%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT164-1 : 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 : n006.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 11:46:07 AM UTC 2026
% Result : Unsatisfiable 10.88s 2.16s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 135 ( 59 unt; 20 def)
% Number of atoms : 286 ( 98 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 292 ( 141 ~; 138 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 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,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H76) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
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 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12,f16,f14,f12]) ).
fof(f26,plain,
sF0 = meet(c,a),
inference(forward_demodulation,[],[f12,f5]) ).
fof(f27,plain,
sF1 = join(sF0,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f28,plain,
sF2 = meet(sF1,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f29,plain,
sF3 = join(b,a),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f30,plain,
sF4 = meet(sF3,c),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f31,plain,
sF5 = join(sF4,sF2),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f32,plain,
sF6 = meet(sF5,a),
inference(forward_demodulation,[],[f24,f5]) ).
fof(f36,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f38,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f40,definition,
( spl7_1
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f42,plain,
( sF2 != sF6
| spl7_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f25,f40]) ).
fof(f45,definition,
( spl7_2
<=> sF6 = meet(sF5,a) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f47,plain,
( sF6 = meet(sF5,a)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl7_2,
inference(avatar_split_clause,[],[f32,f45]) ).
fof(f56,definition,
( spl7_3
<=> sF5 = join(sF4,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f58,plain,
( sF5 = join(sF4,sF2)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
spl7_3,
inference(avatar_split_clause,[],[f31,f56]) ).
fof(f61,definition,
( spl7_4
<=> sF2 = meet(sF1,a) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f63,plain,
( sF2 = meet(sF1,a)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
spl7_4,
inference(avatar_split_clause,[],[f28,f61]) ).
fof(f66,plain,
( sF2 = meet(sF2,sF5)
| ~ spl7_3 ),
inference(superposition,[],[f38,f58]) ).
fof(f68,plain,
( sF2 = meet(sF5,sF2)
| ~ spl7_3 ),
inference(forward_demodulation,[],[f66,f5]) ).
fof(f70,definition,
( spl7_5
<=> sF3 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f72,plain,
( sF3 = join(b,a)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl7_5,
inference(avatar_split_clause,[],[f29,f70]) ).
fof(f79,definition,
( spl7_6
<=> sF0 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f81,plain,
( sF0 = meet(c,a)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
spl7_6,
inference(avatar_split_clause,[],[f26,f79]) ).
fof(f101,definition,
( spl7_7
<=> sF1 = join(sF0,b) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f103,plain,
( sF1 = join(sF0,b)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
spl7_7,
inference(avatar_split_clause,[],[f27,f101]) ).
fof(f109,definition,
( spl7_8
<=> sF4 = meet(sF3,c) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f111,plain,
( sF4 = meet(sF3,c)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
spl7_8,
inference(avatar_split_clause,[],[f30,f109]) ).
fof(f124,plain,
( ! [X0] : meet(sF5,meet(a,X0)) = meet(sF6,X0)
| ~ spl7_2 ),
inference(superposition,[],[f7,f47]) ).
fof(f139,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f146,plain,
( ! [X0] : join(sF4,join(sF2,X0)) = join(sF5,X0)
| ~ spl7_3 ),
inference(superposition,[],[f8,f58]) ).
fof(f153,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f171,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(superposition,[],[f9,f4]) ).
fof(f229,plain,
( ! [X0] : join(sF3,X0) = join(sF3,join(sF4,X0))
| ~ spl7_8 ),
inference(superposition,[],[f139,f111]) ).
fof(f258,plain,
( ! [X0] : meet(a,join(b,meet(X0,a))) = meet(a,join(b,meet(X0,sF3)))
| ~ spl7_5 ),
inference(superposition,[],[f171,f72]) ).
fof(f733,plain,
( ! [X0] : join(sF5,X0) = join(sF4,join(X0,sF2))
| ~ spl7_3 ),
inference(superposition,[],[f146,f6]) ).
fof(f884,plain,
( meet(a,join(b,meet(c,sF3))) = meet(a,join(b,sF0))
| ~ spl7_5
| ~ spl7_6 ),
inference(superposition,[],[f258,f81]) ).
fof(f886,plain,
( meet(a,join(b,meet(sF5,sF3))) = meet(a,join(b,sF6))
| ~ spl7_2
| ~ spl7_5 ),
inference(superposition,[],[f258,f47]) ).
fof(f912,plain,
( meet(a,join(b,sF6)) = meet(a,join(b,meet(sF3,sF5)))
| ~ spl7_2
| ~ spl7_5 ),
inference(forward_demodulation,[],[f886,f5]) ).
fof(f913,plain,
( meet(a,join(b,meet(c,sF3))) = meet(a,join(sF0,b))
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f884,f6]) ).
fof(f920,plain,
( meet(a,sF1) = meet(a,join(b,meet(c,sF3)))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f913,f103]) ).
fof(f925,plain,
( meet(a,sF1) = meet(a,join(b,meet(sF3,c)))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f920,f5]) ).
fof(f928,plain,
( meet(a,sF1) = meet(a,join(b,sF4))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f925,f111]) ).
fof(f930,plain,
( meet(a,sF1) = meet(a,join(sF4,b))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f928,f6]) ).
fof(f931,plain,
( meet(sF1,a) = meet(a,join(sF4,b))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f930,f5]) ).
fof(f932,plain,
( sF2 = meet(a,join(sF4,b))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f931,f63]) ).
fof(f934,definition,
( spl7_9
<=> sF2 = meet(a,join(sF4,b)) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f936,plain,
( sF2 = meet(a,join(sF4,b))
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( spl7_9
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f932,f109,f101,f79,f70,f61,f934]) ).
fof(f945,plain,
( join(sF4,b) = join(join(sF4,b),sF2)
| ~ spl7_9 ),
inference(superposition,[],[f36,f936]) ).
fof(f947,plain,
( ! [X0] : join(a,X0) = join(a,join(sF2,X0))
| ~ spl7_9 ),
inference(superposition,[],[f139,f936]) ).
fof(f951,plain,
( ! [X0] : join(a,X0) = join(sF2,join(X0,a))
| ~ spl7_9 ),
inference(forward_demodulation,[],[f947,f153]) ).
fof(f953,plain,
( join(sF4,b) = join(sF4,join(b,sF2))
| ~ spl7_9 ),
inference(forward_demodulation,[],[f945,f8]) ).
fof(f960,plain,
( join(sF4,b) = join(sF5,b)
| ~ spl7_3
| ~ spl7_9 ),
inference(forward_demodulation,[],[f953,f733]) ).
fof(f968,definition,
( spl7_10
<=> join(sF4,b) = join(sF5,b) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f970,plain,
( join(sF4,b) = join(sF5,b)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f971,plain,
( spl7_10
| ~ spl7_3
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f960,f934,f56,f968]) ).
fof(f2709,plain,
( join(a,b) = join(sF2,sF3)
| ~ spl7_5
| ~ spl7_9 ),
inference(superposition,[],[f951,f72]) ).
fof(f2742,plain,
( join(a,b) = join(sF3,sF2)
| ~ spl7_5
| ~ spl7_9 ),
inference(forward_demodulation,[],[f2709,f6]) ).
fof(f2749,plain,
( join(b,a) = join(sF3,sF2)
| ~ spl7_5
| ~ spl7_9 ),
inference(forward_demodulation,[],[f2742,f6]) ).
fof(f2753,plain,
( sF3 = join(sF3,sF2)
| ~ spl7_5
| ~ spl7_9 ),
inference(forward_demodulation,[],[f2749,f72]) ).
fof(f2758,definition,
( spl7_17
<=> sF3 = join(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f2760,plain,
( sF3 = join(sF3,sF2)
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f2758]) ).
fof(f2761,plain,
( spl7_17
| ~ spl7_5
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f2753,f934,f70,f2758]) ).
fof(f4695,plain,
( join(sF3,sF2) = join(sF3,sF5)
| ~ spl7_3
| ~ spl7_8 ),
inference(superposition,[],[f229,f58]) ).
fof(f4751,plain,
( sF3 = join(sF3,sF5)
| ~ spl7_3
| ~ spl7_8
| ~ spl7_17 ),
inference(forward_demodulation,[],[f4695,f2760]) ).
fof(f4767,definition,
( spl7_26
<=> sF3 = join(sF3,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
fof(f4769,plain,
( sF3 = join(sF3,sF5)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f4767]) ).
fof(f4770,plain,
( spl7_26
| ~ spl7_3
| ~ spl7_8
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f4751,f2758,f109,f56,f4767]) ).
fof(f4773,plain,
( sF5 = meet(sF5,sF3)
| ~ spl7_26 ),
inference(superposition,[],[f38,f4769]) ).
fof(f4792,plain,
( sF5 = meet(sF3,sF5)
| ~ spl7_26 ),
inference(forward_demodulation,[],[f4773,f5]) ).
fof(f4797,plain,
( meet(a,join(b,sF6)) = meet(a,join(b,sF5))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_26 ),
inference(backward_demodulation,[],[f912,f4792]) ).
fof(f4800,plain,
( meet(a,join(b,sF6)) = meet(a,join(sF5,b))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_26 ),
inference(forward_demodulation,[],[f4797,f6]) ).
fof(f4801,plain,
( meet(a,join(b,sF6)) = meet(a,join(sF4,b))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_10
| ~ spl7_26 ),
inference(forward_demodulation,[],[f4800,f970]) ).
fof(f4802,plain,
( sF2 = meet(a,join(b,sF6))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_9
| ~ spl7_10
| ~ spl7_26 ),
inference(forward_demodulation,[],[f4801,f936]) ).
fof(f4804,definition,
( spl7_27
<=> sF2 = meet(a,join(b,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
fof(f4806,plain,
( sF2 = meet(a,join(b,sF6))
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f4804]) ).
fof(f4807,plain,
( spl7_27
| ~ spl7_2
| ~ spl7_5
| ~ spl7_9
| ~ spl7_10
| ~ spl7_26 ),
inference(avatar_split_clause,[],[f4802,f4767,f968,f934,f70,f45,f4804]) ).
fof(f4808,plain,
( meet(sF5,sF2) = meet(sF6,join(b,sF6))
| ~ spl7_2
| ~ spl7_27 ),
inference(superposition,[],[f124,f4806]) ).
fof(f4849,plain,
( sF6 = meet(sF5,sF2)
| ~ spl7_2
| ~ spl7_27 ),
inference(forward_demodulation,[],[f4808,f38]) ).
fof(f4856,plain,
( sF2 = sF6
| ~ spl7_2
| ~ spl7_3
| ~ spl7_27 ),
inference(forward_demodulation,[],[f4849,f68]) ).
fof(f4861,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_27 ),
inference(forward_subsumption_resolution,[],[f4856,f42]) ).
fof(f4862,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_27 ),
inference(avatar_contradiction_clause,[],[f4861]) ).
cnf(s1,plain,
~ spl7_1,
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
spl7_4,
inference(sat_conversion,[],[f64]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f104]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f112]) ).
cnf(s9,plain,
( ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f937]) ).
cnf(s10,plain,
( ~ spl7_3
| ~ spl7_9
| spl7_10 ),
inference(sat_conversion,[],[f971]) ).
cnf(s17,plain,
( ~ spl7_5
| ~ spl7_9
| spl7_17 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s26,plain,
( ~ spl7_3
| ~ spl7_8
| ~ spl7_17
| spl7_26 ),
inference(sat_conversion,[],[f4770]) ).
cnf(s27,plain,
( ~ spl7_2
| ~ spl7_5
| ~ spl7_9
| ~ spl7_10
| ~ spl7_26
| spl7_27 ),
inference(sat_conversion,[],[f4807]) ).
cnf(s28,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_27 ),
inference(sat_conversion,[],[f4862]) ).
cnf(s36,plain,
spl7_9,
inference(rat,[],[s9,s5,s8,s7,s6,s4]) ).
cnf(s38,plain,
spl7_17,
inference(rat,[],[s17,s5,s36]) ).
cnf(s40,plain,
spl7_26,
inference(rat,[],[s26,s38,s8,s3]) ).
cnf(s42,plain,
spl7_10,
inference(rat,[],[s10,s36,s3]) ).
cnf(s43,plain,
spl7_27,
inference(rat,[],[s27,s42,s40,s36,s5,s2]) ).
cnf(s47,plain,
spl7_1,
inference(rat,[],[s28,s2,s3,s43]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s1,s47]) ).
fof(f4867,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT164-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:03:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 10.88/2.16 % (2998590)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.88/2.16 % (2998601)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1280277234:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.88/2.16 % (2998598)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1521003227:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.88/2.16 % (2998595)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=3956532626:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.88/2.16 % (2998599)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1593083052:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.88/2.16 % (2998597)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2996015378:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.88/2.16 % (2998600)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2642971107:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.88/2.16 % (2998596)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=385290519:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.88/2.16 % (2998599)Refutation not found, incomplete strategy
% 10.88/2.16 % (2998599)------------------------------
% 10.88/2.16 % (2998599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998599)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998599)Termination reason: Refutation not found, incomplete strategy
% 10.88/2.16 % (2998599)Time elapsed: 0.001 s
% 10.88/2.16 % (2998599)Peak memory usage: 87 MB
% 10.88/2.16 % (2998599)Instructions burned: 1 (million)
% 10.88/2.16 % (2998598)Instruction limit reached!
% 10.88/2.16 % (2998598)------------------------------
% 10.88/2.16 % (2998598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998598)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998598)Termination reason: Instruction limit
% 10.88/2.16 % (2998598)Termination phase: Saturation
% 10.88/2.16 % (2998598)Time elapsed: 0.080 s
% 10.88/2.16 % (2998598)Peak memory usage: 88 MB
% 10.88/2.16 % (2998598)Instructions burned: 136 (million)
% 10.88/2.16 % (2998600)Instruction limit reached!
% 10.88/2.16 % (2998600)------------------------------
% 10.88/2.16 % (2998600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998600)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998600)Termination reason: Instruction limit
% 10.88/2.16 % (2998600)Termination phase: Saturation
% 10.88/2.16 % (2998600)Time elapsed: 0.157 s
% 10.88/2.16 % (2998600)Peak memory usage: 90 MB
% 10.88/2.16 % (2998600)Instructions burned: 257 (million)
% 10.88/2.16 % (2998609)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1237031822:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.88/2.16 % (2998599)------------------------------
% 10.88/2.16 % (2998599)------------------------------
% 10.88/2.16 % (2998610)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1418636130:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.88/2.16 % (2998612)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2463849746:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.88/2.16 % (2998612)Instruction limit reached!
% 10.88/2.16 % (2998612)------------------------------
% 10.88/2.16 % (2998612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998612)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998612)Termination reason: Instruction limit
% 10.88/2.16 % (2998612)Termination phase: Saturation
% 10.88/2.16 % (2998612)Time elapsed: 0.102 s
% 10.88/2.16 % (2998612)Peak memory usage: 89 MB
% 10.88/2.16 % (2998612)Instructions burned: 215 (million)
% 10.88/2.16 % (2998601)Instruction limit reached!
% 10.88/2.16 % (2998601)------------------------------
% 10.88/2.16 % (2998601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998601)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998601)Termination reason: Instruction limit
% 10.88/2.16 % (2998601)Termination phase: Saturation
% 10.88/2.16 % (2998601)Time elapsed: 0.603 s
% 10.88/2.16 % (2998601)Peak memory usage: 97 MB
% 10.88/2.16 % (2998601)Instructions burned: 1188 (million)
% 10.88/2.16 % (2998615)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=3040361611:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 10.88/2.16 % (2998616)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=3898109319:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 10.88/2.16 % (2998615)Instruction limit reached!
% 10.88/2.16 % (2998615)------------------------------
% 10.88/2.16 % (2998615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.16 % (2998615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.16 % (2998615)CaDiCaL version: 2.1.3
% 10.88/2.16 % (2998615)Termination reason: Instruction limit
% 10.88/2.16 % (2998615)Termination phase: Saturation
% 10.88/2.16 % (2998615)Time elapsed: 0.190 s
% 10.88/2.16 % (2998615)Peak memory usage: 92 MB
% 10.88/2.16 % (2998615)Instructions burned: 317 (million)
% 10.88/2.16 % (2998619)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4137831168:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 10.88/2.16 % (2998595)First to succeed.
% 10.88/2.16 % (2998595)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2998590"
% 10.88/2.16 % (2998595)Refutation found. Thanks to Tanya!
% 10.88/2.16 % SZS status Unsatisfiable for theBenchmark
% 10.88/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/2.36 % (2998595)------------------------------
% 11.25/2.36 % (2998595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.36 % (2998595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.36 % (2998595)CaDiCaL version: 2.1.3
% 11.25/2.36 % (2998595)Termination reason: Refutation
% 11.25/2.36 % (2998595)Time elapsed: 1.144 s
% 11.25/2.36 % (2998595)Peak memory usage: 137 MB
% 11.25/2.36 % (2998595)Instructions burned: 1825 (million)
% 11.25/2.36 % (2998595)------------------------------
% 11.25/2.36 % (2998595)------------------------------
% 11.25/2.36 % (2998590)Success in time 1.539 s
% 11.25/2.36 % Vampire exiting
%------------------------------------------------------------------------------