%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL193-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 07:54:00 AM UTC 2026
% Result : Unsatisfiable 48.52s 7.34s
% Output : CNFRefutation 48.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 41 ( 2 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(implies(q,r),implies(or(p,q),or(r,p)))) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X0,X1),or(X1,X0))) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ).
cnf(implies_definition,axiom,
implies(X0,X1) = or(not(X0),X1) ).
cnf(rule_1,axiom,
( ~ axiom(X0)
| theorem(X0) ) ).
cnf(rule_2,axiom,
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ) ).
cnf(c0,plain,
~ theorem(implies(implies(q,r),implies(or(p,q),or(r,p)))),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c3,plain,
axiom(implies(or(X0,X1),or(X1,X0))),
inference(clausification,[status(esa)],[axiom_1_4]) ).
cnf(c5,plain,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(clausification,[status(esa)],[axiom_1_6]) ).
cnf(c6,plain,
implies(X0,X1) = or(not(X0),X1),
inference(clausification,[status(esa)],[implies_definition]) ).
cnf(c7,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(clausification,[status(esa)],[rule_1]) ).
cnf(c8,plain,
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
inference(clausification,[status(esa)],[rule_2]) ).
cnf(d0,plain,
theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[c5,c7]) ).
cnf(d1,plain,
( ~ theorem(implies(X1,X2))
| theorem(implies(or(X0,X1),or(X0,X2))) ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( ~ theorem(implies(X1,X2))
| theorem(implies(implies(X0,X1),or(not(X0),X2))) ),
inference(superposition,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( theorem(implies(implies(X0,X2),implies(X0,X1)))
| ~ theorem(implies(X2,X1)) ),
inference(demodulation,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
( ~ theorem(or(X2,X0))
| theorem(or(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[d1,c8]) ).
cnf(d5,plain,
( theorem(or(not(X0),X2))
| ~ theorem(implies(X1,X2))
| ~ theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,X2))
| ~ theorem(implies(X2,X1)) ),
inference(demodulation,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( theorem(implies(implies(X1,X2),X3))
| ~ theorem(implies(implies(or(X0,X1),or(X0,X2)),X3)) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
( ~ theorem(implies(or(X2,X1),X3))
| theorem(implies(implies(X0,X1),implies(or(X2,X0),X3))) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
~ theorem(implies(or(p,r),or(r,p))),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL193-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 21:57:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.52/7.34 % SZS status Unsatisfiable for theBenchmark.p
% 48.52/7.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------