%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN062-1 : 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 : n011.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 09:21:00 AM UTC 2026
% Result : Unsatisfiable 7.97s 1.50s
% Output : CNFRefutation 7.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 30 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2,axiom,
( 'big$ui'(X0)
| ~ 'big$uh'(X0)
| ~ 'big$uf'(X0) ) ).
cnf(clause_3,axiom,
( 'big$uj'(X0)
| ~ 'big$uh'(X0)
| ~ 'big$ui'(X0) ) ).
cnf(clause_4,axiom,
( 'big$uh'(X0)
| ~ 'big$uk'(X0) ) ).
cnf(clause_5,negated_conjecture,
'big$uf'(a) ).
cnf(clause_6,negated_conjecture,
'big$uk'(a) ).
cnf(clause_7,negated_conjecture,
~ 'big$uj'(a) ).
cnf(c1,plain,
( 'big$ui'(X0)
| ~ 'big$uh'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$uj'(X0)
| ~ 'big$uh'(X0)
| ~ 'big$ui'(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( 'big$uh'(X0)
| ~ 'big$uk'(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
'big$uf'(a),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
'big$uk'(a),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
~ 'big$uj'(a),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
'big$uh'(a),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
( 'big$uj'(a)
| ~ 'big$ui'(a) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ 'big$ui'(a),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( 'big$ui'(a)
| ~ 'big$uf'(a) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d4,plain,
'big$ui'(a),
inference(resolution,[status(thm)],[c4,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN062-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:08:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.97/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 7.97/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------