%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL008-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 02:34:40 PM UTC 2026
% Result : Unsatisfiable 9.48s 6.95s
% Output : CNFRefutation 9.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 3 RR)
% Number of literals : 25 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t10,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t23,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t10]) ).
cnf(t6,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t26,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t6]) ).
cnf(t29,plain,
composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(cp,[status(thm)],[t23,t26]) ).
cnf(t4,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t42,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t1798,plain,
composition(join(X2,converse(X1)),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(step,[status(thm)],[t29,t42]) ).
cnf(t1799,plain,
composition(join(X2,converse(X1)),converse(X3)) = join(composition(X2,converse(X3)),converse(composition(X3,X1))),
inference(step,[status(thm)],[t1798,t42]) ).
cnf(t1512,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(orient,[status(thm)],[t1799]) ).
cnf(t1518,plain,
composition(join(converse(X1),converse(X2)),converse(X3)) = join(converse(composition(X3,X1)),converse(composition(X3,X2))),
inference(cp,[status(thm)],[t1512,t26]) ).
cnf(t7,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t69,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t7]) ).
cnf(t1800,plain,
composition(converse(join(X1,X2)),converse(X3)) = join(converse(composition(X3,X1)),converse(composition(X3,X2))),
inference(step,[status(thm)],[t1518,t69]) ).
cnf(t1801,plain,
converse(composition(X3,join(X1,X2))) = join(converse(composition(X3,X1)),converse(composition(X3,X2))),
inference(step,[status(thm)],[t1800,t26]) ).
cnf(t1802,plain,
converse(composition(X3,join(X1,X2))) = converse(join(composition(X3,X1),composition(X3,X2))),
inference(step,[status(thm)],[t1801,t69]) ).
cnf(t1559,plain,
converse(join(composition(X1,X2),composition(X1,X3))) = converse(composition(X1,join(X2,X3))),
inference(orient,[status(thm)],[t1802]) ).
cnf(t1611,plain,
join(composition(X1,X2),composition(X1,X3)) = converse(converse(composition(X1,join(X2,X3)))),
inference(cp,[status(thm)],[t20,t1559]) ).
cnf(t1803,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(step,[status(thm)],[t1611,t20]) ).
cnf(t1639,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(orient,[status(thm)],[t1803]) ).
cnf(goal_0,negated_conjecture,
join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(rw,[status(thm)],[goal_0,t1639]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL008-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.39 % Computer : n008.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Thu Sep 24 07:09:50 UTC 2026
% 0.14/5.40 % CPUTime :
% 0.14/5.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.48/6.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.48/6.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------