%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC185+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 : 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 : Sun Sep 27 08:54:32 AM UTC 2026
% Result : Theorem 16.13s 4.48s
% Output : CNFRefutation 16.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 86 ( 22 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 114 ( 51 ~; 39 |; 10 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( ( ~ memberP(X9,X7)
& ~ memberP(X8,X7) )
| app(app(X8,cons(X7,nil)),X9) != X0 ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( ( ~ memberP(X9,X7)
& ~ memberP(X8,X7) )
| app(app(X8,cons(X7,nil)),X9) != X0 ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c213,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
( ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| app(app(X0,cons(X1,nil)),X2) != sK255
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ ssList(X1)
| ~ ssItem(X2)
| app(app(X0,cons(X2,nil)),X1) != sK255
| ~ memberP(X1,X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
ssItem(sK260),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
ssList(sK261),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
ssList(sK262),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
app(app(sK261,cons(sK260,nil)),sK262) = sK253,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( memberP(sK262,sK260)
| memberP(sK261,sK260) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
app(app(sK261,cons(sK260,nil)),sK262) = sK255,
inference(demodulation,[status(thm)],[c219,c213]) ).
cnf(d1,plain,
( ~ ssList(sK262)
| ~ ssList(sK261)
| ~ memberP(sK262,sK260)
| ~ ssItem(sK260)
| sK255 != sK255 ),
inference(superposition,[status(thm)],[d0,c215]) ).
cnf(d2,plain,
( ~ ssList(sK261)
| ~ memberP(sK262,sK260)
| ~ ssItem(sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c218,d1]) ).
cnf(d3,plain,
( ~ ssList(sK261)
| ~ memberP(sK262,sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c216,d2]) ).
cnf(d4,plain,
( ~ memberP(sK262,sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c217,d3]) ).
cnf(d5,plain,
( ~ ssList(sK262)
| ~ ssList(sK261)
| ~ memberP(sK261,sK260)
| ~ ssItem(sK260)
| sK255 != sK255 ),
inference(superposition,[status(thm)],[d0,c214]) ).
cnf(d6,plain,
( ~ ssList(sK261)
| ~ memberP(sK261,sK260)
| ~ ssItem(sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c218,d5]) ).
cnf(d7,plain,
( ~ ssList(sK261)
| ~ memberP(sK261,sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c216,d6]) ).
cnf(d8,plain,
( ~ memberP(sK261,sK260)
| sK255 != sK255 ),
inference(resolution,[status(thm)],[c217,d7]) ).
cnf(d9,plain,
~ memberP(sK261,sK260),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
memberP(sK262,sK260),
inference(resolution,[status(thm)],[d9,c220]) ).
cnf(d11,plain,
sK255 != sK255,
inference(resolution,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
$false,
inference(equality_resolution,[status(thm)],[d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC185+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.65 % Computer : n014.cluster.edu
% 0.18/0.65 % Model : x86_64 x86_64
% 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.65 % Memory : 8046.5625MB
% 0.18/0.65 % OS : Linux 6.8.0-71-generic
% 0.18/0.65 % CPULimit : 300
% 0.18/0.65 % WCLimit : 300
% 0.18/0.65 % DateTime : Sat Sep 26 12:27:18 UTC 2026
% 0.21/0.65 % CPUTime :
% 0.21/0.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.13/4.48 % SZS status Theorem for theBenchmark.p
% 16.13/4.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------