%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWC197+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:45:21 PM UTC 2026
% Result : Theorem 1.48s 0.68s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 24
% Syntax : Number of formulae : 205 ( 41 unt; 0 def)
% Number of atoms : 655 ( 268 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 724 ( 274 ~; 320 |; 34 &)
% ( 7 <=>; 89 =>; 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 : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn 125 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( neq(X4,nil)
& ~ singletonP(X3) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( X5 = X6
| app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1 ) ) ) ) ) )
| ~ segmentP(X4,X3)
| X1 != X3
| X2 != X4 ) ) ) ) ),
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(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( app(X2,X3) = X1
& ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
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(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X1
& nil = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax4,axiom,
! [X1] :
( ssList(X1)
=> ( singletonP(X1)
<=> ? [X2] :
( cons(X2,nil) = X1
& ssItem(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ? [X4] :
( app(app(X3,X2),X4) = X1
& ssList(X4) )
& ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax53,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X2,X3)
& segmentP(X1,X2) )
=> segmentP(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(ax58,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( neq(X4,nil)
& ~ singletonP(X3) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( X5 = X6
| app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1 ) ) ) ) ) )
| ~ segmentP(X4,X3)
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( neq(X4,nil)
& ~ singletonP(X3) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( X5 = X6
| app(app(app(app(X7,cons(X5,nil)),X9),cons(X6,nil)),X8) != X1 ) ) ) ) ) )
| ~ segmentP(X4,X3)
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_26,negated_conjecture,
( ( ~ neq(esk51_0,nil)
| singletonP(esk50_0) )
& esk52_0 != esk53_0
& app(app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),cons(esk53_0,nil)),esk55_0) = esk48_0
& ssList(esk56_0)
& ssList(esk55_0)
& ssList(esk54_0)
& ssItem(esk53_0)
& ssItem(esk52_0)
& segmentP(esk51_0,esk50_0)
& esk48_0 = esk50_0
& esk49_0 = esk51_0
& ssList(esk51_0)
& ssList(esk50_0)
& ssList(esk49_0)
& ssList(esk48_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
cnf(c_0_27,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_26]) ).
cnf(c_0_28,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_29,plain,
! [X225,X226,X227] :
( app(app(X225,X226),X227) = app(X225,app(X226,X227))
| ~ ssList(X227)
| ~ ssList(X226)
| ~ ssList(X225) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).
cnf(c_0_30,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_27,c_0_28]) ).
cnf(c_0_31,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_34,plain,
! [X114,X115] :
( ssList(cons(X115,X114))
| ~ ssItem(X115)
| ~ ssList(X114) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| 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_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_36,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ssList(cons(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_38,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_39,plain,
! [X223,X224] :
( cons(X224,X223) = app(cons(X224,nil),X223)
| ~ ssItem(X224)
| ~ ssList(X223) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).
cnf(c_0_40,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_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_41,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| cons(X2,X1) = app(cons(X2,nil),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,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_40,c_0_41]),c_0_32]),c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,nil))
| 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(spm,[status(thm)],[c_0_42,c_0_31]),c_0_33])]) ).
cnf(c_0_44,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| 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_43,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_46,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_45,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_47,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_48,plain,
! [X133,X134] :
( ssList(app(X133,X134))
| ~ ssList(X134)
| ~ ssList(X133) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ ssList(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)))
| 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_31,c_0_46]),c_0_47]),c_0_33])]) ).
cnf(c_0_50,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,nil))
| app(esk54_0,app(app(cons(esk52_0,esk56_0),cons(esk53_0,nil)),esk55_0)) = esk50_0 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| 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_51,c_0_36]),c_0_37]),c_0_44])]) ).
fof(c_0_53,plain,
! [X135,X136,X137] :
( cons(X137,app(X136,X135)) = app(cons(X137,X136),X135)
| ~ ssItem(X137)
| ~ ssList(X136)
| ~ ssList(X135) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).
cnf(c_0_54,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_52,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_55,plain,
( ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| 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_54,c_0_55]),c_0_32]),c_0_38])]) ).
cnf(c_0_57,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_56,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_58,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,nil)))
| 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_57,c_0_55]),c_0_47]),c_0_38])]) ).
cnf(c_0_59,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,nil))
| app(esk54_0,app(cons(esk52_0,esk56_0),app(cons(esk53_0,nil),esk55_0))) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_47])]) ).
cnf(c_0_60,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| 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(spm,[status(thm)],[c_0_58,c_0_50]),c_0_32])]) ).
fof(c_0_61,plain,
! [X23,X24,X26] :
( ( ~ ssList(X23)
| ~ ssList(X24)
| frontsegP(X23,X24)
| app(X24,X26) != X23
| ~ ssList(X26) )
& ( ~ ssList(X23)
| ~ ssList(X24)
| ~ frontsegP(X23,X24)
| app(X24,esk6_2(X23,X24)) = X23 )
& ( ~ ssList(X23)
| ~ ssList(X24)
| ~ frontsegP(X23,X24)
| ssList(esk6_2(X23,X24)) ) ),
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_62,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| app(esk54_0,app(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_59,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_63,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_60,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_64,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| app(X2,X1) != X3
| ~ ssList(X1)
| frontsegP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,negated_conjecture,
app(esk54_0,app(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_62,c_0_36]),c_0_32]),c_0_38])]) ).
fof(c_0_66,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax85]) ).
cnf(c_0_67,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| 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_63,c_0_31]),c_0_47]),c_0_32])]) ).
cnf(c_0_68,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| frontsegP(app(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_64]),c_0_50]) ).
cnf(c_0_69,negated_conjecture,
app(esk54_0,app(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_65,c_0_41]),c_0_47]),c_0_44])]) ).
fof(c_0_70,plain,
! [X231,X232] :
( hd(app(X231,X232)) = hd(X231)
| nil = X231
| ~ ssList(X232)
| ~ ssList(X231) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
cnf(c_0_71,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_67,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_72,negated_conjecture,
( ~ ssList(app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)))
| frontsegP(esk50_0,esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_33])]) ).
cnf(c_0_73,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| hd(app(X1,X2)) = hd(X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_74,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_71,c_0_41]),c_0_47]),c_0_44])]) ).
fof(c_0_75,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[ax86]) ).
fof(c_0_76,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax24]) ).
cnf(c_0_77,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0))
| frontsegP(esk50_0,esk54_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_50]) ).
fof(c_0_78,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
inference(fof_simplification,[status(thm)],[ax15]) ).
cnf(c_0_79,negated_conjecture,
( ~ ssList(cons(esk52_0,app(esk56_0,cons(esk53_0,esk55_0))))
| esk54_0 = nil
| hd(esk54_0) = hd(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_33])]) ).
fof(c_0_80,plain,
! [X228,X229] :
( ( ~ ssList(X228)
| ~ ssList(X229)
| nil = app(X228,X229)
| nil != X228
| nil != X229 )
& ( ~ ssList(X228)
| ~ ssList(X229)
| nil != app(X228,X229)
| nil = X228 )
& ( ~ ssList(X228)
| ~ ssList(X229)
| nil != app(X228,X229)
| nil = X229 ) ),
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])])])])]) ).
fof(c_0_81,plain,
! [X233,X234] :
( tl(app(X233,X234)) = app(tl(X233),X234)
| nil = X233
| ~ ssList(X234)
| ~ ssList(X233) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).
fof(c_0_82,plain,
! [X130] :
( ssList(tl(X130))
| nil = X130
| ~ ssList(X130) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_83,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| frontsegP(esk50_0,esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_84,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_85,plain,
! [X131,X132] :
( tl(cons(X132,X131)) = X131
| ~ ssItem(X132)
| ~ ssList(X131) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])]) ).
fof(c_0_86,plain,
! [X20,X22] :
( ( ~ ssList(X20)
| singletonP(X20)
| cons(X22,nil) != X20
| ~ ssItem(X22) )
& ( ~ ssList(X20)
| ~ singletonP(X20)
| cons(esk5_1(X20),nil) = X20 )
& ( ~ ssList(X20)
| ~ singletonP(X20)
| ssItem(esk5_1(X20)) ) ),
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)],[ax4])])])])])]) ).
fof(c_0_87,plain,
! [X112,X113] :
( ( ~ ssList(X112)
| ~ ssList(X113)
| neq(X112,X113)
| X112 = X113 )
& ( ~ ssList(X112)
| ~ ssList(X113)
| X112 != X113
| ~ neq(X112,X113) ) ),
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_78])])])])]) ).
cnf(c_0_88,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_89,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_90,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
inference(fof_simplification,[status(thm)],[ax78]) ).
cnf(c_0_91,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| esk54_0 = nil
| hd(esk54_0) = hd(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_36]),c_0_38])]) ).
cnf(c_0_92,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_93,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| tl(app(X1,X2)) = app(tl(X1),X2)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_94,plain,
( ~ ssList(X1)
| ssList(tl(X1))
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_95,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| app(X1,esk6_2(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_96,negated_conjecture,
frontsegP(esk50_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_97,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_84,c_0_28]) ).
cnf(c_0_98,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ssList(esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_99,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| tl(cons(X2,X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_100,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| cons(esk5_1(X1),nil) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_101,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| ssItem(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,negated_conjecture,
( ~ neq(esk51_0,nil)
| singletonP(esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| neq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_104,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_105,plain,
! [X216] :
( cons(hd(X216),tl(X216)) = X216
| nil = X216
| ~ ssList(X216) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
cnf(c_0_106,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk54_0 = nil
| hd(esk54_0) = hd(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_32])]) ).
cnf(c_0_107,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| tl(app(X1,X2)) != nil
| nil = X1
| tl(X1) = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_108,negated_conjecture,
app(esk54_0,esk6_2(esk50_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_33])]) ).
cnf(c_0_109,negated_conjecture,
ssList(esk6_2(esk50_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_33]),c_0_97])]) ).
cnf(c_0_110,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| tl(X1) = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_37])]),c_0_101]) ).
cnf(c_0_111,negated_conjecture,
( singletonP(esk50_0)
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_37]),c_0_104])]) ).
fof(c_0_112,plain,
! [X220,X221,X222] :
( X222 = X220
| app(X221,X222) != app(X221,X220)
| ~ ssList(X222)
| ~ ssList(X221)
| ~ ssList(X220) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])]) ).
fof(c_0_113,plain,
! [X230] :
( app(X230,nil) = X230
| ~ ssList(X230) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).
cnf(c_0_114,plain,
( ~ ssList(X1)
| cons(hd(X1),tl(X1)) = X1
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_115,negated_conjecture,
( esk54_0 = nil
| hd(esk54_0) = hd(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_116,negated_conjecture,
( tl(esk50_0) != nil
| esk54_0 = nil
| tl(esk54_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_33])]) ).
cnf(c_0_117,negated_conjecture,
( esk51_0 = nil
| tl(esk50_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_97])]) ).
cnf(c_0_118,plain,
( app(X2,X3) != app(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| X3 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_119,plain,
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( esk54_0 = nil
| cons(hd(esk50_0),tl(esk54_0)) = esk54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_33])]) ).
cnf(c_0_121,negated_conjecture,
( esk54_0 = nil
| esk51_0 = nil
| tl(esk54_0) = nil ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_122,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != X2
| X1 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_37])]) ).
cnf(c_0_123,negated_conjecture,
( esk50_0 = nil
| esk51_0 = nil
| cons(hd(esk50_0),nil) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_117]),c_0_97])]) ).
cnf(c_0_124,negated_conjecture,
( esk54_0 = nil
| esk51_0 = nil
| cons(hd(esk50_0),nil) = esk54_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( esk50_0 != nil
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_108]),c_0_109]),c_0_33])]) ).
cnf(c_0_126,negated_conjecture,
( ~ ssList(app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)))
| esk54_0 != esk50_0
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_69]),c_0_33])]) ).
cnf(c_0_127,negated_conjecture,
( esk54_0 = esk50_0
| esk51_0 = nil
| esk54_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( ~ ssList(app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)))
| esk54_0 = nil
| esk51_0 = nil
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = nil ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_129,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| esk54_0 = nil
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = nil ),
inference(spm,[status(thm)],[c_0_128,c_0_50]) ).
cnf(c_0_130,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))
| app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_47])]) ).
cnf(c_0_131,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| esk54_0 = nil
| esk51_0 = nil
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_132,negated_conjecture,
( ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),esk56_0))
| app(app(app(esk54_0,cons(esk52_0,nil)),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_130,c_0_36]),c_0_37]),c_0_44])]) ).
cnf(c_0_133,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| ~ ssList(app(esk54_0,cons(esk52_0,esk56_0)))
| 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(spm,[status(thm)],[c_0_31,c_0_42]),c_0_47])]) ).
cnf(c_0_134,negated_conjecture,
( esk51_0 = nil
| esk54_0 = nil
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_135,negated_conjecture,
( ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_50]),c_0_32])]) ).
cnf(c_0_136,negated_conjecture,
( ~ ssList(app(esk54_0,cons(esk52_0,esk56_0)))
| 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_133,c_0_36]),c_0_37]),c_0_44])]) ).
fof(c_0_137,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[ax21]) ).
cnf(c_0_138,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0))
| esk54_0 = nil
| esk51_0 = nil
| cons(esk52_0,esk56_0) = nil ),
inference(spm,[status(thm)],[c_0_92,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| app(app(app(esk54_0,cons(esk52_0,nil)),esk56_0),app(cons(esk53_0,nil),esk55_0)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_50]),c_0_33])]) ).
cnf(c_0_140,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| 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(spm,[status(thm)],[c_0_136,c_0_50]),c_0_33])]) ).
fof(c_0_141,plain,
! [X125,X126] :
( nil != cons(X126,X125)
| ~ ssItem(X126)
| ~ ssList(X125) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])]) ).
cnf(c_0_142,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| esk51_0 = nil
| esk54_0 = nil
| cons(esk52_0,esk56_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_143,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),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_139,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_144,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_140,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_145,plain,
( nil != cons(X2,X1)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_146,negated_conjecture,
( esk54_0 = nil
| esk51_0 = nil
| cons(esk52_0,esk56_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_147,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),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_143,c_0_41]),c_0_47]),c_0_44])]) ).
cnf(c_0_148,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_144,c_0_41]),c_0_47]),c_0_44])]) ).
cnf(c_0_149,negated_conjecture,
( esk51_0 = nil
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_32]),c_0_38])]) ).
fof(c_0_150,plain,
! [X138] :
( app(nil,X138) = X138
| ~ ssList(X138) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).
cnf(c_0_151,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| app(app(esk54_0,app(cons(esk52_0,nil),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_147,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_152,negated_conjecture,
( esk51_0 = nil
| app(app(nil,cons(esk52_0,esk56_0)),cons(esk53_0,esk55_0)) = esk50_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,plain,
( ~ ssList(X1)
| app(nil,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_154,negated_conjecture,
app(app(esk54_0,app(cons(esk52_0,nil),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_151,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_155,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| esk51_0 = nil
| app(cons(esk52_0,esk56_0),cons(esk53_0,esk55_0)) = esk50_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
( esk51_0 = nil
| app(app(nil,app(cons(esk52_0,nil),esk56_0)),cons(esk53_0,esk55_0)) = esk50_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_149]) ).
cnf(c_0_157,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(nil,app(X1,X2)) = app(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_153]),c_0_37])]) ).
cnf(c_0_158,negated_conjecture,
( esk51_0 = nil
| app(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_155,c_0_36]),c_0_32]),c_0_38])]) ).
cnf(c_0_159,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| app(app(esk54_0,cons(esk52_0,nil)),app(esk56_0,cons(esk53_0,esk55_0))) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_147]),c_0_32])]) ).
cnf(c_0_160,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| esk51_0 = nil
| app(app(cons(esk52_0,nil),esk56_0),cons(esk53_0,esk55_0)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_32])]) ).
fof(c_0_161,plain,
! [X128,X129] :
( hd(cons(X129,X128)) = X129
| ~ ssItem(X129)
| ~ ssList(X128) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).
cnf(c_0_162,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| 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_55,c_0_158]),c_0_32]),c_0_38])]) ).
cnf(c_0_163,negated_conjecture,
( ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| app(app(esk54_0,cons(esk52_0,nil)),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_159,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_164,negated_conjecture,
( esk51_0 = nil
| app(app(cons(esk52_0,nil),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_160,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_165,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| hd(cons(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_166,negated_conjecture,
( esk51_0 = nil
| 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_162,c_0_36]),c_0_47]),c_0_44])]) ).
fof(c_0_167,plain,
! [X31,X32,X35,X36] :
( ( ~ ssList(X31)
| ~ ssList(X32)
| segmentP(X31,X32)
| app(app(X35,X32),X36) != X31
| ~ ssList(X36)
| ~ ssList(X35) )
& ( ~ ssList(X31)
| ~ ssList(X32)
| ~ segmentP(X31,X32)
| app(app(esk8_2(X31,X32),X32),esk9_2(X31,X32)) = X31 )
& ( ~ ssList(X31)
| ~ ssList(X32)
| ~ segmentP(X31,X32)
| ssList(esk9_2(X31,X32)) )
& ( ~ ssList(X31)
| ~ ssList(X32)
| ~ segmentP(X31,X32)
| ssList(esk8_2(X31,X32)) ) ),
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_168,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| app(app(esk54_0,cons(esk52_0,nil)),app(esk56_0,cons(esk53_0,esk55_0))) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_50]),c_0_33])]) ).
cnf(c_0_169,plain,
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(cons(X1,app(X2,X3)),X4) = app(cons(X1,X2),app(X3,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_36]) ).
cnf(c_0_170,negated_conjecture,
( esk51_0 = nil
| app(cons(esk52_0,app(nil,esk56_0)),cons(esk53_0,esk55_0)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_55]),c_0_37]),c_0_32]),c_0_38])]) ).
cnf(c_0_171,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| esk51_0 = nil
| hd(esk50_0) = esk52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_38])]) ).
cnf(c_0_172,plain,
( ~ ssList(X4)
| ~ ssList(X3)
| app(app(X1,X3),X2) != X4
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_173,negated_conjecture,
app(app(esk54_0,cons(esk52_0,nil)),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_168,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_174,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| app(cons(esk52_0,nil),app(esk56_0,cons(esk53_0,esk55_0))) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_32]),c_0_37]),c_0_38])]) ).
cnf(c_0_175,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| hd(esk50_0) = esk52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_50]),c_0_32])]) ).
cnf(c_0_176,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| esk50_0 != X1
| segmentP(X1,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_33])]) ).
cnf(c_0_177,negated_conjecture,
( esk51_0 = nil
| app(cons(esk52_0,nil),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_174,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_178,negated_conjecture,
( esk51_0 = nil
| hd(esk50_0) = esk52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_179,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| segmentP(esk50_0,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_176]),c_0_97])]) ).
cnf(c_0_180,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| cons(esk52_0,nil) != esk50_0
| esk51_0 = nil
| app(esk56_0,cons(esk53_0,esk55_0)) = nil ),
inference(spm,[status(thm)],[c_0_122,c_0_177]) ).
cnf(c_0_181,negated_conjecture,
( esk51_0 = nil
| esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
inference(spm,[status(thm)],[c_0_123,c_0_178]) ).
cnf(c_0_182,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| esk50_0 != nil
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_166]),c_0_38])]) ).
cnf(c_0_183,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| segmentP(esk50_0,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_184,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| esk51_0 = nil
| app(esk56_0,cons(esk53_0,esk55_0)) = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_97])]),c_0_182]) ).
fof(c_0_185,plain,
! [X187,X188,X189] :
( segmentP(X187,X189)
| ~ segmentP(X188,X189)
| ~ segmentP(X187,X188)
| ~ ssList(X189)
| ~ ssList(X188)
| ~ ssList(X187) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])])]) ).
cnf(c_0_186,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| segmentP(esk50_0,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_50]),c_0_32])]) ).
cnf(c_0_187,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| app(esk56_0,cons(esk53_0,esk55_0)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_50]),c_0_32])]) ).
cnf(c_0_188,plain,
( ~ segmentP(X2,X3)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_189,negated_conjecture,
segmentP(esk50_0,cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_190,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| nil != app(X2,X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_191,negated_conjecture,
( esk51_0 = nil
| app(esk56_0,cons(esk53_0,esk55_0)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_36]),c_0_47]),c_0_44])]) ).
cnf(c_0_192,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(cons(esk52_0,nil))
| ~ segmentP(X1,esk50_0)
| segmentP(X1,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_97])]) ).
cnf(c_0_193,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_194,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| esk51_0 = nil
| cons(esk53_0,esk55_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_32])]) ).
cnf(c_0_195,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| segmentP(esk51_0,cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_104])]) ).
cnf(c_0_196,negated_conjecture,
( esk51_0 = nil
| cons(esk53_0,esk55_0) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_36]),c_0_47]),c_0_44])]) ).
fof(c_0_197,plain,
! [X198] :
( ( ~ ssList(X198)
| segmentP(nil,X198)
| nil != X198 )
& ( ~ ssList(X198)
| nil = X198
| ~ segmentP(nil,X198) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])]) ).
cnf(c_0_198,negated_conjecture,
segmentP(esk51_0,cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_199,negated_conjecture,
esk51_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_196]),c_0_47]),c_0_44])]) ).
cnf(c_0_200,plain,
( ~ ssList(X1)
| ~ segmentP(nil,X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_201,negated_conjecture,
segmentP(nil,cons(esk52_0,nil)),
inference(rw,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| cons(esk52_0,nil) = nil ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_203,negated_conjecture,
cons(esk52_0,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_204,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_203]),c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC197+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:06:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 1.48/0.68 % Version: 3.5.1
% 1.48/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.68 % Starting new_bool_3 with 300s (1) cores
% 1.48/0.68 % Starting new_bool_1 with 300s (1) cores
% 1.48/0.68 % Starting sh5l with 300s (1) cores
% 1.48/0.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2828430 completed with status 0
% 1.48/0.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.48/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.48/0.68 % No SInE strategy applied
% 1.48/0.68 % Search class: FGHSF-FSLM21-MFFFFFNN
% 1.48/0.68 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.68 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.48/0.68 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 1.48/0.68 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 1.48/0.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 1.48/0.68 % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 2828438 completed with status 0
% 1.48/0.68 % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 1.48/0.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.48/0.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.48/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.48/0.68 % No SInE strategy applied
% 1.48/0.68 % Search class: FGHSF-FSLM21-MFFFFFNN
% 1.48/0.68 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.68 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.48/0.68 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 1.48/0.68 % Preprocessing time : 0.002 s
% 1.48/0.68
% 1.48/0.68 % Proof found!
% 1.48/0.68 % SZS status Theorem
% 1.48/0.68 % SZS output start CNFRefutation
% See solution above
% 1.48/0.68 % Parsed axioms : 96
% 1.48/0.68 % Removed by relevancy pruning/SinE : 0
% 1.48/0.68 % Initial clauses : 205
% 1.48/0.68 % Removed in clause preprocessing : 2
% 1.48/0.68 % Initial clauses in saturation : 203
% 1.48/0.68 % Processed clauses : 2131
% 1.48/0.68 % ...of these trivial : 174
% 1.48/0.68 % ...subsumed : 626
% 1.48/0.68 % ...remaining for further processing : 1331
% 1.48/0.68 % Other redundant clauses eliminated : 129
% 1.48/0.68 % Clauses deleted for lack of memory : 0
% 1.48/0.68 % Backward-subsumed : 210
% 1.48/0.68 % Backward-rewritten : 760
% 1.48/0.68 % Generated clauses : 14159
% 1.48/0.68 % ...of the previous two non-redundant : 13582
% 1.48/0.68 % ...aggressively subsumed : 0
% 1.48/0.68 % Contextual simplify-reflections : 125
% 1.48/0.68 % Paramodulations : 13973
% 1.48/0.68 % Factorizations : 1
% 1.48/0.68 % NegExts : 0
% 1.48/0.68 % Equation resolutions : 185
% 1.48/0.68 % Disequality decompositions : 0
% 1.48/0.68 % Total rewrite steps : 12232
% 1.48/0.68 % ...of those cached : 12081
% 1.48/0.68 % Propositional unsat checks : 0
% 1.48/0.68 % Propositional check models : 0
% 1.48/0.68 % Propositional check unsatisfiable : 0
% 1.48/0.68 % Propositional clauses : 0
% 1.48/0.68 % Propositional clauses after purity: 0
% 1.48/0.68 % Propositional unsat core size : 0
% 1.48/0.68 % Propositional preprocessing time : 0.000
% 1.48/0.68 % Propositional encoding time : 0.000
% 1.48/0.68 % Propositional solver time : 0.000
% 1.48/0.68 % Success case prop preproc time : 0.000
% 1.48/0.68 % Success case prop encoding time : 0.000
% 1.48/0.68 % Success case prop solver time : 0.000
% 1.48/0.68 % Current number of processed clauses : 355
% 1.48/0.68 % Positive orientable unit clauses : 55
% 1.48/0.68 % Positive unorientable unit clauses: 0
% 1.48/0.68 % Negative unit clauses : 4
% 1.48/0.68 % Non-unit-clauses : 296
% 1.48/0.68 % Current number of unprocessed clauses: 11538
% 1.48/0.68 % ...number of literals in the above : 61675
% 1.48/0.68 % Current number of archived formulas : 0
% 1.48/0.68 % Current number of archived clauses : 970
% 1.48/0.68 % Clause-clause subsumption calls (NU) : 133939
% 1.48/0.68 % Rec. Clause-clause subsumption calls : 68606
% 1.48/0.68 % Non-unit clause-clause subsumptions : 960
% 1.48/0.68 % Unit Clause-clause subsumption calls : 1884
% 1.48/0.68 % Rewrite failures with RHS unbound : 0
% 1.48/0.68 % BW rewrite match attempts : 373
% 1.48/0.68 % BW rewrite match successes : 98
% 1.48/0.68 % Condensation attempts : 0
% 1.48/0.68 % Condensation successes : 0
% 1.48/0.68 % Termbank termtop insertions : 360948
% 1.48/0.68 % Search garbage collected termcells : 4326
% 1.48/0.68
% 1.48/0.68 % -------------------------------------------------
% 1.48/0.68 % User time : 0.231 s
% 1.48/0.68 % System time : 0.015 s
% 1.48/0.68 % Total time : 0.246 s
% 1.48/0.68 % Maximum resident set size: 4276 pages
% 1.48/0.68
% 1.48/0.68 % -------------------------------------------------
% 1.48/0.68 % User time : 0.909 s
% 1.48/0.68 % System time : 0.048 s
% 1.48/0.68 % Total time : 0.956 s
% 1.48/0.68 % Maximum resident set size: 4864 pages
% 1.48/0.68 % E exiting
%------------------------------------------------------------------------------