%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN068-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 09:21:12 AM UTC 2026
% Result : Unsatisfiable 8.64s 12.71s
% Output : CNFRefutation 8.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 6 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,axiom,
( 'big$ug'(g(X0))
| ~ 'big$uf'(X0) ) ).
cnf(clause_4,axiom,
( ~ 'big$uh'(X0,g(X0))
| ~ 'big$uf'(X0) ) ).
cnf(clause_5,axiom,
'big$uj'(a) ).
cnf(clause_6,axiom,
( 'big$uh'(a,X0)
| ~ 'big$ug'(X0) ) ).
cnf(clause_7,negated_conjecture,
( 'big$uf'(X0)
| ~ 'big$uj'(X0) ) ).
cnf(c2,plain,
( 'big$ug'(g(X0))
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( ~ 'big$uh'(X0,g(X0))
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
'big$uj'(a),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( 'big$uh'(a,X0)
| ~ 'big$ug'(X0) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( 'big$uf'(X0)
| ~ 'big$uj'(X0) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
( ~ 'big$ug'(g(a))
| ~ 'big$uf'(a) ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
'big$uf'(a),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(d2,plain,
~ 'big$ug'(g(a)),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ 'big$uf'(a),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN068-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/10.44 % Computer : n019.cluster.edu
% 0.18/10.44 % Model : x86_64 x86_64
% 0.18/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.44 % Memory : 8046.5625MB
% 0.18/10.44 % OS : Linux 6.8.0-71-generic
% 0.18/10.44 % CPULimit : 300
% 0.18/10.44 % WCLimit : 300
% 0.18/10.44 % DateTime : Sat Sep 26 17:09:29 UTC 2026
% 0.18/10.45 % CPUTime :
% 0.18/10.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.64/12.71 % SZS status Unsatisfiable for theBenchmark.p
% 8.64/12.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------