%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN058-1 : 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 : n016.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 09:20:59 AM UTC 2026
% Result : Unsatisfiable 8.07s 1.47s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 0 equ; 12 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( 'big$uq'(X1)
| ~ 'big$up'(X0) ) ).
cnf(clause_3,axiom,
( 'big$us'(c)
| ~ 'big$uq'(b) ) ).
cnf(clause_6,axiom,
( 'big$ug'(X1)
| ~ 'big$uf'(X1)
| ~ 'big$us'(X0) ) ).
cnf(clause_7,negated_conjecture,
'big$up'(d) ).
cnf(clause_8,negated_conjecture,
'big$uf'(d) ).
cnf(clause_9,negated_conjecture,
~ 'big$ug'(d) ).
cnf(c0,plain,
( 'big$uq'(X1)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
( 'big$us'(c)
| ~ 'big$uq'(b) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c5,plain,
( 'big$ug'(X1)
| ~ 'big$uf'(X1)
| ~ 'big$us'(X0) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
'big$up'(d),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
'big$uf'(d),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c8,plain,
~ 'big$ug'(d),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(d0,plain,
'big$uq'(X0),
inference(resolution,[status(thm)],[c0,c6]) ).
cnf(d1,plain,
'big$us'(c),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( 'big$ug'(d)
| ~ 'big$us'(X0) ),
inference(resolution,[status(thm)],[c5,c7]) ).
cnf(d3,plain,
~ 'big$us'(X0),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 17:13:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.07/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 8.07/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------