%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL195-1 : 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 : n019.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 32.88s 13.65s
% Output : CNFRefutation 32.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 43 ( 0 equ; 21 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(X0,X1)),or(X1,X0))) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ).
cnf(axiom_1_6,axiom,
axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ).
cnf(rule_1,axiom,
( ~ axiom(X0)
| theorem(X0) ) ).
cnf(rule_2,axiom,
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ) ).
cnf(rule_3,axiom,
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ) ).
cnf(c0,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c3,plain,
axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(clausification,[status(esa)],[axiom_1_4]) ).
cnf(c4,plain,
axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(clausification,[status(esa)],[axiom_1_5]) ).
cnf(c5,plain,
axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(clausification,[status(esa)],[axiom_1_6]) ).
cnf(c6,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(clausification,[status(esa)],[rule_1]) ).
cnf(c7,plain,
( ~ theorem(X0)
| theorem(X1)
| ~ axiom(or(not(X0),X1)) ),
inference(clausification,[status(esa)],[rule_2]) ).
cnf(c8,plain,
( ~ theorem(or(not(X1),X2))
| theorem(or(not(X0),X2))
| ~ axiom(or(not(X0),X1)) ),
inference(clausification,[status(esa)],[rule_3]) ).
cnf(d0,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d2,plain,
( theorem(or(not(or(X1,X0)),X2))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d3,plain,
( ~ theorem(or(not(X1),X2))
| theorem(or(not(or(X0,X1)),or(X0,X2))) ),
inference(resolution,[status(thm)],[c7,c5]) ).
cnf(d4,plain,
( ~ theorem(or(not(X1),X2))
| theorem(or(X0,or(not(or(X0,X1)),X2))) ),
inference(resolution,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
( theorem(or(not(or(X2,X3)),or(not(or(not(or(X3,X2)),X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( theorem(or(not(or(not(or(X2,X3)),X0)),or(not(or(X3,X2)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( theorem(or(not(or(not(X3),X1)),or(not(or(X3,X0)),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
~ theorem(or(not(or(p,r)),or(r,p))),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n019.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 22:00:09 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.88/13.65 % SZS status Unsatisfiable for theBenchmark.p
% 32.88/13.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------