%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT153-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:46:05 AM UTC 2026
% Result : Unsatisfiable 11.19s 4.92s
% Output : Refutation 27.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 40
% Syntax : Number of formulae : 217 ( 85 unt; 31 def)
% Number of atoms : 548 ( 159 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 644 ( 313 ~; 310 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H40) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H7) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(a,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(a,b) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(c,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(a,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = join(b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
join(b,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF9 = meet(a,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f30,plain,
meet(a,sF8) = sF9,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
sF2 != sF9,
inference(definition_folding,[],[f10,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f32,plain,
sF0 = meet(c,a),
inference(forward_demodulation,[],[f12,f5]) ).
fof(f33,plain,
sF1 = join(sF0,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f34,plain,
sF2 = meet(sF1,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f35,plain,
sF3 = meet(b,a),
inference(forward_demodulation,[],[f18,f5]) ).
fof(f36,plain,
sF4 = join(b,a),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f37,plain,
sF5 = meet(sF4,c),
inference(forward_demodulation,[],[f22,f5]) ).
fof(f38,plain,
sF7 = meet(sF6,a),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f39,plain,
sF8 = join(sF7,b),
inference(forward_demodulation,[],[f28,f6]) ).
fof(f40,plain,
sF9 = meet(sF8,a),
inference(forward_demodulation,[],[f30,f5]) ).
fof(f46,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f47,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f46,f4]) ).
fof(f51,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f47,f5]) ).
fof(f53,definition,
( spl10_1
<=> sF2 = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f55,plain,
( sF2 != sF9
| spl10_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
~ spl10_1,
inference(avatar_split_clause,[],[f31,f53]) ).
fof(f58,definition,
( spl10_2
<=> sF9 = meet(sF8,a) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f60,plain,
( sF9 = meet(sF8,a)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
spl10_2,
inference(avatar_split_clause,[],[f40,f58]) ).
fof(f64,definition,
( spl10_3
<=> sF2 = meet(sF1,a) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f66,plain,
( sF2 = meet(sF1,a)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
spl10_3,
inference(avatar_split_clause,[],[f34,f64]) ).
fof(f95,definition,
( spl10_4
<=> sF4 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f97,plain,
( sF4 = join(b,a)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl10_4,
inference(avatar_split_clause,[],[f36,f95]) ).
fof(f100,plain,
( a = meet(a,sF4)
| ~ spl10_4 ),
inference(superposition,[],[f46,f97]) ).
fof(f103,plain,
( a = meet(sF4,a)
| ~ spl10_4 ),
inference(forward_demodulation,[],[f100,f5]) ).
fof(f122,definition,
( spl10_5
<=> sF0 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f124,plain,
( sF0 = meet(c,a)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
spl10_5,
inference(avatar_split_clause,[],[f32,f122]) ).
fof(f131,definition,
( spl10_6
<=> sF3 = meet(b,a) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f133,plain,
( sF3 = meet(b,a)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
spl10_6,
inference(avatar_split_clause,[],[f35,f131]) ).
fof(f136,plain,
( b = join(b,sF3)
| ~ spl10_6 ),
inference(superposition,[],[f4,f133]) ).
fof(f137,plain,
( b = join(sF3,b)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f136,f6]) ).
fof(f146,plain,
( ! [X0] : meet(c,meet(a,X0)) = meet(sF0,X0)
| ~ spl10_5 ),
inference(superposition,[],[f7,f124]) ).
fof(f175,definition,
( spl10_7
<=> sF1 = join(sF0,b) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f177,plain,
( sF1 = join(sF0,b)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f178,plain,
spl10_7,
inference(avatar_split_clause,[],[f33,f175]) ).
fof(f184,definition,
( spl10_8
<=> sF8 = join(sF7,b) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f186,plain,
( sF8 = join(sF7,b)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
spl10_8,
inference(avatar_split_clause,[],[f39,f184]) ).
fof(f193,definition,
( spl10_9
<=> sF5 = meet(sF4,c) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f195,plain,
( sF5 = meet(sF4,c)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
spl10_9,
inference(avatar_split_clause,[],[f37,f193]) ).
fof(f197,plain,
( ! [X0] : meet(sF4,meet(c,X0)) = meet(sF5,X0)
| ~ spl10_9 ),
inference(superposition,[],[f7,f195]) ).
fof(f199,plain,
( sF4 = join(sF4,sF5)
| ~ spl10_9 ),
inference(superposition,[],[f4,f195]) ).
fof(f202,definition,
( spl10_10
<=> sF7 = meet(sF6,a) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f204,plain,
( sF7 = meet(sF6,a)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
spl10_10,
inference(avatar_split_clause,[],[f38,f202]) ).
fof(f210,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f216,plain,
( ! [X0] : join(sF0,join(b,X0)) = join(sF1,X0)
| ~ spl10_7 ),
inference(superposition,[],[f8,f177]) ).
fof(f217,plain,
( ! [X0] : join(sF7,join(b,X0)) = join(sF8,X0)
| ~ spl10_8 ),
inference(superposition,[],[f8,f186]) ).
fof(f225,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f238,definition,
( spl10_11
<=> join(sF3,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f240,plain,
( join(sF3,sF5) = sF6
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
spl10_11,
inference(avatar_split_clause,[],[f24,f238]) ).
fof(f242,plain,
( ! [X0] : join(sF3,join(sF5,X0)) = join(sF6,X0)
| ~ spl10_11 ),
inference(superposition,[],[f8,f240]) ).
fof(f297,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,meet(X0,join(X1,X2)))))) = meet(X1,join(X2,meet(X0,meet(X0,join(X1,X2))))),
inference(superposition,[],[f9,f2]) ).
fof(f300,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,meet(X0,join(X1,X2)))))) = meet(X1,join(X2,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f297,f51]) ).
fof(f303,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X2)))) = meet(X1,join(X2,meet(X0,join(X1,X1)))),
inference(forward_demodulation,[],[f300,f9]) ).
fof(f304,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,X1))) = meet(X1,join(X2,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f303,f2]) ).
fof(f317,plain,
( ! [X0] : join(sF6,X0) = join(sF6,join(sF7,X0))
| ~ spl10_10 ),
inference(superposition,[],[f210,f204]) ).
fof(f320,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f210,f6]) ).
fof(f366,plain,
( ! [X0] : meet(sF0,X0) = meet(c,meet(X0,a))
| ~ spl10_5 ),
inference(superposition,[],[f146,f5]) ).
fof(f422,plain,
( meet(sF5,a) = meet(sF4,sF0)
| ~ spl10_5
| ~ spl10_9 ),
inference(superposition,[],[f197,f124]) ).
fof(f443,plain,
( meet(sF5,a) = meet(sF0,sF4)
| ~ spl10_5
| ~ spl10_9 ),
inference(forward_demodulation,[],[f422,f5]) ).
fof(f449,plain,
( ! [X0] : join(sF1,X0) = join(sF0,join(X0,b))
| ~ spl10_7 ),
inference(superposition,[],[f216,f6]) ).
fof(f471,plain,
( ! [X0] : join(sF8,X0) = join(sF7,join(X0,b))
| ~ spl10_8 ),
inference(superposition,[],[f217,f6]) ).
fof(f531,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X1))) = meet(X1,join(X0,meet(X2,join(X0,X1)))),
inference(superposition,[],[f304,f6]) ).
fof(f648,plain,
( ! [X0] : join(sF6,X0) = join(sF3,join(X0,sF5))
| ~ spl10_11 ),
inference(superposition,[],[f242,f6]) ).
fof(f1812,definition,
( spl10_12
<=> b = join(sF3,b) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f1814,plain,
( b = join(sF3,b)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f1815,plain,
( spl10_12
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f137,f131,f1812]) ).
fof(f1817,plain,
( ! [X0] : join(b,X0) = join(sF3,join(b,X0))
| ~ spl10_12 ),
inference(superposition,[],[f8,f1814]) ).
fof(f2309,plain,
( ! [X0] : meet(a,join(b,meet(X0,a))) = meet(a,join(b,meet(X0,sF4)))
| ~ spl10_4 ),
inference(superposition,[],[f531,f97]) ).
fof(f2704,definition,
( spl10_17
<=> sF4 = join(sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f2706,plain,
( sF4 = join(sF4,sF5)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f2704]) ).
fof(f2707,plain,
( spl10_17
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f199,f193,f2704]) ).
fof(f4318,plain,
( join(sF6,sF4) = join(sF3,sF4)
| ~ spl10_11
| ~ spl10_17 ),
inference(superposition,[],[f648,f2706]) ).
fof(f4343,plain,
( join(sF3,sF4) = join(sF4,sF6)
| ~ spl10_11
| ~ spl10_17 ),
inference(forward_demodulation,[],[f4318,f6]) ).
fof(f5191,plain,
( join(sF6,b) = join(sF6,sF8)
| ~ spl10_8
| ~ spl10_10 ),
inference(superposition,[],[f317,f186]) ).
fof(f8181,plain,
( sF4 = join(sF3,sF4)
| ~ spl10_4
| ~ spl10_12 ),
inference(superposition,[],[f1817,f97]) ).
fof(f8202,plain,
( join(sF6,b) = join(b,sF5)
| ~ spl10_11
| ~ spl10_12 ),
inference(superposition,[],[f648,f1817]) ).
fof(f8250,plain,
( join(sF6,b) = join(sF5,b)
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f8202,f6]) ).
fof(f8258,plain,
( sF4 = join(sF4,sF6)
| ~ spl10_4
| ~ spl10_11
| ~ spl10_12
| ~ spl10_17 ),
inference(backward_demodulation,[],[f4343,f8181]) ).
fof(f8269,plain,
( join(sF6,sF8) = join(sF5,b)
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f8250,f5191]) ).
fof(f8279,plain,
( join(sF6,b) = join(sF5,b)
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(backward_demodulation,[],[f5191,f8269]) ).
fof(f8283,definition,
( spl10_43
<=> join(sF6,b) = join(sF5,b) ),
introduced(definition,[new_symbols(definition,[spl10_43])],[avatar_definition]) ).
fof(f8285,plain,
( join(sF6,b) = join(sF5,b)
| ~ spl10_43 ),
inference(avatar_component_clause,[],[f8283]) ).
fof(f8286,plain,
( spl10_43
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f8279,f1812,f238,f202,f184,f8283]) ).
fof(f8287,plain,
( join(sF8,sF6) = join(sF7,join(sF5,b))
| ~ spl10_8
| ~ spl10_43 ),
inference(superposition,[],[f471,f8285]) ).
fof(f8288,plain,
( join(sF1,sF6) = join(sF0,join(sF5,b))
| ~ spl10_7
| ~ spl10_43 ),
inference(superposition,[],[f449,f8285]) ).
fof(f8320,plain,
( join(sF1,sF6) = join(sF1,sF5)
| ~ spl10_7
| ~ spl10_43 ),
inference(forward_demodulation,[],[f8288,f449]) ).
fof(f8321,plain,
( join(sF8,sF6) = join(sF8,sF5)
| ~ spl10_8
| ~ spl10_43 ),
inference(forward_demodulation,[],[f8287,f471]) ).
fof(f8326,plain,
( join(sF8,sF6) = join(sF5,sF8)
| ~ spl10_8
| ~ spl10_43 ),
inference(forward_demodulation,[],[f8321,f6]) ).
fof(f8332,plain,
( join(sF6,sF8) = join(sF5,sF8)
| ~ spl10_8
| ~ spl10_43 ),
inference(forward_demodulation,[],[f8326,f6]) ).
fof(f8333,plain,
( join(sF5,b) = join(sF5,sF8)
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43 ),
inference(forward_demodulation,[],[f8332,f8269]) ).
fof(f8336,plain,
( join(sF6,b) = join(sF5,sF8)
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43 ),
inference(backward_demodulation,[],[f8285,f8333]) ).
fof(f8351,definition,
( spl10_44
<=> join(sF6,b) = join(sF5,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_44])],[avatar_definition]) ).
fof(f8353,plain,
( join(sF6,b) = join(sF5,sF8)
| ~ spl10_44 ),
inference(avatar_component_clause,[],[f8351]) ).
fof(f8354,plain,
( spl10_44
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f8336,f8283,f1812,f238,f202,f184,f8351]) ).
fof(f8356,plain,
( join(sF1,sF6) = join(sF0,join(sF5,sF8))
| ~ spl10_7
| ~ spl10_44 ),
inference(superposition,[],[f449,f8353]) ).
fof(f8388,plain,
( join(sF1,sF5) = join(sF0,join(sF5,sF8))
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44 ),
inference(forward_demodulation,[],[f8356,f8320]) ).
fof(f9536,definition,
( spl10_57
<=> join(sF5,b) = join(sF5,sF8) ),
introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).
fof(f9538,plain,
( join(sF5,b) = join(sF5,sF8)
| ~ spl10_57 ),
inference(avatar_component_clause,[],[f9536]) ).
fof(f9539,plain,
( spl10_57
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43 ),
inference(avatar_split_clause,[],[f8333,f8283,f1812,f238,f202,f184,f9536]) ).
fof(f9797,definition,
( spl10_61
<=> sF4 = join(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl10_61])],[avatar_definition]) ).
fof(f9799,plain,
( sF4 = join(sF4,sF6)
| ~ spl10_61 ),
inference(avatar_component_clause,[],[f9797]) ).
fof(f9800,plain,
( spl10_61
| ~ spl10_4
| ~ spl10_11
| ~ spl10_12
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f8258,f2704,f1812,f238,f95,f9797]) ).
fof(f9804,plain,
( sF6 = meet(sF6,sF4)
| ~ spl10_61 ),
inference(superposition,[],[f46,f9799]) ).
fof(f9829,plain,
( sF6 = meet(sF4,sF6)
| ~ spl10_61 ),
inference(forward_demodulation,[],[f9804,f5]) ).
fof(f9970,definition,
( spl10_65
<=> meet(sF5,a) = meet(sF0,sF4) ),
introduced(definition,[new_symbols(definition,[spl10_65])],[avatar_definition]) ).
fof(f9972,plain,
( meet(sF5,a) = meet(sF0,sF4)
| ~ spl10_65 ),
inference(avatar_component_clause,[],[f9970]) ).
fof(f9973,plain,
( spl10_65
| ~ spl10_5
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f443,f193,f122,f9970]) ).
fof(f9993,plain,
( ! [X0] : join(sF5,X0) = join(sF5,join(X0,meet(sF0,sF4)))
| ~ spl10_65 ),
inference(superposition,[],[f320,f9972]) ).
fof(f10113,definition,
( spl10_66
<=> a = meet(sF4,a) ),
introduced(definition,[new_symbols(definition,[spl10_66])],[avatar_definition]) ).
fof(f10115,plain,
( a = meet(sF4,a)
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f10113]) ).
fof(f10116,plain,
( spl10_66
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f103,f95,f10113]) ).
fof(f10121,plain,
( meet(c,a) = meet(sF0,sF4)
| ~ spl10_5
| ~ spl10_66 ),
inference(superposition,[],[f366,f10115]) ).
fof(f10145,plain,
( sF0 = meet(sF0,sF4)
| ~ spl10_5
| ~ spl10_66 ),
inference(forward_demodulation,[],[f10121,f124]) ).
fof(f10161,plain,
( ! [X0] : join(sF5,X0) = join(sF5,join(X0,sF0))
| ~ spl10_5
| ~ spl10_65
| ~ spl10_66 ),
inference(backward_demodulation,[],[f9993,f10145]) ).
fof(f10170,plain,
( ! [X0] : join(sF5,X0) = join(sF0,join(sF5,X0))
| ~ spl10_5
| ~ spl10_65
| ~ spl10_66 ),
inference(forward_demodulation,[],[f10161,f225]) ).
fof(f10175,plain,
( join(sF1,sF5) = join(sF5,sF8)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_65
| ~ spl10_66 ),
inference(backward_demodulation,[],[f8388,f10170]) ).
fof(f10191,plain,
( join(sF6,b) = join(sF1,sF5)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_65
| ~ spl10_66 ),
inference(backward_demodulation,[],[f8353,f10175]) ).
fof(f10196,plain,
( join(sF5,b) = join(sF1,sF5)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_57
| ~ spl10_65
| ~ spl10_66 ),
inference(backward_demodulation,[],[f9538,f10175]) ).
fof(f10264,definition,
( spl10_68
<=> join(sF6,b) = join(sF1,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_68])],[avatar_definition]) ).
fof(f10266,plain,
( join(sF6,b) = join(sF1,sF5)
| ~ spl10_68 ),
inference(avatar_component_clause,[],[f10264]) ).
fof(f10267,plain,
( spl10_68
| ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_65
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f10191,f10113,f9970,f8351,f8283,f175,f122,f10264]) ).
fof(f10376,definition,
( spl10_70
<=> join(sF5,b) = join(sF1,sF5) ),
introduced(definition,[new_symbols(definition,[spl10_70])],[avatar_definition]) ).
fof(f10378,plain,
( join(sF5,b) = join(sF1,sF5)
| ~ spl10_70 ),
inference(avatar_component_clause,[],[f10376]) ).
fof(f10379,plain,
( spl10_70
| ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_57
| ~ spl10_65
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f10196,f10113,f9970,f9536,f8351,f8283,f175,f122,f10376]) ).
fof(f12142,plain,
( meet(a,join(b,meet(c,sF4))) = meet(a,join(b,sF0))
| ~ spl10_4
| ~ spl10_5 ),
inference(superposition,[],[f2309,f124]) ).
fof(f12146,plain,
( meet(a,join(b,meet(sF6,sF4))) = meet(a,join(b,sF7))
| ~ spl10_4
| ~ spl10_10 ),
inference(superposition,[],[f2309,f204]) ).
fof(f12205,plain,
( meet(a,join(b,meet(sF6,sF4))) = meet(a,join(sF7,b))
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_demodulation,[],[f12146,f6]) ).
fof(f12209,plain,
( meet(a,join(b,meet(c,sF4))) = meet(a,join(sF0,b))
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_demodulation,[],[f12142,f6]) ).
fof(f12227,plain,
( meet(a,sF8) = meet(a,join(b,meet(sF6,sF4)))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f12205,f186]) ).
fof(f12231,plain,
( meet(a,sF1) = meet(a,join(b,meet(c,sF4)))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f12209,f177]) ).
fof(f12241,plain,
( meet(a,sF8) = meet(a,join(b,meet(sF4,sF6)))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10 ),
inference(forward_demodulation,[],[f12227,f5]) ).
fof(f12244,plain,
( meet(a,sF1) = meet(a,join(b,meet(sF4,c)))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f12231,f5]) ).
fof(f12252,plain,
( meet(a,sF8) = meet(a,join(b,sF6))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10
| ~ spl10_61 ),
inference(forward_demodulation,[],[f12241,f9829]) ).
fof(f12255,plain,
( meet(a,sF1) = meet(a,join(b,sF5))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f12244,f195]) ).
fof(f12263,plain,
( meet(a,sF8) = meet(a,join(sF6,b))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10
| ~ spl10_61 ),
inference(forward_demodulation,[],[f12252,f6]) ).
fof(f12266,plain,
( meet(a,sF1) = meet(a,join(sF5,b))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f12255,f6]) ).
fof(f12273,plain,
( meet(a,sF8) = meet(a,join(sF1,sF5))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68 ),
inference(forward_demodulation,[],[f12263,f10266]) ).
fof(f12276,plain,
( meet(a,sF1) = meet(a,join(sF1,sF5))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_70 ),
inference(forward_demodulation,[],[f12266,f10378]) ).
fof(f12282,plain,
( meet(sF8,a) = meet(a,join(sF1,sF5))
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68 ),
inference(forward_demodulation,[],[f12273,f5]) ).
fof(f12284,plain,
( meet(sF1,a) = meet(a,join(sF1,sF5))
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_70 ),
inference(forward_demodulation,[],[f12276,f5]) ).
fof(f12288,plain,
( sF9 = meet(a,join(sF1,sF5))
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68 ),
inference(forward_demodulation,[],[f12282,f60]) ).
fof(f12290,plain,
( sF2 = meet(a,join(sF1,sF5))
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_70 ),
inference(forward_demodulation,[],[f12284,f66]) ).
fof(f12292,plain,
( sF2 = sF9
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68
| ~ spl10_70 ),
inference(forward_demodulation,[],[f12290,f12288]) ).
fof(f12295,plain,
( $false
| spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68
| ~ spl10_70 ),
inference(forward_subsumption_resolution,[],[f12292,f55]) ).
fof(f12296,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68
| ~ spl10_70 ),
inference(avatar_contradiction_clause,[],[f12295]) ).
cnf(s1,plain,
~ spl10_1,
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
spl10_2,
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
spl10_3,
inference(sat_conversion,[],[f67]) ).
cnf(s4,plain,
spl10_4,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
spl10_5,
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
spl10_6,
inference(sat_conversion,[],[f134]) ).
cnf(s7,plain,
spl10_7,
inference(sat_conversion,[],[f178]) ).
cnf(s8,plain,
spl10_8,
inference(sat_conversion,[],[f187]) ).
cnf(s9,plain,
spl10_9,
inference(sat_conversion,[],[f196]) ).
cnf(s10,plain,
spl10_10,
inference(sat_conversion,[],[f205]) ).
cnf(s11,plain,
spl10_11,
inference(sat_conversion,[],[f241]) ).
cnf(s12,plain,
( ~ spl10_6
| spl10_12 ),
inference(sat_conversion,[],[f1815]) ).
cnf(s17,plain,
( ~ spl10_9
| spl10_17 ),
inference(sat_conversion,[],[f2707]) ).
cnf(s43,plain,
( ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| spl10_43 ),
inference(sat_conversion,[],[f8286]) ).
cnf(s44,plain,
( ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43
| spl10_44 ),
inference(sat_conversion,[],[f8354]) ).
cnf(s57,plain,
( ~ spl10_8
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_43
| spl10_57 ),
inference(sat_conversion,[],[f9539]) ).
cnf(s61,plain,
( ~ spl10_4
| ~ spl10_11
| ~ spl10_12
| ~ spl10_17
| spl10_61 ),
inference(sat_conversion,[],[f9800]) ).
cnf(s65,plain,
( ~ spl10_5
| ~ spl10_9
| spl10_65 ),
inference(sat_conversion,[],[f9973]) ).
cnf(s66,plain,
( ~ spl10_4
| spl10_66 ),
inference(sat_conversion,[],[f10116]) ).
cnf(s68,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_65
| ~ spl10_66
| spl10_68 ),
inference(sat_conversion,[],[f10267]) ).
cnf(s70,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_43
| ~ spl10_44
| ~ spl10_57
| ~ spl10_65
| ~ spl10_66
| spl10_70 ),
inference(sat_conversion,[],[f10379]) ).
cnf(s79,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_61
| ~ spl10_68
| ~ spl10_70 ),
inference(sat_conversion,[],[f12296]) ).
cnf(s85,plain,
spl10_17,
inference(rat,[],[s17,s9]) ).
cnf(s94,plain,
spl10_12,
inference(rat,[],[s12,s6]) ).
cnf(s98,plain,
spl10_43,
inference(rat,[],[s43,s8,s10,s11,s94]) ).
cnf(s100,plain,
spl10_57,
inference(rat,[],[s57,s94,s8,s10,s11,s98]) ).
cnf(s101,plain,
spl10_44,
inference(rat,[],[s44,s94,s8,s10,s11,s98]) ).
cnf(s102,plain,
spl10_65,
inference(rat,[],[s65,s9,s5]) ).
cnf(s108,plain,
spl10_66,
inference(rat,[],[s66,s4]) ).
cnf(s110,plain,
spl10_61,
inference(rat,[],[s61,s94,s85,s11,s4]) ).
cnf(s117,plain,
spl10_70,
inference(rat,[],[s70,s102,s5,s98,s100,s101,s7,s108]) ).
cnf(s119,plain,
spl10_68,
inference(rat,[],[s68,s102,s5,s98,s101,s7,s108]) ).
cnf(s137,plain,
spl10_1,
inference(rat,[],[s79,s117,s119,s110,s10,s9,s8,s7,s5,s4,s3,s2]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s1,s137]) ).
fof(f12297,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT153-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 14:03:02 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 11.19/4.92 % (4013890)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.19/4.92 % (4013897)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=1443662521:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.19/4.92 % (4013896)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=534467422:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.19/4.92 % (4013898)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1867599545:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.19/4.92 % (4013900)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=766075481:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.19/4.92 % (4013902)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1588724875:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.19/4.92 % (4013899)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=241728674:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.19/4.92 % (4013901)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3050770580:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.19/4.92 % (4013900)Refutation not found, incomplete strategy
% 11.19/4.92 % (4013900)------------------------------
% 11.19/4.92 % (4013900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013900)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013900)Termination reason: Refutation not found, incomplete strategy
% 11.19/4.92 % (4013900)Time elapsed: 0.002 s
% 11.19/4.92 % (4013900)Peak memory usage: 87 MB
% 11.19/4.92 % (4013900)Instructions burned: 1 (million)
% 11.19/4.92 % (4013899)Instruction limit reached!
% 11.19/4.92 % (4013899)------------------------------
% 11.19/4.92 % (4013899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013899)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013899)Termination reason: Instruction limit
% 11.19/4.92 % (4013899)Termination phase: Saturation
% 11.19/4.92 % (4013899)Time elapsed: 0.137 s
% 11.19/4.92 % (4013899)Peak memory usage: 88 MB
% 11.19/4.92 % (4013899)Instructions burned: 137 (million)
% 11.19/4.92 % (4013901)Instruction limit reached!
% 11.19/4.92 % (4013901)------------------------------
% 11.19/4.92 % (4013901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013901)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013901)Termination reason: Instruction limit
% 11.19/4.92 % (4013901)Termination phase: Saturation
% 11.19/4.92 % (4013901)Time elapsed: 0.259 s
% 11.19/4.92 % (4013901)Peak memory usage: 90 MB
% 11.19/4.92 % (4013901)Instructions burned: 257 (million)
% 11.19/4.92 % (4013910)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3766770334:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 11.19/4.92 % (4013900)------------------------------
% 11.19/4.92 % (4013900)------------------------------
% 11.19/4.92 % (4013911)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4238277951:i=4948:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/4948Mi)
% 11.19/4.92 % (4013913)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1251397020:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 11.19/4.92 % (4013913)Instruction limit reached!
% 11.19/4.92 % (4013913)------------------------------
% 11.19/4.92 % (4013913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013913)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013913)Termination reason: Instruction limit
% 11.19/4.92 % (4013913)Termination phase: Saturation
% 11.19/4.92 % (4013913)Time elapsed: 0.173 s
% 11.19/4.92 % (4013913)Peak memory usage: 89 MB
% 11.19/4.92 % (4013913)Instructions burned: 216 (million)
% 11.19/4.92 % (4013902)Instruction limit reached!
% 11.19/4.92 % (4013902)------------------------------
% 11.19/4.92 % (4013902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013902)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013902)Termination reason: Instruction limit
% 11.19/4.92 % (4013902)Termination phase: Saturation
% 11.19/4.92 % (4013902)Time elapsed: 1.033 s
% 11.19/4.92 % (4013902)Peak memory usage: 97 MB
% 11.19/4.92 % (4013902)Instructions burned: 1187 (million)
% 11.19/4.92 % (4013916)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=4280492688:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2988 on theBenchmark for (2988ds/317Mi)
% 11.19/4.92 % (4013917)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=3263741831:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 11.19/4.92 % (4013916)Instruction limit reached!
% 11.19/4.92 % (4013916)------------------------------
% 11.19/4.92 % (4013916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013916)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013916)Termination reason: Instruction limit
% 11.19/4.92 % (4013916)Termination phase: Saturation
% 11.19/4.92 % (4013916)Time elapsed: 0.333 s
% 11.19/4.92 % (4013916)Peak memory usage: 93 MB
% 11.19/4.92 % (4013916)Instructions burned: 317 (million)
% 11.19/4.92 % (4013920)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1344223118:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 11.19/4.92 % (4013910)Instruction limit reached!
% 11.19/4.92 % (4013910)------------------------------
% 11.19/4.92 % (4013910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.19/4.92 % (4013910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/4.92 % (4013910)CaDiCaL version: 2.1.3
% 11.19/4.92 % (4013910)Termination reason: Instruction limit
% 11.19/4.92 % (4013910)Termination phase: Saturation
% 11.19/4.92 % (4013910)Time elapsed: 2.168 s
% 11.19/4.92 % (4013910)Peak memory usage: 142 MB
% 11.19/4.92 % (4013910)Instructions burned: 2051 (million)
% 11.19/4.92 % (4013922)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2699411859:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 11.19/4.92 % (4013896)First to succeed.
% 11.19/4.92 % (4013896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4013890"
% 11.19/4.92 % (4013896)Refutation found. Thanks to Tanya!
% 11.19/4.92 % SZS status Unsatisfiable for theBenchmark
% 11.19/4.92 % SZS output start Proof for theBenchmark
% See solution above
% 27.41/5.20 % (4013896)------------------------------
% 27.41/5.20 % (4013896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.41/5.20 % (4013896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.41/5.20 % (4013896)CaDiCaL version: 2.1.3
% 27.41/5.20 % (4013896)Termination reason: Refutation
% 27.41/5.20 % (4013896)Time elapsed: 3.077 s
% 27.41/5.20 % (4013896)Peak memory usage: 151 MB
% 27.41/5.20 % (4013896)Instructions burned: 2911 (million)
% 27.41/5.20 % (4013896)------------------------------
% 27.41/5.20 % (4013896)------------------------------
% 27.41/5.20 % (4013890)Success in time 3.75 s
% 27.41/5.20 % Vampire exiting
%------------------------------------------------------------------------------