%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC373+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:55:09 AM UTC 2026
% Result : Theorem 28.93s 5.22s
% Output : CNFRefutation 28.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 98 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 115 ( 52 ~; 45 |; 3 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 13 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(ax17,axiom,
ssList(nil) ).
fof(ax84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X1,X0)
| ~ rearsegP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X1,X0)
| ~ rearsegP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
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(c97,plain,
ssList(nil),
inference(clausification,[status(esa)],[ax17]) ).
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,
rearsegP(sK256,sK255),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
~ segmentP(sK254,sK253),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
app(sK254,nil) = sK254,
inference(resolution,[status(thm)],[c194,c209]) ).
cnf(d1,plain,
rearsegP(sK254,sK255),
inference(demodulation,[status(thm)],[c214,c212]) ).
cnf(d2,plain,
rearsegP(sK254,sK253),
inference(demodulation,[status(thm)],[d1,c213]) ).
cnf(d3,plain,
( ~ ssList(sK253)
| ~ ssList(sK254)
| app(sK19(sK254,sK253),sK253) = sK254 ),
inference(resolution,[status(thm)],[c16,d2]) ).
cnf(d4,plain,
( ~ ssList(sK254)
| app(sK19(sK254,sK253),sK253) = sK254 ),
inference(resolution,[status(thm)],[c208,d3]) ).
cnf(d5,plain,
app(sK19(sK254,sK253),sK253) = sK254,
inference(resolution,[status(thm)],[c209,d4]) ).
cnf(d6,plain,
( segmentP(X1,sK253)
| ~ ssList(sK19(sK254,sK253))
| ~ ssList(sK253)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK254,X0) != X1 ),
inference(superposition,[status(thm)],[d5,c21]) ).
cnf(d7,plain,
( segmentP(X1,sK253)
| ~ ssList(sK19(sK254,sK253))
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK254,X0) != X1 ),
inference(resolution,[status(thm)],[c208,d6]) ).
cnf(d8,plain,
( segmentP(app(sK254,X0),sK253)
| ~ ssList(sK19(sK254,sK253))
| ~ ssList(X0)
| ~ ssList(app(sK254,X0)) ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ ssList(sK19(sK254,sK253))
| ~ ssList(app(sK254,nil))
| ~ ssList(nil)
| segmentP(sK254,sK253) ),
inference(superposition,[status(thm)],[d0,d8]) ).
cnf(d10,plain,
( segmentP(sK254,sK253)
| ~ ssList(sK19(sK254,sK253))
| ~ ssList(nil)
| ~ ssList(sK254) ),
inference(demodulation,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
( segmentP(sK254,sK253)
| ~ ssList(sK19(sK254,sK253))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c209,d10]) ).
cnf(d12,plain,
( ~ ssList(sK19(sK254,sK253))
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c215,d11]) ).
cnf(d13,plain,
~ ssList(sK19(sK254,sK253)),
inference(resolution,[status(thm)],[c97,d12]) ).
cnf(d14,plain,
( ~ rearsegP(sK254,sK253)
| ~ ssList(sK253)
| ~ ssList(sK254) ),
inference(resolution,[status(thm)],[d13,c15]) ).
cnf(d15,plain,
( ~ rearsegP(sK254,sK253)
| ~ ssList(sK254) ),
inference(resolution,[status(thm)],[c208,d14]) ).
cnf(d16,plain,
~ rearsegP(sK254,sK253),
inference(resolution,[status(thm)],[c209,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d2,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC373+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 12:54:29 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.93/5.22 % SZS status Theorem for theBenchmark.p
% 28.93/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------