%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN054-1 : 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 : n001.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 09:20:58 AM UTC 2026
% Result : Unsatisfiable 7.72s 7.71s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 3 unt; 9 nHn; 19 RR)
% Number of literals : 40 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ 'big$uq'(X0)
| ~ 'big$us'(X0) ) ).
cnf(clause_2,axiom,
( 'big$ur'(X0)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ) ).
cnf(clause_3,axiom,
( 'big$uq'(b)
| 'big$up'(a) ) ).
cnf(clause_4,axiom,
( 'big$us'(X0)
| ~ 'big$uq'(X0) ) ).
cnf(clause_6,negated_conjecture,
( ~ 'big$ur'(X0)
| ~ 'big$up'(X0) ) ).
cnf(c0,plain,
( ~ 'big$uq'(X0)
| ~ 'big$us'(X0) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( 'big$ur'(X0)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$uq'(b)
| 'big$up'(a) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( 'big$us'(X0)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c5,plain,
( ~ 'big$ur'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(d0,plain,
( 'big$ur'(a)
| 'big$uq'(a)
| 'big$uq'(b) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( ~ 'big$up'(a)
| 'big$uq'(b)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( 'big$uq'(b)
| 'big$uq'(b)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'big$us'(b)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'big$uq'(b)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( 'big$uq'(a)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'big$us'(a),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
~ 'big$uq'(a),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d5,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.46 % Computer : n001.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Sat Sep 26 17:13:18 UTC 2026
% 0.18/5.47 % CPUTime :
% 0.18/5.47 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.72/7.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.72/7.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------