%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:45:54 AM UTC 2026
% Result : Unsatisfiable 6.54s 1.52s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 146 ( 85 unt; 19 def)
% Number of atoms : 262 ( 112 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 226 ( 110 ~; 104 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility1) ).
fof(f10,axiom,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility2) ).
fof(f11,axiom,
! [X0] : join(complement(X0),X0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
fof(f13,axiom,
! [X0] : complement(complement(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
fof(f14,axiom,
! [X0,X1] : join(X0,meet(complement(X0),join(X0,X1))) = join(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',orthomodular_law) ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_weak_orthomodular_law) ).
fof(f17,plain,
n1 != join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))),
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF0 = complement(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
complement(a) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = join(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
join(a,b) = sF1,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF2 = meet(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f23,plain,
meet(sF0,sF1) = sF2,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF3 = complement(b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f25,plain,
complement(b) = sF3,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF4 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f27,plain,
meet(a,b) = sF4,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f29,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF6 = join(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f31,plain,
join(sF2,sF5) = sF6,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
n1 != sF6,
inference(definition_folding,[],[f17,f31,f29,f27,f25,f23,f21,f19]) ).
fof(f41,plain,
! [X0] : n1 = join(X0,complement(X0)),
inference(superposition,[],[f11,f6]) ).
fof(f42,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f44,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f46,definition,
( spl7_1
<=> complement(a) = sF0 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f48,plain,
( complement(a) = sF0
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
spl7_1,
inference(avatar_split_clause,[],[f19,f46]) ).
fof(f52,definition,
( spl7_2
<=> complement(b) = sF3 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f54,plain,
( complement(b) = sF3
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
spl7_2,
inference(avatar_split_clause,[],[f25,f52]) ).
fof(f58,definition,
( spl7_3
<=> meet(a,b) = sF4 ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f60,plain,
( meet(a,b) = sF4
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
spl7_3,
inference(avatar_split_clause,[],[f27,f58]) ).
fof(f65,definition,
( spl7_4
<=> n1 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f67,plain,
( n1 != sF6
| spl7_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
~ spl7_4,
inference(avatar_split_clause,[],[f32,f65]) ).
fof(f70,definition,
( spl7_5
<=> join(sF2,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f72,plain,
( join(sF2,sF5) = sF6
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl7_5,
inference(avatar_split_clause,[],[f31,f70]) ).
fof(f75,definition,
( spl7_6
<=> join(a,b) = sF1 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f77,plain,
( join(a,b) = sF1
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
spl7_6,
inference(avatar_split_clause,[],[f21,f75]) ).
fof(f83,definition,
( spl7_7
<=> meet(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f85,plain,
( meet(sF0,sF1) = sF2
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
spl7_7,
inference(avatar_split_clause,[],[f23,f83]) ).
fof(f91,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f44,f3]) ).
fof(f98,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f91,f6]) ).
fof(f99,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f104,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(n1,X1),
inference(superposition,[],[f8,f11]) ).
fof(f106,plain,
( ! [X0] : join(sF2,join(sF5,X0)) = join(sF6,X0)
| ~ spl7_5 ),
inference(superposition,[],[f8,f72]) ).
fof(f114,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f116,plain,
! [X0,X1] : join(n1,X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f104,f114]) ).
fof(f140,definition,
( spl7_8
<=> join(sF3,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f142,plain,
( join(sF3,sF4) = sF5
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
spl7_8,
inference(avatar_split_clause,[],[f29,f140]) ).
fof(f144,plain,
( ! [X0] : join(sF5,X0) = join(sF3,join(sF4,X0))
| ~ spl7_8 ),
inference(superposition,[],[f8,f142]) ).
fof(f156,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f42]) ).
fof(f166,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f10,f13]) ).
fof(f169,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(complement(X1),X0),
inference(superposition,[],[f10,f13]) ).
fof(f199,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),meet(complement(complement(X0)),complement(meet(X0,X1)))),
inference(superposition,[],[f15,f10]) ).
fof(f217,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f199,f9]) ).
fof(f222,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f217,f10]) ).
fof(f229,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(superposition,[],[f9,f13]) ).
fof(f304,plain,
! [X0,X1] : join(n1,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f8,f41]) ).
fof(f331,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,n1),
inference(superposition,[],[f99,f41]) ).
fof(f531,plain,
( ! [X0] : meet(b,complement(X0)) = complement(join(sF3,X0))
| ~ spl7_2 ),
inference(superposition,[],[f229,f54]) ).
fof(f707,plain,
( ! [X0] : join(a,complement(X0)) = complement(meet(sF0,X0))
| ~ spl7_1 ),
inference(superposition,[],[f166,f48]) ).
fof(f832,plain,
! [X0] : n1 = join(X0,n1),
inference(superposition,[],[f98,f41]) ).
fof(f840,plain,
( sF6 = join(sF2,sF6)
| ~ spl7_5 ),
inference(superposition,[],[f98,f72]) ).
fof(f841,plain,
( sF5 = join(sF3,sF5)
| ~ spl7_8 ),
inference(superposition,[],[f98,f142]) ).
fof(f865,plain,
! [X0,X1] : n1 = join(X0,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f331,f832]) ).
fof(f881,plain,
! [X0,X1] : n1 = join(complement(X0),complement(complement(join(X0,X1)))),
inference(superposition,[],[f865,f9]) ).
fof(f923,plain,
! [X0,X1] : n1 = complement(meet(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f881,f10]) ).
fof(f934,plain,
! [X0,X1] : n1 = join(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f923,f169]) ).
fof(f939,plain,
! [X0,X1] : n1 = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f934,f114]) ).
fof(f947,plain,
! [X1] : n1 = join(n1,X1),
inference(forward_demodulation,[],[f939,f116]) ).
fof(f951,plain,
! [X0,X1] : n1 = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f304,f947]) ).
fof(f2477,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,join(X2,X3))) = join(X2,join(X3,join(X0,X1))),
inference(superposition,[],[f8,f114]) ).
fof(f2754,definition,
( spl7_31
<=> sF5 = join(sF3,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_31])],[avatar_definition]) ).
fof(f2756,plain,
( sF5 = join(sF3,sF5)
| ~ spl7_31 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f2757,plain,
( spl7_31
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f841,f140,f2754]) ).
fof(f2872,plain,
( ! [X0] : join(sF6,X0) = join(sF2,join(X0,sF5))
| ~ spl7_5 ),
inference(superposition,[],[f106,f6]) ).
fof(f3411,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = complement(complement(meet(X0,X1))),
inference(superposition,[],[f13,f222]) ).
fof(f3433,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f3411,f13]) ).
fof(f3627,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f3433,f5]) ).
fof(f4342,plain,
( ! [X0] : complement(join(sF3,meet(sF0,X0))) = meet(b,join(a,complement(X0)))
| ~ spl7_1
| ~ spl7_2 ),
inference(superposition,[],[f531,f707]) ).
fof(f5802,definition,
( spl7_46
<=> sF6 = join(sF2,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_46])],[avatar_definition]) ).
fof(f5804,plain,
( sF6 = join(sF2,sF6)
| ~ spl7_46 ),
inference(avatar_component_clause,[],[f5802]) ).
fof(f5805,plain,
( spl7_46
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f840,f70,f5802]) ).
fof(f8858,plain,
( join(sF2,sF5) = join(sF6,sF3)
| ~ spl7_5
| ~ spl7_31 ),
inference(superposition,[],[f2872,f2756]) ).
fof(f8910,plain,
( join(sF2,sF5) = join(sF3,sF6)
| ~ spl7_5
| ~ spl7_31 ),
inference(forward_demodulation,[],[f8858,f6]) ).
fof(f8927,plain,
( sF6 = join(sF3,sF6)
| ~ spl7_5
| ~ spl7_31 ),
inference(forward_demodulation,[],[f8910,f72]) ).
fof(f8944,definition,
( spl7_58
<=> sF6 = join(sF3,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_58])],[avatar_definition]) ).
fof(f8946,plain,
( sF6 = join(sF3,sF6)
| ~ spl7_58 ),
inference(avatar_component_clause,[],[f8944]) ).
fof(f8947,plain,
( spl7_58
| ~ spl7_5
| ~ spl7_31 ),
inference(avatar_split_clause,[],[f8927,f2754,f70,f8944]) ).
fof(f8954,plain,
( ! [X0] : join(X0,sF6) = join(sF3,join(sF6,X0))
| ~ spl7_58 ),
inference(superposition,[],[f114,f8946]) ).
fof(f11784,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(join(X0,X1)),X0)) = X0,
inference(superposition,[],[f3627,f3]) ).
fof(f11958,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f11784,f6]) ).
fof(f12264,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f156,f11958]) ).
fof(f12451,plain,
( meet(b,a) = meet(b,join(a,complement(sF1)))
| ~ spl7_6 ),
inference(superposition,[],[f12264,f77]) ).
fof(f12640,plain,
( meet(b,a) = complement(join(sF3,meet(sF0,sF1)))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_6 ),
inference(forward_demodulation,[],[f12451,f4342]) ).
fof(f12730,plain,
( meet(b,a) = complement(join(sF3,sF2))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f12640,f85]) ).
fof(f12784,plain,
( meet(b,a) = complement(join(sF2,sF3))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f12730,f6]) ).
fof(f12821,plain,
( meet(a,b) = complement(join(sF2,sF3))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f12784,f5]) ).
fof(f12837,plain,
( sF4 = complement(join(sF2,sF3))
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_demodulation,[],[f12821,f60]) ).
fof(f12864,definition,
( spl7_67
<=> sF4 = complement(join(sF2,sF3)) ),
introduced(definition,[new_symbols(definition,[spl7_67])],[avatar_definition]) ).
fof(f12866,plain,
( sF4 = complement(join(sF2,sF3))
| ~ spl7_67 ),
inference(avatar_component_clause,[],[f12864]) ).
fof(f12867,plain,
( spl7_67
| ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f12837,f83,f75,f58,f52,f46,f12864]) ).
fof(f12897,plain,
( ! [X0] : n1 = join(join(sF2,sF3),join(sF4,X0))
| ~ spl7_67 ),
inference(superposition,[],[f951,f12866]) ).
fof(f12908,plain,
( ! [X0] : n1 = join(sF4,join(X0,join(sF2,sF3)))
| ~ spl7_67 ),
inference(forward_demodulation,[],[f12897,f114]) ).
fof(f12941,plain,
( ! [X0] : n1 = join(sF2,join(sF3,join(sF4,X0)))
| ~ spl7_67 ),
inference(forward_demodulation,[],[f12908,f2477]) ).
fof(f12962,plain,
( ! [X0] : n1 = join(sF2,join(sF5,X0))
| ~ spl7_8
| ~ spl7_67 ),
inference(forward_demodulation,[],[f12941,f144]) ).
fof(f12979,plain,
( ! [X0] : n1 = join(sF6,X0)
| ~ spl7_5
| ~ spl7_8
| ~ spl7_67 ),
inference(forward_demodulation,[],[f12962,f106]) ).
fof(f13018,plain,
( ! [X0] : join(sF3,n1) = join(X0,sF6)
| ~ spl7_5
| ~ spl7_8
| ~ spl7_58
| ~ spl7_67 ),
inference(backward_demodulation,[],[f8954,f12979]) ).
fof(f13060,plain,
( ! [X0] : n1 = join(X0,sF6)
| ~ spl7_5
| ~ spl7_8
| ~ spl7_58
| ~ spl7_67 ),
inference(forward_demodulation,[],[f13018,f832]) ).
fof(f13081,plain,
( n1 = sF6
| ~ spl7_5
| ~ spl7_8
| ~ spl7_46
| ~ spl7_58
| ~ spl7_67 ),
inference(backward_demodulation,[],[f5804,f13060]) ).
fof(f13094,plain,
( $false
| spl7_4
| ~ spl7_5
| ~ spl7_8
| ~ spl7_46
| ~ spl7_58
| ~ spl7_67 ),
inference(forward_subsumption_resolution,[],[f13081,f67]) ).
fof(f13095,plain,
( spl7_4
| ~ spl7_5
| ~ spl7_8
| ~ spl7_46
| ~ spl7_58
| ~ spl7_67 ),
inference(avatar_contradiction_clause,[],[f13094]) ).
cnf(s1,plain,
spl7_1,
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f61]) ).
cnf(s4,plain,
~ spl7_4,
inference(sat_conversion,[],[f68]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f78]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f143]) ).
cnf(s31,plain,
( ~ spl7_8
| spl7_31 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s46,plain,
( ~ spl7_5
| spl7_46 ),
inference(sat_conversion,[],[f5805]) ).
cnf(s58,plain,
( ~ spl7_5
| ~ spl7_31
| spl7_58 ),
inference(sat_conversion,[],[f8947]) ).
cnf(s67,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_6
| ~ spl7_7
| spl7_67 ),
inference(sat_conversion,[],[f12867]) ).
cnf(s79,plain,
( spl7_4
| ~ spl7_5
| ~ spl7_8
| ~ spl7_46
| ~ spl7_58
| ~ spl7_67 ),
inference(sat_conversion,[],[f13095]) ).
cnf(s82,plain,
spl7_31,
inference(rat,[],[s31,s8]) ).
cnf(s96,plain,
spl7_58,
inference(rat,[],[s58,s82,s5]) ).
cnf(s99,plain,
spl7_46,
inference(rat,[],[s46,s5]) ).
cnf(s100,plain,
~ spl7_67,
inference(rat,[],[s79,s99,s96,s5,s8,s4]) ).
cnf(s109,plain,
~ spl7_1,
inference(rat,[],[s67,s100,s7,s6,s3,s2]) ).
cnf(s123,plain,
$false,
inference(rat,[],[s1,s109]) ).
fof(f13096,plain,
$false,
inference(avatar_sat_refutation,[],[s123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT044-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 13:57:35 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 6.54/1.52 % (2401198)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.54/1.52 % (2401204)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=1311629826:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.54/1.52 % (2401207)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1860308939:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.54/1.52 % (2401206)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=256865324:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.54/1.52 % (2401205)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=605207274:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.54/1.52 % (2401203)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=2865757752:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.54/1.52 % (2401209)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3159856150:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.54/1.52 % (2401208)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1732197820:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.54/1.52 % (2401206)Instruction limit reached!
% 6.54/1.52 % (2401206)------------------------------
% 6.54/1.52 % (2401206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401206)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401206)Termination reason: Instruction limit
% 6.54/1.52 % (2401206)Termination phase: Saturation
% 6.54/1.52 % (2401206)Time elapsed: 0.042 s
% 6.54/1.52 % (2401206)Peak memory usage: 88 MB
% 6.54/1.52 % (2401206)Instructions burned: 138 (million)
% 6.54/1.52 % (2401207)Instruction limit reached!
% 6.54/1.52 % (2401207)------------------------------
% 6.54/1.52 % (2401207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401207)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401207)Termination reason: Instruction limit
% 6.54/1.52 % (2401207)Termination phase: Saturation
% 6.54/1.52 % (2401207)Time elapsed: 0.055 s
% 6.54/1.52 % (2401207)Peak memory usage: 89 MB
% 6.54/1.52 % (2401207)Instructions burned: 181 (million)
% 6.54/1.52 % (2401208)Instruction limit reached!
% 6.54/1.52 % (2401208)------------------------------
% 6.54/1.52 % (2401208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401208)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401208)Termination reason: Instruction limit
% 6.54/1.52 % (2401208)Termination phase: Saturation
% 6.54/1.52 % (2401208)Time elapsed: 0.085 s
% 6.54/1.52 % (2401208)Peak memory usage: 90 MB
% 6.54/1.52 % (2401208)Instructions burned: 260 (million)
% 6.54/1.52 % (2401217)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4070911778:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.54/1.52 % (2401218)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2312353808:i=4948:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/4948Mi)
% 6.54/1.52 % (2401219)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2247303694:i=215:ep=RSTC_2998 on theBenchmark for (2998ds/215Mi)
% 6.54/1.52 % (2401219)Instruction limit reached!
% 6.54/1.52 % (2401219)------------------------------
% 6.54/1.52 % (2401219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401219)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401219)Termination reason: Instruction limit
% 6.54/1.52 % (2401219)Termination phase: Saturation
% 6.54/1.52 % (2401219)Time elapsed: 0.056 s
% 6.54/1.52 % (2401219)Peak memory usage: 90 MB
% 6.54/1.52 % (2401219)Instructions burned: 216 (million)
% 6.54/1.52 % (2401223)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=3675239823:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2996 on theBenchmark for (2996ds/317Mi)
% 6.54/1.52 % (2401209)Instruction limit reached!
% 6.54/1.52 % (2401209)------------------------------
% 6.54/1.52 % (2401209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401209)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401209)Termination reason: Instruction limit
% 6.54/1.52 % (2401209)Termination phase: Saturation
% 6.54/1.52 % (2401209)Time elapsed: 0.348 s
% 6.54/1.52 % (2401209)Peak memory usage: 98 MB
% 6.54/1.52 % (2401209)Instructions burned: 1187 (million)
% 6.54/1.52 % (2401223)Instruction limit reached!
% 6.54/1.52 % (2401223)------------------------------
% 6.54/1.52 % (2401223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401223)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401223)Termination reason: Instruction limit
% 6.54/1.52 % (2401223)Termination phase: Saturation
% 6.54/1.52 % (2401223)Time elapsed: 0.109 s
% 6.54/1.52 % (2401223)Peak memory usage: 92 MB
% 6.54/1.52 % (2401223)Instructions burned: 317 (million)
% 6.54/1.52 % (2401225)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=2348109463:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/12125Mi)
% 6.54/1.52 % (2401226)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3330297734:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2994 on theBenchmark for (2994ds/2836Mi)
% 6.54/1.52 % (2401203)First to succeed.
% 6.54/1.52 % (2401203)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2401198"
% 6.54/1.52 % (2401217)Instruction limit reached!
% 6.54/1.52 % (2401217)------------------------------
% 6.54/1.52 % (2401217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.52 % (2401217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.52 % (2401217)CaDiCaL version: 2.1.3
% 6.54/1.52 % (2401217)Termination reason: Instruction limit
% 6.54/1.52 % (2401217)Termination phase: Saturation
% 6.54/1.52 % (2401217)Time elapsed: 0.733 s
% 6.54/1.52 % (2401217)Peak memory usage: 142 MB
% 6.54/1.52 % (2401217)Instructions burned: 2052 (million)
% 6.54/1.52 % (2401203)Refutation found. Thanks to Tanya!
% 6.54/1.52 % SZS status Unsatisfiable for theBenchmark
% 6.54/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 7.23/1.62 % (2401203)------------------------------
% 7.23/1.62 % (2401203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/1.62 % (2401203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/1.62 % (2401203)CaDiCaL version: 2.1.3
% 7.23/1.62 % (2401203)Termination reason: Refutation
% 7.23/1.62 % (2401203)Time elapsed: 0.742 s
% 7.23/1.62 % (2401203)Peak memory usage: 141 MB
% 7.23/1.62 % (2401203)Instructions burned: 2069 (million)
% 7.23/1.62 % (2401203)------------------------------
% 7.23/1.62 % (2401203)------------------------------
% 7.23/1.62 % (2401198)Success in time 0.998 s
% 7.23/1.62 % Vampire exiting
%------------------------------------------------------------------------------