%------------------------------------------------------------------------------
% File : E---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 : n026.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 02:43:25 PM UTC 2026
% Result : Theorem 5.14s 1.30s
% Output : CNFRefutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 18
% Syntax : Number of formulae : 125 ( 36 unt; 0 def)
% Number of atoms : 432 ( 98 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 512 ( 205 ~; 198 |; 35 &)
% ( 7 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 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 : 157 ( 0 sgn 103 !; 5 ?)
% 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(ax3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ? [X4] :
( app(X3,cons(X2,X4)) = X1
& ssList(X4) )
& ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(ax37,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(cons(X2,X3),X1)
<=> ( memberP(X3,X1)
| X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
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(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
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] :
( ? [X4] :
( app(app(X3,X2),X4) = X1
& ssList(X4) )
& ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax54,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X2,X1)
& segmentP(X1,X2) )
=> 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)
=> ( ( 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_19,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_18]) ).
fof(c_0_20,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_19])])])]) ).
cnf(c_0_21,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_20]) ).
cnf(c_0_22,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,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_24,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_21,c_0_22]) ).
cnf(c_0_25,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,negated_conjecture,
ssList(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_28,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_29,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_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_30,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ssList(cons(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_32,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_33,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_34,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_29,c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_35,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| cons(X2,X1) = app(cons(X2,nil),X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,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_34,c_0_35]),c_0_26]),c_0_32])]) ).
cnf(c_0_37,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_36,c_0_25]),c_0_27])]) ).
cnf(c_0_38,negated_conjecture,
ssItem(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,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_37,c_0_30]),c_0_31]),c_0_38])]) ).
cnf(c_0_40,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_39,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_41,negated_conjecture,
ssList(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_42,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_43,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_25,c_0_40]),c_0_41]),c_0_27])]) ).
cnf(c_0_44,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_45,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_43,c_0_44]) ).
cnf(c_0_46,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_45,c_0_30]),c_0_31]),c_0_38])]) ).
fof(c_0_47,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_48,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_46,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_49,plain,
( ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,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_48,c_0_49]),c_0_26]),c_0_32])]) ).
cnf(c_0_51,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_50,c_0_30]),c_0_31]),c_0_38])]) ).
cnf(c_0_52,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_51,c_0_49]),c_0_41]),c_0_32])]) ).
cnf(c_0_53,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_25,c_0_36]),c_0_41])]) ).
cnf(c_0_54,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_52,c_0_44]),c_0_26])]) ).
cnf(c_0_55,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_53,c_0_30]),c_0_31]),c_0_38])]) ).
cnf(c_0_56,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_54,c_0_30]),c_0_31]),c_0_38])]) ).
fof(c_0_57,plain,
! [X14,X15,X18,X19] :
( ( ~ ssList(X14)
| ~ ssItem(X15)
| memberP(X14,X15)
| app(X18,cons(X15,X19)) != X14
| ~ ssList(X19)
| ~ ssList(X18) )
& ( ~ ssList(X14)
| ~ ssItem(X15)
| ~ memberP(X14,X15)
| app(esk3_2(X14,X15),cons(X15,esk4_2(X14,X15))) = X14 )
& ( ~ ssList(X14)
| ~ ssItem(X15)
| ~ memberP(X14,X15)
| ssList(esk4_2(X14,X15)) )
& ( ~ ssList(X14)
| ~ ssItem(X15)
| ~ memberP(X14,X15)
| ssList(esk3_2(X14,X15)) ) ),
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)],[ax3])])])])])]) ).
cnf(c_0_58,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_55,c_0_44]),c_0_27])]) ).
cnf(c_0_59,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_56,c_0_25]),c_0_41]),c_0_26])]) ).
cnf(c_0_60,plain,
( ~ ssList(X4)
| ~ ssItem(X3)
| app(X1,cons(X3,X2)) != X4
| ~ ssList(X2)
| ~ ssList(X1)
| memberP(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_61,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_58,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_62,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_63,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_59,c_0_30]),c_0_31]),c_0_38])]) ).
fof(c_0_64,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
cnf(c_0_65,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X3)))
| memberP(app(X1,cons(X2,X3)),X2) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_66,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_61,c_0_35]),c_0_41]),c_0_38])]) ).
cnf(c_0_67,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_62,c_0_22]) ).
cnf(c_0_68,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_63,c_0_35]),c_0_41]),c_0_38])]) ).
fof(c_0_69,plain,
! [X157,X158,X159] :
( ( ~ ssItem(X157)
| ~ ssItem(X158)
| ~ ssList(X159)
| memberP(cons(X158,X159),X157)
| ~ memberP(X159,X157) )
& ( ~ ssItem(X157)
| ~ ssItem(X158)
| ~ ssList(X159)
| memberP(cons(X158,X159),X157)
| X157 != X158 )
& ( ~ ssItem(X157)
| ~ ssItem(X158)
| ~ ssList(X159)
| memberP(X159,X157)
| X157 = X158
| ~ memberP(cons(X158,X159),X157) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])])]) ).
fof(c_0_70,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_71,plain,
! [X160] :
( ~ memberP(nil,X160)
| ~ ssItem(X160) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_72,negated_conjecture,
( ~ ssList(app(esk54_0,cons(esk52_0,esk56_0)))
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_41]),c_0_38])]) ).
fof(c_0_73,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
inference(fof_simplification,[status(thm)],[ax15]) ).
cnf(c_0_74,negated_conjecture,
( ~ ssList(app(esk56_0,cons(esk53_0,esk55_0)))
| memberP(esk50_0,esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_67]),c_0_27]),c_0_32])]) ).
fof(c_0_75,plain,
! [X193,X194,X195,X196] :
( segmentP(app(app(X195,X193),X196),X194)
| ~ segmentP(X193,X194)
| ~ ssList(X196)
| ~ ssList(X195)
| ~ ssList(X194)
| ~ ssList(X193) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])])]) ).
fof(c_0_76,plain,
! [X197] :
( segmentP(X197,nil)
| ~ ssList(X197) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])])]) ).
fof(c_0_77,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_78,plain,
( ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X3)
| memberP(X2,X3)
| X3 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| cons(esk5_1(X1),nil) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,plain,
( ~ ssList(X1)
| ~ singletonP(X1)
| ssItem(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_81,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_82,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_44]),c_0_27])]) ).
fof(c_0_83,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_73])])])])]) ).
cnf(c_0_84,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_85,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_86,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| memberP(esk50_0,esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_44]),c_0_26])]) ).
cnf(c_0_87,plain,
( ~ segmentP(X1,X2)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(app(X3,X1),X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_88,plain,
( ~ ssList(X1)
| segmentP(X1,nil) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_89,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_77]) ).
cnf(c_0_90,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ singletonP(X1)
| esk5_1(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_31])]),c_0_80]),c_0_81]) ).
cnf(c_0_91,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_82,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_92,negated_conjecture,
( ~ neq(esk51_0,nil)
| singletonP(esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_93,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| neq(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,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_86,c_0_30]),c_0_41]),c_0_38])]) ).
cnf(c_0_96,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(app(app(X1,X2),X3),nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_31])]) ).
cnf(c_0_97,plain,
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X3))
| segmentP(app(app(X1,X2),X3),X2) ),
inference(er,[status(thm)],[c_0_89]) ).
fof(c_0_98,plain,
! [X190,X191] :
( X190 = X191
| ~ segmentP(X191,X190)
| ~ segmentP(X190,X191)
| ~ ssList(X191)
| ~ ssList(X190) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])])]) ).
cnf(c_0_99,negated_conjecture,
( ~ singletonP(esk50_0)
| esk5_1(esk50_0) = esk53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_67]),c_0_38])]) ).
cnf(c_0_100,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_92,c_0_93]),c_0_31]),c_0_94])]) ).
cnf(c_0_101,negated_conjecture,
( ~ singletonP(esk50_0)
| esk5_1(esk50_0) = esk52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_95]),c_0_67]),c_0_32])]) ).
cnf(c_0_102,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| ~ ssList(cons(esk53_0,esk55_0))
| segmentP(esk50_0,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_66]),c_0_27])]) ).
cnf(c_0_103,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| ~ ssList(cons(esk52_0,esk56_0))
| 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_97,c_0_66]),c_0_67]),c_0_27])]) ).
cnf(c_0_104,plain,
( ~ segmentP(X2,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,negated_conjecture,
segmentP(esk51_0,esk50_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_106,negated_conjecture,
( esk51_0 = nil
| esk5_1(esk50_0) = esk53_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( esk51_0 = nil
| esk5_1(esk50_0) = esk52_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
esk52_0 != esk53_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_109,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| segmentP(esk50_0,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_30]),c_0_41]),c_0_38])]) ).
cnf(c_0_110,negated_conjecture,
( ~ ssList(cons(esk53_0,esk55_0))
| 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_103,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_111,negated_conjecture,
( ~ segmentP(esk50_0,esk51_0)
| esk50_0 = esk51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_94]),c_0_67])]) ).
cnf(c_0_112,negated_conjecture,
esk51_0 = nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_113,negated_conjecture,
segmentP(esk50_0,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_30]),c_0_26]),c_0_32])]) ).
fof(c_0_114,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_115,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_110,c_0_30]),c_0_41]),c_0_38])]) ).
cnf(c_0_116,negated_conjecture,
esk50_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_112]),c_0_113])]) ).
fof(c_0_117,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[ax21]) ).
cnf(c_0_118,plain,
( ~ ssList(X1)
| ~ segmentP(nil,X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_119,negated_conjecture,
segmentP(nil,cons(esk52_0,esk56_0)),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
fof(c_0_120,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_117])])])]) ).
cnf(c_0_121,negated_conjecture,
( ~ ssList(cons(esk52_0,esk56_0))
| cons(esk52_0,esk56_0) = nil ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
( nil != cons(X2,X1)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_123,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_121,c_0_30]),c_0_26]),c_0_32])]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_26]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC197+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n026.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 08:06:09 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 5.14/1.30 % Version: 3.5.1
% 5.14/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.14/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.14/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.14/1.30 % Starting new_bool_3 with 300s (1) cores
% 5.14/1.30 % Starting new_bool_1 with 300s (1) cores
% 5.14/1.30 % Starting sh5l with 300s (1) cores
% 5.14/1.30 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1796879 completed with status 0
% 5.14/1.30 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.14/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.14/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.14/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.14/1.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.14/1.30 % No SInE strategy applied
% 5.14/1.30 % Search class: FGHSF-FSLM21-MFFFFFNN
% 5.14/1.30 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.14/1.30 % Starting SubtermCWHack with 136s (1) cores
% 5.14/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.14/1.30 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 5.14/1.30 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 5.14/1.30 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 5.14/1.30 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1796887 completed with status 0
% 5.14/1.30 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.14/1.30 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.14/1.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.14/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.14/1.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.14/1.30 % No SInE strategy applied
% 5.14/1.30 % Search class: FGHSF-FSLM21-MFFFFFNN
% 5.14/1.30 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.14/1.30 % Starting SubtermCWHack with 136s (1) cores
% 5.14/1.30 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.14/1.30 % Preprocessing time : 0.004 s
% 5.14/1.30 % Presaturation interreduction done
% 5.14/1.30
% 5.14/1.30 % Proof found!
% 5.14/1.30 % SZS status Theorem
% 5.14/1.30 % SZS output start CNFRefutation
% See solution above
% 5.14/1.31 % Parsed axioms : 96
% 5.14/1.31 % Removed by relevancy pruning/SinE : 0
% 5.14/1.31 % Initial clauses : 205
% 5.14/1.31 % Removed in clause preprocessing : 2
% 5.14/1.31 % Initial clauses in saturation : 203
% 5.14/1.31 % Processed clauses : 2676
% 5.14/1.31 % ...of these trivial : 58
% 5.14/1.31 % ...subsumed : 1292
% 5.14/1.31 % ...remaining for further processing : 1326
% 5.14/1.31 % Other redundant clauses eliminated : 119
% 5.14/1.31 % Clauses deleted for lack of memory : 0
% 5.14/1.31 % Backward-subsumed : 175
% 5.14/1.31 % Backward-rewritten : 517
% 5.14/1.31 % Generated clauses : 9199
% 5.14/1.31 % ...of the previous two non-redundant : 8873
% 5.14/1.31 % ...aggressively subsumed : 0
% 5.14/1.31 % Contextual simplify-reflections : 293
% 5.14/1.31 % Paramodulations : 9074
% 5.14/1.31 % Factorizations : 0
% 5.14/1.31 % NegExts : 0
% 5.14/1.31 % Equation resolutions : 127
% 5.14/1.31 % Disequality decompositions : 0
% 5.14/1.31 % Total rewrite steps : 7407
% 5.14/1.31 % ...of those cached : 7320
% 5.14/1.31 % Propositional unsat checks : 0
% 5.14/1.31 % Propositional check models : 0
% 5.14/1.31 % Propositional check unsatisfiable : 0
% 5.14/1.31 % Propositional clauses : 0
% 5.14/1.31 % Propositional clauses after purity: 0
% 5.14/1.31 % Propositional unsat core size : 0
% 5.14/1.31 % Propositional preprocessing time : 0.000
% 5.14/1.31 % Propositional encoding time : 0.000
% 5.14/1.31 % Propositional solver time : 0.000
% 5.14/1.31 % Success case prop preproc time : 0.000
% 5.14/1.31 % Success case prop encoding time : 0.000
% 5.14/1.31 % Success case prop solver time : 0.000
% 5.14/1.31 % Current number of processed clauses : 414
% 5.14/1.31 % Positive orientable unit clauses : 44
% 5.14/1.31 % Positive unorientable unit clauses: 0
% 5.14/1.31 % Negative unit clauses : 4
% 5.14/1.31 % Non-unit-clauses : 366
% 5.14/1.31 % Current number of unprocessed clauses: 6431
% 5.14/1.31 % ...number of literals in the above : 34360
% 5.14/1.31 % Current number of archived formulas : 0
% 5.14/1.31 % Current number of archived clauses : 889
% 5.14/1.31 % Clause-clause subsumption calls (NU) : 130286
% 5.14/1.31 % Rec. Clause-clause subsumption calls : 55442
% 5.14/1.31 % Non-unit clause-clause subsumptions : 1575
% 5.14/1.31 % Unit Clause-clause subsumption calls : 1697
% 5.14/1.31 % Rewrite failures with RHS unbound : 0
% 5.14/1.31 % BW rewrite match attempts : 64
% 5.14/1.31 % BW rewrite match successes : 43
% 5.14/1.31 % Condensation attempts : 0
% 5.14/1.31 % Condensation successes : 0
% 5.14/1.31 % Termbank termtop insertions : 193091
% 5.14/1.31 % Search garbage collected termcells : 4326
% 5.14/1.31
% 5.14/1.31 % -------------------------------------------------
% 5.14/1.31 % User time : 0.594 s
% 5.14/1.31 % System time : 0.024 s
% 5.14/1.31 % Total time : 0.618 s
% 5.14/1.31 % Maximum resident set size: 4020 pages
% 5.14/1.31
% 5.14/1.31 % -------------------------------------------------
% 5.14/1.31 % User time : 2.928 s
% 5.14/1.31 % System time : 0.111 s
% 5.14/1.31 % Total time : 3.039 s
% 5.14/1.31 % Maximum resident set size: 4864 pages
% 5.14/1.31 % E exiting
%------------------------------------------------------------------------------