%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT140-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:03 AM UTC 2026
% Result : Unsatisfiable 13.23s 6.16s
% Output : Refutation 37.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 19
% Syntax : Number of formulae : 148 ( 148 unt; 11 def)
% Number of atoms : 148 ( 142 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X1,join(X0,meet(X1,X2))),meet(X2,join(X0,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H21) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H2) ).
fof(f11,definition,
~ sP0(meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(a,c)))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,definition,
sF1 = join(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,c) = 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(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(b,c) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(sF2,sF3) = 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(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(b,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,plain,
~ sP0(sF7),
inference(definition_folding,[],[f11,f26,f24,f22,f20,f18,f16,f14]) ).
fof(f28,definition,
sF8 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
meet(a,c) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = join(b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
join(b,sF8) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF10 = meet(a,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f33,plain,
meet(a,sF9) = sF10,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sP0(sF10),
inference(definition_folding,[],[f12,f33,f31,f29]) ).
fof(f35,plain,
sF1 = join(c,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f36,plain,
sF3 = meet(c,b),
inference(forward_demodulation,[],[f18,f5]) ).
fof(f37,plain,
sF4 = join(sF3,sF2),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f38,plain,
sF8 = meet(c,a),
inference(forward_demodulation,[],[f29,f5]) ).
fof(f39,plain,
sF2 = meet(a,join(c,b)),
inference(backward_demodulation,[],[f16,f35]) ).
fof(f40,plain,
sF4 = join(meet(c,b),sF2),
inference(forward_demodulation,[],[f37,f36]) ).
fof(f43,plain,
b = meet(b,sF9),
inference(superposition,[],[f3,f31]) ).
fof(f50,plain,
c = join(c,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f51,plain,
c = join(c,sF8),
inference(superposition,[],[f4,f38]) ).
fof(f58,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f60,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f63,plain,
meet(c,b) = meet(meet(c,b),sF4),
inference(superposition,[],[f3,f40]) ).
fof(f64,plain,
meet(c,b) = meet(c,meet(b,sF4)),
inference(forward_demodulation,[],[f63,f7]) ).
fof(f97,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f101,plain,
! [X0] : meet(a,meet(sF6,X0)) = meet(sF7,X0),
inference(superposition,[],[f7,f26]) ).
fof(f102,plain,
! [X0] : meet(a,meet(sF9,X0)) = meet(sF10,X0),
inference(superposition,[],[f7,f33]) ).
fof(f103,plain,
! [X0] : meet(a,meet(join(c,b),X0)) = meet(sF2,X0),
inference(superposition,[],[f7,f39]) ).
fof(f106,plain,
! [X0] : meet(c,meet(sF4,X0)) = meet(sF5,X0),
inference(superposition,[],[f7,f22]) ).
fof(f107,plain,
! [X0] : meet(c,meet(a,X0)) = meet(sF8,X0),
inference(superposition,[],[f7,f38]) ).
fof(f114,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[],[f58,f7]) ).
fof(f126,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f60,f58]) ).
fof(f129,plain,
sF2 = meet(sF2,sF4),
inference(superposition,[],[f60,f40]) ).
fof(f136,plain,
sF8 = meet(sF8,sF9),
inference(superposition,[],[f60,f31]) ).
fof(f151,plain,
sF8 = meet(sF9,sF8),
inference(forward_demodulation,[],[f136,f5]) ).
fof(f157,plain,
sF2 = meet(sF4,sF2),
inference(forward_demodulation,[],[f129,f5]) ).
fof(f158,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f126,f5]) ).
fof(f169,plain,
sF9 = join(sF9,sF8),
inference(superposition,[],[f4,f151]) ).
fof(f245,plain,
! [X0] : meet(sF7,X0) = meet(a,meet(X0,sF6)),
inference(superposition,[],[f101,f5]) ).
fof(f248,plain,
! [X0] : meet(a,sF6) = meet(sF7,join(X0,sF6)),
inference(superposition,[],[f101,f60]) ).
fof(f255,plain,
! [X0] : sF7 = meet(sF7,join(X0,sF6)),
inference(forward_demodulation,[],[f248,f26]) ).
fof(f320,plain,
! [X0] : meet(sF10,X0) = meet(a,meet(X0,sF9)),
inference(superposition,[],[f102,f5]) ).
fof(f323,plain,
! [X0] : meet(a,sF9) = meet(sF10,join(X0,sF9)),
inference(superposition,[],[f102,f60]) ).
fof(f330,plain,
! [X0] : sF10 = meet(sF10,join(X0,sF9)),
inference(forward_demodulation,[],[f323,f33]) ).
fof(f386,plain,
meet(sF5,sF2) = meet(c,sF2),
inference(superposition,[],[f106,f157]) ).
fof(f389,plain,
! [X0] : meet(sF5,X0) = meet(c,meet(X0,sF4)),
inference(superposition,[],[f106,f5]) ).
fof(f402,plain,
meet(c,b) = meet(sF5,b),
inference(backward_demodulation,[],[f64,f389]) ).
fof(f405,plain,
meet(c,b) = meet(b,sF5),
inference(forward_demodulation,[],[f402,f5]) ).
fof(f408,plain,
sF5 = join(sF5,meet(c,b)),
inference(superposition,[],[f58,f405]) ).
fof(f410,plain,
sF5 = join(meet(c,b),sF5),
inference(forward_demodulation,[],[f408,f6]) ).
fof(f416,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(join(X2,X1),X0),
inference(superposition,[],[f8,f6]) ).
fof(f427,plain,
! [X0] : join(sF6,X0) = join(b,join(sF5,X0)),
inference(superposition,[],[f8,f24]) ).
fof(f429,plain,
! [X0] : join(sF9,X0) = join(b,join(sF8,X0)),
inference(superposition,[],[f8,f31]) ).
fof(f438,plain,
! [X0] : join(sF9,X0) = join(sF9,join(sF8,X0)),
inference(superposition,[],[f8,f169]) ).
fof(f446,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[],[f60,f8]) ).
fof(f448,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f6,f8]) ).
fof(f500,plain,
sF5 = join(sF5,meet(c,sF2)),
inference(superposition,[],[f4,f386]) ).
fof(f517,plain,
! [X0] : join(sF5,X0) = join(sF5,join(meet(c,sF2),X0)),
inference(superposition,[],[f8,f500]) ).
fof(f526,plain,
meet(c,sF2) = meet(sF8,join(c,b)),
inference(superposition,[],[f107,f39]) ).
fof(f551,plain,
meet(c,sF2) = meet(join(c,b),sF8),
inference(forward_demodulation,[],[f526,f5]) ).
fof(f739,plain,
! [X0] : join(sF6,X0) = join(b,join(X0,sF5)),
inference(superposition,[],[f427,f6]) ).
fof(f861,plain,
! [X0] : join(sF9,X0) = join(b,join(X0,sF8)),
inference(superposition,[],[f429,f6]) ).
fof(f980,plain,
join(meet(c,b),meet(c,a)) = meet(c,join(meet(b,join(c,meet(b,a))),sF2)),
inference(superposition,[],[f9,f39]) ).
fof(f1004,plain,
join(meet(c,b),meet(c,a)) = meet(c,join(sF2,meet(b,join(c,meet(b,a))))),
inference(forward_demodulation,[],[f980,f6]) ).
fof(f1105,plain,
meet(c,join(sF2,meet(b,join(c,meet(b,a))))) = join(meet(c,b),sF8),
inference(forward_demodulation,[],[f1004,f38]) ).
fof(f1160,plain,
meet(c,join(sF2,meet(b,join(c,meet(b,a))))) = join(sF8,meet(c,b)),
inference(forward_demodulation,[],[f1105,f6]) ).
fof(f1480,plain,
! [X0] : sF9 = join(sF9,meet(X0,b)),
inference(superposition,[],[f114,f43]) ).
fof(f2168,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f97,f5]) ).
fof(f3271,plain,
! [X0] : sF8 = meet(sF8,join(X0,c)),
inference(superposition,[],[f446,f51]) ).
fof(f3459,plain,
! [X0] : sF8 = meet(sF8,join(c,X0)),
inference(superposition,[],[f3271,f6]) ).
fof(f3659,plain,
! [X0] : sF8 = meet(join(c,X0),sF8),
inference(superposition,[],[f158,f3459]) ).
fof(f3660,plain,
sF8 = meet(c,sF2),
inference(backward_demodulation,[],[f551,f3659]) ).
fof(f3674,plain,
sF5 = join(sF5,sF8),
inference(backward_demodulation,[],[f500,f3660]) ).
fof(f3675,plain,
! [X0] : join(sF5,X0) = join(sF5,join(sF8,X0)),
inference(backward_demodulation,[],[f517,f3660]) ).
fof(f3702,plain,
! [X0] : join(sF5,X0) = join(sF8,join(X0,sF5)),
inference(forward_demodulation,[],[f3675,f448]) ).
fof(f3703,plain,
sF5 = join(sF8,sF5),
inference(forward_demodulation,[],[f3674,f6]) ).
fof(f3708,plain,
sF2 = join(sF2,sF8),
inference(superposition,[],[f58,f3660]) ).
fof(f3715,plain,
sF2 = join(sF8,sF2),
inference(forward_demodulation,[],[f3708,f6]) ).
fof(f3796,plain,
! [X0] : join(sF2,X0) = join(sF8,join(sF2,X0)),
inference(superposition,[],[f8,f3715]) ).
fof(f3824,plain,
join(b,sF5) = join(sF9,sF5),
inference(superposition,[],[f429,f3703]) ).
fof(f3834,plain,
sF6 = join(sF9,sF5),
inference(forward_demodulation,[],[f3824,f24]) ).
fof(f3971,plain,
meet(sF2,sF6) = meet(sF7,join(c,b)),
inference(superposition,[],[f103,f245]) ).
fof(f3972,plain,
meet(sF2,sF9) = meet(sF10,join(c,b)),
inference(superposition,[],[f103,f320]) ).
fof(f3988,plain,
meet(sF9,sF2) = meet(sF10,join(c,b)),
inference(forward_demodulation,[],[f3972,f5]) ).
fof(f3989,plain,
meet(sF2,sF6) = meet(join(c,b),sF7),
inference(forward_demodulation,[],[f3971,f5]) ).
fof(f4002,plain,
meet(sF6,sF2) = meet(join(c,b),sF7),
inference(forward_demodulation,[],[f3989,f5]) ).
fof(f5825,plain,
join(b,c) = join(sF6,c),
inference(superposition,[],[f739,f50]) ).
fof(f5843,plain,
join(b,c) = join(c,sF6),
inference(forward_demodulation,[],[f5825,f6]) ).
fof(f5850,plain,
join(c,b) = join(c,sF6),
inference(forward_demodulation,[],[f5843,f6]) ).
fof(f5866,plain,
sF7 = meet(sF7,join(c,b)),
inference(superposition,[],[f255,f5850]) ).
fof(f5877,plain,
sF7 = meet(join(c,b),sF7),
inference(forward_demodulation,[],[f5866,f5]) ).
fof(f5880,plain,
sF7 = meet(sF6,sF2),
inference(backward_demodulation,[],[f4002,f5877]) ).
fof(f6254,plain,
join(b,c) = join(sF9,c),
inference(superposition,[],[f861,f51]) ).
fof(f6274,plain,
join(b,c) = join(c,sF9),
inference(forward_demodulation,[],[f6254,f6]) ).
fof(f6282,plain,
join(c,b) = join(c,sF9),
inference(forward_demodulation,[],[f6274,f6]) ).
fof(f6568,plain,
sF10 = meet(sF10,join(c,b)),
inference(superposition,[],[f330,f6282]) ).
fof(f6578,plain,
sF10 = meet(sF9,sF2),
inference(backward_demodulation,[],[f3988,f6568]) ).
fof(f7766,plain,
! [X0] : join(sF4,X0) = join(sF2,join(meet(c,b),X0)),
inference(superposition,[],[f416,f40]) ).
fof(f7771,plain,
! [X2,X3,X0,X1] : join(X1,join(join(X0,X2),X3)) = join(join(X2,join(X0,X1)),X3),
inference(superposition,[],[f416,f416]) ).
fof(f7983,plain,
! [X2,X3,X0,X1] : join(X1,join(join(X0,X2),X3)) = join(X2,join(join(X0,X1),X3)),
inference(forward_demodulation,[],[f7771,f8]) ).
fof(f7986,plain,
! [X0] : join(sF4,X0) = join(meet(c,b),join(X0,sF2)),
inference(forward_demodulation,[],[f7766,f448]) ).
fof(f8017,plain,
! [X2,X3,X0,X1] : join(X2,join(X0,join(X1,X3))) = join(X1,join(join(X0,X2),X3)),
inference(forward_demodulation,[],[f7983,f8]) ).
fof(f8025,plain,
! [X2,X3,X0,X1] : join(X2,join(X0,join(X1,X3))) = join(X1,join(X0,join(X2,X3))),
inference(forward_demodulation,[],[f8017,f8]) ).
fof(f19214,plain,
! [X0,X1] : join(X1,join(sF2,X0)) = join(sF8,join(X1,join(sF2,X0))),
inference(superposition,[],[f3796,f448]) ).
fof(f25359,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(join(sF2,meet(b,join(c,meet(b,a)))),join(sF8,meet(c,b))),
inference(superposition,[],[f58,f1160]) ).
fof(f25378,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(sF2,join(meet(b,join(c,meet(b,a))),join(sF8,meet(c,b)))),
inference(forward_demodulation,[],[f25359,f8]) ).
fof(f25383,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(sF8,join(meet(b,join(c,meet(b,a))),join(sF2,meet(c,b)))),
inference(forward_demodulation,[],[f25378,f8025]) ).
fof(f25384,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(meet(b,join(c,meet(b,a))),join(sF2,meet(c,b))),
inference(forward_demodulation,[],[f25383,f19214]) ).
fof(f25385,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(sF2,join(meet(c,b),meet(b,join(c,meet(b,a))))),
inference(forward_demodulation,[],[f25384,f448]) ).
fof(f25386,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(meet(c,b),join(meet(b,join(c,meet(b,a))),sF2)),
inference(forward_demodulation,[],[f25385,f448]) ).
fof(f25387,plain,
join(sF2,meet(b,join(c,meet(b,a)))) = join(sF4,meet(b,join(c,meet(b,a)))),
inference(forward_demodulation,[],[f25386,f7986]) ).
fof(f25393,plain,
join(sF8,meet(c,b)) = meet(c,join(sF4,meet(b,join(c,meet(b,a))))),
inference(backward_demodulation,[],[f1160,f25387]) ).
fof(f56035,plain,
meet(sF4,c) = meet(sF4,join(sF8,meet(c,b))),
inference(superposition,[],[f2168,f25393]) ).
fof(f56618,plain,
meet(c,sF4) = meet(sF4,join(sF8,meet(c,b))),
inference(forward_demodulation,[],[f56035,f5]) ).
fof(f56899,plain,
sF5 = meet(sF4,join(sF8,meet(c,b))),
inference(forward_demodulation,[],[f56618,f22]) ).
fof(f56971,plain,
join(sF8,meet(c,b)) = join(join(sF8,meet(c,b)),sF5),
inference(superposition,[],[f58,f56899]) ).
fof(f56994,plain,
join(sF8,meet(c,b)) = join(sF8,join(meet(c,b),sF5)),
inference(forward_demodulation,[],[f56971,f8]) ).
fof(f57010,plain,
join(sF5,meet(c,b)) = join(sF8,meet(c,b)),
inference(forward_demodulation,[],[f56994,f3702]) ).
fof(f57017,plain,
join(meet(c,b),sF5) = join(sF8,meet(c,b)),
inference(forward_demodulation,[],[f57010,f6]) ).
fof(f57019,plain,
sF5 = join(sF8,meet(c,b)),
inference(forward_demodulation,[],[f57017,f410]) ).
fof(f57049,plain,
join(sF9,meet(c,b)) = join(sF9,sF5),
inference(superposition,[],[f438,f57019]) ).
fof(f57095,plain,
sF6 = join(sF9,meet(c,b)),
inference(forward_demodulation,[],[f57049,f3834]) ).
fof(f57109,plain,
sF6 = sF9,
inference(forward_demodulation,[],[f57095,f1480]) ).
fof(f57287,plain,
sF7 = meet(sF9,sF2),
inference(backward_demodulation,[],[f5880,f57109]) ).
fof(f58113,plain,
sF7 = sF10,
inference(forward_demodulation,[],[f57287,f6578]) ).
fof(f58682,plain,
~ sP0(sF10),
inference(backward_demodulation,[],[f27,f58113]) ).
fof(f59329,plain,
$false,
inference(forward_subsumption_resolution,[],[f58682,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT140-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n017.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 13:58:21 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 13.23/6.16 % (2575074)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.23/6.16 % (2575085)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1097552275:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.23/6.16 % (2575080)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=3293846251:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.23/6.16 % (2575081)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=803460992:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.23/6.16 % (2575083)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=549806607:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.23/6.16 % (2575079)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=1117763301:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.23/6.16 % (2575084)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1078428294:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.23/6.16 % (2575082)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1248322696:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.23/6.16 % (2575083)Refutation not found, incomplete strategy
% 13.23/6.16 % (2575083)------------------------------
% 13.23/6.16 % (2575083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575083)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575083)Termination reason: Refutation not found, incomplete strategy
% 13.23/6.16 % (2575083)Time elapsed: 0.002 s
% 13.23/6.16 % (2575083)Peak memory usage: 87 MB
% 13.23/6.16 % (2575083)Instructions burned: 1 (million)
% 13.23/6.16 % (2575082)Instruction limit reached!
% 13.23/6.16 % (2575082)------------------------------
% 13.23/6.16 % (2575082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575082)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575082)Termination reason: Instruction limit
% 13.23/6.16 % (2575082)Termination phase: Saturation
% 13.23/6.16 % (2575082)Time elapsed: 0.138 s
% 13.23/6.16 % (2575082)Peak memory usage: 88 MB
% 13.23/6.16 % (2575082)Instructions burned: 136 (million)
% 13.23/6.16 % (2575084)Instruction limit reached!
% 13.23/6.16 % (2575084)------------------------------
% 13.23/6.16 % (2575084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575084)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575084)Termination reason: Instruction limit
% 13.23/6.16 % (2575084)Termination phase: Saturation
% 13.23/6.16 % (2575084)Time elapsed: 0.263 s
% 13.23/6.16 % (2575084)Peak memory usage: 90 MB
% 13.23/6.16 % (2575084)Instructions burned: 257 (million)
% 13.23/6.16 % (2575083)------------------------------
% 13.23/6.16 % (2575083)------------------------------
% 13.23/6.16 % (2575093)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1556692859:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 13.23/6.16 % (2575094)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=847671475:i=4948:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/4948Mi)
% 13.23/6.16 % (2575095)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2501014570:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 13.23/6.16 % (2575085)Instruction limit reached!
% 13.23/6.16 % (2575085)------------------------------
% 13.23/6.16 % (2575085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575085)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575085)Termination reason: Instruction limit
% 13.23/6.16 % (2575085)Termination phase: Saturation
% 13.23/6.16 % (2575085)Time elapsed: 0.769 s
% 13.23/6.16 % (2575085)Peak memory usage: 98 MB
% 13.23/6.16 % (2575085)Instructions burned: 1187 (million)
% 13.23/6.16 % (2575095)Instruction limit reached!
% 13.23/6.16 % (2575095)------------------------------
% 13.23/6.16 % (2575095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575095)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575095)Termination reason: Instruction limit
% 13.23/6.16 % (2575095)Termination phase: Saturation
% 13.23/6.16 % (2575095)Time elapsed: 0.160 s
% 13.23/6.16 % (2575095)Peak memory usage: 90 MB
% 13.23/6.16 % (2575095)Instructions burned: 216 (million)
% 13.23/6.16 % (2575099)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=314057059:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 13.23/6.16 % (2575100)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=3800665518:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 13.23/6.16 % (2575099)Instruction limit reached!
% 13.23/6.16 % (2575099)------------------------------
% 13.23/6.16 % (2575099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575099)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575099)Termination reason: Instruction limit
% 13.23/6.16 % (2575099)Termination phase: Saturation
% 13.23/6.16 % (2575099)Time elapsed: 0.319 s
% 13.23/6.16 % (2575099)Peak memory usage: 94 MB
% 13.23/6.16 % (2575099)Instructions burned: 318 (million)
% 13.23/6.16 % (2575103)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3423806264:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 13.23/6.16 % (2575093)Instruction limit reached!
% 13.23/6.16 % (2575093)------------------------------
% 13.23/6.16 % (2575093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575093)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575093)Termination reason: Instruction limit
% 13.23/6.16 % (2575093)Termination phase: Saturation
% 13.23/6.16 % (2575093)Time elapsed: 2.124 s
% 13.23/6.16 % (2575093)Peak memory usage: 141 MB
% 13.23/6.16 % (2575093)Instructions burned: 2052 (million)
% 13.23/6.16 % (2575105)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=656707663:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 13.23/6.16 % (2575094)Instruction limit reached!
% 13.23/6.16 % (2575094)------------------------------
% 13.23/6.16 % (2575094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/6.16 % (2575094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/6.16 % (2575094)CaDiCaL version: 2.1.3
% 13.23/6.16 % (2575094)Termination reason: Instruction limit
% 13.23/6.16 % (2575094)Termination phase: Saturation
% 13.23/6.16 % (2575094)Time elapsed: 2.750 s
% 13.23/6.16 % (2575094)Peak memory usage: 161 MB
% 13.23/6.16 % (2575094)Instructions burned: 4950 (million)
% 13.23/6.16 % (2575107)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=652311833:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2964 on theBenchmark for (2964ds/11832Mi)
% 13.23/6.16 % (2575103)First to succeed.
% 13.23/6.16 % (2575103)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2575074"
% 13.23/6.16 % (2575103)Refutation found. Thanks to Tanya!
% 13.23/6.16 % SZS status Unsatisfiable for theBenchmark
% 13.23/6.16 % SZS output start Proof for theBenchmark
% See solution above
% 37.19/6.46 % (2575103)------------------------------
% 37.19/6.46 % (2575103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.19/6.46 % (2575103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.19/6.46 % (2575103)CaDiCaL version: 2.1.3
% 37.19/6.46 % (2575103)Termination reason: Refutation
% 37.19/6.46 % (2575103)Time elapsed: 2.732 s
% 37.19/6.46 % (2575103)Peak memory usage: 133 MB
% 37.19/6.46 % (2575103)Instructions burned: 2460 (million)
% 37.19/6.46 % (2575103)------------------------------
% 37.19/6.46 % (2575103)------------------------------
% 37.19/6.46 % (2575074)Success in time 5.141 s
% 37.19/6.46 % Vampire exiting
%------------------------------------------------------------------------------