%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:03:10 PM UTC 2026
% Result : Theorem 5.72s 1.29s
% Output : CNFRefutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 17
% Syntax : Number of formulae : 136 ( 136 unt; 4 def)
% Number of atoms : 136 ( 135 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 : 6 ( 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 : 162 ( 161 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
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(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
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] : converse(complement(X0)) != complement(converse(X0)),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
converse(complement(sK0_skl)) != complement(converse(sK0_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f29]) ).
fof(f31,plain,
converse(complement(sK0_skl)) != complement(converse(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,definition,
sF1_fnc = complement(sK0_skl),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f33,definition,
sF0_fnc = converse(sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f34,definition,
sF3_fnc = converse(sK0_skl),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f35,definition,
sF2_fnc = complement(sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f36,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f31,f35,f34,f33,f32]) ).
fof(f44,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f49,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f51,plain,
! [X0] : converse(join(X0,sF1_fnc)) = join(converse(X0),sF0_fnc),
inference(paramodulation,[status(thm)],[f33,f24]) ).
fof(f59,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f206,plain,
! [X0,X1] : X0 = join(complement(join(complement(X1),complement(X0))),complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f207,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f245,plain,
top = join(sK0_skl,sF1_fnc),
inference(paramodulation,[status(thm)],[f32,f27]) ).
fof(f248,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f44]) ).
fof(f375,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f381,plain,
! [X0,X1,X2] : join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f392,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f405,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f19,f18]) ).
fof(f406,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f407,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f415,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f28]) ).
fof(f418,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f406]) ).
fof(f419,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f407]) ).
fof(f426,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f455,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f405]) ).
fof(f461,plain,
! [X0] : sK0_skl = join(meet(sK0_skl,X0),complement(join(sF1_fnc,X0))),
inference(paramodulation,[status(thm)],[f32,f405]) ).
fof(f475,plain,
converse(join(sK0_skl,sF1_fnc)) = join(sF3_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f34,f51]) ).
fof(f498,plain,
converse(top) = join(sF3_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f245,f475]) ).
fof(f508,plain,
converse(top) = join(sF0_fnc,sF3_fnc),
inference(paramodulation,[status(thm)],[f16,f498]) ).
fof(f537,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f16,f455]) ).
fof(f545,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),zero),
inference(paramodulation,[status(thm)],[f28,f455]) ).
fof(f556,plain,
! [X0] : X0 = join(meet(X0,sF3_fnc),meet(X0,sF2_fnc)),
inference(paramodulation,[status(thm)],[f35,f537]) ).
fof(f669,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f419,f537]) ).
fof(f722,plain,
! [X0] : X0 = join(meet(X0,sF3_fnc),meet(sF2_fnc,X0)),
inference(paramodulation,[status(thm)],[f419,f556]) ).
fof(f738,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f59]) ).
fof(f773,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f738]) ).
fof(f937,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f426,f773]) ).
fof(f953,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f773,f937]) ).
fof(f967,plain,
! [X0] : join(composition(converse(one),complement(X0)),complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f953,f26]) ).
fof(f969,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f773,f967]) ).
fof(f1016,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f969,f19]) ).
fof(f1140,plain,
meet(sF3_fnc,sF3_fnc) = complement(sF2_fnc),
inference(paramodulation,[status(thm)],[f35,f1016]) ).
fof(f1151,plain,
! [X0] : X0 = join(meet(X0,meet(X0,X0)),zero),
inference(paramodulation,[status(thm)],[f1016,f545]) ).
fof(f1165,plain,
! [X0] : zero = meet(complement(X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f1016,f28]) ).
fof(f1789,plain,
! [X0] : X0 = join(zero,meet(complement(complement(X0)),X0)),
inference(paramodulation,[status(thm)],[f28,f669]) ).
fof(f1791,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f419,f669]) ).
fof(f2379,plain,
! [X0] : X0 = join(zero,meet(meet(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f1016,f1789]) ).
fof(f2408,plain,
! [X0] : meet(X0,X0) = join(meet(X0,meet(X0,X0)),zero),
inference(paramodulation,[status(thm)],[f1165,f1791]) ).
fof(f2409,plain,
! [X0] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),zero),
inference(paramodulation,[status(thm)],[f28,f1791]) ).
fof(f2429,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1151,f2408]) ).
fof(f2430,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f545,f2409]) ).
fof(f2434,plain,
sF3_fnc = complement(sF2_fnc),
inference(backward_demodulation,[status(thm)],[f2429,f1140]) ).
fof(f2435,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(backward_demodulation,[status(thm)],[f2429,f2379]) ).
fof(f2438,plain,
! [X0] : X0 = join(meet(X0,X0),zero),
inference(backward_demodulation,[status(thm)],[f2429,f1151]) ).
fof(f2502,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f2429,f2435]) ).
fof(f2503,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f2429,f2438]) ).
fof(f2574,plain,
! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f2430,f969]) ).
fof(f2610,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f2430,f2574]) ).
fof(f2611,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f2430,f2610]) ).
fof(f2634,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f2611,f17]) ).
fof(f2845,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f206]) ).
fof(f2898,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f207]) ).
fof(f3742,plain,
! [X0] : join(X0,join(X0,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f2611,f375]) ).
fof(f3799,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f3742]) ).
fof(f4155,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f3799]) ).
fof(f4161,plain,
! [X0] : X0 = join(meet(top,X0),complement(top)),
inference(paramodulation,[status(thm)],[f3799,f2845]) ).
fof(f4179,plain,
! [X0] : X0 = join(meet(top,X0),zero),
inference(forward_demodulation,[status(thm)],[f418,f4161]) ).
fof(f4180,plain,
! [X0] : X0 = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f2503,f4179]) ).
fof(f4391,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(forward_demodulation,[status(thm)],[f19,f381]) ).
fof(f4763,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f4155,f392]) ).
fof(f4781,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f16,f4763]) ).
fof(f4783,plain,
! [X0] : join(sF2_fnc,join(sF3_fnc,X0)) = top,
inference(paramodulation,[status(thm)],[f2434,f4763]) ).
fof(f4801,plain,
! [X0,X1] : X0 = join(meet(join(complement(complement(X0)),X1),X0),complement(top)),
inference(paramodulation,[status(thm)],[f4763,f2845]) ).
fof(f4831,plain,
! [X0,X1] : X0 = join(meet(join(X0,X1),X0),complement(top)),
inference(forward_demodulation,[status(thm)],[f2430,f4801]) ).
fof(f4832,plain,
! [X0,X1] : X0 = join(meet(join(X0,X1),X0),zero),
inference(forward_demodulation,[status(thm)],[f418,f4831]) ).
fof(f4833,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f2503,f4832]) ).
fof(f5177,plain,
join(sF2_fnc,converse(top)) = top,
inference(paramodulation,[status(thm)],[f498,f4783]) ).
fof(f5211,plain,
converse(top) = join(converse(sF2_fnc),top),
inference(paramodulation,[status(thm)],[f5177,f49]) ).
fof(f5218,plain,
converse(top) = top,
inference(forward_demodulation,[status(thm)],[f3799,f5211]) ).
fof(f5227,plain,
top = join(sF0_fnc,sF3_fnc),
inference(backward_demodulation,[status(thm)],[f5218,f508]) ).
fof(f5438,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f16,f4833]) ).
fof(f7396,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1791,f2634]) ).
fof(f7522,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1791,f7396]) ).
fof(f7599,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f7522]) ).
fof(f7881,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f7599,f44]) ).
fof(f7908,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f23,f7881]) ).
fof(f8847,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = top,
inference(paramodulation,[status(thm)],[f4391,f4781]) ).
fof(f12978,plain,
! [X0,X1] : zero = meet(top,meet(X0,meet(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f8847,f415]) ).
fof(f13053,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f4180,f12978]) ).
fof(f14979,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f2430,f13053]) ).
fof(f17551,plain,
! [X0,X1] : zero = meet(complement(join(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f5438,f14979]) ).
fof(f22589,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[status(thm)],[f5218,f248]) ).
fof(f22651,plain,
sK0_skl = join(meet(sK0_skl,converse(complement(converse(sF1_fnc)))),complement(top)),
inference(paramodulation,[status(thm)],[f22589,f461]) ).
fof(f22808,plain,
sK0_skl = join(meet(sK0_skl,converse(complement(sF0_fnc))),complement(top)),
inference(forward_demodulation,[status(thm)],[f33,f22651]) ).
fof(f22809,plain,
sK0_skl = join(meet(sK0_skl,converse(complement(sF0_fnc))),zero),
inference(forward_demodulation,[status(thm)],[f418,f22808]) ).
fof(f22810,plain,
sK0_skl = meet(sK0_skl,converse(complement(sF0_fnc))),
inference(forward_demodulation,[status(thm)],[f2503,f22809]) ).
fof(f25106,plain,
complement(sF0_fnc) = join(complement(sF0_fnc),converse(sK0_skl)),
inference(paramodulation,[status(thm)],[f22810,f7908]) ).
fof(f25147,plain,
complement(sF0_fnc) = join(complement(sF0_fnc),sF3_fnc),
inference(forward_demodulation,[status(thm)],[f34,f25106]) ).
fof(f25202,plain,
zero = meet(complement(complement(sF0_fnc)),sF3_fnc),
inference(paramodulation,[status(thm)],[f25147,f17551]) ).
fof(f25242,plain,
zero = meet(sF0_fnc,sF3_fnc),
inference(forward_demodulation,[status(thm)],[f2430,f25202]) ).
fof(f25249,plain,
sF0_fnc = join(zero,meet(sF2_fnc,sF0_fnc)),
inference(paramodulation,[status(thm)],[f25242,f722]) ).
fof(f25288,plain,
sF0_fnc = meet(sF2_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f2502,f25249]) ).
fof(f26237,plain,
sF2_fnc = join(sF0_fnc,complement(join(sF0_fnc,complement(sF2_fnc)))),
inference(paramodulation,[status(thm)],[f25288,f2898]) ).
fof(f26268,plain,
sF2_fnc = join(sF0_fnc,complement(join(sF0_fnc,sF3_fnc))),
inference(forward_demodulation,[status(thm)],[f2434,f26237]) ).
fof(f26269,plain,
sF2_fnc = join(sF0_fnc,complement(top)),
inference(forward_demodulation,[status(thm)],[f5227,f26268]) ).
fof(f26270,plain,
sF2_fnc = join(sF0_fnc,zero),
inference(forward_demodulation,[status(thm)],[f418,f26269]) ).
fof(f26271,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f2503,f26270]) ).
fof(f26272,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f26271,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:02:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 5.72/1.29 % Refutation found
% 5.72/1.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.72/1.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.62/1.34 % Elapsed time: 0.967960 seconds
% 0.62/1.34 % CPU time: 7.470641 seconds
% 0.62/1.34 % Total memory used: 139.248 MB
% 0.62/1.34 % Net memory used: 134.995 MB
%------------------------------------------------------------------------------