%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050-1 : 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 : n001.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 12:34:09 PM UTC 2026
% Result : Unsatisfiable 5.40s 2.04s
% Output : Refutation 9.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 14
% Syntax : Number of formulae : 145 ( 145 unt; 0 def)
% Number of atoms : 145 ( 144 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 242 ( 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f19,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f20,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f21,plain,
zero = complement(top),
inference(forward_demodulation,[],[f18,f15]) ).
fof(f22,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),
inference(superposition,[],[f19,f19]) ).
fof(f23,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f19,f19]) ).
fof(f24,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,[],[f23,f1]) ).
fof(f25,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f26,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f25,f2]) ).
fof(f34,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f19,f15]) ).
fof(f37,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f34,f1]) ).
fof(f38,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f37,f21]) ).
fof(f41,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f19,f1]) ).
fof(f42,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f19,f1]) ).
fof(f78,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f97,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f78,f8]) ).
fof(f100,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f97,f10]) ).
fof(f105,plain,
one = converse(one),
inference(superposition,[],[f8,f100]) ).
fof(f107,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f108,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f100]) ).
fof(f122,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f108,f105]) ).
fof(f124,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f100,f105]) ).
fof(f145,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f20,f100]) ).
fof(f149,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f145,f124]) ).
fof(f193,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f107,f12]) ).
fof(f200,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f193,f11]) ).
fof(f211,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f200,f11]) ).
fof(f219,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f211,f12]) ).
fof(f225,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f228,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f243,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(complement(X0)))))),
inference(superposition,[],[f26,f149]) ).
fof(f255,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(X0),complement(complement(X0))))),
inference(forward_demodulation,[],[f243,f149]) ).
fof(f262,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f255,f15]) ).
fof(f264,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f262,f21]) ).
fof(f266,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f264,f1]) ).
fof(f270,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f38,f266]) ).
fof(f272,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f270,f149]) ).
fof(f283,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f42,f272]) ).
fof(f285,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f266,f272]) ).
fof(f367,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f225,f15]) ).
fof(f392,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f19]) ).
fof(f408,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f410,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f440,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f392,f19]) ).
fof(f443,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,[],[f392,f149]) ).
fof(f459,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f443,f19]) ).
fof(f462,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f440,f1]) ).
fof(f484,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f462,f459]) ).
fof(f523,plain,
! [X0] : top = join(top,complement(join(zero,X0))),
inference(superposition,[],[f484,f21]) ).
fof(f524,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f484,f272]) ).
fof(f532,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f484,f15]) ).
fof(f566,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f532,f21]) ).
fof(f571,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f523,f285]) ).
fof(f594,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f571,f272]) ).
fof(f600,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f1,f594]) ).
fof(f718,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(superposition,[],[f225,f600]) ).
fof(f849,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f219]) ).
fof(f866,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f849,f10]) ).
fof(f900,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f866,f8]) ).
fof(f992,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f900,f15]) ).
fof(f1065,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1))))),complement(complement(X0))))),
inference(superposition,[],[f41,f26]) ).
fof(f1137,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(complement(X0)),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))))),
inference(forward_demodulation,[],[f1065,f1]) ).
fof(f1167,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f1137,f524]) ).
fof(f1189,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(complement(complement(X0))),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1167,f1]) ).
fof(f1207,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,[],[f1189,f272]) ).
fof(f1534,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f524,f1]) ).
fof(f1736,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f228,f594]) ).
fof(f1789,plain,
top = converse(top),
inference(superposition,[],[f600,f1736]) ).
fof(f1813,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f78,f1789]) ).
fof(f1914,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(X1),complement(join(complement(X1),complement(X0)))),
inference(superposition,[],[f26,f1534]) ).
fof(f1928,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(complement(join(X1,X0)),complement(complement(X0))))),
inference(superposition,[],[f41,f1534]) ).
fof(f1931,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),complement(join(complement(complement(X0)),complement(join(X1,X0))))),
inference(forward_demodulation,[],[f1928,f1]) ).
fof(f1968,plain,
! [X0,X1] : join(X1,X0) = join(complement(complement(X0)),join(X1,X0)),
inference(forward_demodulation,[],[f1931,f1914]) ).
fof(f1995,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f1968,f410]) ).
fof(f2004,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f1995,f272]) ).
fof(f2036,plain,
top = composition(top,top),
inference(superposition,[],[f594,f992]) ).
fof(f2067,plain,
! [X0] : composition(top,X0) = composition(top,composition(top,X0)),
inference(superposition,[],[f7,f2036]) ).
fof(f2264,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),join(complement(X0),complement(X1))) = join(complement(join(X1,complement(X0))),complement(join(complement(join(complement(join(X1,complement(X0))),join(complement(X0),complement(X1)))),complement(complement(X0))))),
inference(superposition,[],[f22,f41]) ).
fof(f2319,plain,
! [X0,X1] : join(complement(join(X1,complement(X0))),join(complement(X0),complement(X1))) = join(complement(join(X1,complement(X0))),complement(join(complement(complement(X0)),complement(join(complement(join(X1,complement(X0))),join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f2264,f1]) ).
fof(f2370,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))) = join(complement(join(X1,complement(X0))),complement(join(complement(complement(X0)),complement(join(join(complement(X0),complement(X1)),complement(join(X1,complement(X0)))))))),
inference(forward_demodulation,[],[f2319,f1]) ).
fof(f2416,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))) = join(complement(join(X1,complement(X0))),complement(join(complement(complement(X0)),complement(join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))))))),
inference(forward_demodulation,[],[f2370,f2]) ).
fof(f2461,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))) = join(complement(join(X1,complement(X0))),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f2416,f524]) ).
fof(f2491,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))) = join(complement(complement(complement(X0))),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2461,f1]) ).
fof(f2512,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(X1,complement(X0))))) = join(complement(X0),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2491,f272]) ).
fof(f2529,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f2512,f524]) ).
fof(f2646,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(superposition,[],[f2529,f272]) ).
fof(f2825,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f2646,f1]) ).
fof(f5275,plain,
! [X2,X0,X1] : join(complement(join(complement(X0),X2)),join(X0,X1)) = join(join(complement(join(complement(X0),complement(X2))),X1),complement(join(complement(X0),X2))),
inference(superposition,[],[f2004,f392]) ).
fof(f5429,plain,
! [X2,X0,X1] : join(complement(join(complement(X0),X2)),join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(complement(X0),X2)),join(X0,X1)),
inference(forward_demodulation,[],[f5275,f1]) ).
fof(f5483,plain,
! [X2,X0,X1] : join(complement(join(complement(X0),X2)),join(complement(join(complement(X0),complement(X2))),X1)) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(forward_demodulation,[],[f5429,f410]) ).
fof(f5497,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(forward_demodulation,[],[f5483,f392]) ).
fof(f9224,plain,
! [X0,X1] : complement(join(X0,complement(join(complement(X1),X0)))) = join(complement(join(join(X0,complement(join(complement(X1),X0))),X1)),complement(top)),
inference(superposition,[],[f283,f408]) ).
fof(f9380,plain,
! [X0,X1] : complement(join(X0,complement(join(complement(X1),X0)))) = join(complement(top),complement(join(join(X0,complement(join(complement(X1),X0))),X1))),
inference(forward_demodulation,[],[f9224,f1]) ).
fof(f9498,plain,
! [X0,X1] : complement(join(X0,complement(join(complement(X1),X0)))) = join(complement(top),complement(join(X1,join(X0,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f9380,f1]) ).
fof(f9607,plain,
! [X0,X1] : join(complement(top),complement(join(X1,X0))) = complement(join(X0,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f9498,f5497]) ).
fof(f9699,plain,
! [X0,X1] : join(complement(top),complement(join(X1,X0))) = complement(join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f9607,f2646]) ).
fof(f9770,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(top),complement(join(X1,X0))),
inference(forward_demodulation,[],[f9699,f272]) ).
fof(f9825,plain,
! [X0,X1] : complement(join(X0,X1)) = join(zero,complement(join(X1,X0))),
inference(forward_demodulation,[],[f9770,f21]) ).
fof(f9864,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f9825,f266]) ).
fof(f10071,plain,
! [X2,X0,X1] : join(complement(X2),join(complement(join(X0,X1)),complement(join(complement(X2),join(X1,X0))))) = join(complement(X2),complement(join(complement(X2),join(X1,X0)))),
inference(superposition,[],[f1207,f9864]) ).
fof(f10072,plain,
! [X2,X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),complement(join(X2,join(X1,X0)))),
inference(superposition,[],[f1534,f9864]) ).
fof(f10088,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X1,X0))) = join(complement(X2),join(complement(join(X0,X1)),complement(join(complement(X2),join(X1,X0))))),
inference(forward_demodulation,[],[f10071,f2825]) ).
fof(f10170,plain,
! [X2,X0,X1] : join(complement(X2),complement(join(X0,X1))) = join(complement(X2),complement(join(X1,X0))),
inference(forward_demodulation,[],[f10088,f10072]) ).
fof(f10278,plain,
! [X2,X0,X1] : join(X0,complement(join(X1,X2))) = join(X0,complement(join(X2,X1))),
inference(superposition,[],[f10170,f272]) ).
fof(f11008,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f2825,f367]) ).
fof(f11056,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f11008,f1789]) ).
fof(f11097,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f11056,f21]) ).
fof(f11126,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f11097,f566]) ).
fof(f11683,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f225,f11126]) ).
fof(f11693,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f11683,f10]) ).
fof(f11796,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(join(converse(complement(converse(complement(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f283,f11693]) ).
fof(f11824,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(complement(X0)),complement(join(converse(complement(converse(complement(complement(X0))))),X0))),
inference(forward_demodulation,[],[f11796,f1]) ).
fof(f11845,plain,
! [X0] : complement(converse(complement(converse(complement(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,converse(complement(converse(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f11824,f10278]) ).
fof(f11857,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(join(X0,converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f11845,f272]) ).
fof(f11862,plain,
! [X0] : complement(converse(complement(converse(X0)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f11857,f2825]) ).
fof(f11865,plain,
! [X0] : complement(converse(complement(converse(X0)))) = X0,
inference(forward_demodulation,[],[f11862,f11126]) ).
fof(f11873,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f11865,f10]) ).
fof(f12058,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f272,f11873]) ).
fof(f13228,plain,
! [X0] : complement(composition(top,X0)) = join(complement(composition(top,X0)),composition(converse(top),complement(composition(top,X0)))),
inference(superposition,[],[f20,f2067]) ).
fof(f13243,plain,
! [X0] : complement(composition(top,X0)) = composition(join(one,converse(top)),complement(composition(top,X0))),
inference(forward_demodulation,[],[f13228,f122]) ).
fof(f13257,plain,
! [X0] : complement(composition(top,X0)) = composition(converse(top),complement(composition(top,X0))),
inference(forward_demodulation,[],[f13243,f718]) ).
fof(f13266,plain,
! [X0] : complement(composition(top,X0)) = composition(top,complement(composition(top,X0))),
inference(forward_demodulation,[],[f13257,f1789]) ).
fof(f13291,plain,
! [X0] : converse(complement(composition(top,X0))) = composition(converse(complement(composition(top,X0))),top),
inference(superposition,[],[f1813,f13266]) ).
fof(f13311,plain,
! [X0] : complement(converse(composition(top,X0))) = composition(complement(converse(composition(top,X0))),top),
inference(forward_demodulation,[],[f13291,f12058]) ).
fof(f13328,plain,
! [X0] : complement(composition(converse(X0),top)) = composition(complement(composition(converse(X0),top)),top),
inference(forward_demodulation,[],[f13311,f1813]) ).
fof(f13345,plain,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(superposition,[],[f13328,f10]) ).
fof(f13448,plain,
complement(composition(sk1,top)) != complement(composition(sk1,top)),
inference(superposition,[],[f17,f13345]) ).
fof(f13468,plain,
$false,
inference(trivial_inequality_removal,[],[f13448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL050-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:03:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 5.40/2.04 % (4065601)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.40/2.04 % (4065612)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2659261345:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.40/2.04 % (4065610)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1427534109:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.40/2.04 % (4065609)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1086870844:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.40/2.04 % (4065606)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1784599754:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.40/2.04 % (4065607)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1462502172:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.40/2.04 % (4065608)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1819398101:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.40/2.04 % (4065611)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4023013035:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.40/2.04 % (4065609)Instruction limit reached!
% 5.40/2.04 % (4065609)------------------------------
% 5.40/2.04 % (4065609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065609)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065609)Termination reason: Instruction limit
% 5.40/2.04 % (4065609)Termination phase: Saturation
% 5.40/2.04 % (4065609)Time elapsed: 0.083 s
% 5.40/2.04 % (4065609)Peak memory usage: 88 MB
% 5.40/2.04 % (4065609)Instructions burned: 137 (million)
% 5.40/2.04 % (4065610)Instruction limit reached!
% 5.40/2.04 % (4065610)------------------------------
% 5.40/2.04 % (4065610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065610)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065610)Termination reason: Instruction limit
% 5.40/2.04 % (4065610)Termination phase: Saturation
% 5.40/2.04 % (4065610)Time elapsed: 0.106 s
% 5.40/2.04 % (4065610)Peak memory usage: 89 MB
% 5.40/2.04 % (4065610)Instructions burned: 182 (million)
% 5.40/2.04 % (4065611)Instruction limit reached!
% 5.40/2.04 % (4065611)------------------------------
% 5.40/2.04 % (4065611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065611)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065611)Termination reason: Instruction limit
% 5.40/2.04 % (4065611)Termination phase: Saturation
% 5.40/2.04 % (4065611)Time elapsed: 0.169 s
% 5.40/2.04 % (4065611)Peak memory usage: 90 MB
% 5.40/2.04 % (4065611)Instructions burned: 257 (million)
% 5.40/2.04 % (4065620)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3826281695:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.40/2.04 % (4065621)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3661779285:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.40/2.04 % (4065622)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=223734861:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.40/2.04 % (4065612)Instruction limit reached!
% 5.40/2.04 % (4065612)------------------------------
% 5.40/2.04 % (4065612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065612)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065612)Termination reason: Instruction limit
% 5.40/2.04 % (4065612)Termination phase: Saturation
% 5.40/2.04 % (4065612)Time elapsed: 0.354 s
% 5.40/2.04 % (4065612)Peak memory usage: 99 MB
% 5.40/2.04 % (4065612)Instructions burned: 1191 (million)
% 5.40/2.04 % (4065626)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2648341072:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 5.40/2.04 % (4065622)Instruction limit reached!
% 5.40/2.04 % (4065622)------------------------------
% 5.40/2.04 % (4065622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065622)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065622)Termination reason: Instruction limit
% 5.40/2.04 % (4065622)Termination phase: Saturation
% 5.40/2.04 % (4065622)Time elapsed: 0.120 s
% 5.40/2.04 % (4065622)Peak memory usage: 90 MB
% 5.40/2.04 % (4065622)Instructions burned: 216 (million)
% 5.40/2.04 % (4065626)Instruction limit reached!
% 5.40/2.04 % (4065626)------------------------------
% 5.40/2.04 % (4065626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/2.04 % (4065626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/2.04 % (4065626)CaDiCaL version: 2.1.3
% 5.40/2.04 % (4065626)Termination reason: Instruction limit
% 5.40/2.04 % (4065626)Termination phase: Saturation
% 5.40/2.04 % (4065626)Time elapsed: 0.106 s
% 5.40/2.04 % (4065626)Peak memory usage: 93 MB
% 5.40/2.04 % (4065626)Instructions burned: 319 (million)
% 5.40/2.04 % (4065628)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3411120813:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 5.40/2.04 % (4065629)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1200487492:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 5.40/2.04 % (4065607)First to succeed.
% 5.40/2.04 % (4065607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4065601"
% 5.40/2.04 % (4065629)Also succeeded, but the first one will report.
% 5.40/2.04 % (4065607)Refutation found. Thanks to Tanya!
% 5.40/2.04 % SZS status Unsatisfiable for theBenchmark
% 8.85/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 9.00/2.23 % (4065607)------------------------------
% 9.00/2.23 % (4065607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.23 % (4065607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.23 % (4065607)CaDiCaL version: 2.1.3
% 9.00/2.23 % (4065607)Termination reason: Refutation
% 9.00/2.23 % (4065607)Time elapsed: 0.865 s
% 9.00/2.23 % (4065607)Peak memory usage: 136 MB
% 9.00/2.23 % (4065607)Instructions burned: 1827 (million)
% 9.00/2.23 % (4065607)------------------------------
% 9.00/2.23 % (4065607)------------------------------
% 9.00/2.23 % (4065601)Success in time 1.187 s
% 9.00/2.23 % Vampire exiting
%------------------------------------------------------------------------------