%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:43:22 PM UTC 2026
% Result : Theorem 0.23s 5.92s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 147 ( 21 unt; 0 def)
% Number of atoms : 581 ( 198 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 730 ( 296 ~; 301 |; 49 &)
% ( 5 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn 125 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ( ( nil != X3
| nil != X4 )
& ! [X8] :
( ? [X9] :
( leq(X8,X9)
& memberP(X4,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X4,X8)
| cons(X8,nil) != X3
| ~ ssItem(X8) ) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ( ~ memberP(X7,X5)
& ~ memberP(X6,X5) )
| app(app(X6,cons(X5,nil)),X7) != X1
| ~ ssList(X7) ) ) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax83,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X1
& nil = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax38,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( app(X2,X3) = X1
& ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(ax41,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X2,X1)
& frontsegP(X1,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(ax79,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X3,X2) = app(X1,X2)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(ax85,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(ax43,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X2)
=> frontsegP(app(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax80,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(ax84,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(ax78,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(ax86,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax24,axiom,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X3,X1)
| memberP(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(c_0_24,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ( ( nil != X3
| nil != X4 )
& ! [X8] :
( ? [X9] :
( leq(X8,X9)
& memberP(X4,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X4,X8)
| cons(X8,nil) != X3
| ~ ssItem(X8) ) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ( ~ memberP(X7,X5)
& ~ memberP(X6,X5) )
| app(app(X6,cons(X5,nil)),X7) != X1
| ~ ssList(X7) ) ) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ( ( nil != X3
| nil != X4 )
& ! [X8] :
( ? [X9] :
( leq(X8,X9)
& memberP(X4,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X4,X8)
| cons(X8,nil) != X3
| ~ ssItem(X8) ) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ( ~ memberP(X7,X5)
& ~ memberP(X6,X5) )
| app(app(X6,cons(X5,nil)),X7) != X1
| ~ ssList(X7) ) ) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_26,negated_conjecture,
! [X262] :
( ( ~ leq(esk55_0,X262)
| ~ memberP(esk51_0,X262)
| esk55_0 = X262
| ~ ssItem(X262)
| nil = esk50_0 )
& ( ~ leq(esk55_0,X262)
| ~ memberP(esk51_0,X262)
| esk55_0 = X262
| ~ ssItem(X262)
| nil = esk51_0 )
& ( memberP(esk51_0,esk55_0)
| nil = esk50_0 )
& ( memberP(esk51_0,esk55_0)
| nil = esk51_0 )
& ( cons(esk55_0,nil) = esk50_0
| nil = esk50_0 )
& ( cons(esk55_0,nil) = esk50_0
| nil = esk51_0 )
& ( ssItem(esk55_0)
| nil = esk50_0 )
& ( ssItem(esk55_0)
| nil = esk51_0 )
& ( memberP(esk54_0,esk52_0)
| memberP(esk53_0,esk52_0) )
& app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0
& ssList(esk54_0)
& ssList(esk53_0)
& ssItem(esk52_0)
& esk48_0 = esk50_0
& esk49_0 = esk51_0
& ssList(esk51_0)
& ssList(esk50_0)
& ssList(esk49_0)
& ssList(esk48_0) ),
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)],[c_0_25])])])])])]) ).
fof(c_0_27,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])])])])]) ).
cnf(c_0_28,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| nil != app(X2,X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk54_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,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_34,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| nil != app(X1,X2)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| esk50_0 != nil
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
ssList(esk53_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_38,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_39,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| esk50_0 != nil
| app(esk53_0,cons(esk52_0,nil)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_32])]) ).
cnf(c_0_40,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| esk50_0 != nil
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_41,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ssList(cons(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_43,negated_conjecture,
ssItem(esk52_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| esk50_0 != nil
| app(esk53_0,cons(esk52_0,nil)) = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_37])]) ).
fof(c_0_45,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[ax38]) ).
cnf(c_0_46,negated_conjecture,
( memberP(esk54_0,esk52_0)
| memberP(esk53_0,esk52_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,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_40,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_48,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| esk50_0 != nil
| esk53_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_44]),c_0_37])]) ).
fof(c_0_49,plain,
! [X160] :
( ~ memberP(nil,X160)
| ~ ssItem(X160) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_50,negated_conjecture,
( esk50_0 != nil
| memberP(esk53_0,esk52_0)
| memberP(nil,esk52_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( esk50_0 != nil
| esk53_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_42]),c_0_43])]) ).
fof(c_0_52,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])])])]) ).
fof(c_0_53,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_54,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( esk50_0 != nil
| memberP(nil,esk52_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_56,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_57,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_58,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_59,plain,
( ~ ssList(X3)
| ~ ssList(X2)
| app(X2,X1) != X3
| ~ ssList(X1)
| frontsegP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( cons(esk55_0,nil) = esk50_0
| nil = esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_61,negated_conjecture,
esk50_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_43])]) ).
cnf(c_0_62,negated_conjecture,
( ssItem(esk55_0)
| nil = esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_63,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])])])])]) ).
cnf(c_0_64,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_56]) ).
cnf(c_0_65,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| 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_31,c_0_57]),c_0_32]),c_0_37])]) ).
cnf(c_0_66,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| cons(X2,X1) = app(cons(X2,nil),X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
ssList(esk48_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_68,plain,
! [X164,X165] :
( X164 = X165
| ~ frontsegP(X165,X164)
| ~ frontsegP(X164,X165)
| ~ ssList(X165)
| ~ ssList(X164) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])])]) ).
cnf(c_0_69,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| frontsegP(app(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_59]),c_0_36]) ).
fof(c_0_70,plain,
! [X217,X218,X219] :
( X219 = X217
| app(X219,X218) != app(X217,X218)
| ~ ssList(X219)
| ~ ssList(X218)
| ~ ssList(X217) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])]) ).
cnf(c_0_71,negated_conjecture,
cons(esk55_0,nil) = esk50_0,
inference(sr,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_72,negated_conjecture,
ssItem(esk55_0),
inference(sr,[status(thm)],[c_0_62,c_0_61]) ).
fof(c_0_73,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> hd(app(X1,X2)) = hd(X1) ) ) ),
inference(fof_simplification,[status(thm)],[ax85]) ).
cnf(c_0_74,plain,
( ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(cons(X1,X2),X3)
| memberP(X2,X3)
| X3 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_75,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_64]) ).
cnf(c_0_76,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| 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_65,c_0_66]),c_0_32]),c_0_43])]) ).
cnf(c_0_77,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_67,c_0_29]) ).
cnf(c_0_78,plain,
( ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| frontsegP(esk50_0,app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_31]),c_0_32])]) ).
fof(c_0_80,plain,
! [X167,X168,X169] :
( frontsegP(app(X167,X169),X168)
| ~ frontsegP(X167,X168)
| ~ ssList(X169)
| ~ ssList(X168)
| ~ ssList(X167) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])])]) ).
cnf(c_0_81,plain,
( app(X3,X2) != app(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| X3 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,negated_conjecture,
( ~ ssList(X1)
| app(esk50_0,X1) = cons(esk55_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_71]),c_0_72])]) ).
fof(c_0_83,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_73])])])]) ).
fof(c_0_84,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_85,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(esk50_0,X1)
| esk55_0 = X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_71]),c_0_42]),c_0_72])]),c_0_54]) ).
cnf(c_0_86,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| 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_75,c_0_76]),c_0_77]),c_0_32]),c_0_37]),c_0_43])]) ).
fof(c_0_87,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_88,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| ~ frontsegP(app(esk53_0,cons(esk52_0,nil)),esk50_0)
| app(esk53_0,cons(esk52_0,nil)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_77])]) ).
cnf(c_0_89,plain,
( ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| frontsegP(app(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != cons(esk55_0,X2)
| X1 = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_77])]) ).
fof(c_0_91,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_92,plain,
! [X230] :
( app(X230,nil) = X230
| ~ ssList(X230) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).
fof(c_0_93,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> cons(hd(X1),tl(X1)) = X1 ) ),
inference(fof_simplification,[status(thm)],[ax78]) ).
cnf(c_0_94,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| hd(app(X1,X2)) = hd(X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
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_53]) ).
cnf(c_0_96,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ssList(esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_97,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ ssList(app(cons(esk52_0,nil),esk54_0))
| frontsegP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_65]),c_0_37])]) ).
cnf(c_0_98,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| hd(cons(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_99,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| esk52_0 = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_43])]) ).
cnf(c_0_100,plain,
( ~ ssList(X1)
| app(nil,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_101,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| ~ frontsegP(esk53_0,esk50_0)
| app(esk53_0,cons(esk52_0,nil)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_77]),c_0_37])]) ).
cnf(c_0_102,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| cons(esk55_0,esk54_0) != esk50_0
| app(esk53_0,cons(esk52_0,nil)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_31]),c_0_32])]) ).
cnf(c_0_103,plain,
( app(X2,X3) != app(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| X3 = X1 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_104,plain,
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
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_93])])]) ).
cnf(c_0_106,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| nil = X2
| hd(X1) = hd(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_107,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| frontsegP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_36]),c_0_32])]) ).
cnf(c_0_108,negated_conjecture,
hd(esk50_0) = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_71]),c_0_42]),c_0_72])]) ).
cnf(c_0_109,negated_conjecture,
esk52_0 = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_110,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != X2
| X1 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_100]),c_0_42])]) ).
cnf(c_0_111,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ frontsegP(esk53_0,esk50_0)
| app(esk53_0,cons(esk52_0,nil)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_36]),c_0_37])]) ).
fof(c_0_112,plain,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil != X1
=> tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[ax86]) ).
cnf(c_0_113,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| cons(esk55_0,esk54_0) != esk50_0
| app(esk53_0,cons(esk52_0,nil)) = esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_36]),c_0_37])]) ).
fof(c_0_114,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])])])]) ).
cnf(c_0_115,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_103,c_0_104]),c_0_42])]) ).
cnf(c_0_116,plain,
( ~ ssList(X1)
| cons(hd(X1),tl(X1)) = X1
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( esk53_0 = nil
| hd(esk53_0) = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_37]),c_0_77]),c_0_109]),c_0_71]),c_0_77])]) ).
cnf(c_0_118,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ frontsegP(esk53_0,esk50_0)
| cons(esk52_0,nil) != esk50_0
| esk53_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_37])]) ).
fof(c_0_119,plain,
! [X1] :
( ssList(X1)
=> ( nil != X1
=> ssList(tl(X1)) ) ),
inference(fof_simplification,[status(thm)],[ax24]) ).
fof(c_0_120,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_112])])])]) ).
cnf(c_0_121,negated_conjecture,
app(app(esk53_0,esk50_0),esk54_0) = esk50_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_109]),c_0_71]) ).
cnf(c_0_122,negated_conjecture,
( cons(esk55_0,esk54_0) != esk50_0
| app(esk53_0,esk50_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_113,c_0_109]),c_0_71]),c_0_71]),c_0_77])]) ).
cnf(c_0_123,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| tl(cons(X2,X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_124,negated_conjecture,
( ~ ssList(app(esk53_0,cons(esk52_0,nil)))
| app(esk53_0,cons(esk52_0,nil)) != esk50_0
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_31]),c_0_32])]) ).
cnf(c_0_125,negated_conjecture,
( ~ ssList(X1)
| frontsegP(cons(esk55_0,X1),esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_82]),c_0_77])]) ).
cnf(c_0_126,negated_conjecture,
( esk53_0 = nil
| cons(esk55_0,tl(esk53_0)) = esk53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_37])]) ).
cnf(c_0_127,negated_conjecture,
( ~ frontsegP(esk53_0,esk50_0)
| esk53_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_109]),c_0_71]),c_0_109]),c_0_71]),c_0_77])]) ).
fof(c_0_128,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_119])])]) ).
fof(c_0_129,plain,
! [X154,X155,X156] :
( ( ~ ssItem(X154)
| ~ ssList(X155)
| ~ ssList(X156)
| memberP(app(X155,X156),X154)
| ~ memberP(X156,X154) )
& ( ~ ssItem(X154)
| ~ ssList(X155)
| ~ ssList(X156)
| memberP(app(X155,X156),X154)
| ~ memberP(X155,X154) )
& ( ~ ssItem(X154)
| ~ ssList(X155)
| ~ ssList(X156)
| memberP(X156,X154)
| memberP(X155,X154)
| ~ memberP(app(X155,X156),X154) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])]) ).
cnf(c_0_130,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| tl(app(X1,X2)) = app(tl(X1),X2)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,negated_conjecture,
( cons(esk55_0,esk54_0) != esk50_0
| app(esk50_0,esk54_0) = esk50_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_132,negated_conjecture,
tl(esk50_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_71]),c_0_42]),c_0_72])]) ).
cnf(c_0_133,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| app(esk53_0,cons(esk52_0,nil)) != esk50_0
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_36]),c_0_37])]) ).
cnf(c_0_134,negated_conjecture,
( ~ ssList(tl(esk53_0))
| esk53_0 = nil ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_135,plain,
( ~ ssList(X1)
| ssList(tl(X1))
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_136,plain,
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| memberP(app(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_137,negated_conjecture,
( cons(esk55_0,esk54_0) != esk50_0
| app(nil,esk54_0) = nil ),
inference(sr,[status(thm)],[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_130,c_0_131]),c_0_132]),c_0_132]),c_0_32]),c_0_77])]),c_0_61]) ).
cnf(c_0_138,negated_conjecture,
( app(esk53_0,esk50_0) != esk50_0
| esk54_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_109]),c_0_71]),c_0_71]),c_0_77])]) ).
cnf(c_0_139,negated_conjecture,
esk53_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_37])]) ).
cnf(c_0_140,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(esk54_0,X1)
| cons(esk55_0,esk54_0) != esk50_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_42]),c_0_32])]),c_0_54]) ).
cnf(c_0_141,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk54_0,esk55_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_109]),c_0_109]) ).
cnf(c_0_142,negated_conjecture,
( app(nil,esk50_0) != esk50_0
| esk54_0 = nil ),
inference(rw,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( cons(esk55_0,esk54_0) != esk50_0
| memberP(esk53_0,esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_72])]) ).
cnf(c_0_144,negated_conjecture,
esk54_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_100]),c_0_77])]) ).
cnf(c_0_145,negated_conjecture,
memberP(nil,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_139]),c_0_144]),c_0_71])]) ).
cnf(c_0_146,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_145]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.45 % Computer : n014.cluster.edu
% 0.19/5.45 % Model : x86_64 x86_64
% 0.19/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.45 % Memory : 8046.5625MB
% 0.19/5.45 % OS : Linux 6.8.0-71-generic
% 0.19/5.45 % CPULimit : 300
% 0.19/5.45 % WCLimit : 300
% 0.19/5.45 % DateTime : Mon Sep 21 08:02:25 UTC 2026
% 0.19/5.45 % CPUTime :
% 0.19/5.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/5.52 Running first-order theorem proving
% 0.23/5.52 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.23/5.92 % Version: 3.5.1
% 0.23/5.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.92 % Starting new_bool_3 with 300s (1) cores
% 0.23/5.92 % Starting new_bool_1 with 300s (1) cores
% 0.23/5.92 % Starting sh5l with 300s (1) cores
% 0.23/5.92 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3594621 completed with status 0
% 0.23/5.92 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/5.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.92 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.92 % No SInE strategy applied
% 0.23/5.92 % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.23/5.92 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.92 % Starting SubtermCWHack with 136s (1) cores
% 0.23/5.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/5.92 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.23/5.92 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.23/5.92 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.23/5.92 % G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with pid 3594631 completed with status 0
% 0.23/5.92 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 0.23/5.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.92 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.92 % No SInE strategy applied
% 0.23/5.92 % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.23/5.92 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.92 % Starting SubtermCWHack with 136s (1) cores
% 0.23/5.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/5.92 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.23/5.92 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.23/5.92 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.23/5.92 % Preprocessing time : 0.006 s
% 0.23/5.92 % Presaturation interreduction done
% 0.23/5.92
% 0.23/5.92 % Proof found!
% 0.23/5.92 % SZS status Theorem
% 0.23/5.92 % SZS output start CNFRefutation
% See solution above
% 0.23/5.92 % Parsed axioms : 96
% 0.23/5.92 % Removed by relevancy pruning/SinE : 0
% 0.23/5.92 % Initial clauses : 209
% 0.23/5.92 % Removed in clause preprocessing : 2
% 0.23/5.92 % Initial clauses in saturation : 207
% 0.23/5.92 % Processed clauses : 1458
% 0.23/5.92 % ...of these trivial : 17
% 0.23/5.92 % ...subsumed : 588
% 0.23/5.92 % ...remaining for further processing : 853
% 0.23/5.92 % Other redundant clauses eliminated : 131
% 0.23/5.92 % Clauses deleted for lack of memory : 0
% 0.23/5.92 % Backward-subsumed : 115
% 0.23/5.92 % Backward-rewritten : 131
% 0.23/5.92 % Generated clauses : 4667
% 0.23/5.92 % ...of the previous two non-redundant : 4077
% 0.23/5.92 % ...aggressively subsumed : 0
% 0.23/5.92 % Contextual simplify-reflections : 121
% 0.23/5.92 % Paramodulations : 4523
% 0.23/5.92 % Factorizations : 0
% 0.23/5.92 % NegExts : 0
% 0.23/5.92 % Equation resolutions : 136
% 0.23/5.92 % Disequality decompositions : 0
% 0.23/5.92 % Total rewrite steps : 5403
% 0.23/5.92 % ...of those cached : 5353
% 0.23/5.92 % Propositional unsat checks : 0
% 0.23/5.92 % Propositional check models : 0
% 0.23/5.92 % Propositional check unsatisfiable : 0
% 0.23/5.92 % Propositional clauses : 0
% 0.23/5.92 % Propositional clauses after purity: 0
% 0.23/5.92 % Propositional unsat core size : 0
% 0.23/5.92 % Propositional preprocessing time : 0.000
% 0.23/5.92 % Propositional encoding time : 0.000
% 0.23/5.92 % Propositional solver time : 0.000
% 0.23/5.92 % Success case prop preproc time : 0.000
% 0.23/5.92 % Success case prop encoding time : 0.000
% 0.23/5.92 % Success case prop solver time : 0.000
% 0.23/5.92 % Current number of processed clauses : 373
% 0.23/5.92 % Positive orientable unit clauses : 48
% 0.23/5.92 % Positive unorientable unit clauses: 0
% 0.23/5.92 % Negative unit clauses : 7
% 0.23/5.92 % Non-unit-clauses : 318
% 0.23/5.92 % Current number of unprocessed clauses: 2980
% 0.23/5.92 % ...number of literals in the above : 18847
% 0.23/5.92 % Current number of archived formulas : 0
% 0.23/5.92 % Current number of archived clauses : 457
% 0.23/5.92 % Clause-clause subsumption calls (NU) : 45670
% 0.23/5.92 % Rec. Clause-clause subsumption calls : 13423
% 0.23/5.92 % Non-unit clause-clause subsumptions : 641
% 0.23/5.92 % Unit Clause-clause subsumption calls : 1194
% 0.23/5.92 % Rewrite failures with RHS unbound : 0
% 0.23/5.92 % BW rewrite match attempts : 22
% 0.23/5.92 % BW rewrite match successes : 22
% 0.23/5.92 % Condensation attempts : 0
% 0.23/5.92 % Condensation successes : 0
% 0.23/5.92 % Termbank termtop insertions : 105440
% 0.23/5.92 % Search garbage collected termcells : 4366
% 0.23/5.92
% 0.23/5.92 % -------------------------------------------------
% 0.23/5.92 % User time : 0.282 s
% 0.23/5.92 % System time : 0.015 s
% 0.23/5.92 % Total time : 0.297 s
% 0.23/5.92 % Maximum resident set size: 4020 pages
% 0.23/5.92
% 0.23/5.92 % -------------------------------------------------
% 0.23/5.92 % User time : 1.074 s
% 0.23/5.92 % System time : 0.051 s
% 0.23/5.92 % Total time : 1.125 s
% 0.23/5.92 % Maximum resident set size: 4864 pages
% 0.23/5.92 % E exiting
%------------------------------------------------------------------------------