%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 02:34:39 PM UTC 2026
% Result : Unsatisfiable 9.33s 1.54s
% Output : CNFRefutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 6 RR)
% Number of literals : 33 ( 32 equ; 3 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t12,axiom,
sF0 = composition(sk1,sk2),
introduced(definition) ).
cnf(t19,plain,
composition(sk1,sk2) = sF0,
inference(orient,[status(thm)],[t12]) ).
cnf(t5,axiom,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
inference(orient,[status(thm)],[t5]) ).
cnf(t1,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
converse(converse(X1)) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t25,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(cp,[status(thm)],[t23,t18]) ).
cnf(t55,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(orient,[status(thm)],[t25]) ).
cnf(t6,axiom,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
inference(orient,[status(thm)],[t6]) ).
cnf(t27,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(cp,[status(thm)],[t26,t18]) ).
cnf(t89,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(orient,[status(thm)],[t27]) ).
cnf(t96,plain,
composition(converse(X1),join(converse(X2),X3)) = converse(composition(join(X2,converse(X3)),X1)),
inference(cp,[status(thm)],[t55,t89]) ).
cnf(t1679,plain,
converse(composition(join(X1,converse(X2)),X3)) = composition(converse(X3),join(converse(X1),X2)),
inference(orient,[status(thm)],[t96]) ).
cnf(t9,axiom,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t105,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
inference(orient,[status(thm)],[t9]) ).
cnf(t110,plain,
composition(join(converse(X1),X2),converse(X3)) = join(converse(composition(X3,X1)),composition(X2,converse(X3))),
inference(cp,[status(thm)],[t105,t23]) ).
cnf(t1900,plain,
join(converse(composition(X1,X2)),composition(X3,converse(X1))) = composition(join(converse(X2),X3),converse(X1)),
inference(orient,[status(thm)],[t110]) ).
cnf(t1901,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF0),composition(X1,converse(sk1))),
inference(cp,[status(thm)],[t1900,t19]) ).
cnf(t8299,plain,
composition(join(converse(sk2),X1),converse(sk1)) = join(converse(sF0),composition(X1,converse(sk1))),
inference(orient,[status(thm)],[t1901]) ).
cnf(t8336,plain,
composition(converse(converse(sk1)),join(converse(converse(sk2)),X1)) = converse(join(converse(sF0),composition(converse(X1),converse(sk1)))),
inference(cp,[status(thm)],[t1679,t8299]) ).
cnf(t8958,plain,
composition(sk1,join(converse(converse(sk2)),X1)) = converse(join(converse(sF0),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t8336,t18]) ).
cnf(t8959,plain,
composition(sk1,join(sk2,X1)) = converse(join(converse(sF0),composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t8958,t18]) ).
cnf(t8960,plain,
composition(sk1,join(sk2,X1)) = join(sF0,converse(composition(converse(X1),converse(sk1)))),
inference(step,[status(thm)],[t8959,t89]) ).
cnf(t24,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(cp,[status(thm)],[t23,t18]) ).
cnf(t50,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(orient,[status(thm)],[t24]) ).
cnf(t8961,plain,
composition(sk1,join(sk2,X1)) = join(sF0,composition(sk1,converse(converse(X1)))),
inference(step,[status(thm)],[t8960,t50]) ).
cnf(t8962,plain,
composition(sk1,join(sk2,X1)) = join(sF0,composition(sk1,X1)),
inference(step,[status(thm)],[t8961,t18]) ).
cnf(t8620,plain,
composition(sk1,join(sk2,X1)) = join(sF0,composition(sk1,X1)),
inference(orient,[status(thm)],[t8962]) ).
cnf(goal_0,negated_conjecture,
join(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(sF0,composition(sk1,sk3)) != composition(sk1,join(sk2,sk3)),
inference(rw,[status(thm)],[goal_0,t19]) ).
cnf(g0_1,plain,
join(sF0,composition(sk1,sk3)) != join(sF0,composition(sk1,sk3)),
inference(rw,[status(thm)],[g0_0,t8620]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Thu Sep 24 07:09:50 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.33/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.33/1.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------