%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL172-1 : 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 : n002.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 07:53:55 AM UTC 2026
% Result : Unsatisfiable 9.68s 11.63s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 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 : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ).
cnf(rule_1,axiom,
( ~ axiom(X0)
| theorem(X0) ) ).
cnf(c0,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(c4,plain,
axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(clausification,[status(esa)],[axiom_1_5]) ).
cnf(c6,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(clausification,[status(esa)],[rule_1]) ).
cnf(d0,plain,
theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL172-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/10.36 % Computer : n002.cluster.edu
% 0.06/10.36 % Model : x86_64 x86_64
% 0.06/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/10.36 % Memory : 8046.5625MB
% 0.06/10.36 % OS : Linux 6.8.0-71-generic
% 0.06/10.36 % CPULimit : 300
% 0.06/10.36 % WCLimit : 300
% 0.06/10.36 % DateTime : Fri Sep 25 22:00:01 UTC 2026
% 0.06/10.37 % CPUTime :
% 0.06/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.68/11.63 % SZS status Unsatisfiable for theBenchmark.p
% 9.68/11.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------