%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC052+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 : Sun Sep 27 08:54:06 AM UTC 2026
% Result : Theorem 35.51s 11.85s
% Output : CNFRefutation 35.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 137 ( 19 unt; 0 def)
% Number of atoms : 463 ( 146 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 552 ( 226 ~; 272 |; 17 &)
% ( 4 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ) ).
fof(ax6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ) ).
fof(ax7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ) ).
fof(ax15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ) ).
fof(ax17,axiom,
ssList(nil) ).
fof(ax28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ) ).
fof(ax41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ) ).
fof(ax42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ) ).
fof(ax43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ) ).
fof(ax49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ) ).
fof(ax50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ) ).
fof(ax79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ) ).
fof(ax84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ? [X5] :
( segmentP(X0,X5)
& segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( neq(X3,nil)
& ! [X4] :
( ~ frontsegP(X2,X4)
| ~ frontsegP(X3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( ? [X5] :
( segmentP(X0,X5)
& segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( neq(X3,nil)
& ! [X4] :
( ~ frontsegP(X2,X4)
| ~ frontsegP(X3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c12,plain,
( ssList(sK15(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax5]) ).
cnf(c13,plain,
( app(X1,sK15(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax5]) ).
cnf(c15,plain,
( ssList(sK19(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax6]) ).
cnf(c16,plain,
( app(sK19(X0,X1),X1) = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax6]) ).
cnf(c21,plain,
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| segmentP(X0,X1) ),
inference(clausification,[status(esa)],[ax7]) ).
cnf(c94,plain,
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax15]) ).
cnf(c95,plain,
( X0 = X1
| neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax15]) ).
cnf(c97,plain,
ssList(nil),
inference(clausification,[status(esa)],[ax17]) ).
cnf(c111,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax28]) ).
cnf(c130,plain,
( ~ ssList(X1)
| X1 = X0
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(clausification,[status(esa)],[ax41]) ).
cnf(c131,plain,
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax42]) ).
cnf(c132,plain,
( ~ ssList(X2)
| frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(clausification,[status(esa)],[ax43]) ).
cnf(c141,plain,
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax49]) ).
cnf(c142,plain,
( ~ rearsegP(X2,X0)
| rearsegP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax50]) ).
cnf(c187,plain,
( ~ ssList(X1)
| X1 = X0
| ~ ssList(X2)
| app(X1,X2) != app(X0,X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax79]) ).
cnf(c194,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax84]) ).
cnf(c208,plain,
ssList(sK253),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c209,plain,
ssList(sK254),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c212,plain,
sK254 = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c213,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
( nil != sK256
| nil = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ neq(sK256,nil)
| ssList(sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( ~ neq(sK256,nil)
| neq(sK257,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ neq(sK256,nil)
| frontsegP(sK256,sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ neq(sK256,nil)
| frontsegP(sK255,sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( neq(sK254,nil)
| nil = sK254 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sK253,X0)
| nil = sK254
| ~ segmentP(sK254,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c221,plain,
( neq(sK254,nil)
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(equality_resolution,[status(thm)],[c94]) ).
cnf(d1,plain,
app(sK254,nil) = sK254,
inference(resolution,[status(thm)],[c194,c209]) ).
cnf(d2,plain,
( ~ ssList(sK254)
| ~ ssList(X0)
| ~ ssList(nil)
| sK254 = X0
| sK254 != app(X0,nil) ),
inference(superposition,[status(thm)],[d1,c187]) ).
cnf(d3,plain,
( ~ ssList(nil)
| ~ ssList(X0)
| sK254 != app(X0,nil)
| sK254 = X0 ),
inference(resolution,[status(thm)],[c209,d2]) ).
cnf(d4,plain,
( ~ ssList(X0)
| sK254 != app(X0,nil)
| sK254 = X0 ),
inference(resolution,[status(thm)],[c97,d3]) ).
cnf(d5,plain,
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK254)
| rearsegP(sK254,X0) ),
inference(superposition,[status(thm)],[d1,c142]) ).
cnf(d6,plain,
( rearsegP(sK254,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c209,d5]) ).
cnf(d7,plain,
( rearsegP(sK254,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c97,d6]) ).
cnf(d8,plain,
( ~ ssList(nil)
| rearsegP(sK254,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[d7,c141]) ).
cnf(d9,plain,
rearsegP(sK254,nil),
inference(resolution,[status(thm)],[c97,d8]) ).
cnf(d10,plain,
( ~ ssList(nil)
| ~ ssList(sK254)
| app(sK19(sK254,nil),nil) = sK254 ),
inference(resolution,[status(thm)],[d9,c16]) ).
cnf(d11,plain,
( ~ ssList(nil)
| app(sK19(sK254,nil),nil) = sK254 ),
inference(resolution,[status(thm)],[c209,d10]) ).
cnf(d12,plain,
app(sK19(sK254,nil),nil) = sK254,
inference(resolution,[status(thm)],[c97,d11]) ).
cnf(d13,plain,
( ~ ssList(sK19(sK254,nil))
| sK254 = sK19(sK254,nil)
| sK254 != sK254 ),
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
( ~ ssList(sK19(sK254,nil))
| sK254 = sK19(sK254,nil) ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ rearsegP(sK254,nil)
| ~ ssList(nil)
| ~ ssList(sK254)
| sK254 = sK19(sK254,nil) ),
inference(resolution,[status(thm)],[d14,c15]) ).
cnf(d16,plain,
( ~ rearsegP(sK254,nil)
| ~ ssList(nil)
| sK254 = sK19(sK254,nil) ),
inference(resolution,[status(thm)],[c209,d15]) ).
cnf(d17,plain,
( ~ rearsegP(sK254,nil)
| sK254 = sK19(sK254,nil) ),
inference(resolution,[status(thm)],[c97,d16]) ).
cnf(d18,plain,
sK254 = sK19(sK254,nil),
inference(resolution,[status(thm)],[d9,d17]) ).
cnf(d19,plain,
app(nil,sK254) = sK254,
inference(resolution,[status(thm)],[c111,c209]) ).
cnf(d20,plain,
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(nil,sK19(X0,X1)) = sK19(X0,X1) ),
inference(resolution,[status(thm)],[c111,c15]) ).
cnf(d21,plain,
( ~ ssList(sK254)
| ~ ssList(nil)
| app(nil,sK19(sK254,nil)) = sK19(sK254,nil) ),
inference(resolution,[status(thm)],[d20,d9]) ).
cnf(d22,plain,
( ~ ssList(sK254)
| ~ ssList(nil)
| app(nil,sK254) = sK19(sK254,nil) ),
inference(demodulation,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
( ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = sK19(sK254,nil) ),
inference(demodulation,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
( ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = sK254 ),
inference(demodulation,[status(thm)],[d23,d18]) ).
cnf(d25,plain,
( ~ ssList(nil)
| sK254 = sK254 ),
inference(resolution,[status(thm)],[c209,d24]) ).
cnf(d26,plain,
sK254 = sK254,
inference(resolution,[status(thm)],[c97,d25]) ).
cnf(d27,plain,
( ssList(sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c215,c212]) ).
cnf(d28,plain,
( ssList(sK257)
| ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c95,d27]) ).
cnf(d29,plain,
( ssList(sK257)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c209,d28]) ).
cnf(d30,plain,
( ssList(sK257)
| sK254 = nil ),
inference(resolution,[status(thm)],[c97,d29]) ).
cnf(d31,plain,
( neq(sK257,nil)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c216,c212]) ).
cnf(d32,plain,
( neq(sK257,nil)
| ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c95,d31]) ).
cnf(d33,plain,
( ~ ssList(nil)
| neq(sK257,nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c209,d32]) ).
cnf(d34,plain,
( neq(sK257,nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c97,d33]) ).
cnf(d35,plain,
( frontsegP(sK255,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c218,c212]) ).
cnf(d36,plain,
( frontsegP(sK253,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d35,c213]) ).
cnf(d37,plain,
( frontsegP(sK253,sK257)
| ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c95,d36]) ).
cnf(d38,plain,
( frontsegP(sK253,sK257)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c209,d37]) ).
cnf(d39,plain,
( frontsegP(sK253,sK257)
| sK254 = nil ),
inference(resolution,[status(thm)],[c97,d38]) ).
cnf(d40,plain,
( sK254 = nil
| app(nil,sK257) = sK257 ),
inference(resolution,[status(thm)],[c111,d30]) ).
cnf(d41,plain,
( sK254 = nil
| segmentP(X1,sK257)
| ~ ssList(nil)
| ~ ssList(sK257)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK257,X0) != X1 ),
inference(superposition,[status(thm)],[d40,c21]) ).
cnf(d42,plain,
( segmentP(X1,sK257)
| ~ ssList(sK257)
| ~ ssList(X0)
| ~ ssList(X1)
| sK254 = nil
| app(sK257,X0) != X1 ),
inference(resolution,[status(thm)],[c97,d41]) ).
cnf(d43,plain,
( ~ ssList(sK253)
| ~ ssList(sK257)
| app(sK257,sK15(sK253,sK257)) = sK253
| sK254 = nil ),
inference(resolution,[status(thm)],[d39,c13]) ).
cnf(d44,plain,
( ~ ssList(sK257)
| sK254 = nil
| app(sK257,sK15(sK253,sK257)) = sK253 ),
inference(resolution,[status(thm)],[c208,d43]) ).
cnf(d45,plain,
( sK254 = nil
| sK254 = nil
| app(sK257,sK15(sK253,sK257)) = sK253 ),
inference(resolution,[status(thm)],[d44,d30]) ).
cnf(d46,plain,
( sK254 = nil
| segmentP(X0,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK253,sK257))
| ~ ssList(X0)
| sK254 = nil
| sK253 != X0 ),
inference(superposition,[status(thm)],[d45,d42]) ).
cnf(d47,plain,
( segmentP(sK253,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK253,sK257))
| ~ ssList(sK253)
| sK254 = nil ),
inference(equality_resolution,[status(thm)],[d46]) ).
cnf(d48,plain,
( segmentP(sK253,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK253,sK257))
| sK254 = nil ),
inference(resolution,[status(thm)],[c208,d47]) ).
cnf(d49,plain,
( ~ frontsegP(sK253,sK257)
| ~ ssList(sK253)
| ~ ssList(sK257)
| segmentP(sK253,sK257)
| ~ ssList(sK257)
| sK254 = nil ),
inference(resolution,[status(thm)],[d48,c12]) ).
cnf(d50,plain,
( segmentP(sK253,sK257)
| ~ frontsegP(sK253,sK257)
| ~ ssList(sK257)
| sK254 = nil ),
inference(resolution,[status(thm)],[c208,d49]) ).
cnf(d51,plain,
( sK254 = nil
| segmentP(sK253,sK257)
| ~ ssList(sK257)
| sK254 = nil ),
inference(resolution,[status(thm)],[d50,d39]) ).
cnf(d52,plain,
( frontsegP(sK256,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c217,c212]) ).
cnf(d53,plain,
( frontsegP(sK254,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d52,c212]) ).
cnf(d54,plain,
( frontsegP(sK254,sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d53]) ).
cnf(d55,plain,
( ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d27]) ).
cnf(d56,plain,
( nil = sK254
| app(nil,sK257) = sK257 ),
inference(resolution,[status(thm)],[c111,d55]) ).
cnf(d57,plain,
( nil = sK254
| segmentP(X1,sK257)
| ~ ssList(nil)
| ~ ssList(sK257)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK257,X0) != X1 ),
inference(superposition,[status(thm)],[d56,c21]) ).
cnf(d58,plain,
( segmentP(X1,sK257)
| ~ ssList(sK257)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = sK254
| app(sK257,X0) != X1 ),
inference(resolution,[status(thm)],[c97,d57]) ).
cnf(d59,plain,
( ~ ssList(sK254)
| ~ ssList(sK257)
| app(sK257,sK15(sK254,sK257)) = sK254
| nil = sK254 ),
inference(resolution,[status(thm)],[d54,c13]) ).
cnf(d60,plain,
( ~ ssList(sK257)
| nil = sK254
| app(sK257,sK15(sK254,sK257)) = sK254 ),
inference(resolution,[status(thm)],[c209,d59]) ).
cnf(d61,plain,
( nil = sK254
| nil = sK254
| app(sK257,sK15(sK254,sK257)) = sK254 ),
inference(resolution,[status(thm)],[d60,d55]) ).
cnf(d62,plain,
( nil = sK254
| segmentP(X0,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK254,sK257))
| ~ ssList(X0)
| nil = sK254
| sK254 != X0 ),
inference(superposition,[status(thm)],[d61,d58]) ).
cnf(d63,plain,
( segmentP(sK254,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK254,sK257))
| ~ ssList(sK254)
| nil = sK254 ),
inference(equality_resolution,[status(thm)],[d62]) ).
cnf(d64,plain,
( segmentP(sK254,sK257)
| ~ ssList(sK257)
| ~ ssList(sK15(sK254,sK257))
| nil = sK254 ),
inference(resolution,[status(thm)],[c209,d63]) ).
cnf(d65,plain,
( ~ frontsegP(sK254,sK257)
| ~ ssList(sK254)
| ~ ssList(sK257)
| segmentP(sK254,sK257)
| ~ ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[d64,c12]) ).
cnf(d66,plain,
( segmentP(sK254,sK257)
| ~ frontsegP(sK254,sK257)
| ~ ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c209,d65]) ).
cnf(d67,plain,
( nil = sK254
| segmentP(sK254,sK257)
| ~ ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[d66,d54]) ).
cnf(d68,plain,
( ~ segmentP(sK253,sK257)
| ~ ssList(sK257)
| ~ neq(sK257,nil)
| nil = sK254
| ~ ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[d67,c220]) ).
cnf(d69,plain,
( ~ ssList(sK257)
| sK254 = nil
| ~ ssList(sK257)
| ~ neq(sK257,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[d68,d51]) ).
cnf(d70,plain,
( sK254 = nil
| ~ ssList(sK257)
| sK254 = nil
| nil = sK254 ),
inference(resolution,[status(thm)],[d69,d34]) ).
cnf(d71,plain,
( sK254 = nil
| sK254 = nil
| nil = sK254 ),
inference(resolution,[status(thm)],[d70,d30]) ).
cnf(d72,plain,
( sK254 = nil
| sK254 = nil ),
inference(superposition,[status(thm)],[d71,d26]) ).
cnf(d73,plain,
( nil != sK256
| nil = sK253 ),
inference(demodulation,[status(thm)],[c214,c213]) ).
cnf(d74,plain,
( nil != sK254
| nil = sK253 ),
inference(demodulation,[status(thm)],[d73,c212]) ).
cnf(d75,plain,
( nil != nil
| nil = sK253 ),
inference(demodulation,[status(thm)],[d74,d72]) ).
cnf(d76,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK254)
| frontsegP(sK254,X0) ),
inference(superposition,[status(thm)],[d19,c132]) ).
cnf(d77,plain,
( frontsegP(sK254,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c209,d76]) ).
cnf(d78,plain,
( frontsegP(sK254,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c97,d77]) ).
cnf(d79,plain,
( ~ ssList(nil)
| frontsegP(sK254,nil)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[d78,c131]) ).
cnf(d80,plain,
frontsegP(sK254,nil),
inference(resolution,[status(thm)],[c97,d79]) ).
cnf(d81,plain,
( ~ frontsegP(nil,sK254)
| ~ ssList(sK254)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[d80,c130]) ).
cnf(d82,plain,
( ~ frontsegP(nil,sK254)
| ~ ssList(nil)
| sK254 = nil ),
inference(resolution,[status(thm)],[c209,d81]) ).
cnf(d83,plain,
( ~ frontsegP(nil,sK254)
| sK254 = nil ),
inference(resolution,[status(thm)],[c97,d82]) ).
cnf(d84,plain,
( sK254 = nil
| sK254 = nil
| ~ frontsegP(nil,nil) ),
inference(superposition,[status(thm)],[d71,d83]) ).
cnf(d85,plain,
( ~ frontsegP(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d84,d72]) ).
cnf(d86,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm)],[d80,d72]) ).
cnf(d87,plain,
nil = nil,
inference(resolution,[status(thm)],[d86,d85]) ).
cnf(d88,plain,
nil = sK253,
inference(resolution,[status(thm)],[d87,d75]) ).
cnf(d89,plain,
( neq(nil,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c221,d72]) ).
cnf(d90,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d89,d88]) ).
cnf(d91,plain,
neq(nil,nil),
inference(resolution,[status(thm)],[d87,d90]) ).
cnf(d92,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d91,d0]) ).
cnf(d93,plain,
$false,
inference(resolution,[status(thm)],[c97,d92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC052+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 12:08:19 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.51/11.85 % SZS status Theorem for theBenchmark.p
% 35.51/11.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------