esk53_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_40]),c_0_31])]) ).
cnf(c_0_52,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,esk56_0)),app(cons(esk53_0,nil),esk55_0)) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,esk56_0)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_40])]) ).
cnf(c_0_53,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0))) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_43]),c_0_25])]) ).
cnf(c_0_54,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,esk56_0)),app(cons(esk53_0,nil),esk55_0)) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,esk56_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_29]),c_0_30]),c_0_37])]) ).
cnf(c_0_55,negated_conjecture,
app(esk54_0,cons(esk52_0,app(app(esk56_0,cons(esk53_0,nil)),esk55_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_30]),c_0_37])]) ).
fof(c_0_56,plain,
! [X14,X15,X18,X19] :
( ( ssList(esk3_2(X14,X15))
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( ssList(esk4_2(X14,X15))
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( app(esk3_2(X14,X15),cons(X15,esk4_2(X14,X15))) = X14
| ~ memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) )
& ( ~ ssList(X18)
| ~ ssList(X19)
| app(X18,cons(X15,X19)) != X14
| memberP(X14,X15)
| ~ ssItem(X15)
| ~ ssList(X14) ) ),
inference(distribute,[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_57,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,esk56_0)),app(cons(esk53_0,nil),esk55_0)) = esk50_0
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_26])]) ).
cnf(c_0_58,negated_conjecture,
( app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0)))) = esk50_0
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_24]),c_0_40]),c_0_25])]) ).
cnf(c_0_59,plain,
( memberP(X4,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,cons(X3,X2)) != X4
| ~ ssItem(X3)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
app(app(esk54_0,cons(esk52_0,esk56_0)),app(cons(esk53_0,nil),esk55_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_61,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_62,negated_conjecture,
app(esk54_0,cons(esk52_0,app(esk56_0,app(cons(esk53_0,nil),esk55_0)))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_29]),c_0_30]),c_0_37])]) ).
cnf(c_0_63,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
app(app(esk54_0,cons(esk52_0,esk56_0)),cons(esk53_0,esk55_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_34]),c_0_40]),c_0_37])]) ).
cnf(c_0_65,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_61,c_0_21]) ).
cnf(c_0_66,negated_conjecture,
app(esk54_0,cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0)))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_34]),c_0_40]),c_0_37])]) ).
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])])])]) ).
fof(c_0_68,plain,
! [X20,X22] :
( ( ssItem(esk5_1(X20))
| ~ singletonP(X20)
| ~ ssList(X20) )
& ( cons(esk5_1(X20),nil) = X20
| ~ singletonP(X20)
| ~ ssList(X20) )
& ( ~ ssItem(X22)
| cons(X22,nil) != X20
| singletonP(X20)
| ~ ssList(X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).
fof(c_0_69,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_70,negated_conjecture,
( memberP(esk50_0,esk53_0)
| ~ ssList(app(esk54_0,cons(esk52_0,esk56_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_40]),c_0_37])]) ).
cnf(c_0_71,negated_conjecture,
( memberP(esk50_0,esk52_0)
| ~ ssList(app(esk56_0,cons(esk53_0,esk55_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_66]),c_0_65]),c_0_26]),c_0_31])]) ).
fof(c_0_72,plain,
! [X193,X194,X195,X196] :
( ~ ssList(X193)
| ~ ssList(X194)
| ~ ssList(X195)
| ~ ssList(X196)
| ~ segmentP(X193,X194)
| segmentP(app(app(X195,X193),X196),X194) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).
fof(c_0_73,plain,
! [X197] :
( ~ ssList(X197)
| segmentP(X197,nil) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).
fof(c_0_74,plain,
! [X31,X32,X35,X36] :
( ( ssList(esk8_2(X31,X32))
| ~ segmentP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) )
& ( ssList(esk9_2(X31,X32))
| ~ segmentP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) )
& ( app(app(esk8_2(X31,X32),X32),esk9_2(X31,X32)) = X31
| ~ segmentP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) )
& ( ~ ssList(X35)
| ~ ssList(X36)
| app(app(X35,X32),X36) != X31
| segmentP(X31,X32)
| ~ ssList(X32)
| ~ ssList(X31) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).
cnf(c_0_75,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_76,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( memberP(esk50_0,esk53_0)
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_26])]) ).
fof(c_0_80,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_81,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_82,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_83,negated_conjecture,
( memberP(esk50_0,esk52_0)
| ~ ssList(cons(esk53_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_43]),c_0_25])]) ).
cnf(c_0_84,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_72]) ).
cnf(c_0_85,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_86,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_74]) ).
cnf(c_0_87,plain,
( esk5_1(X1) = X2
| ~ singletonP(X1)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_30])]),c_0_77]),c_0_78]) ).
cnf(c_0_88,negated_conjecture,
memberP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_89,negated_conjecture,
( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_90,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
memberP(esk50_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_29]),c_0_40]),c_0_37])]) ).
cnf(c_0_93,plain,
( segmentP(app(app(X1,X2),X3),nil)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_30])]) ).
cnf(c_0_94,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_86]) ).
fof(c_0_95,plain,
! [X190,X191] :
( ~ ssList(X190)
| ~ ssList(X191)
| ~ segmentP(X190,X191)
| ~ segmentP(X191,X190)
| X190 = X191 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).
cnf(c_0_96,negated_conjecture,
( esk5_1(esk50_0) = esk53_0
| ~ singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_65]),c_0_37])]) ).
cnf(c_0_97,negated_conjecture,
( esk51_0 = nil
| singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_30]),c_0_91])]) ).
cnf(c_0_98,negated_conjecture,
( esk5_1(esk50_0) = esk52_0
| ~ singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_92]),c_0_65]),c_0_31])]) ).
cnf(c_0_99,negated_conjecture,
( segmentP(esk50_0,nil)
| ~ ssList(cons(esk53_0,esk55_0))
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_64]),c_0_26])]) ).
cnf(c_0_100,negated_conjecture,
( segmentP(esk50_0,cons(esk52_0,esk56_0))
| ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_64]),c_0_65]),c_0_26])]) ).
cnf(c_0_101,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_103,negated_conjecture,
( esk5_1(esk50_0) = esk53_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( esk5_1(esk50_0) = esk52_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_98,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
esk52_0 != esk53_0,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_106,negated_conjecture,
( segmentP(esk50_0,nil)
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_29]),c_0_40]),c_0_37])]) ).
cnf(c_0_107,negated_conjecture,
( segmentP(esk50_0,cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_108,negated_conjecture,
( esk50_0 = esk51_0
| ~ segmentP(esk50_0,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_91]),c_0_65])]) ).
cnf(c_0_109,negated_conjecture,
esk51_0 = nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_110,negated_conjecture,
segmentP(esk50_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_29]),c_0_25]),c_0_31])]) ).
fof(c_0_111,plain,
! [X198] :
( ( ~ segmentP(nil,X198)
| nil = X198
| ~ ssList(X198) )
& ( nil != X198
| segmentP(nil,X198)
| ~ ssList(X198) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).
cnf(c_0_112,negated_conjecture,
segmentP(esk50_0,cons(esk52_0,esk56_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_29]),c_0_40]),c_0_37])]) ).
cnf(c_0_113,negated_conjecture,
esk50_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_109]),c_0_110])]) ).
cnf(c_0_114,plain,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_115,negated_conjecture,
segmentP(nil,cons(esk52_0,esk56_0)),
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
fof(c_0_116,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_117,negated_conjecture,
( cons(esk52_0,esk56_0) = nil
| ~ ssList(cons(esk52_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| nil != cons(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_119,negated_conjecture,
cons(esk52_0,esk56_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_29]),c_0_25]),c_0_31])]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_25]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC197+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 10:56:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.37/2.54 # ENIGMATIC: Solved by autoschedule:
% 9.37/2.54 # No SInE strategy applied
% 9.37/2.54 # Trying AutoSched0 for 150 seconds
% 9.37/2.54 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.37/2.54 # and selection function SelectNewComplexAHP.
% 9.37/2.54 #
% 9.37/2.54 # Preprocessing time : 0.036 s
% 9.37/2.54 # Presaturation interreduction done
% 9.37/2.54
% 9.37/2.54 # Proof found!
% 9.37/2.54 # SZS status Theorem
% 9.37/2.54 # SZS output start CNFRefutation
% See solution above
% 9.37/2.54 # Training examples: 0 positive, 0 negative
% 9.37/2.54
% 9.37/2.54 # -------------------------------------------------
% 9.37/2.54 # User time : 0.270 s
% 9.37/2.54 # System time : 0.009 s
% 9.37/2.54 # Total time : 0.279 s
% 9.37/2.54 # Maximum resident set size: 7124 pages
% 9.37/2.54
%------------------------------------------------------------------------------