%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN065-1 : 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 : n013.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 7.54s
% Output : CNFRefutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
'big$uf'(X0,f(X0)) ).
cnf(clause_3,axiom,
( 'big$uh'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_7,negated_conjecture,
~ 'big$uh'(a,X0) ).
cnf(c0,plain,
'big$uf'(X0,f(X0)),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
( 'big$uh'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c6,plain,
~ 'big$uh'(a,X0),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
( 'big$uh'(X0,f(X1))
| ~ 'big$uf'(X0,X1) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
~ 'big$uf'(a,X0),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN065-1 : 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 : n013.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 17:08:12 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.06/7.54 % SZS status Unsatisfiable for theBenchmark.p
% 8.06/7.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------