%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL006+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:33:39 PM UTC 2026
% Result : Theorem 8.77s 2.11s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 12
% Syntax : Number of formulae : 130 ( 126 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 176 ( 174 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( zero != meet(X0,converse(X1))
& meet(converse(X0),X1) = zero ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( zero != meet(sK0,converse(sK1))
& zero = meet(converse(sK0),sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f18,plain,
zero = meet(converse(sK0),sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
zero != meet(sK0,converse(sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
zero != complement(join(complement(sK0),complement(converse(sK1)))),
inference(definition_unfolding,[],[f19,f21]) ).
fof(f34,plain,
zero = complement(join(complement(converse(sK0)),complement(sK1))),
inference(definition_unfolding,[],[f18,f21]) ).
fof(f35,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f20,f21]) ).
fof(f36,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f27,f30]) ).
fof(f37,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f22,f30]) ).
fof(f38,plain,
zero = complement(top),
inference(forward_demodulation,[],[f35,f26]) ).
fof(f39,plain,
zero = complement(join(complement(sK1),complement(converse(sK0)))),
inference(forward_demodulation,[],[f34,f30]) ).
fof(f40,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f24,f25]) ).
fof(f41,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f24,f25]) ).
fof(f45,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f36,f36]) ).
fof(f46,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,[],[f45,f30]) ).
fof(f58,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f36,f30]) ).
fof(f59,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f36,f30]) ).
fof(f90,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f29,f26]) ).
fof(f92,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f29,f36]) ).
fof(f99,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f30,f29]) ).
fof(f159,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f23,f25]) ).
fof(f165,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f41,f26]) ).
fof(f194,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f159,f31]) ).
fof(f205,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f194,f25]) ).
fof(f217,plain,
one = converse(one),
inference(superposition,[],[f31,f205]) ).
fof(f219,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f205,f217]) ).
fof(f541,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f92,f58]) ).
fof(f560,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f541,f30]) ).
fof(f609,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f37,f219]) ).
fof(f610,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f609,f205]) ).
fof(f614,plain,
! [X0] : join(complement(X0),X0) = join(complement(X0),complement(join(complement(join(complement(X0),X0)),complement(X0)))),
inference(superposition,[],[f46,f610]) ).
fof(f622,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,[],[f92,f610]) ).
fof(f623,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f58,f610]) ).
fof(f627,plain,
! [X0] : join(X0,complement(join(complement(complement(complement(X0))),complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f623,f560]) ).
fof(f628,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f622,f36]) ).
fof(f636,plain,
! [X0] : join(complement(X0),X0) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),X0))))),
inference(forward_demodulation,[],[f614,f30]) ).
fof(f638,plain,
! [X0] : join(X0,complement(join(complement(complement(X0)),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f627,f30]) ).
fof(f646,plain,
! [X0] : join(X0,complement(X0)) = join(complement(X0),complement(join(complement(X0),complement(join(X0,complement(X0)))))),
inference(forward_demodulation,[],[f636,f30]) ).
fof(f648,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(forward_demodulation,[],[f638,f26]) ).
fof(f655,plain,
! [X0] : top = join(complement(X0),complement(join(complement(X0),complement(top)))),
inference(forward_demodulation,[],[f646,f26]) ).
fof(f657,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f648,f38]) ).
fof(f663,plain,
! [X0] : top = join(complement(X0),complement(join(complement(X0),zero))),
inference(forward_demodulation,[],[f655,f38]) ).
fof(f669,plain,
! [X0] : top = join(complement(X0),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f663,f30]) ).
fof(f677,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f30,f657]) ).
fof(f705,plain,
top = complement(zero),
inference(superposition,[],[f26,f677]) ).
fof(f720,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f628,f46]) ).
fof(f735,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),complement(X1))) = join(complement(X0),complement(join(complement(join(complement(X0),join(complement(complement(X0)),complement(X1)))),complement(X0)))),
inference(superposition,[],[f46,f628]) ).
fof(f745,plain,
! [X0] : zero = complement(join(complement(zero),complement(X0))),
inference(superposition,[],[f677,f628]) ).
fof(f746,plain,
! [X0] : zero = complement(join(top,complement(X0))),
inference(forward_demodulation,[],[f745,f705]) ).
fof(f756,plain,
! [X0,X1] : join(complement(X0),join(complement(complement(X0)),complement(X1))) = join(complement(X0),complement(join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(X1))))))),
inference(forward_demodulation,[],[f735,f30]) ).
fof(f775,plain,
! [X0,X1] : join(top,complement(X1)) = join(complement(X0),complement(join(complement(X0),complement(join(top,complement(X1)))))),
inference(forward_demodulation,[],[f756,f90]) ).
fof(f784,plain,
! [X0,X1] : join(complement(X0),complement(join(complement(X0),zero))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f775,f746]) ).
fof(f791,plain,
! [X0,X1] : join(complement(X0),complement(join(zero,complement(X0)))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f784,f30]) ).
fof(f794,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f791,f669]) ).
fof(f807,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f720,f30]) ).
fof(f813,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f720,f165]) ).
fof(f873,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f58,f794]) ).
fof(f880,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f873,f38]) ).
fof(f882,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f880,f677]) ).
fof(f883,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f882,f30]) ).
fof(f884,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f883,f677]) ).
fof(f888,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f36,f884]) ).
fof(f896,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f59,f884]) ).
fof(f996,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f720,f888]) ).
fof(f1001,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f58,f888]) ).
fof(f1006,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1001,f30]) ).
fof(f1011,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X0,X1)),
inference(forward_demodulation,[],[f996,f30]) ).
fof(f1049,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1006,f884]) ).
fof(f1054,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1011,f99]) ).
fof(f1078,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1049,f29]) ).
fof(f1083,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1054,f884]) ).
fof(f1104,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1078,f807]) ).
fof(f1119,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1104,f884]) ).
fof(f1142,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1119,f165]) ).
fof(f1156,plain,
join(complement(sK1),complement(complement(converse(sK0)))) = join(complement(sK1),zero),
inference(superposition,[],[f1119,f39]) ).
fof(f1164,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f99,f1119]) ).
fof(f1204,plain,
join(complement(sK1),complement(complement(converse(sK0)))) = join(zero,complement(sK1)),
inference(forward_demodulation,[],[f1156,f30]) ).
fof(f1216,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1142,f813]) ).
fof(f1233,plain,
complement(sK1) = join(complement(sK1),complement(complement(converse(sK0)))),
inference(forward_demodulation,[],[f1204,f677]) ).
fof(f1257,plain,
complement(sK1) = join(complement(sK1),converse(sK0)),
inference(forward_demodulation,[],[f1233,f884]) ).
fof(f1512,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f59,f1216]) ).
fof(f1521,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f41,f1216]) ).
fof(f1524,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f1521,f25]) ).
fof(f1531,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f1512,f30]) ).
fof(f1544,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1531,f30]) ).
fof(f1551,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f1544,f884]) ).
fof(f1554,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f1551,f1119]) ).
fof(f1556,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f1554,f884]) ).
fof(f1558,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f1556,f1524]) ).
fof(f1639,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))),
inference(superposition,[],[f1119,f896]) ).
fof(f1642,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(complement(join(X0,X1)),join(complement(X1),X0)),
inference(forward_demodulation,[],[f1639,f884]) ).
fof(f1700,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(complement(X0))) = join(X0,join(complement(join(X0,X1)),complement(X1))),
inference(forward_demodulation,[],[f1642,f99]) ).
fof(f1753,plain,
! [X0,X1] : join(complement(X1),join(X0,complement(X1))) = join(complement(join(X0,X1)),complement(complement(X0))),
inference(forward_demodulation,[],[f1700,f1164]) ).
fof(f1800,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X0,X1))) = join(complement(X1),join(X0,complement(X1))),
inference(forward_demodulation,[],[f1753,f30]) ).
fof(f1837,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1800,f1083]) ).
fof(f1866,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1837,f884]) ).
fof(f1908,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1866,f30]) ).
fof(f3145,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f25,f1558]) ).
fof(f3190,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f884,f3145]) ).
fof(f4608,plain,
converse(complement(sK1)) = join(converse(complement(sK1)),sK0),
inference(superposition,[],[f40,f1257]) ).
fof(f4635,plain,
converse(complement(sK1)) = join(sK0,converse(complement(sK1))),
inference(forward_demodulation,[],[f4608,f30]) ).
fof(f4647,plain,
complement(converse(sK1)) = join(sK0,complement(converse(sK1))),
inference(forward_demodulation,[],[f4635,f3190]) ).
fof(f4671,plain,
join(complement(sK0),complement(converse(sK1))) = join(complement(converse(sK1)),complement(complement(converse(sK1)))),
inference(superposition,[],[f1908,f4647]) ).
fof(f4672,plain,
top = join(complement(sK0),complement(converse(sK1))),
inference(forward_demodulation,[],[f4671,f26]) ).
fof(f4731,plain,
zero != complement(top),
inference(superposition,[],[f33,f4672]) ).
fof(f4793,plain,
$false,
inference(forward_subsumption_resolution,[],[f4731,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL006+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:45:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/2.11 % (3031719)Detected formulas, will run a generic FOF schedule.
% 8.77/2.11 % (3031741)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=1745104056:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.77/2.11 % (3031744)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3508561771:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.77/2.11 % (3031742)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=358322853:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.77/2.11 % (3031747)dis-21_1_sil=8000:lcm=predicate:random_seed=1194335896: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)
% 8.77/2.11 % (3031747)Refutation not found, incomplete strategy
% 8.77/2.11 % (3031747)------------------------------
% 8.77/2.11 % (3031747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031747)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031747)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3031747)Time elapsed: 0.002 s
% 8.77/2.11 % (3031747)Peak memory usage: 88 MB
% 8.77/2.11 % (3031747)Instructions burned: 1 (million)
% 8.77/2.11 % (3031746)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=731432653:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.77/2.11 % (3031743)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=4279675676:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.77/2.11 % (3031744)Instruction limit reached!
% 8.77/2.11 % (3031744)------------------------------
% 8.77/2.11 % (3031744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031744)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031744)Termination reason: Instruction limit
% 8.77/2.11 % (3031744)Termination phase: Saturation
% 8.77/2.11 % (3031744)Time elapsed: 0.067 s
% 8.77/2.11 % (3031744)Peak memory usage: 89 MB
% 8.77/2.11 % (3031744)Instructions burned: 109 (million)
% 8.77/2.11 % (3031745)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=769167815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.77/2.11 % (3031746)Instruction limit reached!
% 8.77/2.11 % (3031746)------------------------------
% 8.77/2.11 % (3031746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031746)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031746)Termination reason: Instruction limit
% 8.77/2.11 % (3031746)Termination phase: Saturation
% 8.77/2.11 % (3031746)Time elapsed: 0.088 s
% 8.77/2.11 % (3031746)Peak memory usage: 90 MB
% 8.77/2.11 % (3031746)Instructions burned: 140 (million)
% 8.77/2.11 % (3031745)Instruction limit reached!
% 8.77/2.11 % (3031745)------------------------------
% 8.77/2.11 % (3031745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031745)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031745)Termination reason: Instruction limit
% 8.77/2.11 % (3031745)Termination phase: Saturation
% 8.77/2.11 % (3031745)Time elapsed: 0.111 s
% 8.77/2.11 % (3031745)Peak memory usage: 89 MB
% 8.77/2.11 % (3031745)Instructions burned: 120 (million)
% 8.77/2.11 % (3031754)lrs+10_1_sil=8000:sp=occurrence:random_seed=3250289879:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.77/2.11 % (3031747)------------------------------
% 8.77/2.11 % (3031747)------------------------------
% 8.77/2.11 % (3031756)lrs+10_1_sil=32000:urr=on:br=off:random_seed=808489765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.77/2.11 % (3031757)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3304848460:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.77/2.11 % (3031756)Instruction limit reached!
% 8.77/2.11 % (3031756)------------------------------
% 8.77/2.11 % (3031756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031756)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031756)Termination reason: Instruction limit
% 8.77/2.11 % (3031756)Termination phase: Saturation
% 8.77/2.11 % (3031756)Time elapsed: 0.086 s
% 8.77/2.11 % (3031756)Peak memory usage: 90 MB
% 8.77/2.11 % (3031756)Instructions burned: 159 (million)
% 8.77/2.11 % (3031754)Instruction limit reached!
% 8.77/2.11 % (3031754)------------------------------
% 8.77/2.11 % (3031754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031754)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031754)Termination reason: Instruction limit
% 8.77/2.11 % (3031754)Termination phase: Saturation
% 8.77/2.11 % (3031754)Time elapsed: 0.175 s
% 8.77/2.11 % (3031754)Peak memory usage: 91 MB
% 8.77/2.11 % (3031754)Instructions burned: 286 (million)
% 8.77/2.11 % (3031759)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=741773134:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.77/2.11 % (3031757)Instruction limit reached!
% 8.77/2.11 % (3031757)------------------------------
% 8.77/2.11 % (3031757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031757)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031757)Termination reason: Instruction limit
% 8.77/2.11 % (3031757)Termination phase: Saturation
% 8.77/2.11 % (3031757)Time elapsed: 0.107 s
% 8.77/2.11 % (3031757)Peak memory usage: 92 MB
% 8.77/2.11 % (3031757)Instructions burned: 326 (million)
% 8.77/2.11 % (3031764)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3182795163:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.77/2.11 % (3031765)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4164703437:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.77/2.11 % (3031767)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=198795499:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.77/2.11 % (3031759)Instruction limit reached!
% 8.77/2.11 % (3031759)------------------------------
% 8.77/2.11 % (3031759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031759)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031759)Termination reason: Instruction limit
% 8.77/2.11 % (3031759)Termination phase: Saturation
% 8.77/2.11 % (3031759)Time elapsed: 0.155 s
% 8.77/2.11 % (3031759)Peak memory usage: 92 MB
% 8.77/2.11 % (3031759)Instructions burned: 249 (million)
% 8.77/2.11 % (3031767)Instruction limit reached!
% 8.77/2.11 % (3031767)------------------------------
% 8.77/2.11 % (3031767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031767)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031767)Termination reason: Instruction limit
% 8.77/2.11 % (3031767)Termination phase: Saturation
% 8.77/2.11 % (3031767)Time elapsed: 0.039 s
% 8.77/2.11 % (3031767)Peak memory usage: 91 MB
% 8.77/2.11 % (3031767)Instructions burned: 114 (million)
% 8.77/2.11 % (3031743)Refutation not found, incomplete strategy
% 8.77/2.11 % (3031743)------------------------------
% 8.77/2.11 % (3031743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031743)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031743)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3031743)Time elapsed: 0.608 s
% 8.77/2.11 % (3031743)Peak memory usage: 128 MB
% 8.77/2.11 % (3031743)Instructions burned: 901 (million)
% 8.77/2.11 % (3031764)Instruction limit reached!
% 8.77/2.11 % (3031764)------------------------------
% 8.77/2.11 % (3031764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031764)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031764)Termination reason: Instruction limit
% 8.77/2.11 % (3031764)Termination phase: Saturation
% 8.77/2.11 % (3031764)Time elapsed: 0.174 s
% 8.77/2.11 % (3031764)Peak memory usage: 90 MB
% 8.77/2.11 % (3031764)Instructions burned: 294 (million)
% 8.77/2.11 % (3031772)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=944585486:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.77/2.11 % (3031771)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1658087690:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.77/2.11 % (3031771)Refutation not found, incomplete strategy
% 8.77/2.11 % (3031771)------------------------------
% 8.77/2.11 % (3031771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031771)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031771)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3031771)Time elapsed: 0.001 s
% 8.77/2.11 % (3031771)Peak memory usage: 88 MB
% 8.77/2.11 % (3031772)Instruction limit reached!
% 8.77/2.11 % (3031772)------------------------------
% 8.77/2.11 % (3031772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031772)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031772)Termination reason: Instruction limit
% 8.77/2.11 % (3031772)Termination phase: Saturation
% 8.77/2.11 % (3031772)Time elapsed: 0.036 s
% 8.77/2.11 % (3031772)Peak memory usage: 89 MB
% 8.77/2.11 % (3031772)Instructions burned: 118 (million)
% 8.77/2.11 % (3031742)First to succeed.
% 8.77/2.11 % (3031742)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3031719"
% 8.77/2.11 % (3031776)lrs+10_1_sil=8000:sp=occurrence:random_seed=1368233366:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.77/2.11 % (3031743)------------------------------
% 8.77/2.11 % (3031743)------------------------------
% 8.77/2.11 % (3031779)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2022742209:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.77/2.11 % (3031779)Refutation not found, incomplete strategy
% 8.77/2.11 % (3031779)------------------------------
% 8.77/2.11 % (3031779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3031779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3031779)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3031779)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3031779)Time elapsed: 0.001 s
% 8.77/2.11 % (3031779)Peak memory usage: 88 MB
% 8.77/2.11 % (3031771)------------------------------
% 8.77/2.11 % (3031771)------------------------------
% 8.77/2.11 % (3031741)Also succeeded, but the first one will report.
% 8.77/2.11 % (3031779)------------------------------
% 8.77/2.11 % (3031779)------------------------------
% 8.77/2.11 % (3031809)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2673835245:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.77/2.11 % (3031742)Refutation found. Thanks to Tanya!
% 8.77/2.11 % SZS status Theorem for theBenchmark
% 8.77/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.30 % (3031742)------------------------------
% 0.20/2.30 % (3031742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.30 % (3031742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.30 % (3031742)CaDiCaL version: 2.1.3
% 0.20/2.30 % (3031742)Termination reason: Refutation
% 0.20/2.30 % (3031742)Time elapsed: 0.844 s
% 0.20/2.30 % (3031742)Peak memory usage: 131 MB
% 0.20/2.30 % (3031742)Instructions burned: 1273 (million)
% 0.20/2.30 % (3031742)------------------------------
% 0.20/2.30 % (3031742)------------------------------
% 0.20/2.30 % (3031719)Success in time 1.285 s
% 0.20/2.30 % Vampire exiting
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