%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL111-1 : 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 : n008.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 07:53:47 AM UTC 2026
% Result : Unsatisfiable 38.32s 6.30s
% Output : CNFRefutation 38.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 10 RR)
% Number of literals : 30 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 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 : 51 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(X0)
| ~ 'is$ua$utheorem'(implies(X0,X1)) ) ).
cnf(mv_1,axiom,
'is$ua$utheorem'(implies(X0,implies(X1,X0))) ).
cnf(mv_2,axiom,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ).
cnf(mv_3,axiom,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))) ).
cnf(prove_mv_25,negated_conjecture,
~ 'is$ua$utheorem'(implies(implies(a,b),implies(implies(c,a),implies(c,b)))) ).
cnf(c0,plain,
( 'is$ua$utheorem'(X1)
| ~ 'is$ua$utheorem'(implies(X0,X1))
| ~ 'is$ua$utheorem'(X0) ),
inference(clausification,[status(esa)],[condensed_detachment]) ).
cnf(c1,plain,
'is$ua$utheorem'(implies(X0,implies(X1,X0))),
inference(clausification,[status(esa)],[mv_1]) ).
cnf(c2,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(clausification,[status(esa)],[mv_2]) ).
cnf(c3,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(clausification,[status(esa)],[mv_3]) ).
cnf(c5,plain,
~ 'is$ua$utheorem'(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
inference(clausification,[status(esa)],[prove_mv_25]) ).
cnf(d0,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,implies(X2,X1)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d4,plain,
'is$ua$utheorem'(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
( ~ 'is$ua$utheorem'(implies(implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d6,plain,
'is$ua$utheorem'(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'is$ua$utheorem'(implies(implies(X1,implies(implies(X1,X2),X2)),X0))
| 'is$ua$utheorem'(X0) ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
'is$ua$utheorem'(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[d7,c2]) ).
cnf(d9,plain,
'is$ua$utheorem'(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.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
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 21:52:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.32/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 38.32/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------