%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL005+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 12:33:38 PM UTC 2026
% Result : Theorem 12.93s 3.02s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 12
% Syntax : Number of formulae : 135 ( 135 unt; 0 def)
% Number of atoms : 135 ( 134 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 214 ( 212 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
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',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f18,plain,
converse(meet(sK0,sK1)) != meet(converse(sK0),converse(sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))),
inference(definition_unfolding,[],[f18,f20,f20]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f19,f20]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f26,f29]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f29]) ).
fof(f36,plain,
zero = complement(top),
inference(forward_demodulation,[],[f33,f25]) ).
fof(f43,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f34,f29]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f34,f34]) ).
fof(f46,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f34,f29]) ).
fof(f47,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f44,f29]) ).
fof(f54,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f23,f24]) ).
fof(f55,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f23,f24]) ).
fof(f93,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f28,f34]) ).
fof(f98,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f29,f28]) ).
fof(f105,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f22,f24]) ).
fof(f126,plain,
top = join(top,zero),
inference(superposition,[],[f25,f36]) ).
fof(f128,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f28,f25]) ).
fof(f130,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f34,f25]) ).
fof(f132,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f55,f25]) ).
fof(f134,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f130,f29]) ).
fof(f135,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f134,f36]) ).
fof(f198,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f35,f24]) ).
fof(f211,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f105,f30]) ).
fof(f213,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f211,f24]) ).
fof(f220,plain,
one = converse(one),
inference(superposition,[],[f30,f213]) ).
fof(f222,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f213,f220]) ).
fof(f573,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f128,f29]) ).
fof(f753,plain,
! [X0] : join(top,zero) = join(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f573,f135]) ).
fof(f781,plain,
! [X0] : join(top,zero) = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f753,f29]) ).
fof(f791,plain,
! [X0] : join(top,complement(X0)) = join(top,zero),
inference(forward_demodulation,[],[f781,f573]) ).
fof(f797,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f791,f126]) ).
fof(f824,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f198,f222]) ).
fof(f827,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),join(complement(X0),complement(composition(X1,complement(composition(converse(X1),X0)))))))),
inference(superposition,[],[f47,f198]) ).
fof(f840,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(composition(X1,complement(composition(converse(X1),X0)))),complement(complement(X0)))))),
inference(forward_demodulation,[],[f827,f98]) ).
fof(f843,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f824,f213]) ).
fof(f846,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(top,complement(composition(X1,complement(composition(converse(X1),X0))))))),
inference(forward_demodulation,[],[f840,f573]) ).
fof(f849,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f846,f797]) ).
fof(f850,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f849,f36]) ).
fof(f851,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f850,f29]) ).
fof(f858,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(superposition,[],[f135,f843]) ).
fof(f864,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f93,f843]) ).
fof(f874,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f864,f34]) ).
fof(f880,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f858,f851]) ).
fof(f929,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f34,f880]) ).
fof(f933,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f43,f880]) ).
fof(f935,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f46,f880]) ).
fof(f944,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f797,f880]) ).
fof(f959,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f935,f29]) ).
fof(f998,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(join(complement(complement(X1)),X0),X1)),complement(join(top,X0))),
inference(superposition,[],[f935,f128]) ).
fof(f1039,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(join(complement(complement(X1)),X0),X1))),
inference(forward_demodulation,[],[f998,f29]) ).
fof(f1087,plain,
! [X0,X1] : complement(join(complement(complement(X1)),X0)) = join(complement(join(top,X0)),complement(join(X1,join(complement(complement(X1)),X0)))),
inference(forward_demodulation,[],[f1039,f29]) ).
fof(f1129,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(top,X0)),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1087,f880]) ).
fof(f1163,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1129,f944]) ).
fof(f1185,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1163,f36]) ).
fof(f1193,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(X1,join(X1,X0))),
inference(forward_demodulation,[],[f1185,f851]) ).
fof(f1684,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),complement(complement(X0))),
inference(superposition,[],[f874,f959]) ).
fof(f1686,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f874,f47]) ).
fof(f1745,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),join(X1,X0)),
inference(forward_demodulation,[],[f1684,f29]) ).
fof(f1767,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f1745,f98]) ).
fof(f1784,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1767,f880]) ).
fof(f1812,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1686,f880]) ).
fof(f1825,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1686,f29]) ).
fof(f1834,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f1686,f132]) ).
fof(f2303,plain,
! [X2,X0,X1] : join(X2,complement(X0)) = join(complement(X0),join(complement(join(X0,X1)),X2)),
inference(superposition,[],[f98,f1812]) ).
fof(f2400,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f933,f935]) ).
fof(f2402,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f933,f929]) ).
fof(f2448,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1))))))),
inference(superposition,[],[f34,f933]) ).
fof(f2489,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(complement(join(X1,X0)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f2448,f880]) ).
fof(f2524,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f2402,f29]) ).
fof(f2526,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f2400,f29]) ).
fof(f2559,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(complement(X1),join(complement(join(X1,X0)),X0)))),
inference(forward_demodulation,[],[f2489,f98]) ).
fof(f2586,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f2524,f880]) ).
fof(f2588,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f2526,f880]) ).
fof(f2617,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2559,f2303]) ).
fof(f2640,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f2586,f28]) ).
fof(f2642,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2588,f28]) ).
fof(f2661,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2617,f880]) ).
fof(f2677,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2640,f1825]) ).
fof(f2679,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f2642,f1686]) ).
fof(f2701,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f2677,f880]) ).
fof(f2703,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2679,f880]) ).
fof(f2712,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2701,f880]) ).
fof(f2714,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2703,f880]) ).
fof(f2736,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f2714,f132]) ).
fof(f2848,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f2736,f1834]) ).
fof(f2896,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f2848,f29]) ).
fof(f3882,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f959,f2896]) ).
fof(f3885,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f55,f2896]) ).
fof(f3887,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3885,f24]) ).
fof(f3890,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3882,f29]) ).
fof(f3915,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3890,f880]) ).
fof(f3930,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = complement(complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f3915,f2661]) ).
fof(f3937,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f3930,f880]) ).
fof(f3941,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3937,f29]) ).
fof(f3944,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3941,f3887]) ).
fof(f4087,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f3944,f880]) ).
fof(f4145,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f24,f4087]) ).
fof(f4147,plain,
! [X0,X1] : join(converse(X1),complement(converse(X0))) = converse(join(X1,complement(X0))),
inference(superposition,[],[f54,f4087]) ).
fof(f4148,plain,
! [X0,X1] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[],[f55,f4087]) ).
fof(f4763,plain,
! [X0,X1] : converse(join(complement(X0),complement(X1))) = join(complement(converse(X0)),complement(converse(X1))),
inference(superposition,[],[f4147,f4145]) ).
fof(f5159,plain,
! [X0,X1] : converse(complement(join(X0,X1))) = complement(converse(join(X0,join(X0,X1)))),
inference(superposition,[],[f4145,f1193]) ).
fof(f5160,plain,
! [X0,X1] : complement(converse(join(X1,X0))) = converse(complement(join(X0,X1))),
inference(forward_demodulation,[],[f5159,f1784]) ).
fof(f5221,plain,
! [X0,X1] : complement(converse(join(X0,X1))) = complement(converse(join(X1,X0))),
inference(forward_demodulation,[],[f5160,f4145]) ).
fof(f6430,plain,
! [X0,X1] : join(complement(converse(X1)),complement(converse(X0))) = join(complement(converse(X0)),complement(converse(join(complement(X0),X1)))),
inference(superposition,[],[f2714,f4148]) ).
fof(f6443,plain,
! [X0,X1] : join(complement(converse(X1)),complement(converse(X0))) = converse(join(complement(X0),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f6430,f4763]) ).
fof(f6492,plain,
! [X0,X1] : converse(join(complement(X0),complement(X1))) = join(complement(converse(X1)),complement(converse(X0))),
inference(forward_demodulation,[],[f6443,f2712]) ).
fof(f6593,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK1),complement(sK0)))),
inference(superposition,[],[f32,f6492]) ).
fof(f6681,plain,
converse(complement(join(complement(sK0),complement(sK1)))) != complement(converse(join(complement(sK0),complement(sK1)))),
inference(forward_demodulation,[],[f6593,f5221]) ).
fof(f6747,plain,
$false,
inference(forward_subsumption_resolution,[],[f6681,f4145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL005+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 22:52:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.93/3.02 % (3973189)Detected formulas, will run a generic FOF schedule.
% 12.93/3.02 % (3973205)dis-21_1_sil=8000:lcm=predicate:random_seed=2308701644:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 12.93/3.02 % (3973205)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973205)------------------------------
% 12.93/3.02 % (3973205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973205)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973205)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973205)Time elapsed: 0.001 s
% 12.93/3.02 % (3973205)Peak memory usage: 88 MB
% 12.93/3.02 % (3973205)Instructions burned: 1 (million)
% 12.93/3.02 % (3973204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2640865632:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 12.93/3.02 % (3973200)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=624442116:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 12.93/3.02 % (3973199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2498395353:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 12.93/3.02 % (3973203)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3057262921:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 12.93/3.02 % (3973202)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3646658570:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 12.93/3.02 % (3973201)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=544569691:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 12.93/3.02 % (3973202)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973202)------------------------------
% 12.93/3.02 % (3973202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973202)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973202)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973202)Time elapsed: 0.002 s
% 12.93/3.02 % (3973202)Peak memory usage: 88 MB
% 12.93/3.02 % (3973205)------------------------------
% 12.93/3.02 % (3973205)------------------------------
% 12.93/3.02 % (3973203)Instruction limit reached!
% 12.93/3.02 % (3973203)------------------------------
% 12.93/3.02 % (3973203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973203)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973203)Termination reason: Instruction limit
% 12.93/3.02 % (3973203)Termination phase: Saturation
% 12.93/3.02 % (3973203)Time elapsed: 0.098 s
% 12.93/3.02 % (3973203)Peak memory usage: 88 MB
% 12.93/3.02 % (3973203)Instructions burned: 120 (million)
% 12.93/3.02 % (3973204)Instruction limit reached!
% 12.93/3.02 % (3973204)------------------------------
% 12.93/3.02 % (3973204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973204)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973204)Termination reason: Instruction limit
% 12.93/3.02 % (3973204)Termination phase: Saturation
% 12.93/3.02 % (3973204)Time elapsed: 0.133 s
% 12.93/3.02 % (3973204)Peak memory usage: 90 MB
% 12.93/3.02 % (3973204)Instructions burned: 140 (million)
% 12.93/3.02 % (3973202)------------------------------
% 12.93/3.02 % (3973202)------------------------------
% 12.93/3.02 % (3973215)lrs+10_1_sil=8000:sp=occurrence:random_seed=1202301868:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.93/3.02 % (3973219)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1259567414:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.93/3.02 % (3973217)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1236252803:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.93/3.02 % (3973217)Instruction limit reached!
% 12.93/3.02 % (3973217)------------------------------
% 12.93/3.02 % (3973217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973217)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973217)Termination reason: Instruction limit
% 12.93/3.02 % (3973217)Termination phase: Saturation
% 12.93/3.02 % (3973217)Time elapsed: 0.142 s
% 12.93/3.02 % (3973217)Peak memory usage: 91 MB
% 12.93/3.02 % (3973217)Instructions burned: 158 (million)
% 12.93/3.02 % (3973220)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=691728654:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.93/3.02 % (3973215)Instruction limit reached!
% 12.93/3.02 % (3973215)------------------------------
% 12.93/3.02 % (3973215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973215)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973215)Termination reason: Instruction limit
% 12.93/3.02 % (3973215)Termination phase: Saturation
% 12.93/3.02 % (3973215)Time elapsed: 0.274 s
% 12.93/3.02 % (3973215)Peak memory usage: 91 MB
% 12.93/3.02 % (3973215)Instructions burned: 285 (million)
% 12.93/3.02 % (3973219)Instruction limit reached!
% 12.93/3.02 % (3973219)------------------------------
% 12.93/3.02 % (3973219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973219)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973219)Termination reason: Instruction limit
% 12.93/3.02 % (3973219)Termination phase: Saturation
% 12.93/3.02 % (3973219)Time elapsed: 0.269 s
% 12.93/3.02 % (3973219)Peak memory usage: 92 MB
% 12.93/3.02 % (3973219)Instructions burned: 326 (million)
% 12.93/3.02 % (3973220)Instruction limit reached!
% 12.93/3.02 % (3973220)------------------------------
% 12.93/3.02 % (3973220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973220)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973220)Termination reason: Instruction limit
% 12.93/3.02 % (3973220)Termination phase: Saturation
% 12.93/3.02 % (3973220)Time elapsed: 0.129 s
% 12.93/3.02 % (3973220)Peak memory usage: 92 MB
% 12.93/3.02 % (3973220)Instructions burned: 248 (million)
% 12.93/3.02 % (3973224)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4126603288:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.93/3.02 % (3973224)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973224)------------------------------
% 12.93/3.02 % (3973224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973224)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973224)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973224)Time elapsed: 0.003 s
% 12.93/3.02 % (3973224)Peak memory usage: 88 MB
% 12.93/3.02 % (3973224)Instructions burned: 1 (million)
% 12.93/3.02 % (3973227)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1626733424:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.93/3.02 % (3973227)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973227)------------------------------
% 12.93/3.02 % (3973227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973227)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973227)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973227)Time elapsed: 0.002 s
% 12.93/3.02 % (3973227)Peak memory usage: 89 MB
% 12.93/3.02 % (3973226)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1670329957:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 12.93/3.02 % (3973228)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2492857270:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.93/3.02 % (3973228)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973228)------------------------------
% 12.93/3.02 % (3973228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973228)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973228)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973228)Time elapsed: 0.002 s
% 12.93/3.02 % (3973228)Peak memory usage: 88 MB
% 12.93/3.02 % (3973227)------------------------------
% 12.93/3.02 % (3973227)------------------------------
% 12.93/3.02 % (3973201)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973201)------------------------------
% 12.93/3.02 % (3973201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973201)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973201)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973201)Time elapsed: 0.938 s
% 12.93/3.02 % (3973201)Peak memory usage: 128 MB
% 12.93/3.02 % (3973201)Instructions burned: 889 (million)
% 12.93/3.02 % (3973224)------------------------------
% 12.93/3.02 % (3973224)------------------------------
% 12.93/3.02 % (3973235)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=384338350:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.93/3.02 % (3973201)------------------------------
% 12.93/3.02 % (3973201)------------------------------
% 12.93/3.02 % (3973228)------------------------------
% 12.93/3.02 % (3973228)------------------------------
% 12.93/3.02 % (3973236)lrs+10_1_sil=8000:sp=occurrence:random_seed=1116729819:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 12.93/3.02 % (3973235)Instruction limit reached!
% 12.93/3.02 % (3973235)------------------------------
% 12.93/3.02 % (3973235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973235)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973235)Termination reason: Instruction limit
% 12.93/3.02 % (3973235)Termination phase: Saturation
% 12.93/3.02 % (3973235)Time elapsed: 0.114 s
% 12.93/3.02 % (3973235)Peak memory usage: 89 MB
% 12.93/3.02 % (3973235)Instructions burned: 114 (million)
% 12.93/3.02 % (3973239)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3871415965:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 12.93/3.02 % (3973238)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=878066510:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 12.93/3.02 % (3973238)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973238)------------------------------
% 12.93/3.02 % (3973238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973238)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973238)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973238)Time elapsed: 0.002 s
% 12.93/3.02 % (3973238)Peak memory usage: 88 MB
% 12.93/3.02 % (3973241)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2454141343:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 12.93/3.02 % (3973241)Refutation not found, incomplete strategy
% 12.93/3.02 % (3973241)------------------------------
% 12.93/3.02 % (3973241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.93/3.02 % (3973241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.93/3.02 % (3973241)CaDiCaL version: 2.1.3
% 12.93/3.02 % (3973241)Termination reason: Refutation not found, incomplete strategy
% 12.93/3.02 % (3973241)Time elapsed: 0.003 s
% 12.93/3.02 % (3973241)Peak memory usage: 89 MB
% 12.93/3.02 % (3973241)Instructions burned: 1 (million)
% 12.93/3.02 % (3973200)First to succeed.
% 12.93/3.02 % (3973200)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3973189"
% 12.93/3.02 % (3973199)Also succeeded, but the first one will report.
% 12.93/3.02 % (3973238)------------------------------
% 12.93/3.02 % (3973238)------------------------------
% 12.93/3.02 % (3973241)------------------------------
% 12.93/3.02 % (3973241)------------------------------
% 12.93/3.02 % (3973200)Refutation found. Thanks to Tanya!
% 12.93/3.02 % SZS status Theorem for theBenchmark
% 12.93/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/3.31 % (3973200)------------------------------
% 0.26/3.31 % (3973200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/3.31 % (3973200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/3.31 % (3973200)CaDiCaL version: 2.1.3
% 0.26/3.31 % (3973200)Termination reason: Refutation
% 0.26/3.31 % (3973200)Time elapsed: 1.504 s
% 0.26/3.31 % (3973200)Peak memory usage: 133 MB
% 0.26/3.31 % (3973200)Instructions burned: 1417 (million)
% 0.26/3.31 % (3973200)------------------------------
% 0.26/3.31 % (3973200)------------------------------
% 0.26/3.31 % (3973189)Success in time 2.172 s
% 0.26/3.31 % Vampire exiting
%------------------------------------------------------------------------------