%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN066-1 : 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 : n015.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 09:21:01 AM UTC 2026
% Result : Unsatisfiable 8.06s 1.47s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 5 unt; 3 nHn; 8 RR)
% Number of literals : 27 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( 'big$up'(f(X1,X0),g(X1))
| ~ 'big$up'(X0,X1) ) ).
cnf(clause_3,axiom,
( 'big$uq'(h(X0,X1),g(X0))
| ~ 'big$up'(f(X0,X1),g(X0)) ) ).
cnf(clause_4,axiom,
( 'big$uq'(i(X0,X1),X0)
| 'big$up'(X0,X1) ) ).
cnf(clause_5,axiom,
( 'big$ur'(X2,X2)
| ~ 'big$uq'(X0,X1) ) ).
cnf(clause_6,negated_conjecture,
~ 'big$ur'(a,X0) ).
cnf(c0,plain,
( 'big$up'(f(X1,X0),g(X1))
| ~ 'big$up'(X0,X1) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
( 'big$uq'(h(X0,X1),g(X0))
| ~ 'big$up'(f(X0,X1),g(X0)) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( 'big$uq'(i(X0,X1),X0)
| 'big$up'(X0,X1) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( 'big$ur'(X2,X2)
| ~ 'big$uq'(X0,X1) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
~ 'big$ur'(a,X0),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(d0,plain,
( ~ 'big$up'(X1,X0)
| 'big$uq'(h(X0,X1),g(X0)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( 'big$ur'(X2,X2)
| ~ 'big$up'(X0,X1) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( 'big$ur'(X2,X2)
| 'big$up'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d3,plain,
'big$up'(X0,X1),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
'big$ur'(X0,X0),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.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 17:11:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.06/1.47 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/1.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------