%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC217+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 : n013.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 08:54:38 AM UTC 2026
% Result : Theorem 18.78s 4.54s
% Output : CNFRefutation 18.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 79 ( 23 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 83 ( 34 ~; 29 |; 5 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ) ).
fof(ax15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ) ).
fof(ax17,axiom,
ssList(nil) ).
fof(ax39,axiom,
~ singletonP(nil) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| neq(X0,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| neq(X0,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c11,plain,
( cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax4]) ).
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(c128,plain,
~ singletonP(nil),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c210,plain,
ssList(sK255),
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,
~ neq(sK253,nil),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ neq(sK256,nil)
| ssItem(sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ neq(sK256,nil)
| cons(sK257,nil) = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ neq(sK255,nil),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d1,plain,
( ~ ssList(sK255)
| ~ ssList(nil)
| sK255 = nil ),
inference(resolution,[status(thm)],[c95,d0]) ).
cnf(d2,plain,
( ~ ssList(nil)
| sK255 = nil ),
inference(resolution,[status(thm)],[c210,d1]) ).
cnf(d3,plain,
sK255 = nil,
inference(resolution,[status(thm)],[c97,d2]) ).
cnf(d4,plain,
neq(sK256,nil),
inference(demodulation,[status(thm)],[c214,c212]) ).
cnf(d5,plain,
cons(sK257,nil) = sK255,
inference(resolution,[status(thm)],[d4,c218]) ).
cnf(d6,plain,
( singletonP(X0)
| ~ ssList(X0)
| ~ ssItem(sK257)
| sK255 != X0 ),
inference(superposition,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
ssItem(sK257),
inference(resolution,[status(thm)],[d4,c217]) ).
cnf(d8,plain,
( singletonP(X0)
| ~ ssList(X0)
| sK255 != X0 ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( singletonP(sK255)
| ~ ssList(sK255) ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
singletonP(sK255),
inference(resolution,[status(thm)],[c210,d9]) ).
cnf(d11,plain,
singletonP(nil),
inference(demodulation,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c128,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC217+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
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 12:31:51 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.78/4.54 % SZS status Theorem for theBenchmark.p
% 18.78/4.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------