%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:03:28 PM UTC 2026
% Result : Unsatisfiable 128.25s 16.71s
% Output : CNFRefutation 129.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 16
% Syntax : Number of formulae : 184 ( 184 unt; 2 def)
% Number of atoms : 184 ( 183 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 257 ( 257 !; 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(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
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(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,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(sk1,sk3) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f29,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f30,plain,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f31,plain,
join(sk1,sk3) = sk3,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f32,plain,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f33,definition,
sF1_fnc = meet(sk2,sk3),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f34,definition,
sF0_fnc = join(sk1,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f35,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f32,f34,f33]) ).
fof(f36,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f17,f19]) ).
fof(f37,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f17,f27]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f20,f36]) ).
fof(f39,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f17,f38]) ).
fof(f46,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f47,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f28,f20]) ).
fof(f48,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f17,f20]) ).
fof(f50,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f20,f20]) ).
fof(f54,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f29,f47]) ).
fof(f56,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f54,f20]) ).
fof(f61,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f17,f56]) ).
fof(f73,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f189,plain,
! [X0] : join(sk1,join(sk3,X0)) = join(sk3,X0),
inference(paramodulation,[status(thm)],[f31,f18]) ).
fof(f190,plain,
! [X0] : join(sk1,join(sF1_fnc,X0)) = join(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f34,f18]) ).
fof(f191,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f28,f18]) ).
fof(f193,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f196,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f207,plain,
! [X0] : join(sk1,join(X0,sk3)) = join(sk3,X0),
inference(paramodulation,[status(thm)],[f17,f189]) ).
fof(f233,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f29,f39]) ).
fof(f234,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f39]) ).
fof(f236,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f28,f39]) ).
fof(f246,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f17,f234]) ).
fof(f251,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f236]) ).
fof(f252,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f54,f251]) ).
fof(f254,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f20,f233]) ).
fof(f256,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f20,f48]) ).
fof(f264,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(meet(X1,X2),complement(X0))),
inference(paramodulation,[status(thm)],[f20,f48]) ).
fof(f271,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f48,f39]) ).
fof(f289,plain,
sF1_fnc = meet(sk3,sk2),
inference(backward_demodulation,[status(thm)],[f256,f33]) ).
fof(f293,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f17,f271]) ).
fof(f316,plain,
! [X0] : join(zero,complement(X0)) = join(zero,meet(join(zero,complement(X0)),complement(meet(X0,top)))),
inference(paramodulation,[status(thm)],[f61,f252]) ).
fof(f318,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f20,f252]) ).
fof(f320,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f256,f318]) ).
fof(f322,plain,
! [X0] : join(zero,complement(X0)) = join(zero,meet(complement(meet(X0,top)),join(zero,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f256,f316]) ).
fof(f323,plain,
! [X0,X1] : meet(join(complement(X0),complement(X1)),join(complement(X0),X1)) = complement(X0),
inference(paramodulation,[status(thm)],[f39,f50]) ).
fof(f335,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),join(zero,complement(X2))) = complement(join(meet(X0,X1),meet(X2,top))),
inference(paramodulation,[status(thm)],[f61,f50]) ).
fof(f356,plain,
! [X0,X1] : meet(join(complement(X0),X1),join(complement(X0),complement(X1))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f256,f323]) ).
fof(f370,plain,
sk3 = join(sF1_fnc,meet(sk3,complement(sk2))),
inference(paramodulation,[status(thm)],[f289,f246]) ).
fof(f376,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f256,f246]) ).
fof(f384,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(meet(X0,complement(X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f246,f18]) ).
fof(f392,plain,
join(sk1,sk3) = join(sF0_fnc,meet(sk3,complement(sk2))),
inference(paramodulation,[status(thm)],[f370,f190]) ).
fof(f394,plain,
sk3 = join(sF0_fnc,meet(sk3,complement(sk2))),
inference(forward_demodulation,[status(thm)],[f31,f392]) ).
fof(f514,plain,
sk2 = join(sF1_fnc,meet(sk2,complement(sk3))),
inference(paramodulation,[status(thm)],[f289,f293]) ).
fof(f542,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f29,f376]) ).
fof(f560,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f17,f542]) ).
fof(f561,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f256,f560]) ).
fof(f565,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f252,f561]) ).
fof(f569,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f22,f46]) ).
fof(f589,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f24,f569]) ).
fof(f597,plain,
! [X0] : complement(meet(X0,top)) = join(zero,complement(X0)),
inference(paramodulation,[status(thm)],[f61,f565]) ).
fof(f598,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f48,f565]) ).
fof(f599,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f20,f565]) ).
fof(f605,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f565,f48]) ).
fof(f613,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = meet(X2,complement(meet(X0,X1))),
inference(backward_demodulation,[status(thm)],[f605,f50]) ).
fof(f625,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = meet(X0,complement(meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f605,f264]) ).
fof(f632,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),complement(meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f625,f320]) ).
fof(f640,plain,
! [X0,X1] : meet(join(complement(X0),X1),complement(meet(X0,X1))) = complement(X0),
inference(backward_demodulation,[status(thm)],[f625,f356]) ).
fof(f666,plain,
! [X0,X1,X2] : meet(complement(meet(X0,X1)),join(zero,complement(X2))) = complement(join(meet(X1,X0),meet(X2,top))),
inference(backward_demodulation,[status(thm)],[f598,f335]) ).
fof(f679,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(zero,meet(complement(meet(X1,X0)),complement(meet(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f598,f632]) ).
fof(f680,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f254,f679]) ).
fof(f684,plain,
! [X0,X1] : meet(complement(meet(X0,X1)),join(complement(X0),X1)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f256,f640]) ).
fof(f690,plain,
! [X0,X1,X2] : meet(complement(meet(X0,X1)),X2) = meet(X2,complement(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f598,f613]) ).
fof(f694,plain,
! [X0] : join(zero,complement(X0)) = join(zero,complement(join(meet(top,X0),meet(X0,top)))),
inference(backward_demodulation,[status(thm)],[f666,f322]) ).
fof(f709,plain,
! [X0] : join(zero,complement(X0)) = complement(meet(join(meet(top,X0),meet(X0,top)),top)),
inference(backward_demodulation,[status(thm)],[f597,f694]) ).
fof(f726,plain,
! [X0] : complement(meet(X0,top)) = complement(meet(join(meet(top,X0),meet(X0,top)),top)),
inference(forward_demodulation,[status(thm)],[f597,f709]) ).
fof(f727,plain,
! [X0] : complement(meet(X0,top)) = complement(meet(top,join(meet(top,X0),meet(X0,top)))),
inference(forward_demodulation,[status(thm)],[f680,f726]) ).
fof(f766,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f73,f589]) ).
fof(f768,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f589,f37]) ).
fof(f782,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f589,f766]) ).
fof(f783,plain,
! [X0] : complement(meet(X0,composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f599,f768]) ).
fof(f785,plain,
! [X0] : complement(meet(X0,X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f782,f783]) ).
fof(f870,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f785,f565]) ).
fof(f878,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f887,f254]) ).
fof(f887,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f565,f870]) ).
fof(f905,plain,
! [X0] : complement(meet(X0,top)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f878,f597]) ).
fof(f907,plain,
! [X0] : complement(X0) = complement(meet(top,join(meet(top,X0),meet(X0,top)))),
inference(backward_demodulation,[status(thm)],[f905,f727]) ).
fof(f1047,plain,
join(sF0_fnc,sk3) = join(sk3,sF1_fnc),
inference(paramodulation,[status(thm)],[f190,f207]) ).
fof(f1061,plain,
join(sk3,sF0_fnc) = join(sk3,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f17,f1047]) ).
fof(f1069,plain,
! [X0] : complement(meet(top,X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f256,f905]) ).
fof(f1071,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(paramodulation,[status(thm)],[f905,f565]) ).
fof(f1085,plain,
! [X0] : complement(X0) = complement(meet(top,join(meet(top,X0),X0))),
inference(backward_demodulation,[status(thm)],[f1090,f907]) ).
fof(f1090,plain,
! [X0] : X0 = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f565,f1071]) ).
fof(f1110,plain,
! [X0] : complement(X0) = complement(join(meet(top,X0),X0)),
inference(forward_demodulation,[status(thm)],[f1069,f1085]) ).
fof(f1111,plain,
! [X0] : complement(X0) = complement(join(X0,meet(top,X0))),
inference(forward_demodulation,[status(thm)],[f17,f1110]) ).
fof(f1118,plain,
! [X0] : X0 = meet(top,X0),
inference(paramodulation,[status(thm)],[f256,f1090]) ).
fof(f1137,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[status(thm)],[f1118,f1111]) ).
fof(f1188,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(paramodulation,[status(thm)],[f1137,f565]) ).
fof(f1193,plain,
! [X0] : top = join(join(X0,X0),complement(X0)),
inference(paramodulation,[status(thm)],[f1137,f28]) ).
fof(f1201,plain,
! [X0] : X0 = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f565,f1188]) ).
fof(f1211,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f18,f1193]) ).
fof(f1212,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[status(thm)],[f28,f1211]) ).
fof(f1311,plain,
join(sk1,sk2) = join(sF0_fnc,meet(sk2,complement(sk3))),
inference(paramodulation,[status(thm)],[f514,f190]) ).
fof(f1313,plain,
sk2 = join(sF0_fnc,meet(sk2,complement(sk3))),
inference(forward_demodulation,[status(thm)],[f30,f1311]) ).
fof(f1331,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1201,f18]) ).
fof(f1354,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f1212,f17]) ).
fof(f1364,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(backward_demodulation,[status(thm)],[f1354,f191]) ).
fof(f2474,plain,
join(sk3,join(sk3,sF0_fnc)) = join(sk3,sF1_fnc),
inference(paramodulation,[status(thm)],[f1061,f1331]) ).
fof(f2484,plain,
join(sF0_fnc,sk3) = join(sF0_fnc,meet(sk3,complement(sk2))),
inference(paramodulation,[status(thm)],[f394,f1331]) ).
fof(f2488,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f376,f1331]) ).
fof(f2554,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f17,f2488]) ).
fof(f2556,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f376,f2554]) ).
fof(f2578,plain,
join(sk3,sF0_fnc) = join(sF0_fnc,meet(sk3,complement(sk2))),
inference(forward_demodulation,[status(thm)],[f17,f2484]) ).
fof(f2581,plain,
join(sk3,sF0_fnc) = sk3,
inference(forward_demodulation,[status(thm)],[f394,f2578]) ).
fof(f2594,plain,
join(sk3,sF0_fnc) = join(sk3,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f1331,f2474]) ).
fof(f2595,plain,
sk3 = join(sk3,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f2581,f2594]) ).
fof(f4106,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(X1,complement(X0)),
inference(paramodulation,[status(thm)],[f605,f565]) ).
fof(f5190,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = top,
inference(paramodulation,[status(thm)],[f598,f1364]) ).
fof(f5292,plain,
! [X0,X1] : meet(meet(X0,X1),complement(X1)) = complement(top),
inference(paramodulation,[status(thm)],[f5190,f605]) ).
fof(f5305,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = complement(top),
inference(forward_demodulation,[status(thm)],[f256,f5292]) ).
fof(f5306,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(forward_demodulation,[status(thm)],[f54,f5305]) ).
fof(f5345,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(paramodulation,[status(thm)],[f565,f5306]) ).
fof(f5533,plain,
! [X0,X1] : X0 = join(zero,meet(complement(meet(X1,complement(X0))),X0)),
inference(paramodulation,[status(thm)],[f5345,f376]) ).
fof(f5543,plain,
! [X0,X1] : X0 = meet(complement(meet(X1,complement(X0))),X0),
inference(forward_demodulation,[status(thm)],[f878,f5533]) ).
fof(f5544,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f256,f5543]) ).
fof(f5545,plain,
! [X0,X1] : X0 = meet(X0,join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f4106,f5544]) ).
fof(f5576,plain,
! [X0,X1] : X0 = meet(X0,join(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f17,f5545]) ).
fof(f5659,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f565,f5576]) ).
fof(f18114,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f565,f599]) ).
fof(f18154,plain,
! [X0,X1,X2] : join(X0,complement(meet(X1,X2))) = join(complement(X2),join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f599,f196]) ).
fof(f19015,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,complement(X1))) = join(X0,meet(meet(X0,complement(X1)),X2)),
inference(paramodulation,[status(thm)],[f2556,f384]) ).
fof(f19301,plain,
! [X0,X1,X2] : X0 = join(X0,meet(meet(X0,complement(X1)),X2)),
inference(forward_demodulation,[status(thm)],[f246,f19015]) ).
fof(f19749,plain,
! [X0,X1,X2] : X0 = join(X0,meet(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f565,f19301]) ).
fof(f20147,plain,
! [X0,X1,X2] : X0 = join(X0,meet(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f256,f19749]) ).
fof(f20867,plain,
! [X0,X1,X2] : X0 = join(X0,meet(X1,meet(X2,X0))),
inference(paramodulation,[status(thm)],[f256,f20147]) ).
fof(f22030,plain,
! [X0,X1,X2] : join(X0,X1) = join(join(X0,X1),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f5659,f20867]) ).
fof(f22189,plain,
! [X0,X1,X2] : join(X0,X1) = join(X1,join(X0,meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f193,f22030]) ).
fof(f27489,plain,
! [X0,X1] : meet(complement(complement(X0)),join(complement(complement(meet(X0,X1))),join(complement(X0),X1))) = complement(complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f684,f684]) ).
fof(f27610,plain,
! [X0,X1] : meet(complement(meet(complement(X0),X1)),join(X0,X1)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f565,f684]) ).
fof(f27674,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X1,complement(X0)))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f690,f27610]) ).
fof(f27675,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(X1),X0)) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f18114,f27674]) ).
fof(f27677,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f565,f27675]) ).
fof(f27690,plain,
! [X0,X1] : meet(X0,join(complement(complement(meet(X0,X1))),join(complement(X0),X1))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f565,f27489]) ).
fof(f27691,plain,
! [X0,X1] : meet(X0,join(complement(X0),join(X1,complement(complement(meet(X0,X1)))))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f196,f27690]) ).
fof(f27692,plain,
! [X0,X1] : meet(X0,join(X1,complement(meet(complement(meet(X0,X1)),X0)))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18154,f27691]) ).
fof(f27693,plain,
! [X0,X1] : meet(X0,join(X1,complement(meet(X0,complement(meet(X0,X1)))))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f680,f27692]) ).
fof(f27694,plain,
! [X0,X1] : meet(X0,join(X1,join(complement(X0),meet(X0,X1)))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18114,f27693]) ).
fof(f27695,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f22189,f27694]) ).
fof(f27698,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f565,f27695]) ).
fof(f29647,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(complement(X0),X2))) = meet(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f196,f27698]) ).
fof(f33760,plain,
meet(sk2,join(complement(meet(sk2,complement(sk3))),sF1_fnc)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f514,f27677]) ).
fof(f33772,plain,
meet(sk2,join(complement(meet(sk2,complement(sk3))),sF0_fnc)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f1313,f27677]) ).
fof(f34078,plain,
meet(sk2,join(sF0_fnc,complement(meet(sk2,complement(sk3))))) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f17,f33772]) ).
fof(f34079,plain,
meet(sk2,join(sF0_fnc,join(complement(sk2),sk3))) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f18114,f34078]) ).
fof(f34080,plain,
meet(sk2,join(sk3,sF0_fnc)) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f29647,f34079]) ).
fof(f34081,plain,
meet(sk2,sk3) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f2581,f34080]) ).
fof(f34083,plain,
meet(sk3,sk2) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f256,f34081]) ).
fof(f34141,plain,
meet(sk2,join(sF1_fnc,complement(meet(sk2,complement(sk3))))) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f17,f33760]) ).
fof(f34142,plain,
meet(sk2,join(sF1_fnc,join(complement(sk2),sk3))) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f18114,f34141]) ).
fof(f34143,plain,
meet(sk2,join(sk3,sF1_fnc)) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f29647,f34142]) ).
fof(f34144,plain,
meet(sk2,sk3) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f2595,f34143]) ).
fof(f34145,plain,
meet(sk3,sk2) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f256,f34144]) ).
fof(f34146,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f34083,f34145]) ).
fof(f34147,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f34146,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:08:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 128.25/16.71 % Refutation found
% 128.25/16.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 128.25/16.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.21/16.82 % Elapsed time: 16.452255 seconds
% 4.21/16.82 % CPU time: 129.703317 seconds
% 4.21/16.82 % Total memory used: 404.529 MB
% 4.21/16.82 % Net memory used: 390.456 MB
%------------------------------------------------------------------------------