%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC006-1 : 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 : n004.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 08:03:17 AM UTC 2026
% Result : Unsatisfiable 9.74s 1.87s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 8 unt; 7 nHn; 13 RR)
% Number of literals : 44 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p_transitivity,hypothesis,
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ) ).
cnf(q_transitivity,hypothesis,
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ) ).
cnf(q_symmetry,hypothesis,
( q(X1,X0)
| ~ q(X0,X1) ) ).
cnf(all_related,hypothesis,
( q(X0,X1)
| p(X0,X1) ) ).
cnf(p_is_not_total,hypothesis,
~ p(a,b) ).
cnf(prove_q_is_total,negated_conjecture,
~ q(c,d) ).
cnf(c0,plain,
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
inference(clausification,[status(esa)],[p_transitivity]) ).
cnf(c1,plain,
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
inference(clausification,[status(esa)],[q_transitivity]) ).
cnf(c2,plain,
( q(X1,X0)
| ~ q(X0,X1) ),
inference(clausification,[status(esa)],[q_symmetry]) ).
cnf(c3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(clausification,[status(esa)],[all_related]) ).
cnf(c4,plain,
~ p(a,b),
inference(clausification,[status(esa)],[p_is_not_total]) ).
cnf(c5,plain,
~ q(c,d),
inference(clausification,[status(esa)],[prove_q_is_total]) ).
cnf(d0,plain,
q(a,b),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
( q(a,X0)
| ~ q(b,X0) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ p(X2,X0)
| p(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d3,plain,
( q(X0,X2)
| q(X2,X1)
| p(X0,X1) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( q(a,X0)
| q(X0,b) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( q(b,X0)
| q(a,X0) ),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
( q(a,X0)
| q(a,X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
q(X0,a),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( q(X1,X0)
| ~ q(a,X0) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
q(X0,X1),
inference(resolution,[status(thm)],[d6,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n004.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Sat Sep 26 00:14:36 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/1.87 % SZS status Unsatisfiable for theBenchmark.p
% 9.74/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------