%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT154-1 : 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 : n001.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 16.99s 3.36s
% Output : Refutation 17.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 138 ( 62 unt; 20 def)
% Number of atoms : 289 ( 101 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 : 7 ( 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 : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
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(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X1,join(X3,meet(X0,X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H42) ).
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(f45,definition,
( spl7_1
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f47,plain,
( sF2 != sF6
| spl7_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f25,f45]) ).
fof(f50,definition,
( spl7_2
<=> sF6 = meet(sF5,a) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f52,plain,
( sF6 = meet(sF5,a)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
spl7_2,
inference(avatar_split_clause,[],[f32,f50]) ).
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(f86,definition,
( spl7_7
<=> sF1 = join(sF0,b) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f88,plain,
( sF1 = join(sF0,b)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
spl7_7,
inference(avatar_split_clause,[],[f27,f86]) ).
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,f52]) ).
fof(f149,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X0)))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(superposition,[],[f9,f4]) ).
fof(f174,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(forward_demodulation,[],[f149,f2]) ).
fof(f179,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f180,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f36]) ).
fof(f186,plain,
( ! [X0] : join(sF5,X0) = join(sF4,join(sF2,X0))
| ~ spl7_3 ),
inference(superposition,[],[f8,f58]) ).
fof(f193,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f252,plain,
( ! [X0] : join(sF3,X0) = join(sF3,join(sF4,X0))
| ~ spl7_8 ),
inference(superposition,[],[f179,f111]) ).
fof(f555,plain,
( ! [X0] : meet(a,join(b,meet(X0,a))) = meet(a,join(b,meet(X0,sF3)))
| ~ spl7_5 ),
inference(superposition,[],[f174,f72]) ).
fof(f911,plain,
( ! [X0] : join(a,X0) = join(a,join(sF2,X0))
| ~ spl7_4 ),
inference(superposition,[],[f180,f63]) ).
fof(f957,plain,
( ! [X0] : join(a,X0) = join(sF2,join(X0,a))
| ~ spl7_4 ),
inference(forward_demodulation,[],[f911,f193]) ).
fof(f1610,plain,
( ! [X0] : join(sF5,X0) = join(sF4,join(X0,sF2))
| ~ spl7_3 ),
inference(superposition,[],[f186,f6]) ).
fof(f1750,plain,
( join(a,b) = join(sF2,sF3)
| ~ spl7_4
| ~ spl7_5 ),
inference(superposition,[],[f957,f72]) ).
fof(f1773,plain,
( join(a,b) = join(sF3,sF2)
| ~ spl7_4
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1750,f6]) ).
fof(f1776,plain,
( join(b,a) = join(sF3,sF2)
| ~ spl7_4
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1773,f6]) ).
fof(f1778,plain,
( sF3 = join(sF3,sF2)
| ~ spl7_4
| ~ spl7_5 ),
inference(forward_demodulation,[],[f1776,f72]) ).
fof(f2083,plain,
( meet(a,join(b,meet(c,sF3))) = meet(a,join(b,sF0))
| ~ spl7_5
| ~ spl7_6 ),
inference(superposition,[],[f555,f81]) ).
fof(f2085,plain,
( meet(a,join(b,meet(sF5,sF3))) = meet(a,join(b,sF6))
| ~ spl7_2
| ~ spl7_5 ),
inference(superposition,[],[f555,f52]) ).
fof(f2117,plain,
( meet(a,join(b,sF6)) = meet(a,join(b,meet(sF3,sF5)))
| ~ spl7_2
| ~ spl7_5 ),
inference(forward_demodulation,[],[f2085,f5]) ).
fof(f2118,plain,
( meet(a,join(b,meet(c,sF3))) = meet(a,join(sF0,b))
| ~ spl7_5
| ~ spl7_6 ),
inference(forward_demodulation,[],[f2083,f6]) ).
fof(f2127,plain,
( meet(a,sF1) = meet(a,join(b,meet(c,sF3)))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f2118,f88]) ).
fof(f2130,plain,
( meet(a,sF1) = meet(a,join(b,meet(sF3,c)))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f2127,f5]) ).
fof(f2133,plain,
( meet(a,sF1) = meet(a,join(b,sF4))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2130,f111]) ).
fof(f2135,plain,
( meet(a,sF1) = meet(a,join(sF4,b))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2133,f6]) ).
fof(f2137,plain,
( meet(sF1,a) = meet(a,join(sF4,b))
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2135,f5]) ).
fof(f2139,plain,
( sF2 = meet(a,join(sF4,b))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_demodulation,[],[f2137,f63]) ).
fof(f2141,definition,
( spl7_13
<=> sF2 = meet(a,join(sF4,b)) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f2143,plain,
( sF2 = meet(a,join(sF4,b))
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2144,plain,
( spl7_13
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f2139,f109,f86,f79,f70,f61,f2141]) ).
fof(f2153,plain,
( join(sF4,b) = join(join(sF4,b),sF2)
| ~ spl7_13 ),
inference(superposition,[],[f36,f2143]) ).
fof(f2169,plain,
( join(sF4,b) = join(sF4,join(b,sF2))
| ~ spl7_13 ),
inference(forward_demodulation,[],[f2153,f8]) ).
fof(f2178,plain,
( join(sF4,b) = join(sF5,b)
| ~ spl7_3
| ~ spl7_13 ),
inference(forward_demodulation,[],[f2169,f1610]) ).
fof(f2183,definition,
( spl7_14
<=> join(sF4,b) = join(sF5,b) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f2185,plain,
( join(sF4,b) = join(sF5,b)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2186,plain,
( spl7_14
| ~ spl7_3
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f2178,f2141,f56,f2183]) ).
fof(f2322,definition,
( spl7_17
<=> sF3 = join(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f2324,plain,
( sF3 = join(sF3,sF2)
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f2325,plain,
( spl7_17
| ~ spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f1778,f70,f61,f2322]) ).
fof(f3538,plain,
( join(sF3,sF2) = join(sF3,sF5)
| ~ spl7_3
| ~ spl7_8 ),
inference(superposition,[],[f252,f58]) ).
fof(f3594,plain,
( sF3 = join(sF3,sF5)
| ~ spl7_3
| ~ spl7_8
| ~ spl7_17 ),
inference(forward_demodulation,[],[f3538,f2324]) ).
fof(f3610,definition,
( spl7_27
<=> sF3 = join(sF3,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
fof(f3612,plain,
( sF3 = join(sF3,sF5)
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f3610]) ).
fof(f3613,plain,
( spl7_27
| ~ spl7_3
| ~ spl7_8
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f3594,f2322,f109,f56,f3610]) ).
fof(f3616,plain,
( sF5 = meet(sF5,sF3)
| ~ spl7_27 ),
inference(superposition,[],[f38,f3612]) ).
fof(f3631,plain,
( sF5 = meet(sF3,sF5)
| ~ spl7_27 ),
inference(forward_demodulation,[],[f3616,f5]) ).
fof(f3634,plain,
( meet(a,join(b,sF6)) = meet(a,join(b,sF5))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_27 ),
inference(backward_demodulation,[],[f2117,f3631]) ).
fof(f3636,plain,
( meet(a,join(b,sF6)) = meet(a,join(sF5,b))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_27 ),
inference(forward_demodulation,[],[f3634,f6]) ).
fof(f3637,plain,
( meet(a,join(b,sF6)) = meet(a,join(sF4,b))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_14
| ~ spl7_27 ),
inference(forward_demodulation,[],[f3636,f2185]) ).
fof(f3638,plain,
( sF2 = meet(a,join(b,sF6))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_13
| ~ spl7_14
| ~ spl7_27 ),
inference(forward_demodulation,[],[f3637,f2143]) ).
fof(f3640,definition,
( spl7_28
<=> sF2 = meet(a,join(b,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition]) ).
fof(f3642,plain,
( sF2 = meet(a,join(b,sF6))
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f3640]) ).
fof(f3643,plain,
( spl7_28
| ~ spl7_2
| ~ spl7_5
| ~ spl7_13
| ~ spl7_14
| ~ spl7_27 ),
inference(avatar_split_clause,[],[f3638,f3610,f2183,f2141,f70,f50,f3640]) ).
fof(f3644,plain,
( meet(sF5,sF2) = meet(sF6,join(b,sF6))
| ~ spl7_2
| ~ spl7_28 ),
inference(superposition,[],[f124,f3642]) ).
fof(f3680,plain,
( sF6 = meet(sF5,sF2)
| ~ spl7_2
| ~ spl7_28 ),
inference(forward_demodulation,[],[f3644,f38]) ).
fof(f3684,plain,
( sF2 = sF6
| ~ spl7_2
| ~ spl7_3
| ~ spl7_28 ),
inference(forward_demodulation,[],[f3680,f68]) ).
fof(f3686,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_28 ),
inference(forward_subsumption_resolution,[],[f3684,f47]) ).
fof(f3687,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_28 ),
inference(avatar_contradiction_clause,[],[f3686]) ).
cnf(s1,plain,
~ spl7_1,
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f53]) ).
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,[],[f89]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| spl7_13 ),
inference(sat_conversion,[],[f2144]) ).
cnf(s14,plain,
( ~ spl7_3
| ~ spl7_13
| spl7_14 ),
inference(sat_conversion,[],[f2186]) ).
cnf(s17,plain,
( ~ spl7_4
| ~ spl7_5
| spl7_17 ),
inference(sat_conversion,[],[f2325]) ).
cnf(s27,plain,
( ~ spl7_3
| ~ spl7_8
| ~ spl7_17
| spl7_27 ),
inference(sat_conversion,[],[f3613]) ).
cnf(s28,plain,
( ~ spl7_2
| ~ spl7_5
| ~ spl7_13
| ~ spl7_14
| ~ spl7_27
| spl7_28 ),
inference(sat_conversion,[],[f3643]) ).
cnf(s29,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_28 ),
inference(sat_conversion,[],[f3687]) ).
cnf(s37,plain,
spl7_17,
inference(rat,[],[s17,s5,s4]) ).
cnf(s38,plain,
spl7_13,
inference(rat,[],[s13,s5,s8,s7,s6,s4]) ).
cnf(s40,plain,
spl7_27,
inference(rat,[],[s27,s37,s8,s3]) ).
cnf(s43,plain,
spl7_14,
inference(rat,[],[s14,s38,s3]) ).
cnf(s45,plain,
spl7_28,
inference(rat,[],[s28,s43,s40,s38,s5,s2]) ).
cnf(s49,plain,
spl7_1,
inference(rat,[],[s29,s2,s3,s45]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s1,s49]) ).
fof(f3690,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT154-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.41 % Computer : n001.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Sun Sep 27 14:09:01 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 16.99/3.36 % (3598487)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.99/3.36 % (3598493)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=4143684330:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.99/3.36 % (3598497)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1333304217:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.99/3.36 % (3598496)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1120999967:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.99/3.36 % (3598492)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=423148372:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.99/3.36 % (3598494)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3302196360:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.99/3.36 % (3598495)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3797026821:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.99/3.36 % (3598496)Refutation not found, incomplete strategy
% 16.99/3.36 % (3598496)------------------------------
% 16.99/3.36 % (3598496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598496)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598496)Termination reason: Refutation not found, incomplete strategy
% 16.99/3.36 % (3598496)Time elapsed: 0.002 s
% 16.99/3.36 % (3598496)Peak memory usage: 87 MB
% 16.99/3.36 % (3598496)Instructions burned: 1 (million)
% 16.99/3.36 % (3598498)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4127983781:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.99/3.36 % (3598495)Instruction limit reached!
% 16.99/3.36 % (3598495)------------------------------
% 16.99/3.36 % (3598495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598495)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598495)Termination reason: Instruction limit
% 16.99/3.36 % (3598495)Termination phase: Saturation
% 16.99/3.36 % (3598495)Time elapsed: 0.138 s
% 16.99/3.36 % (3598495)Peak memory usage: 88 MB
% 16.99/3.36 % (3598495)Instructions burned: 136 (million)
% 16.99/3.36 % (3598497)Instruction limit reached!
% 16.99/3.36 % (3598497)------------------------------
% 16.99/3.36 % (3598497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598497)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598497)Termination reason: Instruction limit
% 16.99/3.36 % (3598497)Termination phase: Saturation
% 16.99/3.36 % (3598497)Time elapsed: 0.262 s
% 16.99/3.36 % (3598497)Peak memory usage: 90 MB
% 16.99/3.36 % (3598497)Instructions burned: 257 (million)
% 16.99/3.36 % (3598506)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=328802405:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 16.99/3.36 % (3598496)------------------------------
% 16.99/3.36 % (3598496)------------------------------
% 16.99/3.36 % (3598507)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4156264561:i=4948:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/4948Mi)
% 16.99/3.36 % (3598509)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2990554130:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 16.99/3.36 % (3598509)Instruction limit reached!
% 16.99/3.36 % (3598509)------------------------------
% 16.99/3.36 % (3598509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598509)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598509)Termination reason: Instruction limit
% 16.99/3.36 % (3598509)Termination phase: Saturation
% 16.99/3.36 % (3598509)Time elapsed: 0.173 s
% 16.99/3.36 % (3598509)Peak memory usage: 89 MB
% 16.99/3.36 % (3598509)Instructions burned: 215 (million)
% 16.99/3.36 % (3598498)Instruction limit reached!
% 16.99/3.36 % (3598498)------------------------------
% 16.99/3.36 % (3598498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598498)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598498)Termination reason: Instruction limit
% 16.99/3.36 % (3598498)Termination phase: Saturation
% 16.99/3.36 % (3598498)Time elapsed: 1.045 s
% 16.99/3.36 % (3598498)Peak memory usage: 97 MB
% 16.99/3.36 % (3598498)Instructions burned: 1188 (million)
% 16.99/3.36 % (3598512)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=1912283651: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)
% 16.99/3.36 % (3598513)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=706596438:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 16.99/3.36 % (3598512)Instruction limit reached!
% 16.99/3.36 % (3598512)------------------------------
% 16.99/3.36 % (3598512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.99/3.36 % (3598512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.99/3.36 % (3598512)CaDiCaL version: 2.1.3
% 16.99/3.36 % (3598512)Termination reason: Instruction limit
% 16.99/3.36 % (3598512)Termination phase: Saturation
% 16.99/3.36 % (3598512)Time elapsed: 0.331 s
% 16.99/3.36 % (3598512)Peak memory usage: 94 MB
% 16.99/3.36 % (3598512)Instructions burned: 317 (million)
% 16.99/3.36 % (3598492)First to succeed.
% 16.99/3.36 % (3598492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3598487"
% 16.99/3.36 % (3598516)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3690975943:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 16.99/3.36 % (3598492)Refutation found. Thanks to Tanya!
% 16.99/3.36 % SZS status Unsatisfiable for theBenchmark
% 16.99/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 17.61/3.60 % (3598492)------------------------------
% 17.61/3.60 % (3598492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.61/3.60 % (3598492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.61/3.60 % (3598492)CaDiCaL version: 2.1.3
% 17.61/3.60 % (3598492)Termination reason: Refutation
% 17.61/3.60 % (3598492)Time elapsed: 1.660 s
% 17.61/3.60 % (3598492)Peak memory usage: 135 MB
% 17.61/3.60 % (3598492)Instructions burned: 1581 (million)
% 17.61/3.60 % (3598492)------------------------------
% 17.61/3.60 % (3598492)------------------------------
% 17.61/3.60 % (3598487)Success in time 2.383 s
% 17.61/3.60 % Vampire exiting
%------------------------------------------------------------------------------