%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL079-1 : 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 : n018.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 07:53:42 AM UTC 2026
% Result : Unsatisfiable 11.17s 1.90s
% Output : CNFRefutation 11.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 30 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(cn_18,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(cn_35,axiom,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))) ).
cnf(a_implies_b,hypothesis,
'is$ua$utheorem'(implies(a,b)) ).
cnf(b_implies_c,hypothesis,
'is$ua$utheorem'(implies(b,c)) ).
cnf(prove_transitivity,negated_conjecture,
~ 'is$ua$utheorem'(implies(a,c)) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[cn_18]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(clausification,[status(esa)],[cn_35]) ).
cnf(c4,plain,
'is$ua$utheorem'(implies(a,b)),
inference(clausification,[status(esa)],[a_implies_b]) ).
cnf(c5,plain,
'is$ua$utheorem'(implies(b,c)),
inference(clausification,[status(esa)],[b_implies_c]) ).
cnf(c6,plain,
~ 'is$ua$utheorem'(implies(a,c)),
inference(clausification,[status(esa)],[prove_transitivity]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(X1)
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2)))
| 'is$ua$utheorem'(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(X0,X1))
| 'is$ua$utheorem'(implies(X0,X2))
| ~ 'is$ua$utheorem'(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(implies(X2,X1))
| ~ 'is$ua$utheorem'(implies(X0,X2))
| 'is$ua$utheorem'(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'is$ua$utheorem'(implies(a,X0))
| ~ 'is$ua$utheorem'(implies(b,X0)) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
'is$ua$utheorem'(implies(a,c)),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 21:51:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.17/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 11.17/1.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------