%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:11:06 AM UTC 2026
% Result : Theorem 12.80s 2.75s
% Output : CNFRefutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 6 ~; 1 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_property,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ) ).
fof(sum_something_n0_samething,conjecture,
? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ),
inference(negate_conjecture,[status(cth)],[sum_something_n0_samething]) ).
cnf(c284,plain,
( X1 != X0
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_property]) ).
cnf(c407,plain,
less(X0,n1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ less(X0,X0),
inference(equality_resolution,[status(thm)],[c284]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 02:31:09 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.80/2.75 % SZS status Theorem for theBenchmark.p
% 12.80/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------