%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN082-1 : 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 : n020.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 09:21:15 AM UTC 2026
% Result : Unsatisfiable 12.91s 2.38s
% Output : CNFRefutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 2 unt; 8 nHn; 21 RR)
% Number of literals : 53 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( 'big$uf'(X0,f(a))
| ~ 'big$uf'(X0,b)
| 'big$uf'(a,f(a)) ) ).
cnf(clause_2,negated_conjecture,
( 'big$uf'(a,b)
| 'big$uf'(a,f(a)) ) ).
cnf(clause_4,negated_conjecture,
( 'big$uf'(a,b)
| ~ 'big$uf'(a,X0)
| 'big$uf'(g(X0),X0) ) ).
cnf(clause_5,negated_conjecture,
( ~ 'big$uf'(a,f(a))
| ~ 'big$uf'(a,X0)
| 'big$uf'(g(X0),X0) ) ).
cnf(clause_7,negated_conjecture,
( 'big$uf'(a,b)
| ~ 'big$uf'(a,X0)
| ~ 'big$uf'(g(X0),X0) ) ).
cnf(clause_8,negated_conjecture,
( ~ 'big$uf'(a,f(a))
| ~ 'big$uf'(a,X0)
| ~ 'big$uf'(g(X0),X0) ) ).
cnf(c0,plain,
( 'big$uf'(X0,f(a))
| ~ 'big$uf'(X0,b)
| 'big$uf'(a,f(a)) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( 'big$uf'(a,b)
| 'big$uf'(a,f(a)) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c3,plain,
( 'big$uf'(a,b)
| ~ 'big$uf'(a,X0)
| 'big$uf'(g(X0),X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ 'big$uf'(a,f(a))
| ~ 'big$uf'(a,X0)
| 'big$uf'(g(X0),X0) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c6,plain,
( 'big$uf'(a,b)
| ~ 'big$uf'(a,X0)
| ~ 'big$uf'(g(X0),X0) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c7,plain,
( ~ 'big$uf'(a,f(a))
| ~ 'big$uf'(a,X0)
| ~ 'big$uf'(g(X0),X0) ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(d0,plain,
( 'big$uf'(a,b)
| ~ 'big$uf'(a,X0)
| 'big$uf'(a,b)
| ~ 'big$uf'(a,X0) ),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d1,plain,
( 'big$uf'(a,b)
| 'big$uf'(a,b) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( 'big$uf'(a,f(a))
| ~ 'big$uf'(a,b) ),
inference(factoring,[status(thm)],[c0]) ).
cnf(d3,plain,
( ~ 'big$uf'(a,b)
| 'big$uf'(g(X0),X0)
| ~ 'big$uf'(a,X0) ),
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( 'big$uf'(g(X0),X0)
| ~ 'big$uf'(a,X0) ),
inference(resolution,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
'big$uf'(a,f(a)),
inference(resolution,[status(thm)],[d1,d2]) ).
cnf(d6,plain,
( ~ 'big$uf'(g(X0),X0)
| ~ 'big$uf'(a,X0) ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( ~ 'big$uf'(a,X0)
| ~ 'big$uf'(a,X0) ),
inference(resolution,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 17:11:19 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.91/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 12.91/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------