%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL041-1 : 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 : n010.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 12:34:04 PM UTC 2026
% Result : Unsatisfiable 19.49s 4.09s
% Output : Refutation 23.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 40
% Syntax : Number of formulae : 241 ( 107 unt; 25 def)
% Number of atoms : 547 ( 202 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 603 ( 297 ~; 291 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 192 ( 0 sgn 192 !; 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,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
zero != meet(composition(sk1,sk2),composition(sk1,complement(sk2))),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
zero != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,complement(sk2))))),
inference(definition_unfolding,[],[f20,f6]) ).
fof(f23,definition,
sF0 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
converse(sk1) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF1 = composition(sF0,sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
composition(sF0,sk1) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF2 = join(sF1,one),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f28,plain,
join(sF1,one) = sF2,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
one = sF2,
inference(definition_folding,[],[f18,f28,f26,f24]) ).
fof(f30,definition,
sF3 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
composition(sk1,sk2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF5 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
complement(sk2) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = composition(sk1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
composition(sk1,sF5) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF8 = join(sF4,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f41,plain,
join(sF4,sF7) = sF8,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f43,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
zero != sF9,
inference(definition_folding,[],[f22,f43,f41,f39,f37,f35,f33,f31]) ).
fof(f45,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f15]) ).
fof(f46,plain,
! [X0] : composition(X0,sF2) = X0,
inference(forward_demodulation,[],[f8,f29]) ).
fof(f47,plain,
sF2 = join(sF1,sF2),
inference(forward_demodulation,[],[f28,f29]) ).
fof(f49,definition,
( spl10_1
<=> complement(sF8) = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f51,plain,
( complement(sF8) = sF9
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
spl10_1,
inference(avatar_split_clause,[],[f43,f49]) ).
fof(f59,definition,
( spl10_3
<=> converse(sk1) = sF0 ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f61,plain,
( converse(sk1) = sF0
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
spl10_3,
inference(avatar_split_clause,[],[f24,f59]) ).
fof(f64,definition,
( spl10_4
<=> sF2 = join(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f66,plain,
( sF2 = join(sF1,sF2)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
spl10_4,
inference(avatar_split_clause,[],[f47,f64]) ).
fof(f77,definition,
( spl10_5
<=> complement(sk2) = sF5 ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f79,plain,
( complement(sk2) = sF5
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl10_5,
inference(avatar_split_clause,[],[f35,f77]) ).
fof(f81,plain,
( sk1 = converse(sF0)
| ~ spl10_3 ),
inference(superposition,[],[f10,f61]) ).
fof(f83,definition,
( spl10_6
<=> zero = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f85,plain,
( zero != sF9
| spl10_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
~ spl10_6,
inference(avatar_split_clause,[],[f44,f83]) ).
fof(f88,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f97,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f100,definition,
( spl10_7
<=> complement(sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f102,plain,
( complement(sF3) = sF4
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
spl10_7,
inference(avatar_split_clause,[],[f33,f100]) ).
fof(f107,definition,
( spl10_8
<=> complement(sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f109,plain,
( complement(sF6) = sF7
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
spl10_8,
inference(avatar_split_clause,[],[f39,f107]) ).
fof(f114,definition,
( spl10_9
<=> zero = complement(top) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f116,plain,
( zero = complement(top)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
spl10_9,
inference(avatar_split_clause,[],[f45,f114]) ).
fof(f124,definition,
( spl10_10
<=> composition(sk1,sk2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f126,plain,
( composition(sk1,sk2) = sF3
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
spl10_10,
inference(avatar_split_clause,[],[f31,f124]) ).
fof(f138,definition,
( spl10_11
<=> join(sF4,sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f140,plain,
( join(sF4,sF7) = sF8
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
spl10_11,
inference(avatar_split_clause,[],[f41,f138]) ).
fof(f143,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f163,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f171,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f176,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f184,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f163,f1]) ).
fof(f192,plain,
( ! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0
| ~ spl10_9 ),
inference(forward_demodulation,[],[f176,f116]) ).
fof(f218,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f230,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f238,plain,
( ! [X0] : converse(composition(X0,sk1)) = composition(sF0,converse(X0))
| ~ spl10_3 ),
inference(superposition,[],[f12,f61]) ).
fof(f241,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f244,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(f248,definition,
( spl10_12
<=> composition(sk1,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f250,plain,
( composition(sk1,sF5) = sF6
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
spl10_12,
inference(avatar_split_clause,[],[f37,f248]) ).
fof(f261,definition,
( spl10_13
<=> composition(sF0,sk1) = sF1 ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f263,plain,
( composition(sF0,sk1) = sF1
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,plain,
spl10_13,
inference(avatar_split_clause,[],[f26,f261]) ).
fof(f275,plain,
( ! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero)
| ~ spl10_9 ),
inference(superposition,[],[f14,f116]) ).
fof(f276,plain,
( ! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f275,f1]) ).
fof(f300,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f184,f15]) ).
fof(f308,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f300,f1]) ).
fof(f324,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f308,f1]) ).
fof(f333,plain,
( ! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0)))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f324,f116]) ).
fof(f340,plain,
( ! [X0] : complement(complement(X0)) = X0
| ~ spl10_9 ),
inference(backward_demodulation,[],[f192,f333]) ).
fof(f353,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X0,complement(X1))),complement(join(X0,X1)))
| ~ spl10_9 ),
inference(superposition,[],[f4,f340]) ).
fof(f358,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0)))
| ~ spl10_9 ),
inference(superposition,[],[f184,f340]) ).
fof(f363,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f353,f1]) ).
fof(f372,plain,
( ! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0))))
| ~ spl10_9 ),
inference(superposition,[],[f363,f1]) ).
fof(f446,plain,
( ! [X0] : composition(sF0,composition(sk1,X0)) = composition(sF1,X0)
| ~ spl10_13 ),
inference(superposition,[],[f7,f263]) ).
fof(f578,plain,
! [X0] : converse(converse(X0)) = composition(converse(sF2),X0),
inference(superposition,[],[f241,f46]) ).
fof(f590,plain,
! [X0] : composition(converse(sF2),X0) = X0,
inference(forward_demodulation,[],[f578,f10]) ).
fof(f603,plain,
! [X0] : complement(X0) = join(complement(X0),composition(sF2,complement(X0))),
inference(superposition,[],[f97,f590]) ).
fof(f608,plain,
sF2 = converse(sF2),
inference(superposition,[],[f46,f590]) ).
fof(f611,plain,
! [X0] : composition(sF2,X0) = X0,
inference(backward_demodulation,[],[f590,f608]) ).
fof(f618,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f603,f611]) ).
fof(f639,plain,
( ! [X0] : join(X0,X0) = X0
| ~ spl10_9 ),
inference(superposition,[],[f618,f340]) ).
fof(f648,plain,
( ! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0)))))
| ~ spl10_9 ),
inference(superposition,[],[f363,f618]) ).
fof(f650,plain,
( ! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(top))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f648,f15]) ).
fof(f656,plain,
( ! [X0] : complement(complement(X0)) = join(complement(top),complement(complement(X0)))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f650,f1]) ).
fof(f662,plain,
( ! [X0] : join(complement(top),X0) = X0
| ~ spl10_9 ),
inference(forward_demodulation,[],[f656,f340]) ).
fof(f668,plain,
( ! [X0] : join(zero,X0) = X0
| ~ spl10_9 ),
inference(forward_demodulation,[],[f662,f116]) ).
fof(f674,plain,
( ! [X0] : zero = composition(converse(X0),complement(composition(X0,top)))
| ~ spl10_9 ),
inference(backward_demodulation,[],[f276,f668]) ).
fof(f742,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1))
| ~ spl10_9 ),
inference(superposition,[],[f2,f639]) ).
fof(f857,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f244,f12]) ).
fof(f870,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f857,f11]) ).
fof(f881,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f870,f11]) ).
fof(f887,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f881,f12]) ).
fof(f912,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f887]) ).
fof(f927,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f912,f10]) ).
fof(f969,plain,
! [X0,X1] : composition(X0,join(X1,sF2)) = join(composition(X0,X1),X0),
inference(superposition,[],[f927,f46]) ).
fof(f1001,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,sF2)),
inference(forward_demodulation,[],[f969,f1]) ).
fof(f1035,plain,
( ! [X0] : composition(X0,sF2) = join(X0,composition(X0,sF1))
| ~ spl10_4 ),
inference(superposition,[],[f1001,f66]) ).
fof(f1068,plain,
( ! [X0] : join(X0,composition(X0,sF1)) = X0
| ~ spl10_4 ),
inference(forward_demodulation,[],[f1035,f46]) ).
fof(f1208,plain,
( ! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1)))
| ~ spl10_9 ),
inference(superposition,[],[f358,f1]) ).
fof(f1247,plain,
( ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0))))
| ~ spl10_9 ),
inference(superposition,[],[f4,f358]) ).
fof(f1256,plain,
( ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1)))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1247,f230]) ).
fof(f1289,plain,
( ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1256,f1]) ).
fof(f1311,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1289,f340]) ).
fof(f1390,plain,
( ! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(composition(converse(X0),X1),zero)
| ~ spl10_9 ),
inference(superposition,[],[f927,f674]) ).
fof(f1395,plain,
( ! [X0,X1] : join(zero,composition(converse(X0),X1)) = composition(converse(X0),join(X1,complement(composition(X0,top))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1390,f1]) ).
fof(f1407,plain,
( ! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1395,f668]) ).
fof(f1479,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f143,f15]) ).
fof(f1483,plain,
( ! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),sF1)))
| ~ spl10_4 ),
inference(superposition,[],[f143,f1068]) ).
fof(f1500,plain,
( ! [X0] : converse(converse(X0)) = join(X0,composition(converse(sF1),X0))
| ~ spl10_4 ),
inference(forward_demodulation,[],[f1483,f241]) ).
fof(f1512,plain,
( ! [X0] : join(X0,composition(converse(sF1),X0)) = X0
| ~ spl10_4 ),
inference(forward_demodulation,[],[f1500,f10]) ).
fof(f1582,definition,
( spl10_15
<=> sk1 = converse(sF0) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f1584,plain,
( sk1 = converse(sF0)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1585,plain,
( spl10_15
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f81,f59,f1582]) ).
fof(f1777,plain,
( ! [X0] : complement(composition(sk1,X0)) = join(composition(converse(sF0),complement(composition(sF1,X0))),complement(composition(sk1,X0)))
| ~ spl10_13 ),
inference(superposition,[],[f14,f446]) ).
fof(f1787,plain,
( ! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(converse(sF0),complement(composition(sF1,X0))))
| ~ spl10_13 ),
inference(forward_demodulation,[],[f1777,f1]) ).
fof(f1793,plain,
( ! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(sk1,complement(composition(sF1,X0))))
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1787,f1584]) ).
fof(f1841,plain,
( ! [X0,X1] : join(join(X0,X1),complement(X0)) = join(top,complement(join(X0,complement(X1))))
| ~ spl10_9 ),
inference(superposition,[],[f218,f363]) ).
fof(f1844,plain,
( ! [X0] : join(X0,complement(X0)) = join(top,complement(X0))
| ~ spl10_9 ),
inference(superposition,[],[f218,f639]) ).
fof(f1846,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f218,f1]) ).
fof(f1879,plain,
( ! [X0] : top = join(top,complement(X0))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1844,f15]) ).
fof(f1882,plain,
( ! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,complement(join(X0,complement(X1))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1841,f2]) ).
fof(f1895,plain,
( ! [X0,X1] : top = join(X0,join(X1,complement(X0)))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1882,f1879]) ).
fof(f1903,plain,
( ! [X1] : top = join(top,X1)
| ~ spl10_9 ),
inference(forward_demodulation,[],[f1895,f1846]) ).
fof(f1970,plain,
( top = converse(top)
| ~ spl10_9 ),
inference(superposition,[],[f1479,f1903]) ).
fof(f1999,definition,
( spl10_17
<=> top = converse(top) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f2001,plain,
( top = converse(top)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2002,plain,
( spl10_17
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f1970,f114,f1999]) ).
fof(f2106,plain,
( ! [X0] : composition(converse(X0),top) = converse(composition(top,X0))
| ~ spl10_17 ),
inference(superposition,[],[f241,f2001]) ).
fof(f2379,plain,
( ! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(complement(join(X1,X0))),complement(join(X0,complement(X1))))))
| ~ spl10_9 ),
inference(superposition,[],[f1208,f372]) ).
fof(f2380,plain,
( ! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2379,f340]) ).
fof(f2419,plain,
( ! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1)))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2380,f2]) ).
fof(f2454,plain,
( ! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1)))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2419,f340]) ).
fof(f2481,plain,
( ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1)))))))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f2454,f340]) ).
fof(f2520,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0))
| ~ spl10_9 ),
inference(superposition,[],[f230,f639]) ).
fof(f3520,plain,
( ! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0))
| ~ spl10_9 ),
inference(superposition,[],[f742,f372]) ).
fof(f3593,plain,
( ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0)))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f3520,f1]) ).
fof(f3610,plain,
( ! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1))))
| ~ spl10_9 ),
inference(backward_demodulation,[],[f1311,f3593]) ).
fof(f3617,plain,
( ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1))))
| ~ spl10_9 ),
inference(backward_demodulation,[],[f2481,f3610]) ).
fof(f3621,plain,
( ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1)))
| ~ spl10_9 ),
inference(forward_demodulation,[],[f3617,f2520]) ).
fof(f5251,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(composition(converse(sF1),X0),X1))
| ~ spl10_4 ),
inference(superposition,[],[f230,f1512]) ).
fof(f5264,plain,
( ! [X0] : complement(composition(converse(sF1),complement(X0))) = join(complement(join(X0,composition(converse(sF1),complement(X0)))),complement(complement(X0)))
| ~ spl10_4
| ~ spl10_9 ),
inference(superposition,[],[f1208,f1512]) ).
fof(f5280,plain,
( ! [X0] : complement(composition(converse(sF1),complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(converse(sF1),complement(X0)))))
| ~ spl10_4
| ~ spl10_9 ),
inference(forward_demodulation,[],[f5264,f1]) ).
fof(f5304,plain,
( ! [X0] : complement(composition(converse(sF1),complement(X0))) = join(X0,complement(join(X0,composition(converse(sF1),complement(X0)))))
| ~ spl10_4
| ~ spl10_9 ),
inference(forward_demodulation,[],[f5280,f340]) ).
fof(f5315,plain,
( ! [X0] : complement(composition(converse(sF1),complement(X0))) = join(X0,complement(composition(converse(sF1),complement(X0))))
| ~ spl10_4
| ~ spl10_9 ),
inference(forward_demodulation,[],[f5304,f3621]) ).
fof(f5398,plain,
( composition(sF0,top) = converse(composition(top,sk1))
| ~ spl10_3
| ~ spl10_17 ),
inference(superposition,[],[f238,f2001]) ).
fof(f5401,plain,
( composition(sF0,sk1) = converse(composition(sF0,sk1))
| ~ spl10_3
| ~ spl10_15 ),
inference(superposition,[],[f238,f1584]) ).
fof(f5431,plain,
( sF1 = converse(sF1)
| ~ spl10_3
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_demodulation,[],[f5401,f263]) ).
fof(f5449,plain,
( ! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF1,X0),X1))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_13
| ~ spl10_15 ),
inference(backward_demodulation,[],[f5251,f5431]) ).
fof(f5455,plain,
( ! [X0] : complement(composition(sF1,complement(X0))) = join(X0,complement(composition(sF1,complement(X0))))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15 ),
inference(backward_demodulation,[],[f5315,f5431]) ).
fof(f5507,plain,
( ! [X0,X1] : join(composition(sF1,X1),X0) = join(X0,composition(sF1,join(X0,X1)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_13
| ~ spl10_15 ),
inference(superposition,[],[f5449,f927]) ).
fof(f5717,plain,
( ! [X0] : join(X0,composition(sF1,top)) = join(composition(sF1,complement(X0)),X0)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_13
| ~ spl10_15 ),
inference(superposition,[],[f5507,f15]) ).
fof(f5857,plain,
( ! [X0] : join(X0,composition(sF1,top)) = join(X0,composition(sF1,complement(X0)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_demodulation,[],[f5717,f1]) ).
fof(f6525,plain,
( ! [X0] : join(X0,complement(composition(sF1,complement(X0)))) = join(X0,complement(join(X0,composition(sF1,top))))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15 ),
inference(superposition,[],[f3621,f5857]) ).
fof(f6556,plain,
( ! [X0] : join(X0,complement(composition(sF1,complement(X0)))) = join(X0,complement(composition(sF1,top)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_demodulation,[],[f6525,f3621]) ).
fof(f6584,plain,
( ! [X0] : complement(composition(sF1,complement(X0))) = join(X0,complement(composition(sF1,top)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15 ),
inference(forward_demodulation,[],[f6556,f5455]) ).
fof(f12631,plain,
( ! [X0] : composition(sk1,X0) = composition(sk1,join(X0,complement(composition(sF0,top))))
| ~ spl10_9
| ~ spl10_15 ),
inference(superposition,[],[f1407,f1584]) ).
fof(f12639,plain,
( ! [X0] : composition(converse(X0),top) = composition(converse(X0),composition(X0,top))
| ~ spl10_9 ),
inference(superposition,[],[f1407,f15]) ).
fof(f12698,plain,
( ! [X0] : converse(composition(top,X0)) = composition(converse(X0),composition(X0,top))
| ~ spl10_9
| ~ spl10_17 ),
inference(forward_demodulation,[],[f12639,f2106]) ).
fof(f15013,plain,
( converse(composition(top,sk1)) = composition(sF0,composition(sk1,top))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_17 ),
inference(superposition,[],[f12698,f61]) ).
fof(f15078,plain,
( composition(sF1,top) = converse(composition(top,sk1))
| ~ spl10_3
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17 ),
inference(forward_demodulation,[],[f15013,f446]) ).
fof(f15109,plain,
( composition(sF0,top) = composition(sF1,top)
| ~ spl10_3
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17 ),
inference(forward_demodulation,[],[f15078,f5398]) ).
fof(f15155,plain,
( ! [X0] : complement(composition(sF1,complement(X0))) = join(X0,complement(composition(sF0,top)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(backward_demodulation,[],[f6584,f15109]) ).
fof(f15192,plain,
( ! [X0] : composition(sk1,X0) = composition(sk1,complement(composition(sF1,complement(X0))))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(backward_demodulation,[],[f12631,f15155]) ).
fof(f26292,plain,
( ! [X0] : composition(sk1,complement(composition(sF1,X0))) = composition(sk1,complement(X0))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(superposition,[],[f15192,f340]) ).
fof(f26378,plain,
( ! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(sk1,complement(X0)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(backward_demodulation,[],[f1793,f26292]) ).
fof(f26419,plain,
( ! [X0] : complement(composition(sk1,X0)) = join(composition(sk1,complement(X0)),complement(composition(sk1,X0)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26378,f1]) ).
fof(f26528,plain,
( complement(sF3) = join(composition(sk1,complement(sk2)),complement(sF3))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_10
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(superposition,[],[f26419,f126]) ).
fof(f26592,plain,
( complement(sF3) = join(complement(sF3),composition(sk1,complement(sk2)))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_9
| ~ spl10_10
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26528,f1]) ).
fof(f26631,plain,
( complement(sF3) = join(complement(sF3),composition(sk1,sF5))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_9
| ~ spl10_10
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26592,f79]) ).
fof(f26661,plain,
( complement(sF3) = join(complement(sF3),sF6)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26631,f250]) ).
fof(f26685,plain,
( complement(sF3) = join(sF6,complement(sF3))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26661,f1]) ).
fof(f26701,plain,
( sF4 = join(sF6,sF4)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26685,f102]) ).
fof(f26725,plain,
( sF4 = join(sF4,sF6)
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(forward_demodulation,[],[f26701,f1]) ).
fof(f26780,definition,
( spl10_73
<=> sF4 = join(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl10_73])],[avatar_definition]) ).
fof(f26782,plain,
( sF4 = join(sF4,sF6)
| ~ spl10_73 ),
inference(avatar_component_clause,[],[f26780]) ).
fof(f26783,plain,
( spl10_73
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f26725,f1999,f1582,f261,f248,f124,f114,f100,f77,f64,f59,f26780]) ).
fof(f26797,plain,
( join(sF4,complement(sF4)) = join(sF4,complement(sF6))
| ~ spl10_9
| ~ spl10_73 ),
inference(superposition,[],[f3621,f26782]) ).
fof(f26813,plain,
( join(sF4,sF7) = join(sF4,complement(sF4))
| ~ spl10_8
| ~ spl10_9
| ~ spl10_73 ),
inference(forward_demodulation,[],[f26797,f109]) ).
fof(f26827,plain,
( top = join(sF4,sF7)
| ~ spl10_8
| ~ spl10_9
| ~ spl10_73 ),
inference(forward_demodulation,[],[f26813,f15]) ).
fof(f26835,plain,
( top = sF8
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(forward_demodulation,[],[f26827,f140]) ).
fof(f26945,plain,
( sF9 = complement(top)
| ~ spl10_1
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(backward_demodulation,[],[f51,f26835]) ).
fof(f27179,plain,
( zero = sF9
| ~ spl10_1
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(forward_demodulation,[],[f26945,f116]) ).
fof(f27240,plain,
( $false
| ~ spl10_1
| spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(forward_subsumption_resolution,[],[f27179,f85]) ).
fof(f27241,plain,
( ~ spl10_1
| spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(avatar_contradiction_clause,[],[f27240]) ).
cnf(s1,plain,
spl10_1,
inference(sat_conversion,[],[f52]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f62]) ).
cnf(s4,plain,
spl10_4,
inference(sat_conversion,[],[f67]) ).
cnf(s5,plain,
spl10_5,
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
~ spl10_6,
inference(sat_conversion,[],[f86]) ).
cnf(s7,plain,
spl10_7,
inference(sat_conversion,[],[f103]) ).
cnf(s8,plain,
spl10_8,
inference(sat_conversion,[],[f110]) ).
cnf(s9,plain,
spl10_9,
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
spl10_10,
inference(sat_conversion,[],[f127]) ).
cnf(s11,plain,
spl10_11,
inference(sat_conversion,[],[f141]) ).
cnf(s12,plain,
spl10_12,
inference(sat_conversion,[],[f251]) ).
cnf(s13,plain,
spl10_13,
inference(sat_conversion,[],[f264]) ).
cnf(s15,plain,
( ~ spl10_3
| spl10_15 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s17,plain,
( ~ spl10_9
| spl10_17 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s73,plain,
( ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12
| ~ spl10_13
| ~ spl10_15
| ~ spl10_17
| spl10_73 ),
inference(sat_conversion,[],[f26783]) ).
cnf(s74,plain,
( ~ spl10_1
| spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_73 ),
inference(sat_conversion,[],[f27241]) ).
cnf(s87,plain,
spl10_17,
inference(rat,[],[s17,s9]) ).
cnf(s115,plain,
spl10_15,
inference(rat,[],[s15,s3]) ).
cnf(s119,plain,
spl10_73,
inference(rat,[],[s73,s3,s87,s4,s13,s12,s10,s9,s7,s5,s115]) ).
cnf(s125,plain,
~ spl10_1,
inference(rat,[],[s74,s6,s11,s9,s8,s119]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s1,s125]) ).
fof(f27297,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL041-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 22:56:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.47 Running first-order theorem proving
% 0.25/0.47 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
% 19.49/4.09 % (1394991)Detected a unit-equality problem, will run specialized UEQ schedule.
% 19.49/4.09 % (1394996)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=1662750770:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 19.49/4.09 % (1395002)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1808189107:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 19.49/4.09 % (1394998)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1189337481:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 19.49/4.09 % (1394999)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1881358507:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 19.49/4.09 % (1394997)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=448434170:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 19.49/4.09 % (1395001)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2038685829:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 19.49/4.09 % (1395000)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1901810488:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 19.49/4.09 % (1394999)Instruction limit reached!
% 19.49/4.09 % (1394999)------------------------------
% 19.49/4.09 % (1394999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1394999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1394999)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1394999)Termination reason: Instruction limit
% 19.49/4.09 % (1394999)Termination phase: Saturation
% 19.49/4.09 % (1394999)Time elapsed: 0.134 s
% 19.49/4.09 % (1394999)Peak memory usage: 89 MB
% 19.49/4.09 % (1394999)Instructions burned: 136 (million)
% 19.49/4.09 % (1395000)Instruction limit reached!
% 19.49/4.09 % (1395000)------------------------------
% 19.49/4.09 % (1395000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395000)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395000)Termination reason: Instruction limit
% 19.49/4.09 % (1395000)Termination phase: Saturation
% 19.49/4.09 % (1395000)Time elapsed: 0.179 s
% 19.49/4.09 % (1395000)Peak memory usage: 89 MB
% 19.49/4.09 % (1395000)Instructions burned: 182 (million)
% 19.49/4.09 % (1395001)Instruction limit reached!
% 19.49/4.09 % (1395001)------------------------------
% 19.49/4.09 % (1395001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395001)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395001)Termination reason: Instruction limit
% 19.49/4.09 % (1395001)Termination phase: Saturation
% 19.49/4.09 % (1395001)Time elapsed: 0.279 s
% 19.49/4.09 % (1395001)Peak memory usage: 90 MB
% 19.49/4.09 % (1395001)Instructions burned: 257 (million)
% 19.49/4.09 % (1395010)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3154562161:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 19.49/4.09 % (1395011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1525922768:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 19.49/4.09 % (1395012)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=723742332:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 19.49/4.09 % (1395012)Instruction limit reached!
% 19.49/4.09 % (1395012)------------------------------
% 19.49/4.09 % (1395012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395012)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395012)Termination reason: Instruction limit
% 19.49/4.09 % (1395012)Termination phase: Saturation
% 19.49/4.09 % (1395012)Time elapsed: 0.203 s
% 19.49/4.09 % (1395012)Peak memory usage: 92 MB
% 19.49/4.09 % (1395012)Instructions burned: 215 (million)
% 19.49/4.09 % (1395002)Instruction limit reached!
% 19.49/4.09 % (1395002)------------------------------
% 19.49/4.09 % (1395002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395002)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395002)Termination reason: Instruction limit
% 19.49/4.09 % (1395002)Termination phase: Saturation
% 19.49/4.09 % (1395002)Time elapsed: 1.079 s
% 19.49/4.09 % (1395002)Peak memory usage: 101 MB
% 19.49/4.09 % (1395002)Instructions burned: 1187 (million)
% 19.49/4.09 % (1395016)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=1014091592:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 19.49/4.09 % (1395018)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=4069334247:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 19.49/4.09 % (1395016)Instruction limit reached!
% 19.49/4.09 % (1395016)------------------------------
% 19.49/4.09 % (1395016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395016)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395016)Termination reason: Instruction limit
% 19.49/4.09 % (1395016)Termination phase: Saturation
% 19.49/4.09 % (1395016)Time elapsed: 0.344 s
% 19.49/4.09 % (1395016)Peak memory usage: 94 MB
% 19.49/4.09 % (1395016)Instructions burned: 317 (million)
% 19.49/4.09 % (1395020)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3821180594:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 19.49/4.09 % (1394996)First to succeed.
% 19.49/4.09 % (1394996)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1394991"
% 19.49/4.09 % (1395010)Instruction limit reached!
% 19.49/4.09 % (1395010)------------------------------
% 19.49/4.09 % (1395010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.49/4.09 % (1395010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.49/4.09 % (1395010)CaDiCaL version: 2.1.3
% 19.49/4.09 % (1395010)Termination reason: Instruction limit
% 19.49/4.09 % (1395010)Termination phase: Saturation
% 19.49/4.09 % (1395010)Time elapsed: 2.207 s
% 19.49/4.09 % (1395010)Peak memory usage: 141 MB
% 19.49/4.09 % (1395010)Instructions burned: 2051 (million)
% 19.49/4.09 % (1394996)Refutation found. Thanks to Tanya!
% 19.49/4.09 % SZS status Unsatisfiable for theBenchmark
% 19.49/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 23.05/4.38 % (1394996)------------------------------
% 23.05/4.38 % (1394996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.05/4.38 % (1394996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/4.38 % (1394996)CaDiCaL version: 2.1.3
% 23.05/4.38 % (1394996)Termination reason: Refutation
% 23.05/4.38 % (1394996)Time elapsed: 2.662 s
% 23.05/4.38 % (1394996)Peak memory usage: 171 MB
% 23.05/4.38 % (1394996)Instructions burned: 4647 (million)
% 23.05/4.38 % (1394996)------------------------------
% 23.05/4.38 % (1394996)------------------------------
% 23.05/4.38 % (1394991)Success in time 3.148 s
% 23.05/4.38 % Vampire exiting
%------------------------------------------------------------------------------