%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC189+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 : 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 08:54:33 AM UTC 2026
% Result : Theorem 16.58s 4.57s
% Output : CNFRefutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 77 ( 30 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 95 ( 36 ~; 33 |; 10 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( X8 = X9
| app(app(app(X10,cons(X8,nil)),cons(X9,nil)),X11) != X0 ) ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X2
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( X8 = X9
| app(app(app(X10,cons(X8,nil)),cons(X9,nil)),X11) != X0 ) ) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X2
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(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)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(X3)
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sK255
| X0 = X1 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
ssItem(sK261),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
ssItem(sK262),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
ssList(sK263),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
ssList(sK264),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
app(app(app(sK263,cons(sK261,nil)),cons(sK262,nil)),sK264) = sK253,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
sK261 != sK262,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X1)
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sK253
| X0 = X1 ),
inference(demodulation,[status(thm)],[c214,c213]) ).
cnf(d1,plain,
( ~ ssList(sK263)
| ~ ssList(sK264)
| ~ ssItem(sK261)
| ~ ssItem(sK262)
| sK261 = sK262
| sK253 != sK253 ),
inference(superposition,[status(thm)],[c219,d0]) ).
cnf(d2,plain,
( ~ ssList(sK263)
| ~ ssItem(sK262)
| ~ ssItem(sK261)
| sK261 = sK262
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c218,d1]) ).
cnf(d3,plain,
( ~ ssList(sK263)
| ~ ssItem(sK262)
| sK261 = sK262
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c215,d2]) ).
cnf(d4,plain,
( ~ ssList(sK263)
| sK261 = sK262
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c216,d3]) ).
cnf(d5,plain,
( sK261 = sK262
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c217,d4]) ).
cnf(d6,plain,
sK253 != sK253,
inference(resolution,[status(thm)],[c220,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC189+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43 % Computer : n013.cluster.edu
% 0.10/0.43 % Model : x86_64 x86_64
% 0.10/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.43 % Memory : 8046.5625MB
% 0.10/0.43 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Sat Sep 26 12:27:36 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.58/4.57 % SZS status Theorem for theBenchmark.p
% 16.58/4.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------