TSTP Solution File: SWC297+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWC297+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:21:27 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 104
% Syntax : Number of formulae : 234 ( 29 unt; 80 typ; 0 def)
% Number of atoms : 582 ( 181 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 717 ( 289 ~; 303 |; 49 &)
% ( 7 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 12 con; 0-2 aty)
% Number of variables : 208 ( 0 sgn; 113 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ssItem: $i > $o ).
tff(decl_23,type,
neq: ( $i * $i ) > $o ).
tff(decl_24,type,
ssList: $i > $o ).
tff(decl_25,type,
memberP: ( $i * $i ) > $o ).
tff(decl_26,type,
cons: ( $i * $i ) > $i ).
tff(decl_27,type,
app: ( $i * $i ) > $i ).
tff(decl_28,type,
singletonP: $i > $o ).
tff(decl_29,type,
nil: $i ).
tff(decl_30,type,
frontsegP: ( $i * $i ) > $o ).
tff(decl_31,type,
rearsegP: ( $i * $i ) > $o ).
tff(decl_32,type,
segmentP: ( $i * $i ) > $o ).
tff(decl_33,type,
cyclefreeP: $i > $o ).
tff(decl_34,type,
leq: ( $i * $i ) > $o ).
tff(decl_35,type,
totalorderP: $i > $o ).
tff(decl_36,type,
strictorderP: $i > $o ).
tff(decl_37,type,
lt: ( $i * $i ) > $o ).
tff(decl_38,type,
totalorderedP: $i > $o ).
tff(decl_39,type,
strictorderedP: $i > $o ).
tff(decl_40,type,
duplicatefreeP: $i > $o ).
tff(decl_41,type,
equalelemsP: $i > $o ).
tff(decl_42,type,
hd: $i > $i ).
tff(decl_43,type,
tl: $i > $i ).
tff(decl_44,type,
geq: ( $i * $i ) > $o ).
tff(decl_45,type,
gt: ( $i * $i ) > $o ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk5_1: $i > $i ).
tff(decl_51,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_1: $i > $i ).
tff(decl_57,type,
esk12_1: $i > $i ).
tff(decl_58,type,
esk13_1: $i > $i ).
tff(decl_59,type,
esk14_1: $i > $i ).
tff(decl_60,type,
esk15_1: $i > $i ).
tff(decl_61,type,
esk16_1: $i > $i ).
tff(decl_62,type,
esk17_1: $i > $i ).
tff(decl_63,type,
esk18_1: $i > $i ).
tff(decl_64,type,
esk19_1: $i > $i ).
tff(decl_65,type,
esk20_1: $i > $i ).
tff(decl_66,type,
esk21_1: $i > $i ).
tff(decl_67,type,
esk22_1: $i > $i ).
tff(decl_68,type,
esk23_1: $i > $i ).
tff(decl_69,type,
esk24_1: $i > $i ).
tff(decl_70,type,
esk25_1: $i > $i ).
tff(decl_71,type,
esk26_1: $i > $i ).
tff(decl_72,type,
esk27_1: $i > $i ).
tff(decl_73,type,
esk28_1: $i > $i ).
tff(decl_74,type,
esk29_1: $i > $i ).
tff(decl_75,type,
esk30_1: $i > $i ).
tff(decl_76,type,
esk31_1: $i > $i ).
tff(decl_77,type,
esk32_1: $i > $i ).
tff(decl_78,type,
esk33_1: $i > $i ).
tff(decl_79,type,
esk34_1: $i > $i ).
tff(decl_80,type,
esk35_1: $i > $i ).
tff(decl_81,type,
esk36_1: $i > $i ).
tff(decl_82,type,
esk37_1: $i > $i ).
tff(decl_83,type,
esk38_1: $i > $i ).
tff(decl_84,type,
esk39_1: $i > $i ).
tff(decl_85,type,
esk40_1: $i > $i ).
tff(decl_86,type,
esk41_1: $i > $i ).
tff(decl_87,type,
esk42_1: $i > $i ).
tff(decl_88,type,
esk43_1: $i > $i ).
tff(decl_89,type,
esk44_1: $i > $i ).
tff(decl_90,type,
esk45_1: $i > $i ).
tff(decl_91,type,
esk46_1: $i > $i ).
tff(decl_92,type,
esk47_1: $i > $i ).
tff(decl_93,type,
esk48_0: $i ).
tff(decl_94,type,
esk49_0: $i ).
tff(decl_95,type,
esk50_0: $i ).
tff(decl_96,type,
esk51_0: $i ).
tff(decl_97,type,
esk52_0: $i ).
tff(decl_98,type,
esk53_0: $i ).
tff(decl_99,type,
esk54_0: $i ).
tff(decl_100,type,
esk55_0: $i ).
tff(decl_101,type,
esk56_0: $i ).
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| lt(X8,X5) )
& ( ~ memberP(X7,X8)
| lt(X5,X8) ) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X3
| ~ memberP(X4,X9) ) )
& 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(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
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(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(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
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(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(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
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(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ( cons(X3,X1) = cons(X4,X2)
=> ( X3 = X4
& X2 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax19) ).
fof(ax22,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssItem(hd(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
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(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(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(X6,cons(X5,nil)),X7) != X1
| ! [X8] :
( ssItem(X8)
=> ( ( ~ memberP(X6,X8)
| lt(X8,X5) )
& ( ~ memberP(X7,X8)
| lt(X5,X8) ) ) ) ) ) ) )
| ( nil != X3
& nil = X4 )
| ( ! [X9] :
( ssItem(X9)
=> ( cons(X9,nil) != X3
| ~ memberP(X4,X9) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_25,negated_conjecture,
( ssList(esk48_0)
& ssList(esk49_0)
& ssList(esk50_0)
& ssList(esk51_0)
& esk49_0 = esk51_0
& esk48_0 = esk50_0
& ssItem(esk52_0)
& ssList(esk53_0)
& ssList(esk54_0)
& app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0
& ssItem(esk55_0)
& ( memberP(esk54_0,esk55_0)
| memberP(esk53_0,esk55_0) )
& ( ~ lt(esk52_0,esk55_0)
| memberP(esk53_0,esk55_0) )
& ( memberP(esk54_0,esk55_0)
| ~ lt(esk55_0,esk52_0) )
& ( ~ lt(esk52_0,esk55_0)
| ~ lt(esk55_0,esk52_0) )
& ( nil = esk50_0
| nil != esk51_0 )
& ( ssItem(esk56_0)
| ~ neq(esk51_0,nil) )
& ( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) )
& ( memberP(esk51_0,esk56_0)
| ~ neq(esk51_0,nil) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_26,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_27,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_28,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_29,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X114,X115] :
( ~ ssList(X114)
| ~ ssItem(X115)
| ssList(cons(X115,X114)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).
fof(c_0_34,plain,
! [X23,X24,X26] :
( ( ssList(esk6_2(X23,X24))
| ~ frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( app(X24,esk6_2(X23,X24)) = X23
| ~ frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) )
& ( ~ ssList(X26)
| app(X24,X26) != X23
| frontsegP(X23,X24)
| ~ ssList(X24)
| ~ ssList(X23) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).
fof(c_0_35,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_36,negated_conjecture,
( app(esk53_0,app(cons(esk52_0,nil),esk54_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_29,c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_37,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_39,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_40,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_41,plain,
( frontsegP(X3,X2)
| ~ ssList(X1)
| app(X2,X1) != X3
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( cons(X2,X1) = app(cons(X2,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_31]),c_0_39])]) ).
cnf(c_0_47,negated_conjecture,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_32])]) ).
cnf(c_0_48,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_49,plain,
! [X220,X221,X222] :
( ~ ssList(X220)
| ~ ssList(X221)
| ~ ssList(X222)
| app(X221,X222) != app(X221,X220)
| X222 = X220 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).
cnf(c_0_50,plain,
( app(X1,esk6_2(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_51,negated_conjecture,
frontsegP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_52,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_53,plain,
( ssList(esk6_2(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,X3) != app(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
app(esk53_0,esk6_2(esk50_0,esk53_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_32])]) ).
cnf(c_0_56,negated_conjecture,
ssList(esk6_2(esk50_0,esk53_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_51]),c_0_32]),c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk6_2(esk50_0,esk53_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_32])]) ).
fof(c_0_58,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_59,negated_conjecture,
ssList(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_61,negated_conjecture,
( esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
fof(c_0_62,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_63,plain,
! [X131,X132] :
( ~ ssList(X131)
| ~ ssItem(X132)
| tl(cons(X132,X131)) = X131 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).
cnf(c_0_64,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_65,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( ssItem(esk56_0)
| ~ neq(esk51_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_68,negated_conjecture,
esk6_2(esk50_0,esk53_0) = cons(esk52_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_69,plain,
( singletonP(X2)
| ~ ssItem(X1)
| cons(X1,nil) != X2
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_70,plain,
! [X216] :
( ~ ssList(X216)
| nil = X216
| cons(hd(X216),tl(X216)) = X216 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).
cnf(c_0_71,plain,
( tl(cons(X2,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_38]),c_0_66])]) ).
cnf(c_0_73,negated_conjecture,
( esk51_0 = nil
| ssItem(esk56_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_38]),c_0_66])]) ).
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,negated_conjecture,
( X1 = cons(esk52_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_57,c_0_68]) ).
fof(c_0_76,plain,
! [X128,X129] :
( ~ ssList(X128)
| ~ ssItem(X129)
| hd(cons(X129,X128)) = X129 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
cnf(c_0_77,plain,
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
( tl(esk50_0) = nil
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_38])]),c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( nil = esk50_0
| nil != esk51_0 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_81,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
fof(c_0_82,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_83,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]) ).
fof(c_0_84,plain,
! [X138] :
( ~ ssList(X138)
| app(nil,X138) = X138 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_85,negated_conjecture,
( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
| ~ ssList(app(cons(esk52_0,nil),esk54_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
fof(c_0_86,plain,
! [X118,X119,X120,X121] :
( ( X120 = X121
| cons(X120,X118) != cons(X121,X119)
| ~ ssItem(X121)
| ~ ssItem(X120)
| ~ ssList(X119)
| ~ ssList(X118) )
& ( X119 = X118
| cons(X120,X118) != cons(X121,X119)
| ~ ssItem(X121)
| ~ ssItem(X120)
| ~ ssList(X119)
| ~ ssList(X118) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).
cnf(c_0_87,plain,
( hd(cons(X2,X1)) = X2
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
( cons(esk5_1(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_89,plain,
( ssItem(esk5_1(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_90,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_37]),c_0_38])]) ).
cnf(c_0_91,negated_conjecture,
( cons(hd(esk50_0),nil) = esk50_0
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_52])]),c_0_80]) ).
fof(c_0_92,plain,
! [X127] :
( ~ ssList(X127)
| nil = X127
| ssItem(hd(X127)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).
fof(c_0_93,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_94,plain,
! [X160] :
( ~ ssItem(X160)
| ~ memberP(nil,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])]) ).
cnf(c_0_95,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_82]) ).
cnf(c_0_96,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_83]) ).
cnf(c_0_97,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,negated_conjecture,
( app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_42]),c_0_31])]) ).
cnf(c_0_99,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_100,plain,
( esk5_1(X1) = hd(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_38])]),c_0_89]) ).
cnf(c_0_101,negated_conjecture,
( esk50_0 = nil
| singletonP(esk50_0)
| ~ ssItem(hd(esk50_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_103,plain,
( X3 = X1
| memberP(X2,X3)
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_104,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_105,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_95]) ).
cnf(c_0_106,plain,
( segmentP(app(X1,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_38])]),c_0_42]) ).
cnf(c_0_107,negated_conjecture,
app(cons(esk52_0,nil),esk54_0) = cons(esk52_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_108,plain,
( esk5_1(cons(X1,X2)) = X1
| ~ singletonP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_88]),c_0_38])])]),c_0_89]),c_0_37]) ).
cnf(c_0_109,plain,
( ssItem(hd(X1))
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( esk50_0 = nil
| singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_52])]) ).
cnf(c_0_111,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_103,c_0_88]),c_0_38])]),c_0_89]),c_0_104]) ).
cnf(c_0_112,negated_conjecture,
memberP(esk50_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_46]),c_0_52]),c_0_31]),c_0_32]),c_0_39])]) ).
fof(c_0_113,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_114,negated_conjecture,
( segmentP(cons(esk52_0,esk54_0),cons(esk52_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_31])]) ).
cnf(c_0_115,plain,
( esk5_1(cons(X1,nil)) = X1
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_90]),c_0_38])]) ).
cnf(c_0_116,negated_conjecture,
( esk50_0 = nil
| ssItem(hd(esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_52])]) ).
cnf(c_0_117,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_111,c_0_112]),c_0_52]),c_0_39])]) ).
fof(c_0_118,plain,
! [X230] :
( ~ ssList(X230)
| app(X230,nil) = X230 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).
fof(c_0_119,plain,
! [X228,X229] :
( ( nil = X229
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil = X228
| nil != app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) )
& ( nil != X229
| nil != X228
| nil = app(X228,X229)
| ~ ssList(X229)
| ~ ssList(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).
fof(c_0_120,plain,
! [X217,X218,X219] :
( ~ ssList(X217)
| ~ ssList(X218)
| ~ ssList(X219)
| app(X219,X218) != app(X217,X218)
| X219 = X217 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).
cnf(c_0_121,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_122,negated_conjecture,
segmentP(cons(esk52_0,esk54_0),cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_123,negated_conjecture,
ssList(cons(esk52_0,esk54_0)),
inference(rw,[status(thm)],[c_0_56,c_0_68]) ).
cnf(c_0_124,negated_conjecture,
( esk5_1(esk50_0) = hd(esk50_0)
| esk50_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_91]),c_0_116]) ).
cnf(c_0_125,negated_conjecture,
( esk5_1(esk50_0) = esk52_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_117,c_0_110]) ).
cnf(c_0_126,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_127,plain,
( nil = X1
| nil != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_128,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X3,X2) != app(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( cons(esk52_0,esk54_0) = cons(esk52_0,nil)
| ~ segmentP(cons(esk52_0,nil),cons(esk52_0,esk54_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_130,negated_conjecture,
( hd(esk50_0) = esk52_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( segmentP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_126]),c_0_38])]),c_0_42]) ).
cnf(c_0_132,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_29]),c_0_31])]) ).
cnf(c_0_133,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_97]),c_0_38])]) ).
cnf(c_0_134,plain,
( X1 = X2
| cons(X3,X2) != cons(X4,X1)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_135,negated_conjecture,
( cons(esk52_0,esk54_0) = cons(esk52_0,nil)
| ~ segmentP(cons(esk52_0,nil),cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_136,negated_conjecture,
( cons(esk52_0,nil) = esk50_0
| esk50_0 = nil ),
inference(spm,[status(thm)],[c_0_91,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
segmentP(esk50_0,cons(esk52_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_46]),c_0_123]),c_0_32])]) ).
cnf(c_0_138,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_42]),c_0_32])]) ).
cnf(c_0_139,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,esk54_0) != esk50_0
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_46]),c_0_32])]) ).
cnf(c_0_140,negated_conjecture,
( esk50_0 = nil
| X1 = nil
| cons(X2,X1) != esk50_0
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_91]),c_0_38])]),c_0_116]) ).
cnf(c_0_141,negated_conjecture,
( cons(esk52_0,esk54_0) = esk50_0
| esk50_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_142,negated_conjecture,
( esk54_0 = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_143,plain,
( nil = X1
| nil != app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_144,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,esk54_0) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_145,negated_conjecture,
esk54_0 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_31]),c_0_39])]),c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( esk53_0 = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_46]),c_0_32])]) ).
cnf(c_0_147,negated_conjecture,
( esk53_0 = nil
| cons(esk52_0,nil) != esk50_0 ),
inference(rw,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
( esk53_0 = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_37]),c_0_31]),c_0_39])]) ).
cnf(c_0_149,negated_conjecture,
( memberP(esk54_0,esk55_0)
| memberP(esk53_0,esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_150,negated_conjecture,
esk53_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_136]),c_0_148]) ).
cnf(c_0_151,negated_conjecture,
memberP(nil,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_145]),c_0_150])]) ).
cnf(c_0_152,negated_conjecture,
ssItem(esk55_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_151]),c_0_152])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC297+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 17:08:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.75 % Version : CSE_E---1.5
% 0.20/0.75 % Problem : theBenchmark.p
% 0.20/0.75 % Proof found
% 0.20/0.75 % SZS status Theorem for theBenchmark.p
% 0.20/0.75 % SZS output start Proof
% See solution above
% 0.20/0.76 % Total time : 0.200000 s
% 0.20/0.76 % SZS output end Proof
% 0.20/0.76 % Total time : 0.205000 s
%------------------------------------------------------------------------------