%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL010+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:34:15 PM UTC 2026
% Result : Theorem 14.67s 2.77s
% Output : Refutation 14.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 15
% Syntax : Number of formulae : 126 ( 123 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 134 ( 131 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',dedekind_law) ).
fof(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(composition(X0,X1),X2) = zero
=> meet(X1,composition(converse(X0),X2)) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(X1,composition(converse(X0),X2))
& meet(composition(X0,X1),X2) = zero ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f27,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
zero = meet(composition(sK0,sK1),sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
zero != meet(sK1,composition(converse(sK0),sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f32,f23]) ).
fof(f39,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f33,f23,f23,f23,f23,f23]) ).
fof(f40,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f34,f23,f23,f23,f23,f23]) ).
fof(f42,plain,
zero != complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),
inference(definition_unfolding,[],[f37,f23]) ).
fof(f43,plain,
zero = complement(join(complement(composition(sK0,sK1)),complement(sK2))),
inference(definition_unfolding,[],[f36,f23]) ).
fof(f44,plain,
top = join(join(complement(composition(sK0,sK1)),complement(sK2)),zero),
inference(superposition,[],[f31,f43]) ).
fof(f45,plain,
zero = complement(join(complement(sK2),complement(composition(sK0,sK1)))),
inference(superposition,[],[f43,f20]) ).
fof(f48,plain,
zero = complement(top),
inference(forward_demodulation,[],[f38,f31]) ).
fof(f50,plain,
top = join(join(complement(sK2),complement(composition(sK0,sK1))),zero),
inference(forward_demodulation,[],[f44,f20]) ).
fof(f51,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f28,f27]) ).
fof(f57,plain,
top = join(zero,join(complement(sK2),complement(composition(sK0,sK1)))),
inference(superposition,[],[f50,f20]) ).
fof(f70,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f21,f31]) ).
fof(f71,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f21,f20]) ).
fof(f83,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f96,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[],[f26,f20]) ).
fof(f110,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[],[f30,f20]) ).
fof(f117,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(composition(sK0,sK1)),complement(sK2))))) = X0,
inference(superposition,[],[f22,f43]) ).
fof(f121,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f22,f31]) ).
fof(f128,plain,
! [X0] : top = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f22,f48]) ).
fof(f137,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f21,f22]) ).
fof(f145,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f121,f48]) ).
fof(f149,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(sK2),complement(composition(sK0,sK1)))))) = X0,
inference(forward_demodulation,[],[f117,f20]) ).
fof(f152,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(sK2),complement(composition(sK0,sK1)))))) = X0,
inference(forward_demodulation,[],[f149,f20]) ).
fof(f157,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(forward_demodulation,[],[f40,f20]) ).
fof(f173,plain,
! [X2,X0,X1] : complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1))))))))),
inference(superposition,[],[f157,f27]) ).
fof(f240,plain,
composition(complement(join(complement(sK0),complement(composition(sK2,converse(sK1))))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))) = join(zero,composition(complement(join(complement(sK0),complement(composition(sK2,converse(sK1))))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))))),
inference(superposition,[],[f39,f43]) ).
fof(f331,plain,
top = join(complement(join(zero,zero)),complement(join(zero,join(complement(sK2),complement(composition(sK0,sK1)))))),
inference(superposition,[],[f152,f48]) ).
fof(f339,plain,
top = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f331,f57]) ).
fof(f344,plain,
top = join(complement(join(zero,zero)),zero),
inference(forward_demodulation,[],[f339,f48]) ).
fof(f350,plain,
top = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f344,f20]) ).
fof(f353,plain,
! [X0] : join(top,X0) = join(complement(join(zero,zero)),join(zero,X0)),
inference(superposition,[],[f21,f344]) ).
fof(f367,plain,
! [X0] : join(top,X0) = join(zero,join(complement(join(zero,zero)),X0)),
inference(superposition,[],[f21,f350]) ).
fof(f432,plain,
join(complement(join(zero,zero)),top) = join(top,complement(zero)),
inference(superposition,[],[f353,f31]) ).
fof(f454,plain,
join(zero,zero) = join(complement(join(complement(join(zero,zero)),complement(top))),complement(join(top,complement(zero)))),
inference(superposition,[],[f22,f432]) ).
fof(f459,plain,
join(zero,zero) = join(complement(join(complement(top),complement(join(zero,zero)))),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f454,f20]) ).
fof(f460,plain,
join(zero,zero) = join(complement(join(zero,complement(join(zero,zero)))),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f459,f48]) ).
fof(f461,plain,
join(zero,zero) = join(complement(top),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f460,f350]) ).
fof(f462,plain,
join(zero,zero) = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f461,f48]) ).
fof(f579,plain,
join(top,complement(join(top,complement(zero)))) = join(complement(join(zero,zero)),join(zero,zero)),
inference(superposition,[],[f353,f462]) ).
fof(f583,plain,
join(top,zero) = join(top,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f579,f353]) ).
fof(f584,plain,
join(zero,top) = join(top,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f583,f20]) ).
fof(f658,plain,
join(zero,join(top,complement(zero))) = join(top,top),
inference(superposition,[],[f367,f432]) ).
fof(f1033,plain,
top = join(zero,join(composition(complement(join(complement(sK0),complement(composition(sK2,converse(sK1))))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2))))),complement(composition(complement(join(complement(sK0),complement(composition(sK2,converse(sK1))))),complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))))))),
inference(superposition,[],[f70,f240]) ).
fof(f1072,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f1033,f31]) ).
fof(f1127,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f21,f1072]) ).
fof(f1133,plain,
join(complement(sK2),complement(composition(sK0,sK1))) = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f145,f45]) ).
fof(f1143,plain,
top = join(complement(sK2),complement(composition(sK0,sK1))),
inference(forward_demodulation,[],[f1133,f350]) ).
fof(f1302,plain,
! [X0] : join(zero,join(top,X0)) = join(X0,top),
inference(superposition,[],[f71,f1072]) ).
fof(f1531,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f1127,f658]) ).
fof(f1582,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f584,f1531]) ).
fof(f1592,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f1582,f1072]) ).
fof(f1695,plain,
top = join(top,top),
inference(superposition,[],[f70,f1592]) ).
fof(f1874,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(sK2),complement(composition(sK0,sK1))))))),
inference(superposition,[],[f110,f45]) ).
fof(f1899,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f1874,f1143]) ).
fof(f1928,plain,
join(complement(zero),top) = join(top,top),
inference(superposition,[],[f658,f1302]) ).
fof(f1946,plain,
top = join(complement(zero),top),
inference(forward_demodulation,[],[f1928,f1695]) ).
fof(f3462,plain,
! [X0] : join(zero,X0) = join(complement(join(complement(zero),complement(top))),join(complement(top),X0)),
inference(superposition,[],[f137,f1946]) ).
fof(f3543,plain,
! [X0] : join(zero,X0) = join(complement(join(complement(zero),zero)),join(zero,X0)),
inference(forward_demodulation,[],[f3462,f48]) ).
fof(f3603,plain,
! [X0] : join(zero,X0) = join(complement(join(zero,complement(zero))),join(zero,X0)),
inference(forward_demodulation,[],[f3543,f20]) ).
fof(f3639,plain,
! [X0] : join(zero,X0) = join(complement(top),join(zero,X0)),
inference(forward_demodulation,[],[f3603,f31]) ).
fof(f3659,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f3639,f48]) ).
fof(f5201,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f3659,f145]) ).
fof(f5388,plain,
complement(join(complement(sK1),complement(composition(converse(sK0),zero)))) = join(complement(join(complement(composition(converse(sK0),sK2)),complement(sK1))),complement(join(complement(sK1),complement(composition(converse(sK0),zero))))),
inference(superposition,[],[f173,f45]) ).
fof(f5423,plain,
complement(join(complement(sK1),complement(composition(converse(sK0),zero)))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),complement(join(complement(sK1),complement(composition(converse(sK0),zero))))),
inference(forward_demodulation,[],[f5388,f20]) ).
fof(f5464,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f5201,f145]) ).
fof(f5468,plain,
top = complement(zero),
inference(superposition,[],[f5201,f31]) ).
fof(f5469,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5201,f20]) ).
fof(f7871,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[],[f70,f5464]) ).
fof(f7887,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,join(complement(X0),complement(X0))))),
inference(superposition,[],[f128,f5464]) ).
fof(f7988,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(complement(X0),complement(X0)))),
inference(forward_demodulation,[],[f7887,f5201]) ).
fof(f7989,plain,
! [X0] : top = join(complement(X0),join(X0,complement(X0))),
inference(forward_demodulation,[],[f7871,f20]) ).
fof(f8076,plain,
! [X0] : top = join(complement(join(zero,X0)),X0),
inference(forward_demodulation,[],[f7988,f5464]) ).
fof(f8077,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[],[f7989,f31]) ).
fof(f8129,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f8076,f5201]) ).
fof(f8290,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f8077,f5464]) ).
fof(f8446,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f8290,f20]) ).
fof(f8485,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(superposition,[],[f51,f8290]) ).
fof(f10924,plain,
top = converse(top),
inference(superposition,[],[f8485,f8129]) ).
fof(f11442,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f1899,f5201]) ).
fof(f18986,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f11442,f10924]) ).
fof(f20102,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f96,f18986]) ).
fof(f20226,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20102,f5201]) ).
fof(f20293,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20226,f8290]) ).
fof(f20359,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20293,f18986]) ).
fof(f20727,plain,
! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
inference(superposition,[],[f83,f20359]) ).
fof(f20795,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f20727,f20359]) ).
fof(f33322,plain,
complement(join(complement(sK1),complement(zero))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),complement(join(complement(sK1),complement(zero)))),
inference(forward_demodulation,[],[f5423,f20795]) ).
fof(f33323,plain,
complement(join(complement(zero),complement(sK1))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),complement(join(complement(zero),complement(sK1)))),
inference(forward_demodulation,[],[f33322,f20]) ).
fof(f33324,plain,
complement(join(top,complement(sK1))) = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),complement(join(top,complement(sK1)))),
inference(forward_demodulation,[],[f33323,f5468]) ).
fof(f33325,plain,
complement(top) = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),complement(top)),
inference(forward_demodulation,[],[f33324,f8446]) ).
fof(f33326,plain,
zero = join(complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),zero),
inference(forward_demodulation,[],[f33325,f48]) ).
fof(f33330,plain,
zero = complement(join(complement(sK1),complement(composition(converse(sK0),sK2)))),
inference(superposition,[],[f5469,f33326]) ).
fof(f33381,plain,
$false,
inference(forward_subsumption_resolution,[],[f33330,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL010+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.48 % Computer : n014.cluster.edu
% 0.24/0.48 % Model : x86_64 x86_64
% 0.24/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.48 % Memory : 8046.5625MB
% 0.24/0.48 % OS : Linux 6.8.0-71-generic
% 0.24/0.48 % CPULimit : 300
% 0.24/0.48 % WCLimit : 300
% 0.24/0.49 % DateTime : Sun Sep 27 22:50:17 UTC 2026
% 0.24/0.49 % CPUTime :
% 0.24/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.53 Running first-order model finding
% 0.28/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.67/2.77 % (1252638)Will run a generic schedule for satisfiability detection.
% 14.67/2.77 % (1252648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=323405046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.67/2.77 % (1252644)% WARNING: option uhcvi not known.
% 14.67/2.77 % (1252646)dis+10_1_sil=32000:sp=arity:random_seed=1388328421:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.67/2.77 % (1252645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1864839028:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.67/2.77 % (1252643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1386949097_2999 on theBenchmark for (2999ds/0Mi)
% 14.67/2.77 % (1252644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1223495378:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.67/2.77 % (1252649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3166448513:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.67/2.77 % (1252647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3418346422:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.67/2.77 % TRYING [1]
% 14.67/2.77 % TRYING [2]
% 14.67/2.77 % TRYING [3]
% 14.67/2.77 % (1252648)Instruction limit reached!
% 14.67/2.77 % (1252648)------------------------------
% 14.67/2.77 % (1252648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252648)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252648)Termination reason: Instruction limit
% 14.67/2.77 % (1252648)Termination phase: Saturation
% 14.67/2.77 % (1252648)Time elapsed: 0.069 s
% 14.67/2.77 % (1252648)Peak memory usage: 13 MB
% 14.67/2.77 % (1252648)Instructions burned: 132 (million)
% 14.67/2.77 % TRYING [4]
% 14.67/2.77 % (1252646)Instruction limit reached!
% 14.67/2.77 % (1252646)------------------------------
% 14.67/2.77 % (1252646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252646)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252646)Termination reason: Instruction limit
% 14.67/2.77 % (1252646)Termination phase: Saturation
% 14.67/2.77 % (1252646)Time elapsed: 0.099 s
% 14.67/2.77 % (1252646)Peak memory usage: 12 MB
% 14.67/2.77 % (1252646)Instructions burned: 104 (million)
% 14.67/2.77 % (1252657)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2650449291:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 14.67/2.77 % (1252647)Instruction limit reached!
% 14.67/2.77 % (1252647)------------------------------
% 14.67/2.77 % (1252647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252647)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252647)Termination reason: Instruction limit
% 14.67/2.77 % (1252647)Termination phase: Saturation
% 14.67/2.77 % (1252647)Time elapsed: 0.121 s
% 14.67/2.77 % (1252647)Peak memory usage: 13 MB
% 14.67/2.77 % (1252647)Instructions burned: 116 (million)
% 14.67/2.77 % TRYING [1]
% 14.67/2.77 % TRYING [2]
% 14.67/2.77 % TRYING [3]
% 14.67/2.77 % (1252658)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=629418663:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.67/2.77 % (1252649)Instruction limit reached!
% 14.67/2.77 % (1252649)------------------------------
% 14.67/2.77 % (1252649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252649)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252649)Termination reason: Instruction limit
% 14.67/2.77 % (1252649)Termination phase: Saturation
% 14.67/2.77 % (1252649)Time elapsed: 0.160 s
% 14.67/2.77 % (1252649)Peak memory usage: 13 MB
% 14.67/2.77 % (1252649)Instructions burned: 159 (million)
% 14.67/2.77 % (1252660)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3886572667:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.67/2.77 % TRYING [4]
% 14.67/2.77 % (1252662)ott-21_1_sil=16000:fs=off:random_seed=2998342488:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 14.67/2.77 % (1252658)Instruction limit reached!
% 14.67/2.77 % (1252658)------------------------------
% 14.67/2.77 % (1252658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252658)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252658)Termination reason: Instruction limit
% 14.67/2.77 % (1252658)Termination phase: Saturation
% 14.67/2.77 % (1252658)Time elapsed: 0.143 s
% 14.67/2.77 % (1252658)Peak memory usage: 13 MB
% 14.67/2.77 % (1252658)Instructions burned: 131 (million)
% 14.67/2.77 % (1252665)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=268714532:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 14.67/2.77 % (1252662)Instruction limit reached!
% 14.67/2.77 % (1252662)------------------------------
% 14.67/2.77 % (1252662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252662)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252662)Termination reason: Instruction limit
% 14.67/2.77 % (1252662)Termination phase: Saturation
% 14.67/2.77 % (1252662)Time elapsed: 0.147 s
% 14.67/2.77 % (1252662)Peak memory usage: 12 MB
% 14.67/2.77 % (1252662)Instructions burned: 181 (million)
% 14.67/2.77 % (1252667)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=647282100:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 14.67/2.77 % TRYING [5]
% 14.67/2.77 % TRYING [1]
% 14.67/2.77 % TRYING [2]
% 14.67/2.77 % TRYING [5]
% 14.67/2.77 % TRYING [3]
% 14.67/2.77 % (1252657)Instruction limit reached!
% 14.67/2.77 % (1252657)------------------------------
% 14.67/2.77 % (1252657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252657)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252657)Termination reason: Instruction limit
% 14.67/2.77 % (1252657)Termination phase: Finite model building constraint generation
% 14.67/2.77 % (1252657)Time elapsed: 0.346 s
% 14.67/2.77 % (1252657)Peak memory usage: 28 MB
% 14.67/2.77 % (1252657)Instructions burned: 723 (million)
% 14.67/2.77 % (1252669)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=375201079:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 14.67/2.77 % TRYING [4]
% 14.67/2.77 % (1252660)Instruction limit reached!
% 14.67/2.77 % (1252660)------------------------------
% 14.67/2.77 % (1252660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252660)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252660)Termination reason: Instruction limit
% 14.67/2.77 % (1252660)Termination phase: Saturation
% 14.67/2.77 % (1252660)Time elapsed: 0.453 s
% 14.67/2.77 % (1252660)Peak memory usage: 17 MB
% 14.67/2.77 % (1252660)Instructions burned: 684 (million)
% 14.67/2.77 % (1252665)Instruction limit reached!
% 14.67/2.77 % (1252665)------------------------------
% 14.67/2.77 % (1252665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252665)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252665)Termination reason: Instruction limit
% 14.67/2.77 % (1252665)Termination phase: Saturation
% 14.67/2.77 % (1252665)Time elapsed: 0.289 s
% 14.67/2.77 % (1252665)Peak memory usage: 16 MB
% 14.67/2.77 % (1252665)Instructions burned: 478 (million)
% 14.67/2.77 % (1252710)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=238512265:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 14.67/2.77 % (1252711)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3998953117:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 14.67/2.77 % (1252667)Instruction limit reached!
% 14.67/2.77 % (1252667)------------------------------
% 14.67/2.77 % (1252667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252667)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252667)Termination reason: Instruction limit
% 14.67/2.77 % (1252667)Termination phase: Finite model building SAT solving
% 14.67/2.77 % (1252667)Time elapsed: 0.301 s
% 14.67/2.77 % (1252667)Peak memory usage: 24 MB
% 14.67/2.77 % (1252667)Instructions burned: 866 (million)
% 14.67/2.77 % (1252720)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2703112336:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 14.67/2.77 % (1252669)Instruction limit reached!
% 14.67/2.77 % (1252669)------------------------------
% 14.67/2.77 % (1252669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252669)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252669)Termination reason: Instruction limit
% 14.67/2.77 % (1252669)Termination phase: Saturation
% 14.67/2.77 % (1252669)Time elapsed: 0.358 s
% 14.67/2.77 % (1252669)Peak memory usage: 25 MB
% 14.67/2.77 % (1252669)Instructions burned: 1179 (million)
% 14.67/2.77 % (1252722)fmb+10_1_sil=64000:random_seed=1403579654:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 14.67/2.77 % TRYING [1]
% 14.67/2.77 % TRYING [2]
% 14.67/2.77 % TRYING [3]
% 14.67/2.77 % TRYING [4]
% 14.67/2.77 % (1252711)Instruction limit reached!
% 14.67/2.77 % (1252711)------------------------------
% 14.67/2.77 % (1252711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252711)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252711)Termination reason: Instruction limit
% 14.67/2.77 % (1252711)Termination phase: Saturation
% 14.67/2.77 % (1252711)Time elapsed: 0.377 s
% 14.67/2.77 % (1252711)Peak memory usage: 20 MB
% 14.67/2.77 % (1252711)Instructions burned: 693 (million)
% 14.67/2.77 % (1252746)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3453091573:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 14.67/2.77 % (1252710)Instruction limit reached!
% 14.67/2.77 % (1252710)------------------------------
% 14.67/2.77 % (1252710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252710)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252710)Termination reason: Instruction limit
% 14.67/2.77 % (1252710)Termination phase: Finite model building constraint generation
% 14.67/2.77 % (1252710)Time elapsed: 0.409 s
% 14.67/2.77 % (1252710)Peak memory usage: 104 MB
% 14.67/2.77 % (1252710)Instructions burned: 892 (million)
% 14.67/2.77 % TRYING [20]
% 14.67/2.77 % TRYING [5]
% 14.67/2.77 % (1252748)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=991677243:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 14.67/2.77 % TRYING [8]
% 14.67/2.77 % TRYING [6]
% 14.67/2.77 % (1252720)Instruction limit reached!
% 14.67/2.77 % (1252720)------------------------------
% 14.67/2.77 % (1252720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252720)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252720)Termination reason: Instruction limit
% 14.67/2.77 % (1252720)Termination phase: Saturation
% 14.67/2.77 % (1252720)Time elapsed: 0.461 s
% 14.67/2.77 % (1252720)Peak memory usage: 18 MB
% 14.67/2.77 % (1252720)Instructions burned: 881 (million)
% 14.67/2.77 % (1252750)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1846124225:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 14.67/2.77 % (1252748)Instruction limit reached!
% 14.67/2.77 % (1252748)------------------------------
% 14.67/2.77 % (1252748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252748)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252748)Termination reason: Instruction limit
% 14.67/2.77 % (1252748)Termination phase: Finite model building constraint generation
% 14.67/2.77 % (1252748)Time elapsed: 0.319 s
% 14.67/2.77 % (1252748)Peak memory usage: 75 MB
% 14.67/2.77 % (1252748)Instructions burned: 923 (million)
% 14.67/2.77 % (1252752)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=870989632:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 14.67/2.77 % TRYING [6]
% 14.67/2.77 % (1252750) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1252638-1252750"...
% 14.67/2.77 % (1252750)...printing done.
% 14.67/2.77 % (1252750)Refutation found. Thanks to Tanya!
% 14.67/2.77 % SZS status Theorem for theBenchmark
% 14.67/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 14.67/2.77 % (1252750)------------------------------
% 14.67/2.77 % (1252750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.77 % (1252750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.77 % (1252750)CaDiCaL version: 2.1.3
% 14.67/2.77 % (1252750)Termination reason: Refutation
% 14.67/2.77 % (1252750)Time elapsed: 0.916 s
% 14.67/2.77 % (1252750)Peak memory usage: 27 MB
% 14.67/2.77 % (1252750)Instructions burned: 1731 (million)
% 14.67/2.77 % (1252638)Success in time 2.222 s
% 14.67/2.77 % Vampire exiting
%------------------------------------------------------------------------------