%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM002-1 : 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 : n020.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 06:58:19 AM UTC 2026
% Result : Unsatisfiable 9.74s 1.70s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 20 unt; 0 nHn; 30 RR)
% Number of literals : 44 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(direct_success,axiom,
( ~ follows(X0,X1)
| succeeds(X0,X1) ) ).
cnf(transitivity_of_success,axiom,
( ~ succeeds(X2,X1)
| ~ succeeds(X0,X2)
| succeeds(X0,X1) ) ).
cnf(goto_success,axiom,
( ~ labels(X2,X0)
| ~ has(X1,goto(X2))
| succeeds(X0,X1) ) ).
cnf(label_state_3,hypothesis,
labels(loop,p3) ).
cnf(transition_3_to_6,hypothesis,
follows(p6,p3) ).
cnf(transition_6_to_7,hypothesis,
follows(p7,p6) ).
cnf(transition_7_to_8,hypothesis,
follows(p8,p7) ).
cnf(state_8,hypothesis,
has(p8,goto(loop)) ).
cnf(prove_there_is_a_loop_through_p3,negated_conjecture,
~ succeeds(p3,p3) ).
cnf(c0,plain,
( ~ follows(X0,X1)
| succeeds(X0,X1) ),
inference(clausification,[status(esa)],[direct_success]) ).
cnf(c1,plain,
( ~ succeeds(X2,X1)
| ~ succeeds(X0,X2)
| succeeds(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_success]) ).
cnf(c2,plain,
( ~ labels(X2,X0)
| ~ has(X1,goto(X2))
| succeeds(X0,X1) ),
inference(clausification,[status(esa)],[goto_success]) ).
cnf(c7,plain,
labels(loop,p3),
inference(clausification,[status(esa)],[label_state_3]) ).
cnf(c12,plain,
follows(p6,p3),
inference(clausification,[status(esa)],[transition_3_to_6]) ).
cnf(c14,plain,
follows(p7,p6),
inference(clausification,[status(esa)],[transition_6_to_7]) ).
cnf(c16,plain,
follows(p8,p7),
inference(clausification,[status(esa)],[transition_7_to_8]) ).
cnf(c17,plain,
has(p8,goto(loop)),
inference(clausification,[status(esa)],[state_8]) ).
cnf(c18,plain,
~ succeeds(p3,p3),
inference(clausification,[status(esa)],[prove_there_is_a_loop_through_p3]) ).
cnf(d0,plain,
( ~ labels(loop,X0)
| succeeds(X0,p8) ),
inference(resolution,[status(thm)],[c17,c2]) ).
cnf(d1,plain,
succeeds(p3,p8),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( succeeds(p3,X0)
| ~ succeeds(p8,X0) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
succeeds(p8,p7),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(d4,plain,
( succeeds(p8,X0)
| ~ succeeds(p7,X0) ),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
succeeds(p6,p3),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d6,plain,
succeeds(p7,p6),
inference(resolution,[status(thm)],[c14,c0]) ).
cnf(d7,plain,
( succeeds(p7,X0)
| ~ succeeds(p6,X0) ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
succeeds(p7,p3),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
succeeds(p8,p3),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
succeeds(p3,p3),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c18,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.34 % Computer : n020.cluster.edu
% 0.05/0.34 % Model : x86_64 x86_64
% 0.05/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.34 % Memory : 8046.5625MB
% 0.05/0.34 % OS : Linux 6.8.0-71-generic
% 0.05/0.34 % CPULimit : 300
% 0.05/0.34 % WCLimit : 300
% 0.05/0.34 % DateTime : Sat Sep 26 23:19:49 UTC 2026
% 0.05/0.34 % CPUTime :
% 0.05/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.74/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 9.74/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------