%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL024-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Thu Sep 24 02:03:19 PM UTC 2026
% Result : Unsatisfiable 9.81s 11.82s
% Output : CNFRefutation 9.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f45,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f18,f20]) ).
fof(f46,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f21,f45]) ).
fof(f47,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f18,f28]) ).
fof(f48,plain,
join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
inference(forward_demodulation,[status(thm)],[f18,f34]) ).
fof(f49,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f18,f46]) ).
fof(f58,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f59,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f86,plain,
! [X0,X1,X2] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
inference(paramodulation,[status(thm)],[f59,f26]) ).
fof(f87,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f210,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f49,f19]) ).
fof(f340,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f27,f24]) ).
fof(f430,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f23,f59]) ).
fof(f438,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f25,f430]) ).
fof(f459,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f23,f438]) ).
fof(f460,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f438,f47]) ).
fof(f472,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f459,f438]) ).
fof(f495,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f472,f460]) ).
fof(f591,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f615,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f591]) ).
fof(f1077,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f495,f210]) ).
fof(f1127,plain,
! [X0,X1] : X0 = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f49,f1077]) ).
fof(f1179,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f1127]) ).
fof(f1988,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f615,f1179]) ).
fof(f12293,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(composition(converse(converse(X2)),X0),converse(converse(composition(X2,X1)))),
inference(paramodulation,[status(thm)],[f340,f86]) ).
fof(f12402,plain,
! [X0,X1,X2] : composition(X0,converse(join(converse(X1),converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f58,f12293]) ).
fof(f12403,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f87,f12402]) ).
fof(f12404,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f25,f12403]) ).
fof(f12405,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f25,f12404]) ).
fof(f12406,plain,
composition(meet(sk1,converse(sk2)),join(sk3,meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
inference(backward_demodulation,[status(thm)],[f12411,f48]) ).
fof(f12411,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f12405]) ).
fof(f12540,plain,
composition(meet(sk1,converse(sk2)),sk3) != composition(meet(sk1,converse(sk2)),sk3),
inference(forward_demodulation,[status(thm)],[f1988,f12406]) ).
fof(f12541,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f12540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL024-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.54 % Computer : n007.cluster.edu
% 0.09/10.54 % Model : x86_64 x86_64
% 0.09/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.54 % Memory : 8046.5625MB
% 0.09/10.54 % OS : Linux 6.8.0-71-generic
% 0.09/10.54 % CPULimit : 300
% 0.09/10.54 % WCLimit : 300
% 0.09/10.54 % DateTime : Mon Sep 21 03:59:46 UTC 2026
% 0.09/10.54 % CPUTime :
% 0.09/10.55 % Drodi V4.1.1
% 9.81/11.82 % Refutation found
% 9.81/11.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.81/11.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.81/11.87 % Elapsed time: 1.314313 seconds
% 9.81/11.87 % CPU time: 10.325570 seconds
% 9.81/11.87 % Total memory used: 208.489 MB
% 9.81/11.87 % Net memory used: 203.322 MB
%------------------------------------------------------------------------------