%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC095+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 : n004.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 08:54:14 AM UTC 2026
% Result : Theorem 24.61s 3.66s
% Output : CNFRefutation 24.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 67 ( 31 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 86 ( 38 ~; 30 |; 8 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( app(X7,X9) != X3
| app(app(X7,X8),X9) != X2
| ~ ssList(X9) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(X4,X6) = X1
& app(app(X4,X5),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssList(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( app(X7,X9) != X3
| app(app(X7,X8),X9) != X2
| ~ ssList(X9) ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(X4,X6) = X1
& app(app(X4,X5),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssList(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
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,
( ~ ssList(X2)
| app(X1,X2) != sK254
| ~ ssList(X1)
| app(app(X1,X0),X2) != sK253
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
ssList(sK260),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
ssList(sK261),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
ssList(sK262),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
app(app(sK260,sK261),sK262) = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
app(sK260,sK262) = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
app(sK260,sK262) = sK254,
inference(demodulation,[status(thm)],[c219,c212]) ).
cnf(d1,plain,
app(app(sK260,sK261),sK262) = sK253,
inference(demodulation,[status(thm)],[c218,c213]) ).
cnf(d2,plain,
( ~ ssList(sK262)
| ~ ssList(sK260)
| ~ ssList(sK261)
| app(sK260,sK262) != sK254
| sK253 != sK253 ),
inference(superposition,[status(thm)],[d1,c214]) ).
cnf(d3,plain,
( ~ ssList(sK262)
| ~ ssList(sK261)
| ~ ssList(sK260)
| sK253 != sK253
| sK254 != sK254 ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ ssList(sK261)
| ~ ssList(sK260)
| sK253 != sK253
| sK254 != sK254 ),
inference(resolution,[status(thm)],[c217,d3]) ).
cnf(d5,plain,
( ~ ssList(sK261)
| sK254 != sK254
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c215,d4]) ).
cnf(d6,plain,
( sK254 != sK254
| sK253 != sK253 ),
inference(resolution,[status(thm)],[c216,d5]) ).
cnf(d7,plain,
sK253 != sK253,
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC095+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sat Sep 26 12:14:39 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.61/3.66 % SZS status Theorem for theBenchmark.p
% 24.61/3.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------