%------------------------------------------------------------------------------
% 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 : n016.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 : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 66 unt; 1 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 88 ( 88 !; 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(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(sk1,top) != top,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
join(sk1,top) != top,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f29,definition,
sF0_fnc = join(sk1,top),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f30,plain,
sF0_fnc != top,
inference(definition_folding,[],[f28,f29]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f31]) ).
fof(f33,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f32]) ).
fof(f40,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f43,plain,
! [X0] : join(sk1,join(top,X0)) = join(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f29,f16]) ).
fof(f44,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f52,plain,
join(sk1,top) = join(sF0_fnc,complement(top)),
inference(paramodulation,[status(thm)],[f26,f43]) ).
fof(f53,plain,
! [X0] : join(sk1,join(X0,top)) = join(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f15,f43]) ).
fof(f56,plain,
sF0_fnc = join(sF0_fnc,complement(top)),
inference(forward_demodulation,[status(thm)],[f29,f52]) ).
fof(f62,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f26,f44]) ).
fof(f63,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f15,f44]) ).
fof(f71,plain,
! [X0] : join(sk1,join(X0,top)) = join(sF0_fnc,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f62,f43]) ).
fof(f73,plain,
! [X0] : join(sF0_fnc,X0) = join(sF0_fnc,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f53,f71]) ).
fof(f76,plain,
join(top,top) = join(sF0_fnc,complement(sk1)),
inference(paramodulation,[status(thm)],[f44,f53]) ).
fof(f88,plain,
! [X0] : join(sF0_fnc,join(complement(sk1),X0)) = join(join(top,top),X0),
inference(paramodulation,[status(thm)],[f76,f16]) ).
fof(f89,plain,
! [X0] : join(sF0_fnc,join(complement(sk1),X0)) = join(top,join(top,X0)),
inference(forward_demodulation,[status(thm)],[f16,f88]) ).
fof(f91,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f34]) ).
fof(f96,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f91]) ).
fof(f98,plain,
! [X0] : join(top,X0) = join(top,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f96,f44]) ).
fof(f104,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f34,f63]) ).
fof(f120,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f104]) ).
fof(f121,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f40,f120]) ).
fof(f122,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(backward_demodulation,[status(thm)],[f123,f98]) ).
fof(f123,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f44,f121]) ).
fof(f132,plain,
! [X0,X1] : join(sk1,join(top,X0)) = join(sF0_fnc,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f123,f43]) ).
fof(f133,plain,
! [X0,X1,X2] : join(top,join(meet(X0,X1),X2)) = join(join(top,X1),X2),
inference(paramodulation,[status(thm)],[f123,f16]) ).
fof(f134,plain,
! [X0,X1] : join(sF0_fnc,X0) = join(sF0_fnc,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f43,f132]) ).
fof(f135,plain,
! [X0,X1,X2] : join(top,join(meet(X0,X1),X2)) = join(top,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f16,f133]) ).
fof(f170,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,composition(converse(X1),complement(composition(X1,X0)))),
inference(paramodulation,[status(thm)],[f33,f44]) ).
fof(f173,plain,
! [X0,X1] : top = join(top,composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f26,f170]) ).
fof(f244,plain,
! [X0] : join(sF0_fnc,complement(X0)) = join(sF0_fnc,zero),
inference(paramodulation,[status(thm)],[f27,f134]) ).
fof(f245,plain,
! [X0] : join(top,complement(X0)) = join(top,zero),
inference(paramodulation,[status(thm)],[f27,f123]) ).
fof(f249,plain,
! [X0] : join(sF0_fnc,X0) = join(zero,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f251,f73]) ).
fof(f250,plain,
sF0_fnc = join(zero,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f251,f56]) ).
fof(f251,plain,
! [X0] : join(sF0_fnc,complement(X0)) = join(zero,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f15,f244]) ).
fof(f252,plain,
! [X0] : join(top,X0) = join(zero,top),
inference(backward_demodulation,[status(thm)],[f254,f122]) ).
fof(f254,plain,
! [X0] : join(top,complement(X0)) = join(zero,top),
inference(forward_demodulation,[status(thm)],[f15,f245]) ).
fof(f262,plain,
! [X0] : join(zero,sF0_fnc) = join(top,join(top,X0)),
inference(backward_demodulation,[status(thm)],[f249,f89]) ).
fof(f272,plain,
! [X0] : join(top,X0) = join(zero,top),
inference(backward_demodulation,[status(thm)],[f252,f123]) ).
fof(f276,plain,
top = join(zero,top),
inference(backward_demodulation,[status(thm)],[f252,f173]) ).
fof(f278,plain,
! [X0,X1] : join(zero,top) = join(top,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f252,f135]) ).
fof(f298,plain,
! [X0] : sF0_fnc = join(top,join(top,X0)),
inference(forward_demodulation,[status(thm)],[f250,f262]) ).
fof(f301,plain,
sF0_fnc = join(zero,top),
inference(forward_demodulation,[status(thm)],[f252,f298]) ).
fof(f312,plain,
! [X0] : join(top,X0) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f301,f272]) ).
fof(f321,plain,
! [X0,X1] : top = join(top,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f276,f278]) ).
fof(f322,plain,
top = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f312,f321]) ).
fof(f323,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f322,f30]) ).
%------------------------------------------------------------------------------
%----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
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:02:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.044219 seconds
% 0.14/0.42 % CPU time: 0.212964 seconds
% 0.14/0.42 % Total memory used: 8.547 MB
% 0.14/0.42 % Net memory used: 8.461 MB
%------------------------------------------------------------------------------