%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:10:39 AM UTC 2026
% Result : Unsatisfiable 10.49s 1.73s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_zero_is_less_than_all_successors,negated_conjecture,
~ less(n0,successor(a)) ).
cnf(adding_zero,axiom,
equalish(add(X0,n0),X0) ).
cnf(smaller_number,axiom,
( less(X1,X2)
| ~ equalish(add(successor(X0),X1),X2) ) ).
cnf(c5,plain,
~ less(n0,successor(a)),
inference(clausification,[status(esa)],[prove_zero_is_less_than_all_successors]) ).
cnf(c6,plain,
equalish(add(X0,n0),X0),
inference(clausification,[status(esa)],[adding_zero]) ).
cnf(c13,plain,
( less(X1,X2)
| ~ equalish(add(successor(X0),X1),X2) ),
inference(clausification,[status(esa)],[smaller_number]) ).
cnf(d0,plain,
less(n0,successor(X0)),
inference(resolution,[status(thm)],[c13,c6]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 : Sat Sep 26 01:53:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.49/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.49/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------