%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:38 PM UTC 2026
% Result : Theorem 11.09s 2.48s
% Output : Refutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 27
% Syntax : Number of formulae : 148 ( 132 unt; 15 def)
% Number of atoms : 164 ( 145 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 12 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 133 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1] :
( join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1))
& join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1))
& join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1)))
| converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1)))
| converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
( meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1)))
| converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
( complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1)))))
| converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) ),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21,f21,f21]) ).
fof(f34,definition,
sF2 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f35,plain,
converse(sK0) = sF2,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f37,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF4 = converse(sK1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f39,plain,
converse(sK1) = sF4,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f41,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f43,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f45,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f47,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF9 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f49,plain,
complement(sK1) = sF9,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f51,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f53,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF12 = converse(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f55,plain,
converse(sF11) = sF12,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF13 = join(sF12,sF7),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f57,plain,
join(sF12,sF7) = sF13,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF14 = join(sF7,sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f59,plain,
join(sF7,sF12) = sF14,
inference(reorient_equations,[],[f58]) ).
fof(f60,plain,
( sF7 != sF13
| sF12 != sF14 ),
inference(definition_folding,[],[f33,f59,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f55,f53,f51,f49,f47,f57,f45,f43,f41,f39,f37,f35,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f62,definition,
( spl15_1
<=> sF12 = sF14 ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f64,plain,
( sF12 != sF14
| spl15_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl15_2
<=> sF7 = sF13 ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f68,plain,
( sF7 != sF13
| spl15_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f60,f66,f62]) ).
fof(f87,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f91,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f106,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f107,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f110,plain,
sF13 = join(sF7,sF12),
inference(superposition,[],[f57,f18]) ).
fof(f111,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f110,f59]) ).
fof(f119,plain,
( sF12 != sF13
| spl15_1 ),
inference(superposition,[],[f64,f111]) ).
fof(f140,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f28,f25]) ).
fof(f159,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f169,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f386,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f87,f29]) ).
fof(f544,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f672,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f544,f23]) ).
fof(f687,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f672,f25]) ).
fof(f704,plain,
one = converse(one),
inference(superposition,[],[f23,f687]) ).
fof(f709,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f687,f704]) ).
fof(f727,plain,
! [X0] : complement(X0) = join(complement(composition(converse(one),X0)),complement(X0)),
inference(superposition,[],[f140,f709]) ).
fof(f728,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f727,f687]) ).
fof(f748,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f159,f728]) ).
fof(f755,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f748,f20]) ).
fof(f779,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f755,f755]) ).
fof(f780,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f755,f386]) ).
fof(f781,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f755,f32]) ).
fof(f785,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f169,f755]) ).
fof(f829,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f781]) ).
fof(f858,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f159,f779]) ).
fof(f875,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f858,f32]) ).
fof(f879,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f875,f829]) ).
fof(f907,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f755,f879]) ).
fof(f916,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f18,f879]) ).
fof(f925,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f781,f879]) ).
fof(f926,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f925,f781]) ).
fof(f967,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f106,f926]) ).
fof(f992,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f907,f18]) ).
fof(f1117,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f992,f907]) ).
fof(f1169,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1117,f916]) ).
fof(f1186,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1169,f916]) ).
fof(f1200,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1186,f19]) ).
fof(f1208,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1200,f926]) ).
fof(f1245,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f169,f1208]) ).
fof(f1878,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f20,f967]) ).
fof(f1885,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f107,f967]) ).
fof(f1898,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1885,f916]) ).
fof(f1904,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1878,f879]) ).
fof(f1965,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f1898,f916]) ).
fof(f1971,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1904,f785]) ).
fof(f2008,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f1965,f19]) ).
fof(f2031,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2008,f1971]) ).
fof(f2041,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2031,f1245]) ).
fof(f2079,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = join(converse(complement(converse(complement(X0)))),complement(converse(top))),
inference(superposition,[],[f2041,f386]) ).
fof(f2140,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f2079,f780]) ).
fof(f2236,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1971,f386]) ).
fof(f2352,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f2236,f780]) ).
fof(f2468,plain,
! [X0] : converse(converse(X0)) = join(converse(complement(converse(complement(converse(converse(X0)))))),X0),
inference(superposition,[],[f91,f2352]) ).
fof(f2470,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f2468,f25]) ).
fof(f2489,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2470,f2140]) ).
fof(f2514,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f25,f2489]) ).
fof(f2534,plain,
converse(sK0) = complement(converse(sF8)),
inference(superposition,[],[f2514,f47]) ).
fof(f2535,plain,
converse(sK1) = complement(converse(sF9)),
inference(superposition,[],[f2514,f49]) ).
fof(f2539,plain,
complement(converse(sF11)) = converse(sF10),
inference(superposition,[],[f2514,f53]) ).
fof(f2600,plain,
complement(sF12) = converse(sF10),
inference(forward_demodulation,[],[f2539,f55]) ).
fof(f2603,plain,
sF4 = complement(converse(sF9)),
inference(forward_demodulation,[],[f2535,f39]) ).
fof(f2604,plain,
sF2 = complement(converse(sF8)),
inference(forward_demodulation,[],[f2534,f35]) ).
fof(f2709,plain,
complement(sF4) = converse(sF9),
inference(superposition,[],[f926,f2603]) ).
fof(f2722,plain,
sF5 = converse(sF9),
inference(forward_demodulation,[],[f2709,f41]) ).
fof(f2812,plain,
complement(sF2) = converse(sF8),
inference(superposition,[],[f926,f2604]) ).
fof(f2825,plain,
sF3 = converse(sF8),
inference(forward_demodulation,[],[f2812,f37]) ).
fof(f2856,plain,
! [X0] : converse(join(sF8,X0)) = join(sF3,converse(X0)),
inference(superposition,[],[f26,f2825]) ).
fof(f3598,plain,
converse(sF10) = join(sF3,converse(sF9)),
inference(superposition,[],[f2856,f51]) ).
fof(f3657,plain,
join(sF3,sF5) = converse(sF10),
inference(forward_demodulation,[],[f3598,f2722]) ).
fof(f3674,plain,
join(sF3,sF5) = complement(sF12),
inference(forward_demodulation,[],[f3657,f2600]) ).
fof(f3688,plain,
sF6 = complement(sF12),
inference(forward_demodulation,[],[f3674,f43]) ).
fof(f3720,plain,
sF12 = join(sF12,complement(sF6)),
inference(superposition,[],[f779,f3688]) ).
fof(f3724,plain,
complement(sF6) = sF12,
inference(superposition,[],[f926,f3688]) ).
fof(f3737,plain,
sF7 = sF12,
inference(forward_demodulation,[],[f3724,f45]) ).
fof(f3740,plain,
sF12 = join(sF12,sF7),
inference(forward_demodulation,[],[f3720,f45]) ).
fof(f3752,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f3740,f57]) ).
fof(f3759,plain,
( $false
| spl15_1 ),
inference(forward_subsumption_resolution,[],[f3752,f119]) ).
fof(f3760,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f3759]) ).
fof(f3763,plain,
sF7 = sF13,
inference(forward_demodulation,[],[f3752,f3737]) ).
fof(f3765,plain,
( $false
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f3763,f68]) ).
fof(f3766,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f3765]) ).
cnf(s1,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(sat_conversion,[],[f69]) ).
cnf(s2,plain,
spl15_1,
inference(sat_conversion,[],[f3760]) ).
cnf(s3,plain,
spl15_2,
inference(sat_conversion,[],[f3766]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f3769,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:52:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.09/2.48 % (2814561)Detected formulas, will run a generic FOF schedule.
% 11.09/2.48 % (2814647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4265104915:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.09/2.48 % (2814647)Instruction limit reached!
% 11.09/2.48 % (2814647)------------------------------
% 11.09/2.48 % (2814647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814647)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814647)Termination reason: Instruction limit
% 11.09/2.48 % (2814647)Termination phase: Saturation
% 11.09/2.48 % (2814647)Time elapsed: 0.060 s
% 11.09/2.48 % (2814647)Peak memory usage: 89 MB
% 11.09/2.48 % (2814647)Instructions burned: 119 (million)
% 11.09/2.48 % (2814645)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=495177084:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.09/2.48 % (2814644)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=3036632810:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.09/2.48 % (2814649)dis-21_1_sil=8000:lcm=predicate:random_seed=79409812: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)
% 11.09/2.48 % (2814643)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=2168520827:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.09/2.48 % (2814646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2403280311:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.09/2.48 % (2814648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=416296777:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.09/2.48 % (2814649)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814649)------------------------------
% 11.09/2.48 % (2814649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814649)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814649)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814649)Time elapsed: 0.003 s
% 11.09/2.48 % (2814649)Peak memory usage: 88 MB
% 11.09/2.48 % (2814649)Instructions burned: 1 (million)
% 11.09/2.48 % (2814646)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814646)------------------------------
% 11.09/2.48 % (2814646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814646)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814646)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814646)Time elapsed: 0.003 s
% 11.09/2.48 % (2814646)Peak memory usage: 88 MB
% 11.09/2.48 % (2814646)Instructions burned: 1 (million)
% 11.09/2.48 % (2814648)Instruction limit reached!
% 11.09/2.48 % (2814648)------------------------------
% 11.09/2.48 % (2814648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814648)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814648)Termination reason: Instruction limit
% 11.09/2.48 % (2814648)Termination phase: Saturation
% 11.09/2.48 % (2814648)Time elapsed: 0.135 s
% 11.09/2.48 % (2814648)Peak memory usage: 90 MB
% 11.09/2.48 % (2814648)Instructions burned: 140 (million)
% 11.09/2.48 % (2814679)lrs+10_1_sil=8000:sp=occurrence:random_seed=1918303253:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.09/2.48 % (2814679)Instruction limit reached!
% 11.09/2.48 % (2814679)------------------------------
% 11.09/2.48 % (2814679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814679)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814679)Termination reason: Instruction limit
% 11.09/2.48 % (2814679)Termination phase: Saturation
% 11.09/2.48 % (2814679)Time elapsed: 0.155 s
% 11.09/2.48 % (2814679)Peak memory usage: 92 MB
% 11.09/2.48 % (2814679)Instructions burned: 286 (million)
% 11.09/2.48 % (2814649)------------------------------
% 11.09/2.48 % (2814649)------------------------------
% 11.09/2.48 % (2814646)------------------------------
% 11.09/2.48 % (2814646)------------------------------
% 11.09/2.48 % (2814695)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3380202090:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.09/2.48 % (2814700)lrs+1011_1_sil=32000:sp=occurrence:random_seed=132468677:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 11.09/2.48 % (2814695)Instruction limit reached!
% 11.09/2.48 % (2814695)------------------------------
% 11.09/2.48 % (2814695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814695)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814695)Termination reason: Instruction limit
% 11.09/2.48 % (2814695)Termination phase: Saturation
% 11.09/2.48 % (2814695)Time elapsed: 0.145 s
% 11.09/2.48 % (2814695)Peak memory usage: 89 MB
% 11.09/2.48 % (2814695)Instructions burned: 157 (million)
% 11.09/2.48 % (2814704)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=808357948:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.09/2.48 % (2814704)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814704)------------------------------
% 11.09/2.48 % (2814704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814704)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814704)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814704)Time elapsed: 0.002 s
% 11.09/2.48 % (2814704)Peak memory usage: 88 MB
% 11.09/2.48 % (2814704)Instructions burned: 2 (million)
% 11.09/2.48 % (2814703)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=606499090:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.09/2.48 % (2814704)------------------------------
% 11.09/2.48 % (2814704)------------------------------
% 11.09/2.48 % (2814709)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2021988021:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.09/2.48 % (2814700)Instruction limit reached!
% 11.09/2.48 % (2814700)------------------------------
% 11.09/2.48 % (2814700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814700)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814700)Termination reason: Instruction limit
% 11.09/2.48 % (2814700)Termination phase: Saturation
% 11.09/2.48 % (2814700)Time elapsed: 0.323 s
% 11.09/2.48 % (2814700)Peak memory usage: 92 MB
% 11.09/2.48 % (2814700)Instructions burned: 325 (million)
% 11.09/2.48 % (2814645)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814645)------------------------------
% 11.09/2.48 % (2814645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814645)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814645)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814645)Time elapsed: 0.931 s
% 11.09/2.48 % (2814645)Peak memory usage: 128 MB
% 11.09/2.48 % (2814645)Instructions burned: 895 (million)
% 11.09/2.48 % (2814703)Instruction limit reached!
% 11.09/2.48 % (2814703)------------------------------
% 11.09/2.48 % (2814703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814703)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814703)Termination reason: Instruction limit
% 11.09/2.48 % (2814703)Termination phase: Saturation
% 11.09/2.48 % (2814703)Time elapsed: 0.246 s
% 11.09/2.48 % (2814703)Peak memory usage: 91 MB
% 11.09/2.48 % (2814703)Instructions burned: 248 (million)
% 11.09/2.48 % (2814713)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1013554247:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 11.09/2.48 % (2814713)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814713)------------------------------
% 11.09/2.48 % (2814713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814713)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814713)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814713)Time elapsed: 0.003 s
% 11.09/2.48 % (2814713)Peak memory usage: 88 MB
% 11.09/2.48 % (2814713)Instructions burned: 1 (million)
% 11.09/2.48 % (2814718)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=751624021:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 11.09/2.48 % (2814716)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1775990566:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.09/2.48 % (2814716)Refutation not found, incomplete strategy
% 11.09/2.48 % (2814716)------------------------------
% 11.09/2.48 % (2814716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814716)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814716)Termination reason: Refutation not found, incomplete strategy
% 11.09/2.48 % (2814716)Time elapsed: 0.002 s
% 11.09/2.48 % (2814716)Peak memory usage: 88 MB
% 11.09/2.48 % (2814718)Instruction limit reached!
% 11.09/2.48 % (2814718)------------------------------
% 11.09/2.48 % (2814718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.09/2.48 % (2814718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.09/2.48 % (2814718)CaDiCaL version: 2.1.3
% 11.09/2.48 % (2814718)Termination reason: Instruction limit
% 11.09/2.48 % (2814718)Termination phase: Saturation
% 11.09/2.48 % (2814718)Time elapsed: 0.092 s
% 11.09/2.48 % (2814718)Peak memory usage: 89 MB
% 11.09/2.48 % (2814718)Instructions burned: 114 (million)
% 11.09/2.48 % (2814643)First to succeed.
% 11.09/2.48 % (2814643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2814561"
% 11.09/2.48 % (2814645)------------------------------
% 11.09/2.48 % (2814645)------------------------------
% 11.09/2.48 % (2814713)------------------------------
% 11.09/2.48 % (2814713)------------------------------
% 11.09/2.48 % (2814643)Refutation found. Thanks to Tanya!
% 11.09/2.48 % SZS status Theorem for theBenchmark
% 11.09/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 11.89/2.67 % (2814643)------------------------------
% 11.89/2.67 % (2814643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.67 % (2814643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.67 % (2814643)CaDiCaL version: 2.1.3
% 11.89/2.67 % (2814643)Termination reason: Refutation
% 11.89/2.67 % (2814643)Time elapsed: 1.231 s
% 11.89/2.67 % (2814643)Peak memory usage: 134 MB
% 11.89/2.67 % (2814643)Instructions burned: 1428 (million)
% 11.89/2.67 % (2814643)------------------------------
% 11.89/2.67 % (2814643)------------------------------
% 11.89/2.67 % (2814561)Success in time 1.604 s
% 11.89/2.67 % Vampire exiting
%------------------------------------------------------------------------------