%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT005-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:45:47 AM UTC 2026
% Result : Unsatisfiable 14.34s 3.17s
% Output : Refutation 16.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of formulae : 153 ( 64 unt; 20 def)
% Number of atoms : 296 ( 111 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 275 ( 132 ~; 128 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f7,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f8,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f9,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f10,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(f14,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).
fof(f18,axiom,
! [X2,X0,X1] : ifeq3(meet(X0,X1),X0,meet(X1,join(X0,X2)),join(X0,meet(X2,X1))) = join(X0,meet(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = ifeq3(meet(X0,X1),X0,meet(X1,join(X0,X2)),join(X0,meet(X2,X1))),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0,X1] : ifeq(complement(X0,X1),true,meet(X0,X1),n0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f21,plain,
! [X0,X1] : n0 = ifeq(complement(X0,X1),true,meet(X0,X1),n0),
inference(reorient_equations,[],[f20]) ).
fof(f26,axiom,
complement(r1,join(a,b)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_join_b) ).
fof(f27,plain,
true = complement(r1,join(a,b)),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
complement(r2,meet(a,b)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_meet_b) ).
fof(f29,plain,
true = complement(r2,meet(a,b)),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lemma) ).
fof(f31,definition,
sF0 = meet(r2,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
meet(r2,b) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF1 = join(r1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
join(r1,sF0) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = meet(r2,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
meet(r2,a) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = join(r1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
join(r1,sF2) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = meet(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
meet(sF1,sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
r1 != sF4,
inference(definition_folding,[],[f30,f40,f38,f36,f34,f32]) ).
fof(f42,plain,
sF0 = meet(b,r2),
inference(forward_demodulation,[],[f32,f8]) ).
fof(f43,plain,
sF1 = join(sF0,r1),
inference(forward_demodulation,[],[f34,f9]) ).
fof(f44,plain,
sF2 = meet(a,r2),
inference(forward_demodulation,[],[f36,f8]) ).
fof(f45,plain,
sF3 = join(sF2,r1),
inference(forward_demodulation,[],[f38,f9]) ).
fof(f51,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f6,f9]) ).
fof(f53,definition,
( spl5_1
<=> sF3 = join(sF2,r1) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f55,plain,
( sF3 = join(sF2,r1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
spl5_1,
inference(avatar_split_clause,[],[f45,f53]) ).
fof(f59,definition,
( spl5_2
<=> sF1 = join(sF0,r1) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f61,plain,
( sF1 = join(sF0,r1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
spl5_2,
inference(avatar_split_clause,[],[f43,f59]) ).
fof(f65,definition,
( spl5_3
<=> r1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f67,plain,
( r1 != sF4
| spl5_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f68,plain,
~ spl5_3,
inference(avatar_split_clause,[],[f41,f65]) ).
fof(f70,definition,
( spl5_4
<=> sF2 = meet(a,r2) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f72,plain,
( sF2 = meet(a,r2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl5_4,
inference(avatar_split_clause,[],[f44,f70]) ).
fof(f77,definition,
( spl5_5
<=> sF0 = meet(b,r2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f79,plain,
( sF0 = meet(b,r2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
spl5_5,
inference(avatar_split_clause,[],[f42,f77]) ).
fof(f84,definition,
( spl5_6
<=> true = complement(r1,join(a,b)) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f86,plain,
( true = complement(r1,join(a,b))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
spl5_6,
inference(avatar_split_clause,[],[f27,f84]) ).
fof(f89,definition,
( spl5_7
<=> true = complement(r2,meet(a,b)) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f91,plain,
( true = complement(r2,meet(a,b))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
spl5_7,
inference(avatar_split_clause,[],[f29,f89]) ).
fof(f94,definition,
( spl5_8
<=> meet(sF1,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f96,plain,
( meet(sF1,sF3) = sF4
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
spl5_8,
inference(avatar_split_clause,[],[f40,f94]) ).
fof(f108,plain,
( r1 = meet(r1,sF3)
| ~ spl5_1 ),
inference(superposition,[],[f51,f55]) ).
fof(f112,plain,
( r1 = meet(sF3,r1)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f108,f8]) ).
fof(f140,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f10,f6]) ).
fof(f141,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f10,f51]) ).
fof(f146,plain,
( ! [X0] : meet(a,meet(r2,X0)) = meet(sF2,X0)
| ~ spl5_4 ),
inference(superposition,[],[f10,f72]) ).
fof(f147,plain,
( ! [X0] : meet(b,meet(r2,X0)) = meet(sF0,X0)
| ~ spl5_5 ),
inference(superposition,[],[f10,f79]) ).
fof(f157,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f8,f10]) ).
fof(f158,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f7,f10]) ).
fof(f218,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = ifeq3(meet(X1,X2),X1,meet(X2,join(X0,X1)),join(X1,meet(X0,X2))),
inference(superposition,[],[f19,f9]) ).
fof(f223,plain,
( ! [X0] : join(sF2,meet(r1,X0)) = ifeq3(meet(sF2,X0),sF2,meet(X0,sF3),join(sF2,meet(r1,X0)))
| ~ spl5_1 ),
inference(superposition,[],[f19,f55]) ).
fof(f279,plain,
( n0 = ifeq(true,true,meet(r1,join(a,b)),n0)
| ~ spl5_6 ),
inference(superposition,[],[f21,f86]) ).
fof(f280,plain,
( n0 = ifeq(true,true,meet(r2,meet(a,b)),n0)
| ~ spl5_7 ),
inference(superposition,[],[f21,f91]) ).
fof(f291,plain,
( n0 = meet(r2,meet(a,b))
| ~ spl5_7 ),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f292,plain,
( n0 = meet(r1,join(a,b))
| ~ spl5_6 ),
inference(forward_demodulation,[],[f279,f3]) ).
fof(f293,plain,
( n0 = meet(b,meet(r2,a))
| ~ spl5_7 ),
inference(forward_demodulation,[],[f291,f157]) ).
fof(f294,plain,
( n0 = meet(a,meet(b,r2))
| ~ spl5_7 ),
inference(forward_demodulation,[],[f293,f157]) ).
fof(f295,plain,
( n0 = meet(a,sF0)
| ~ spl5_5
| ~ spl5_7 ),
inference(forward_demodulation,[],[f294,f79]) ).
fof(f296,plain,
( n0 = meet(sF0,a)
| ~ spl5_5
| ~ spl5_7 ),
inference(forward_demodulation,[],[f295,f8]) ).
fof(f298,definition,
( spl5_9
<=> n0 = meet(r1,join(a,b)) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f300,plain,
( n0 = meet(r1,join(a,b))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl5_9
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f292,f84,f298]) ).
fof(f393,plain,
( ! [X0] : meet(sF2,X0) = meet(a,meet(X0,r2))
| ~ spl5_4 ),
inference(superposition,[],[f146,f8]) ).
fof(f471,plain,
( ! [X0] : meet(sF0,X0) = meet(b,meet(X0,r2))
| ~ spl5_5 ),
inference(superposition,[],[f147,f8]) ).
fof(f609,definition,
( spl5_12
<=> n0 = meet(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f611,plain,
( n0 = meet(sF0,a)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( spl5_12
| ~ spl5_5
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f296,f89,f77,f609]) ).
fof(f1309,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f141,f8]) ).
fof(f2099,plain,
( join(sF2,n0) = ifeq3(meet(sF2,join(a,b)),sF2,meet(join(a,b),sF3),join(sF2,n0))
| ~ spl5_1
| ~ spl5_9 ),
inference(superposition,[],[f223,f300]) ).
fof(f2122,plain,
( sF2 = ifeq3(meet(sF2,join(a,b)),sF2,meet(join(a,b),sF3),sF2)
| ~ spl5_1
| ~ spl5_9 ),
inference(forward_demodulation,[],[f2099,f14]) ).
fof(f2145,plain,
( sF2 = ifeq3(meet(sF2,join(a,b)),sF2,meet(sF3,join(a,b)),sF2)
| ~ spl5_1
| ~ spl5_9 ),
inference(forward_demodulation,[],[f2122,f8]) ).
fof(f2762,plain,
( ! [X0] : meet(X0,b) = join(meet(X0,b),meet(X0,sF0))
| ~ spl5_5 ),
inference(superposition,[],[f158,f79]) ).
fof(f2831,plain,
( ! [X0] : meet(X0,b) = join(meet(X0,sF0),meet(X0,b))
| ~ spl5_5 ),
inference(forward_demodulation,[],[f2762,f9]) ).
fof(f3062,plain,
( meet(sF0,a) = meet(b,sF2)
| ~ spl5_4
| ~ spl5_5 ),
inference(superposition,[],[f471,f72]) ).
fof(f3111,plain,
( meet(sF0,a) = meet(sF2,b)
| ~ spl5_4
| ~ spl5_5 ),
inference(forward_demodulation,[],[f3062,f8]) ).
fof(f3125,plain,
( n0 = meet(sF2,b)
| ~ spl5_4
| ~ spl5_5
| ~ spl5_12 ),
inference(forward_demodulation,[],[f3111,f611]) ).
fof(f3135,definition,
( spl5_23
<=> n0 = meet(sF2,b) ),
introduced(definition,[new_symbols(definition,[spl5_23])],[avatar_definition]) ).
fof(f3137,plain,
( n0 = meet(sF2,b)
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f3135]) ).
fof(f3138,plain,
( spl5_23
| ~ spl5_4
| ~ spl5_5
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f3125,f609,f77,f70,f3135]) ).
fof(f3320,plain,
( ! [X0] : meet(a,r2) = meet(sF2,join(a,X0))
| ~ spl5_4 ),
inference(superposition,[],[f140,f393]) ).
fof(f3358,plain,
( ! [X0] : sF2 = meet(sF2,join(a,X0))
| ~ spl5_4 ),
inference(forward_demodulation,[],[f3320,f72]) ).
fof(f3375,plain,
( sF2 = ifeq3(sF2,sF2,meet(sF3,join(a,b)),sF2)
| ~ spl5_1
| ~ spl5_4
| ~ spl5_9 ),
inference(backward_demodulation,[],[f2145,f3358]) ).
fof(f3381,plain,
( sF2 = meet(sF3,join(a,b))
| ~ spl5_1
| ~ spl5_4
| ~ spl5_9 ),
inference(forward_demodulation,[],[f3375,f1]) ).
fof(f3385,definition,
( spl5_25
<=> sF2 = meet(sF3,join(a,b)) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f3387,plain,
( sF2 = meet(sF3,join(a,b))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3388,plain,
( spl5_25
| ~ spl5_1
| ~ spl5_4
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f3381,f298,f70,f53,f3385]) ).
fof(f3483,plain,
( ! [X0] : join(r1,meet(sF0,X0)) = ifeq3(meet(r1,X0),r1,meet(X0,sF1),join(r1,meet(sF0,X0)))
| ~ spl5_2 ),
inference(superposition,[],[f218,f61]) ).
fof(f6123,definition,
( spl5_33
<=> r1 = meet(sF3,r1) ),
introduced(definition,[new_symbols(definition,[spl5_33])],[avatar_definition]) ).
fof(f6125,plain,
( r1 = meet(sF3,r1)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f6123]) ).
fof(f6126,plain,
( spl5_33
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f112,f53,f6123]) ).
fof(f9832,plain,
( meet(b,sF2) = meet(b,sF3)
| ~ spl5_25 ),
inference(superposition,[],[f1309,f3387]) ).
fof(f9979,plain,
( meet(b,sF2) = meet(sF3,b)
| ~ spl5_25 ),
inference(forward_demodulation,[],[f9832,f8]) ).
fof(f10038,plain,
( meet(sF2,b) = meet(sF3,b)
| ~ spl5_25 ),
inference(forward_demodulation,[],[f9979,f8]) ).
fof(f10060,plain,
( n0 = meet(sF3,b)
| ~ spl5_23
| ~ spl5_25 ),
inference(forward_demodulation,[],[f10038,f3137]) ).
fof(f10224,definition,
( spl5_50
<=> n0 = meet(sF3,b) ),
introduced(definition,[new_symbols(definition,[spl5_50])],[avatar_definition]) ).
fof(f10226,plain,
( n0 = meet(sF3,b)
| ~ spl5_50 ),
inference(avatar_component_clause,[],[f10224]) ).
fof(f10227,plain,
( spl5_50
| ~ spl5_23
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f10060,f3385,f3135,f10224]) ).
fof(f14103,plain,
( n0 = join(meet(sF3,sF0),n0)
| ~ spl5_5
| ~ spl5_50 ),
inference(superposition,[],[f2831,f10226]) ).
fof(f14173,plain,
( n0 = meet(sF3,sF0)
| ~ spl5_5
| ~ spl5_50 ),
inference(forward_demodulation,[],[f14103,f14]) ).
fof(f14205,plain,
( n0 = meet(sF0,sF3)
| ~ spl5_5
| ~ spl5_50 ),
inference(forward_demodulation,[],[f14173,f8]) ).
fof(f14369,definition,
( spl5_76
<=> n0 = meet(sF0,sF3) ),
introduced(definition,[new_symbols(definition,[spl5_76])],[avatar_definition]) ).
fof(f14371,plain,
( n0 = meet(sF0,sF3)
| ~ spl5_76 ),
inference(avatar_component_clause,[],[f14369]) ).
fof(f14372,plain,
( spl5_76
| ~ spl5_5
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f14205,f10224,f77,f14369]) ).
fof(f16311,plain,
( join(r1,n0) = ifeq3(meet(r1,sF3),r1,meet(sF3,sF1),join(r1,n0))
| ~ spl5_2
| ~ spl5_76 ),
inference(superposition,[],[f3483,f14371]) ).
fof(f16348,plain,
( r1 = ifeq3(meet(r1,sF3),r1,meet(sF3,sF1),r1)
| ~ spl5_2
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16311,f14]) ).
fof(f16387,plain,
( r1 = ifeq3(meet(r1,sF3),r1,meet(sF1,sF3),r1)
| ~ spl5_2
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16348,f8]) ).
fof(f16418,plain,
( r1 = ifeq3(meet(r1,sF3),r1,sF4,r1)
| ~ spl5_2
| ~ spl5_8
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16387,f96]) ).
fof(f16444,plain,
( r1 = ifeq3(meet(sF3,r1),r1,sF4,r1)
| ~ spl5_2
| ~ spl5_8
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16418,f8]) ).
fof(f16461,plain,
( r1 = ifeq3(r1,r1,sF4,r1)
| ~ spl5_2
| ~ spl5_8
| ~ spl5_33
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16444,f6125]) ).
fof(f16470,plain,
( r1 = sF4
| ~ spl5_2
| ~ spl5_8
| ~ spl5_33
| ~ spl5_76 ),
inference(forward_demodulation,[],[f16461,f1]) ).
fof(f16474,plain,
( $false
| ~ spl5_2
| spl5_3
| ~ spl5_8
| ~ spl5_33
| ~ spl5_76 ),
inference(forward_subsumption_resolution,[],[f16470,f67]) ).
fof(f16475,plain,
( ~ spl5_2
| spl5_3
| ~ spl5_8
| ~ spl5_33
| ~ spl5_76 ),
inference(avatar_contradiction_clause,[],[f16474]) ).
cnf(s1,plain,
spl5_1,
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
~ spl5_3,
inference(sat_conversion,[],[f68]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f73]) ).
cnf(s5,plain,
spl5_5,
inference(sat_conversion,[],[f80]) ).
cnf(s6,plain,
spl5_6,
inference(sat_conversion,[],[f87]) ).
cnf(s7,plain,
spl5_7,
inference(sat_conversion,[],[f92]) ).
cnf(s8,plain,
spl5_8,
inference(sat_conversion,[],[f97]) ).
cnf(s9,plain,
( ~ spl5_6
| spl5_9 ),
inference(sat_conversion,[],[f301]) ).
cnf(s12,plain,
( ~ spl5_5
| ~ spl5_7
| spl5_12 ),
inference(sat_conversion,[],[f612]) ).
cnf(s23,plain,
( ~ spl5_4
| ~ spl5_5
| ~ spl5_12
| spl5_23 ),
inference(sat_conversion,[],[f3138]) ).
cnf(s25,plain,
( ~ spl5_1
| ~ spl5_4
| ~ spl5_9
| spl5_25 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s33,plain,
( ~ spl5_1
| spl5_33 ),
inference(sat_conversion,[],[f6126]) ).
cnf(s50,plain,
( ~ spl5_23
| ~ spl5_25
| spl5_50 ),
inference(sat_conversion,[],[f10227]) ).
cnf(s76,plain,
( ~ spl5_5
| ~ spl5_50
| spl5_76 ),
inference(sat_conversion,[],[f14372]) ).
cnf(s83,plain,
( ~ spl5_2
| spl5_3
| ~ spl5_8
| ~ spl5_33
| ~ spl5_76 ),
inference(sat_conversion,[],[f16475]) ).
cnf(s92,plain,
spl5_9,
inference(rat,[],[s9,s6]) ).
cnf(s102,plain,
spl5_12,
inference(rat,[],[s12,s7,s5]) ).
cnf(s112,plain,
spl5_23,
inference(rat,[],[s23,s102,s5,s4]) ).
cnf(s136,plain,
spl5_33,
inference(rat,[],[s33,s1]) ).
cnf(s137,plain,
spl5_25,
inference(rat,[],[s25,s4,s92,s1]) ).
cnf(s143,plain,
~ spl5_76,
inference(rat,[],[s83,s2,s3,s8,s136]) ).
cnf(s145,plain,
spl5_50,
inference(rat,[],[s50,s112,s137]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s76,s5,s143,s145]) ).
fof(f16476,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:57:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 14.34/3.17 % (542987)Detected a unit-equality problem, will run specialized UEQ schedule.
% 14.34/3.17 % (542996)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=984877669:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 14.34/3.17 % (542993)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=2584071361:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 14.34/3.17 % (542992)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=3620102617:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 14.34/3.17 % (542995)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3981693999:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 14.34/3.17 % (542994)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1636294139:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 14.34/3.17 % (542998)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=368073081:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 14.34/3.17 % (542997)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=754484269:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 14.34/3.17 % (542996)Instruction limit reached!
% 14.34/3.17 % (542996)------------------------------
% 14.34/3.17 % (542996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (542996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (542996)CaDiCaL version: 2.1.3
% 14.34/3.17 % (542996)Termination reason: Instruction limit
% 14.34/3.17 % (542996)Termination phase: Saturation
% 14.34/3.17 % (542996)Time elapsed: 0.057 s
% 14.34/3.17 % (542996)Peak memory usage: 90 MB
% 14.34/3.17 % (542996)Instructions burned: 181 (million)
% 14.34/3.17 % (542995)Instruction limit reached!
% 14.34/3.17 % (542995)------------------------------
% 14.34/3.17 % (542995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (542995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (542995)CaDiCaL version: 2.1.3
% 14.34/3.17 % (542995)Termination reason: Instruction limit
% 14.34/3.17 % (542995)Termination phase: Saturation
% 14.34/3.17 % (542995)Time elapsed: 0.085 s
% 14.34/3.17 % (542995)Peak memory usage: 89 MB
% 14.34/3.17 % (542995)Instructions burned: 136 (million)
% 14.34/3.17 % (543006)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=531886090:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 14.34/3.17 % (542997)Instruction limit reached!
% 14.34/3.17 % (542997)------------------------------
% 14.34/3.17 % (542997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (542997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (542997)CaDiCaL version: 2.1.3
% 14.34/3.17 % (542997)Termination reason: Instruction limit
% 14.34/3.17 % (542997)Termination phase: Saturation
% 14.34/3.17 % (542997)Time elapsed: 0.164 s
% 14.34/3.17 % (542997)Peak memory usage: 90 MB
% 14.34/3.17 % (542997)Instructions burned: 258 (million)
% 14.34/3.17 % (543007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2572538751:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 14.34/3.17 % (543009)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1868391707:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 14.34/3.17 % (543009)Instruction limit reached!
% 14.34/3.17 % (543009)------------------------------
% 14.34/3.17 % (543009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (543009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (543009)CaDiCaL version: 2.1.3
% 14.34/3.17 % (543009)Termination reason: Instruction limit
% 14.34/3.17 % (543009)Termination phase: Saturation
% 14.34/3.17 % (543009)Time elapsed: 0.108 s
% 14.34/3.17 % (543009)Peak memory usage: 93 MB
% 14.34/3.17 % (543009)Instructions burned: 217 (million)
% 14.34/3.17 % (543012)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=3212722025: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)
% 14.34/3.17 % (542998)Instruction limit reached!
% 14.34/3.17 % (542998)------------------------------
% 14.34/3.17 % (542998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (542998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (542998)CaDiCaL version: 2.1.3
% 14.34/3.17 % (542998)Termination reason: Instruction limit
% 14.34/3.17 % (542998)Termination phase: Saturation
% 14.34/3.17 % (542998)Time elapsed: 0.614 s
% 14.34/3.17 % (542998)Peak memory usage: 100 MB
% 14.34/3.17 % (542998)Instructions burned: 1188 (million)
% 14.34/3.17 % (543014)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=1158028121:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 14.34/3.17 % (543012)Instruction limit reached!
% 14.34/3.17 % (543012)------------------------------
% 14.34/3.17 % (543012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (543012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (543012)CaDiCaL version: 2.1.3
% 14.34/3.17 % (543012)Termination reason: Instruction limit
% 14.34/3.17 % (543012)Termination phase: Saturation
% 14.34/3.17 % (543012)Time elapsed: 0.197 s
% 14.34/3.17 % (543012)Peak memory usage: 94 MB
% 14.34/3.17 % (543012)Instructions burned: 318 (million)
% 14.34/3.17 % (543006)Instruction limit reached!
% 14.34/3.17 % (543006)------------------------------
% 14.34/3.17 % (543006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.34/3.17 % (543006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.34/3.17 % (543006)CaDiCaL version: 2.1.3
% 14.34/3.17 % (543006)Termination reason: Instruction limit
% 14.34/3.17 % (543006)Termination phase: Saturation
% 14.34/3.17 % (543006)Time elapsed: 0.750 s
% 14.34/3.17 % (543006)Peak memory usage: 141 MB
% 14.34/3.17 % (543006)Instructions burned: 2051 (million)
% 14.34/3.17 % (543016)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=666944085:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 14.34/3.17 % (543017)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=278162099:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 14.34/3.17 % (542992)First to succeed.
% 14.34/3.17 % (542992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-542987"
% 14.34/3.17 % (542992)Refutation found. Thanks to Tanya!
% 14.34/3.17 % SZS status Unsatisfiable for theBenchmark
% 14.34/3.17 % SZS output start Proof for theBenchmark
% See solution above
% 16.91/3.26 % (542992)------------------------------
% 16.91/3.26 % (542992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.26 % (542992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.26 % (542992)CaDiCaL version: 2.1.3
% 16.91/3.26 % (542992)Termination reason: Refutation
% 16.91/3.26 % (542992)Time elapsed: 1.891 s
% 16.91/3.26 % (542992)Peak memory usage: 151 MB
% 16.91/3.26 % (542992)Instructions burned: 3004 (million)
% 16.91/3.26 % (542992)------------------------------
% 16.91/3.26 % (542992)------------------------------
% 16.91/3.26 % (542987)Success in time 2.32 s
% 16.91/3.26 % Vampire exiting
%------------------------------------------------------------------------------