%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL002+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 02:03:09 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 69 unt; 1 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 91 ( 90 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0] : join(X0,top) = top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] : join(X0,top) = top,
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
? [X0] : join(X0,top) != top,
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
join(sK0_skl,top) != top,
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f29]) ).
fof(f31,plain,
join(sK0_skl,top) != top,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,definition,
sF0_fnc = join(sK0_skl,top),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f33,plain,
sF0_fnc != top,
inference(definition_folding,[],[f31,f32]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f34]) ).
fof(f36,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f37,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f35]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f46,plain,
! [X0] : join(sK0_skl,join(top,X0)) = join(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f32,f17]) ).
fof(f47,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f55,plain,
join(sK0_skl,top) = join(sF0_fnc,complement(top)),
inference(paramodulation,[status(thm)],[f27,f46]) ).
fof(f56,plain,
! [X0] : join(sK0_skl,join(X0,top)) = join(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f16,f46]) ).
fof(f59,plain,
sF0_fnc = join(sF0_fnc,complement(top)),
inference(forward_demodulation,[status(thm)],[f32,f55]) ).
fof(f65,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f27,f47]) ).
fof(f66,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f16,f47]) ).
fof(f74,plain,
! [X0] : join(sK0_skl,join(X0,top)) = join(sF0_fnc,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f65,f46]) ).
fof(f76,plain,
! [X0] : join(sF0_fnc,X0) = join(sF0_fnc,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f56,f74]) ).
fof(f79,plain,
join(top,top) = join(sF0_fnc,complement(sK0_skl)),
inference(paramodulation,[status(thm)],[f47,f56]) ).
fof(f91,plain,
! [X0] : join(sF0_fnc,join(complement(sK0_skl),X0)) = join(join(top,top),X0),
inference(paramodulation,[status(thm)],[f79,f17]) ).
fof(f92,plain,
! [X0] : join(sF0_fnc,join(complement(sK0_skl),X0)) = join(top,join(top,X0)),
inference(forward_demodulation,[status(thm)],[f17,f91]) ).
fof(f94,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f37]) ).
fof(f99,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f94]) ).
fof(f101,plain,
! [X0] : join(top,X0) = join(top,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f99,f47]) ).
fof(f107,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f37,f66]) ).
fof(f123,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f107]) ).
fof(f124,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f43,f123]) ).
fof(f125,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(backward_demodulation,[status(thm)],[f126,f101]) ).
fof(f126,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f47,f124]) ).
fof(f135,plain,
! [X0,X1] : join(sK0_skl,join(top,X0)) = join(sF0_fnc,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f126,f46]) ).
fof(f136,plain,
! [X0,X1,X2] : join(top,join(meet(X0,X1),X2)) = join(join(top,X1),X2),
inference(paramodulation,[status(thm)],[f126,f17]) ).
fof(f137,plain,
! [X0,X1] : join(sF0_fnc,X0) = join(sF0_fnc,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f46,f135]) ).
fof(f138,plain,
! [X0,X1,X2] : join(top,join(meet(X0,X1),X2)) = join(top,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f17,f136]) ).
fof(f173,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,composition(converse(X1),complement(composition(X1,X0)))),
inference(paramodulation,[status(thm)],[f36,f47]) ).
fof(f176,plain,
! [X0,X1] : top = join(top,composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f27,f173]) ).
fof(f247,plain,
! [X0] : join(sF0_fnc,complement(X0)) = join(sF0_fnc,zero),
inference(paramodulation,[status(thm)],[f28,f137]) ).
fof(f248,plain,
! [X0] : join(top,complement(X0)) = join(top,zero),
inference(paramodulation,[status(thm)],[f28,f126]) ).
fof(f252,plain,
! [X0] : join(sF0_fnc,X0) = join(zero,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f254,f76]) ).
fof(f253,plain,
sF0_fnc = join(zero,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f254,f59]) ).
fof(f254,plain,
! [X0] : join(sF0_fnc,complement(X0)) = join(zero,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f16,f247]) ).
fof(f255,plain,
! [X0] : join(top,X0) = join(zero,top),
inference(backward_demodulation,[status(thm)],[f257,f125]) ).
fof(f257,plain,
! [X0] : join(top,complement(X0)) = join(zero,top),
inference(forward_demodulation,[status(thm)],[f16,f248]) ).
fof(f265,plain,
! [X0] : join(zero,sF0_fnc) = join(top,join(top,X0)),
inference(backward_demodulation,[status(thm)],[f252,f92]) ).
fof(f275,plain,
! [X0] : join(top,X0) = join(zero,top),
inference(backward_demodulation,[status(thm)],[f255,f126]) ).
fof(f279,plain,
top = join(zero,top),
inference(backward_demodulation,[status(thm)],[f255,f176]) ).
fof(f281,plain,
! [X0,X1] : join(zero,top) = join(top,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f255,f138]) ).
fof(f300,plain,
! [X0] : sF0_fnc = join(top,join(top,X0)),
inference(forward_demodulation,[status(thm)],[f253,f265]) ).
fof(f303,plain,
sF0_fnc = join(zero,top),
inference(forward_demodulation,[status(thm)],[f255,f300]) ).
fof(f314,plain,
! [X0] : join(top,X0) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f303,f275]) ).
fof(f324,plain,
! [X0,X1] : top = join(top,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f279,f281]) ).
fof(f325,plain,
top = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f314,f324]) ).
fof(f326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f325,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:00:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.036872 seconds
% 0.10/0.41 % CPU time: 0.118807 seconds
% 0.10/0.41 % Total memory used: 4.005 MB
% 0.10/0.41 % Net memory used: 3.948 MB
%------------------------------------------------------------------------------