%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL028+2 : 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 : n017.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 12:33:54 PM UTC 2026
% Result : Theorem 20.95s 3.90s
% Output : Refutation 21.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 12
% Syntax : Number of formulae : 137 ( 132 unt; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 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 : 201 ( 197 !; 4 ?)
% 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(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
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(f17,conjecture,
! [X0,X1] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> composition(X0,X1) = meet(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( join(X0,one) = one
& join(X1,one) = one )
=> composition(X0,X1) = meet(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( meet(X0,X1) != composition(X0,X1)
& join(X0,one) = one
& join(X1,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( meet(X0,X1) != composition(X0,X1)
& join(X0,one) = one
& join(X1,one) = one ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
( meet(sK0,sK1) != composition(sK0,sK1)
& one = join(sK0,one)
& one = join(sK1,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
one = join(sK1,one),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f21]) ).
fof(f24,plain,
meet(sK0,sK1) != composition(sK0,sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
composition(sK0,sK1) != complement(join(complement(sK0),complement(sK1))),
inference(definition_unfolding,[],[f24,f31]) ).
fof(f47,plain,
one = join(one,sK1),
inference(forward_demodulation,[],[f22,f26]) ).
fof(f48,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f23,f26]) ).
fof(f50,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f33,f38]) ).
fof(f51,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f37,f38]) ).
fof(f57,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f34,f33]) ).
fof(f70,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f40,f26]) ).
fof(f78,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f26,f40]) ).
fof(f83,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f70,f26]) ).
fof(f96,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f57,f33]) ).
fof(f101,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f96,f37]) ).
fof(f104,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f101,f37]) ).
fof(f106,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f104,f33]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f25,f40]) ).
fof(f120,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f121,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f111,f120]) ).
fof(f228,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f25,f39]) ).
fof(f283,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f32,f38]) ).
fof(f301,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f283,f26]) ).
fof(f363,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f50,f35]) ).
fof(f377,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f363,f38]) ).
fof(f390,plain,
one = converse(one),
inference(superposition,[],[f35,f377]) ).
fof(f408,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f377,f390]) ).
fof(f448,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f301,f408]) ).
fof(f460,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f448,f377]) ).
fof(f474,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,[],[f121,f460]) ).
fof(f478,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f474,f78]) ).
fof(f513,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f121,f478]) ).
fof(f533,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f513,f26]) ).
fof(f568,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f533,f26]) ).
fof(f571,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(top,X0))),
inference(superposition,[],[f533,f228]) ).
fof(f578,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f478,f533]) ).
fof(f586,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f40,f533]) ).
fof(f595,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f586,f228]) ).
fof(f605,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(forward_demodulation,[],[f571,f578]) ).
fof(f608,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f568,f578]) ).
fof(f620,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f595,f460]) ).
fof(f631,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f620,f605]) ).
fof(f645,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f83,f631]) ).
fof(f717,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f608,f631]) ).
fof(f732,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f121,f608]) ).
fof(f757,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f732,f26]) ).
fof(f772,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f757,f631]) ).
fof(f773,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(X0)) = join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f757,f40]) ).
fof(f835,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f773,f25]) ).
fof(f852,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f835,f26]) ).
fof(f861,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f852,f717]) ).
fof(f866,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f772,f26]) ).
fof(f1189,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f861,f631]) ).
fof(f2717,plain,
complement(sK1) = join(complement(sK1),complement(one)),
inference(superposition,[],[f717,f47]) ).
fof(f2775,plain,
complement(sK1) = join(complement(one),complement(sK1)),
inference(forward_demodulation,[],[f2717,f26]) ).
fof(f4449,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f38,f106]) ).
fof(f4454,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f4449,f38]) ).
fof(f4490,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f4454,f35]) ).
fof(f4623,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sK0)),
inference(superposition,[],[f4490,f48]) ).
fof(f4727,plain,
! [X0] : join(X0,composition(X0,sK0)) = X0,
inference(forward_demodulation,[],[f4623,f35]) ).
fof(f4801,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sK0))),
inference(superposition,[],[f51,f4727]) ).
fof(f4803,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),X0)),
inference(forward_demodulation,[],[f4801,f50]) ).
fof(f4829,plain,
! [X0] : join(X0,composition(converse(sK0),X0)) = X0,
inference(forward_demodulation,[],[f4803,f38]) ).
fof(f4964,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),one))),
inference(superposition,[],[f4490,f4829]) ).
fof(f4968,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(forward_demodulation,[],[f4964,f35]) ).
fof(f4990,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f4968,f35]) ).
fof(f5118,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f51,f4990]) ).
fof(f5120,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f5118,f50]) ).
fof(f5149,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f5120,f38]) ).
fof(f5163,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f5149,f38]) ).
fof(f5177,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f25,f5163]) ).
fof(f5182,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),complement(X0)),
inference(superposition,[],[f717,f5163]) ).
fof(f5197,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(composition(sK0,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f645,f5163]) ).
fof(f5210,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sK0,complement(X0)),X0))),
inference(forward_demodulation,[],[f5197,f26]) ).
fof(f5222,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f5182,f26]) ).
fof(f5227,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5210,f26]) ).
fof(f5232,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f5227,f631]) ).
fof(f5235,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f5232,f866]) ).
fof(f5236,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f5235,f26]) ).
fof(f5363,plain,
! [X0,X1] : join(X0,composition(sK0,X1)) = join(X0,composition(sK0,join(X0,X1))),
inference(superposition,[],[f5177,f4454]) ).
fof(f5527,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f5363,f39]) ).
fof(f6348,plain,
! [X0] : join(complement(X0),composition(sK0,X0)) = join(complement(X0),composition(sK0,top)),
inference(superposition,[],[f5527,f631]) ).
fof(f6363,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f1189,f5527]) ).
fof(f6379,plain,
! [X0] : join(complement(X0),complement(composition(sK0,complement(complement(X0))))) = join(complement(X0),complement(join(complement(X0),composition(sK0,top)))),
inference(superposition,[],[f861,f5527]) ).
fof(f6394,plain,
! [X0] : join(complement(X0),complement(composition(sK0,complement(complement(X0))))) = join(complement(X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f6379,f861]) ).
fof(f6408,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f6363,f866]) ).
fof(f6423,plain,
! [X0] : complement(composition(sK0,complement(complement(X0)))) = join(complement(X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f6394,f5236]) ).
fof(f6435,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f6408,f5236]) ).
fof(f6442,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(X0),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f6423,f631]) ).
fof(f6471,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f6442,f631]) ).
fof(f6501,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),join(complement(composition(sK0,top)),X1)),
inference(superposition,[],[f120,f6442]) ).
fof(f6523,plain,
! [X0,X1] : join(X1,complement(composition(sK0,X0))) = join(complement(X0),complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f6501,f6435]) ).
fof(f6597,plain,
! [X0,X1] : join(X1,complement(composition(sK0,complement(X0)))) = join(X0,complement(composition(sK0,complement(X1)))),
inference(superposition,[],[f6523,f631]) ).
fof(f6735,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X0,join(X1,complement(composition(sK0,top)))),
inference(superposition,[],[f25,f6471]) ).
fof(f6787,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(X0,complement(composition(sK0,complement(X1)))),
inference(forward_demodulation,[],[f6735,f6471]) ).
fof(f7485,plain,
! [X0,X1] : join(complement(complement(composition(sK0,complement(X0)))),X1) = join(X1,complement(join(X0,complement(composition(sK0,complement(X1)))))),
inference(superposition,[],[f866,f6597]) ).
fof(f7556,plain,
! [X0,X1] : join(complement(complement(composition(sK0,complement(X0)))),X1) = join(X1,complement(complement(composition(sK0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f7485,f6787]) ).
fof(f7673,plain,
! [X0,X1] : join(X1,composition(sK0,complement(join(X0,X1)))) = join(complement(complement(composition(sK0,complement(X0)))),X1),
inference(forward_demodulation,[],[f7556,f631]) ).
fof(f7775,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),X1) = join(X1,composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f7673,f631]) ).
fof(f20362,plain,
join(composition(sK0,complement(complement(one))),complement(sK1)) = join(complement(sK1),composition(sK0,complement(complement(sK1)))),
inference(superposition,[],[f7775,f2775]) ).
fof(f20494,plain,
join(composition(sK0,complement(complement(one))),complement(sK1)) = join(complement(sK1),composition(sK0,top)),
inference(forward_demodulation,[],[f20362,f5527]) ).
fof(f20605,plain,
join(composition(sK0,complement(complement(one))),complement(sK1)) = join(complement(sK1),composition(sK0,sK1)),
inference(forward_demodulation,[],[f20494,f6348]) ).
fof(f20695,plain,
join(complement(sK1),composition(sK0,sK1)) = join(complement(sK1),composition(sK0,complement(complement(one)))),
inference(forward_demodulation,[],[f20605,f26]) ).
fof(f20767,plain,
join(complement(sK1),composition(sK0,sK1)) = join(complement(sK1),composition(sK0,one)),
inference(forward_demodulation,[],[f20695,f631]) ).
fof(f20819,plain,
join(complement(sK1),composition(sK0,sK1)) = join(complement(sK1),sK0),
inference(forward_demodulation,[],[f20767,f35]) ).
fof(f20854,plain,
join(complement(sK1),composition(sK0,sK1)) = join(sK0,complement(sK1)),
inference(forward_demodulation,[],[f20819,f26]) ).
fof(f37947,plain,
join(complement(sK1),complement(composition(sK0,sK1))) = join(complement(sK1),complement(join(sK0,complement(sK1)))),
inference(superposition,[],[f1189,f20854]) ).
fof(f37966,plain,
join(complement(sK0),complement(sK1)) = join(complement(sK1),complement(composition(sK0,sK1))),
inference(forward_demodulation,[],[f37947,f772]) ).
fof(f37997,plain,
join(complement(sK0),complement(sK1)) = complement(composition(sK0,sK1)),
inference(forward_demodulation,[],[f37966,f5222]) ).
fof(f38063,plain,
composition(sK0,sK1) != complement(complement(composition(sK0,sK1))),
inference(superposition,[],[f41,f37997]) ).
fof(f38153,plain,
$false,
inference(forward_subsumption_resolution,[],[f38063,f631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL028+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:48:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 20.33/3.73 % (3040778)Detected formulas, will run a generic FOF schedule.
% 20.33/3.73 % (3040846)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1735742960:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.33/3.73 % (3040846)Instruction limit reached!
% 20.33/3.73 % (3040846)------------------------------
% 20.33/3.73 % (3040846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.33/3.73 % (3040846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.73 % (3040846)CaDiCaL version: 2.1.3
% 20.33/3.73 % (3040846)Termination reason: Instruction limit
% 20.33/3.73 % (3040846)Termination phase: Saturation
% 20.33/3.73 % (3040846)Time elapsed: 0.033 s
% 20.33/3.73 % (3040846)Peak memory usage: 88 MB
% 20.33/3.73 % (3040846)Instructions burned: 111 (million)
% 20.33/3.73 % (3040843)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=1913197663:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.33/3.73 % (3040847)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=638814091:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.33/3.73 % (3040848)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=554323217:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.33/3.73 % (3040845)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=920288202:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.33/3.73 % (3040844)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=2680865502:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.33/3.73 % (3040847)Instruction limit reached!
% 20.33/3.73 % (3040847)------------------------------
% 20.33/3.73 % (3040847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.33/3.73 % (3040847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.73 % (3040847)CaDiCaL version: 2.1.3
% 20.33/3.73 % (3040847)Termination reason: Instruction limit
% 20.33/3.73 % (3040847)Termination phase: Saturation
% 20.33/3.73 % (3040847)Time elapsed: 0.066 s
% 20.33/3.73 % (3040847)Peak memory usage: 88 MB
% 20.33/3.73 % (3040847)Instructions burned: 119 (million)
% 20.33/3.73 % (3040849)dis-21_1_sil=8000:lcm=predicate:random_seed=1708156078:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 20.33/3.73 % (3040849)Refutation not found, incomplete strategy
% 20.33/3.73 % (3040849)------------------------------
% 20.33/3.73 % (3040849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.33/3.73 % (3040849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.73 % (3040849)CaDiCaL version: 2.1.3
% 20.33/3.73 % (3040849)Termination reason: Refutation not found, incomplete strategy
% 20.33/3.73 % (3040849)Time elapsed: 0.003 s
% 20.33/3.73 % (3040849)Peak memory usage: 88 MB
% 20.33/3.73 % (3040849)Instructions burned: 1 (million)
% 20.33/3.73 % (3040848)Instruction limit reached!
% 20.33/3.73 % (3040848)------------------------------
% 20.33/3.73 % (3040848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.33/3.73 % (3040848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.73 % (3040848)CaDiCaL version: 2.1.3
% 20.33/3.73 % (3040848)Termination reason: Instruction limit
% 20.33/3.73 % (3040848)Termination phase: Saturation
% 20.33/3.73 % (3040848)Time elapsed: 0.137 s
% 20.33/3.73 % (3040848)Peak memory usage: 90 MB
% 20.33/3.73 % (3040848)Instructions burned: 140 (million)
% 20.33/3.73 % (3040856)lrs+10_1_sil=8000:sp=occurrence:random_seed=832614102:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 20.33/3.73 % (3040858)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4007490429:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 20.33/3.73 % (3040856)Instruction limit reached!
% 20.33/3.73 % (3040856)------------------------------
% 20.33/3.73 % (3040856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.33/3.73 % (3040856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.73 % (3040856)CaDiCaL version: 2.1.3
% 20.33/3.73 % (3040856)Termination reason: Instruction limit
% 20.33/3.73 % (3040856)Termination phase: Saturation
% 20.95/3.89 % (3040856)Time elapsed: 0.092 s
% 20.95/3.89 % (3040856)Peak memory usage: 91 MB
% 20.95/3.89 % (3040856)Instructions burned: 288 (million)
% 20.95/3.89 % (3040859)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1553055625:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 20.95/3.89 % (3040858)Instruction limit reached!
% 20.95/3.89 % (3040858)------------------------------
% 20.95/3.89 % (3040858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040858)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040858)Termination reason: Instruction limit
% 20.95/3.89 % (3040858)Termination phase: Saturation
% 20.95/3.89 % (3040858)Time elapsed: 0.092 s
% 20.95/3.89 % (3040858)Peak memory usage: 89 MB
% 20.95/3.89 % (3040858)Instructions burned: 157 (million)
% 20.95/3.89 % (3040849)------------------------------
% 20.95/3.89 % (3040849)------------------------------
% 20.95/3.89 % (3040862)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=3539948339:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.95/3.89 % (3040862)Instruction limit reached!
% 20.95/3.89 % (3040862)------------------------------
% 20.95/3.89 % (3040862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040862)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040862)Termination reason: Instruction limit
% 20.95/3.89 % (3040862)Termination phase: Saturation
% 20.95/3.89 % (3040862)Time elapsed: 0.119 s
% 20.95/3.89 % (3040862)Peak memory usage: 91 MB
% 20.95/3.89 % (3040862)Instructions burned: 249 (million)
% 20.95/3.89 % (3040864)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4171258445:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.95/3.89 % (3040859)Instruction limit reached!
% 20.95/3.89 % (3040859)------------------------------
% 20.95/3.89 % (3040859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040859)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040859)Termination reason: Instruction limit
% 20.95/3.89 % (3040859)Termination phase: Saturation
% 20.95/3.89 % (3040859)Time elapsed: 0.251 s
% 20.95/3.89 % (3040859)Peak memory usage: 92 MB
% 20.95/3.89 % (3040859)Instructions burned: 325 (million)
% 20.95/3.89 % (3040865)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3575953137:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.95/3.89 % (3040875)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1642080680:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.95/3.89 % (3040875)Instruction limit reached!
% 20.95/3.89 % (3040875)------------------------------
% 20.95/3.89 % (3040875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040875)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040875)Termination reason: Instruction limit
% 20.95/3.89 % (3040875)Termination phase: Saturation
% 20.95/3.89 % (3040875)Time elapsed: 0.059 s
% 20.95/3.89 % (3040875)Peak memory usage: 90 MB
% 20.95/3.89 % (3040875)Instructions burned: 115 (million)
% 20.95/3.89 % (3040864)Instruction limit reached!
% 20.95/3.89 % (3040864)------------------------------
% 20.95/3.89 % (3040864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040864)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040864)Termination reason: Instruction limit
% 20.95/3.89 % (3040864)Termination phase: Saturation
% 20.95/3.89 % (3040864)Time elapsed: 0.258 s
% 20.95/3.89 % (3040864)Peak memory usage: 90 MB
% 20.95/3.89 % (3040864)Instructions burned: 295 (million)
% 20.95/3.89 % (3040878)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=694022928:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.95/3.89 % (3040878)Refutation not found, incomplete strategy
% 20.95/3.89 % (3040878)------------------------------
% 20.95/3.89 % (3040878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040878)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040878)Termination reason: Refutation not found, incomplete strategy
% 20.95/3.89 % (3040878)Time elapsed: 0.002 s
% 20.95/3.89 % (3040878)Peak memory usage: 88 MB
% 20.95/3.89 % (3040878)Instructions burned: 1 (million)
% 20.95/3.89 % (3040889)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2746055413:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 20.95/3.89 % (3040889)Instruction limit reached!
% 20.95/3.89 % (3040889)------------------------------
% 20.95/3.89 % (3040889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.89 % (3040889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.89 % (3040889)CaDiCaL version: 2.1.3
% 20.95/3.89 % (3040889)Termination reason: Instruction limit
% 20.95/3.89 % (3040889)Termination phase: Saturation
% 20.95/3.89 % (3040889)Time elapsed: 0.059 s
% 20.95/3.89 % (3040889)Peak memory usage: 89 MB
% 20.95/3.89 % (3040889)Instructions burned: 114 (million)
% 20.95/3.89 % (3040890)lrs+10_1_sil=8000:sp=occurrence:random_seed=2677288715:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 20.95/3.90 % (3040878)------------------------------
% 20.95/3.90 % (3040878)------------------------------
% 20.95/3.90 % (3040897)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3916241878:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 20.95/3.90 % (3040900)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3916186727:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 20.95/3.90 % (3040897)Instruction limit reached!
% 20.95/3.90 % (3040897)------------------------------
% 20.95/3.90 % (3040897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.90 % (3040897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.90 % (3040897)CaDiCaL version: 2.1.3
% 20.95/3.90 % (3040897)Termination reason: Instruction limit
% 20.95/3.90 % (3040897)Termination phase: Saturation
% 20.95/3.90 % (3040897)Time elapsed: 0.193 s
% 20.95/3.90 % (3040897)Peak memory usage: 89 MB
% 20.95/3.90 % (3040897)Instructions burned: 438 (million)
% 20.95/3.90 % (3040904)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3702727084:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 20.95/3.90 % (3040904)Refutation not found, incomplete strategy
% 20.95/3.90 % (3040904)------------------------------
% 20.95/3.90 % (3040904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.90 % (3040904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.90 % (3040904)CaDiCaL version: 2.1.3
% 20.95/3.90 % (3040904)Termination reason: Refutation not found, incomplete strategy
% 20.95/3.90 % (3040904)Time elapsed: 0.002 s
% 20.95/3.90 % (3040904)Peak memory usage: 88 MB
% 20.95/3.90 % (3040904)Instructions burned: 1 (million)
% 20.95/3.90 % (3040890)Instruction limit reached!
% 20.95/3.90 % (3040890)------------------------------
% 20.95/3.90 % (3040890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.90 % (3040890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.90 % (3040890)CaDiCaL version: 2.1.3
% 20.95/3.90 % (3040890)Termination reason: Instruction limit
% 20.95/3.90 % (3040890)Termination phase: Saturation
% 20.95/3.90 % (3040890)Time elapsed: 0.844 s
% 20.95/3.90 % (3040890)Peak memory usage: 98 MB
% 20.95/3.90 % (3040890)Instructions burned: 907 (million)
% 20.95/3.90 % (3040904)------------------------------
% 20.95/3.90 % (3040904)------------------------------
% 20.95/3.90 % (3040911)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1102066730:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 20.95/3.90 % (3040909)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2624542467:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 20.95/3.90 % (3040844)First to succeed.
% 20.95/3.90 % (3040844)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3040778"
% 20.95/3.90 % (3040909)Instruction limit reached!
% 20.95/3.90 % (3040909)------------------------------
% 20.95/3.90 % (3040909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.90 % (3040909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.90 % (3040909)CaDiCaL version: 2.1.3
% 20.95/3.90 % (3040909)Termination reason: Instruction limit
% 20.95/3.90 % (3040909)Termination phase: Saturation
% 20.95/3.90 % (3040909)Time elapsed: 0.516 s
% 20.95/3.90 % (3040909)Peak memory usage: 94 MB
% 20.95/3.90 % (3040909)Instructions burned: 594 (million)
% 20.95/3.90 % (3040865)Instruction limit reached!
% 20.95/3.90 % (3040865)------------------------------
% 20.95/3.90 % (3040865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.95/3.90 % (3040865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.95/3.90 % (3040865)CaDiCaL version: 2.1.3
% 20.95/3.90 % (3040865)Termination reason: Instruction limit
% 20.95/3.90 % (3040865)Termination phase: Saturation
% 20.95/3.90 % (3040865)Time elapsed: 2.219 s
% 20.95/3.90 % (3040865)Peak memory usage: 141 MB
% 20.95/3.90 % (3040865)Instructions burned: 2351 (million)
% 20.95/3.90 % (3040844)Refutation found. Thanks to Tanya!
% 20.95/3.90 % SZS status Theorem for theBenchmark
% 20.95/3.90 % SZS output start Proof for theBenchmark
% See solution above
% 21.89/4.09 % (3040844)------------------------------
% 21.89/4.09 % (3040844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.89/4.09 % (3040844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/4.09 % (3040844)CaDiCaL version: 2.1.3
% 21.89/4.09 % (3040844)Termination reason: Refutation
% 21.89/4.09 % (3040844)Time elapsed: 2.602 s
% 21.89/4.09 % (3040844)Peak memory usage: 144 MB
% 21.89/4.09 % (3040844)Instructions burned: 3024 (million)
% 21.89/4.09 % (3040844)------------------------------
% 21.89/4.09 % (3040844)------------------------------
% 21.89/4.09 % (3040778)Success in time 3.028 s
% 21.89/4.09 % Vampire exiting
%------------------------------------------------------------------------------