%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:20:41 AM UTC 2026
% Result : Unsatisfiable 8.76s 1.58s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 2 unt; 6 nHn; 19 RR)
% Number of literals : 58 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 44 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( 'big$ug'(X1,g(X0,X1))
| ~ 'big$uf'(X0,g(X0,X1))
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_2,negated_conjecture,
( ~ 'big$ug'(X1,g(X0,X1))
| 'big$uf'(X0,g(X0,X1))
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_3,negated_conjecture,
( 'big$ug'(g(X0,X1),g(X0,X1))
| ~ 'big$uf'(g(X0,X1),g(X0,X1))
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_4,negated_conjecture,
( 'big$uf'(g(X0,X1),g(X0,X1))
| 'big$uf'(X0,X1) ) ).
cnf(clause_5,negated_conjecture,
( ~ 'big$ug'(g(X0,X1),g(X0,X1))
| 'big$uf'(X0,X1) ) ).
cnf(clause_6,negated_conjecture,
( 'big$ug'(g(X0,X1),g(X0,X1))
| 'big$ug'(X0,X1) ) ).
cnf(clause_7,negated_conjecture,
( ~ 'big$ug'(g(X0,X1),g(X0,X1))
| ~ 'big$ug'(X0,X1) ) ).
cnf(c0,plain,
( 'big$ug'(X1,g(X0,X1))
| ~ 'big$uf'(X0,g(X0,X1))
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ 'big$ug'(X1,g(X0,X1))
| 'big$uf'(X0,g(X0,X1))
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$ug'(g(X0,X1),g(X0,X1))
| ~ 'big$uf'(g(X0,X1),g(X0,X1))
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( 'big$uf'(g(X0,X1),g(X0,X1))
| 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ 'big$ug'(g(X0,X1),g(X0,X1))
| 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( 'big$ug'(g(X0,X1),g(X0,X1))
| 'big$ug'(X0,X1) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ 'big$ug'(g(X0,X1),g(X0,X1))
| ~ 'big$ug'(X0,X1) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
( 'big$uf'(X0,X1)
| 'big$ug'(X0,X1) ),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d1,plain,
( 'big$uf'(X1,g(X1,X0))
| ~ 'big$uf'(X1,X0)
| 'big$uf'(X0,g(X1,X0)) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( 'big$uf'(X0,g(X0,X0))
| ~ 'big$uf'(X0,X0) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( 'big$ug'(X0,g(X0,X0))
| ~ 'big$uf'(X0,X0)
| ~ 'big$uf'(X0,X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ 'big$ug'(X0,X1)
| 'big$uf'(g(X0,X1),g(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d5,plain,
( 'big$ug'(g(X0,X1),g(X0,X1))
| ~ 'big$uf'(X0,X1)
| ~ 'big$ug'(X0,X1) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( ~ 'big$ug'(X0,X1)
| ~ 'big$ug'(X0,X1)
| ~ 'big$uf'(X0,X1) ),
inference(resolution,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( ~ 'big$uf'(X0,X0)
| ~ 'big$uf'(X0,g(X0,X0)) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ 'big$uf'(X0,X0)
| ~ 'big$uf'(X0,X0) ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
'big$uf'(X0,X1),
inference(resolution,[status(thm)],[d8,c3]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:03:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.76/1.58 % SZS status Unsatisfiable for theBenchmark.p
% 8.76/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------