%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:15:17 AM UTC 2026
% Result : Theorem 14.93s 4.29s
% Output : CNFRefutation 14.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_7,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1 ).
fof(aSatz7_8,conjecture,
! [X0,X1,X2,X3] :
( X1 = X3
| s(X0,X3) != X2
| s(X0,X1) != X2 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X1 = X3
| s(X0,X3) != X2
| s(X0,X1) != X2 ),
inference(negate_conjecture,[status(cth)],[aSatz7_8]) ).
cnf(c100,plain,
s(X0,s(X0,X1)) = X1,
inference(clausification,[status(esa)],[aSatz7_7]) ).
cnf(c159,plain,
s(sK424,sK425) = sK426,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c160,plain,
s(sK424,sK427) = sK426,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c161,plain,
sK425 != sK427,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
s(sK424,sK426) = sK425,
inference(superposition,[status(thm)],[c159,c100]) ).
cnf(d1,plain,
s(sK424,sK426) = sK427,
inference(superposition,[status(thm)],[c160,c100]) ).
cnf(d2,plain,
sK425 = sK427,
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c161,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 13:36:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.93/4.29 % SZS status Theorem for theBenchmark.p
% 14.93/4.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------