%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 09:01:13 AM UTC 2026
% Result : Unsatisfiable 12.44s 7.39s
% Output : CNFRefutation 12.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2,negated_conjecture,
'less$uthan'(k,j) ).
cnf(clause_3,negated_conjecture,
~ 'less$uthan'(k,i) ).
cnf(clause_9,negated_conjecture,
'less$uthan'(j,i) ).
cnf(transitivity_of_less_than,axiom,
( ~ 'less$uthan'(X2,X1)
| ~ 'less$uthan'(X0,X2)
| 'less$uthan'(X0,X1) ) ).
cnf(c1,plain,
'less$uthan'(k,j),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
~ 'less$uthan'(k,i),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c8,plain,
'less$uthan'(j,i),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c15,plain,
( ~ 'less$uthan'(X2,X1)
| ~ 'less$uthan'(X0,X2)
| 'less$uthan'(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_less_than]) ).
cnf(d0,plain,
( 'less$uthan'(k,X0)
| ~ 'less$uthan'(j,X0) ),
inference(resolution,[status(thm)],[c15,c1]) ).
cnf(d1,plain,
'less$uthan'(k,i),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n008.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Sat Sep 26 13:05:31 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.44/7.39 % SZS status Unsatisfiable for theBenchmark.p
% 12.44/7.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------