%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC090+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 : n010.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 08:54:13 AM UTC 2026
% Result : Theorem 22.93s 18.37s
% Output : CNFRefutation 22.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 70 ( 31 unt; 0 def)
% Number of atoms : 189 ( 45 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 218 ( 99 ~; 90 |; 8 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(ax55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ) ).
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)
=> ( ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X6,X5) != X2
| app(X5,X6) != X3 ) ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X6,X5) != X2
| app(X5,X6) != X3 ) ) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
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(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(c148,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax55]) ).
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,
neq(sK254,nil),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ segmentP(sK253,X0)
| ~ segmentP(sK254,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
ssList(sK258),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
ssList(sK259),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
app(sK258,sK259) = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
app(sK259,sK258) = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
app(sK254,nil) = sK254,
inference(resolution,[status(thm)],[c194,c209]) ).
cnf(d1,plain,
app(nil,sK258) = sK258,
inference(resolution,[status(thm)],[c111,c216]) ).
cnf(d2,plain,
( segmentP(X1,sK258)
| ~ ssList(nil)
| ~ ssList(sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK258,X0) != X1 ),
inference(superposition,[status(thm)],[d1,c21]) ).
cnf(d3,plain,
( segmentP(X1,sK258)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK258,X0) != X1 ),
inference(resolution,[status(thm)],[c216,d2]) ).
cnf(d4,plain,
( segmentP(X1,sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK258,X0) != X1 ),
inference(resolution,[status(thm)],[c97,d3]) ).
cnf(d5,plain,
app(sK258,sK259) = sK254,
inference(demodulation,[status(thm)],[c218,c212]) ).
cnf(d6,plain,
( segmentP(X0,sK258)
| ~ ssList(sK259)
| ~ ssList(X0)
| sK254 != X0 ),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( segmentP(X0,sK258)
| ~ ssList(X0)
| sK254 != X0 ),
inference(resolution,[status(thm)],[c217,d6]) ).
cnf(d8,plain,
( segmentP(sK254,sK258)
| ~ ssList(sK254) ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
segmentP(sK254,sK258),
inference(resolution,[status(thm)],[c209,d8]) ).
cnf(d10,plain,
( ~ segmentP(sK253,sK258)
| ~ ssList(sK258)
| ~ neq(sK258,nil) ),
inference(resolution,[status(thm)],[d9,c215]) ).
cnf(d11,plain,
( ~ segmentP(sK253,sK258)
| ~ neq(sK258,nil) ),
inference(resolution,[status(thm)],[c216,d10]) ).
cnf(d12,plain,
app(sK253,nil) = sK253,
inference(resolution,[status(thm)],[c194,c208]) ).
cnf(d13,plain,
app(sK259,sK258) = sK253,
inference(demodulation,[status(thm)],[c219,c213]) ).
cnf(d14,plain,
( segmentP(X1,sK258)
| ~ ssList(sK259)
| ~ ssList(sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK253,X0) != X1 ),
inference(superposition,[status(thm)],[d13,c21]) ).
cnf(d15,plain,
( segmentP(X1,sK258)
| ~ ssList(sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK253,X0) != X1 ),
inference(resolution,[status(thm)],[c217,d14]) ).
cnf(d16,plain,
( segmentP(X1,sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK253,X0) != X1 ),
inference(resolution,[status(thm)],[c216,d15]) ).
cnf(d17,plain,
( segmentP(app(sK253,X0),sK258)
| ~ ssList(X0)
| ~ ssList(app(sK253,X0)) ),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
( ~ ssList(app(sK253,nil))
| ~ ssList(nil)
| segmentP(sK253,sK258) ),
inference(superposition,[status(thm)],[d12,d17]) ).
cnf(d19,plain,
( segmentP(sK253,sK258)
| ~ ssList(nil)
| ~ ssList(sK253) ),
inference(demodulation,[status(thm)],[d18,d12]) ).
cnf(d20,plain,
( segmentP(sK253,sK258)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c208,d19]) ).
cnf(d21,plain,
segmentP(sK253,sK258),
inference(resolution,[status(thm)],[c97,d20]) ).
cnf(d22,plain,
~ neq(sK258,nil),
inference(resolution,[status(thm)],[d21,d11]) ).
cnf(d23,plain,
( ~ ssList(sK258)
| ~ ssList(nil)
| sK258 = nil ),
inference(resolution,[status(thm)],[d22,c95]) ).
cnf(d24,plain,
( ~ ssList(nil)
| sK258 = nil ),
inference(resolution,[status(thm)],[c216,d23]) ).
cnf(d25,plain,
sK258 = nil,
inference(resolution,[status(thm)],[c97,d24]) ).
cnf(d26,plain,
app(nil,sK259) = sK254,
inference(demodulation,[status(thm)],[d5,d25]) ).
cnf(d27,plain,
app(nil,sK259) = sK259,
inference(resolution,[status(thm)],[c111,c217]) ).
cnf(d28,plain,
sK254 = sK259,
inference(demodulation,[status(thm)],[d27,d26]) ).
cnf(d29,plain,
app(sK259,nil) = sK253,
inference(demodulation,[status(thm)],[d13,d25]) ).
cnf(d30,plain,
app(sK254,nil) = sK253,
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
sK254 = sK253,
inference(demodulation,[status(thm)],[d30,d0]) ).
cnf(d32,plain,
( ~ segmentP(sK253,sK254)
| ~ ssList(sK254)
| ~ neq(sK254,nil)
| ~ ssList(sK254) ),
inference(resolution,[status(thm)],[c148,c215]) ).
cnf(d33,plain,
( ~ segmentP(sK253,sK254)
| ~ neq(sK254,nil) ),
inference(resolution,[status(thm)],[c209,d32]) ).
cnf(d34,plain,
~ segmentP(sK253,sK254),
inference(resolution,[status(thm)],[c214,d33]) ).
cnf(d35,plain,
~ segmentP(sK254,sK254),
inference(demodulation,[status(thm)],[d34,d31]) ).
cnf(d36,plain,
( segmentP(X1,sK259)
| ~ ssList(sK258)
| ~ ssList(sK259)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK254,X0) != X1 ),
inference(superposition,[status(thm)],[d5,c21]) ).
cnf(d37,plain,
( segmentP(X1,sK259)
| ~ ssList(sK258)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK254,X0) != X1 ),
inference(resolution,[status(thm)],[c217,d36]) ).
cnf(d38,plain,
( segmentP(X1,sK259)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK254,X0) != X1 ),
inference(resolution,[status(thm)],[c216,d37]) ).
cnf(d39,plain,
( segmentP(app(sK254,X0),sK259)
| ~ ssList(X0)
| ~ ssList(app(sK254,X0)) ),
inference(equality_resolution,[status(thm)],[d38]) ).
cnf(d40,plain,
( ~ ssList(app(sK254,nil))
| ~ ssList(nil)
| segmentP(sK254,sK259) ),
inference(superposition,[status(thm)],[d0,d39]) ).
cnf(d41,plain,
( segmentP(sK254,sK259)
| ~ ssList(nil)
| ~ ssList(sK254) ),
inference(demodulation,[status(thm)],[d40,d0]) ).
cnf(d42,plain,
( segmentP(sK254,sK259)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c209,d41]) ).
cnf(d43,plain,
segmentP(sK254,sK259),
inference(resolution,[status(thm)],[c97,d42]) ).
cnf(d44,plain,
segmentP(sK254,sK254),
inference(demodulation,[status(thm)],[d43,d28]) ).
cnf(d45,plain,
$false,
inference(resolution,[status(thm)],[d44,d35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC090+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.39 % Computer : n010.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Sat Sep 26 12:14:34 UTC 2026
% 0.10/15.40 % CPUTime :
% 0.10/15.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.93/18.37 % SZS status Theorem for theBenchmark.p
% 22.93/18.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------