%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ135_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:32:34 PM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 123 ( 27 unt; 0 typ; 7 def)
% Number of atoms : 355 ( 220 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 396 ( 164 ~; 201 |; 20 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
knowheyan: $tType ).
tff(type_def_6,type,
place: $tType ).
tff(type_def_7,type,
entry: $tType ).
tff(func_def_0,type,
entry_of: knowheyan > entry ).
tff(func_def_1,type,
place_of: knowheyan > place ).
tff(func_def_2,type,
a: knowheyan ).
tff(func_def_3,type,
b: knowheyan ).
tff(func_def_4,type,
c: knowheyan ).
tff(func_def_5,type,
d: knowheyan ).
tff(func_def_6,type,
collage_painting: entry ).
tff(func_def_7,type,
holography: entry ).
tff(func_def_8,type,
laser_etching: entry ).
tff(func_def_9,type,
reconstituted_materials_sculpture: entry ).
tff(func_def_10,type,
first: place ).
tff(func_def_11,type,
second: place ).
tff(func_def_12,type,
third: place ).
tff(func_def_13,type,
fourth: place ).
tff(f1,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f2,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f3,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
tff(f4,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(f5,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
tff(f6,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
tff(f19,axiom,
! [X0: knowheyan] :
( ( X0 = a )
| ( X0 = b )
| ( X0 = c )
| ( X0 = d ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_knowheyans) ).
tff(f20,axiom,
! [X0: entry] :
( ( X0 = collage_painting )
| ( X0 = holography )
| ( X0 = laser_etching )
| ( X0 = reconstituted_materials_sculpture ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).
tff(f21,axiom,
! [X0: place] :
( ( X0 = first )
| ( X0 = second )
| ( X0 = third )
| ( X0 = fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
tff(f22,axiom,
! [X0: knowheyan,X1: knowheyan] :
( ( X0 != X1 )
=> ( entry_of(X0) != entry_of(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_entrys) ).
tff(f24,axiom,
( ( place_of(a) != first )
& ( entry_of(a) != holography ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
tff(f26,axiom,
! [X0: knowheyan] :
( ( entry_of(X0) = collage_painting )
=> ( ( X0 != a )
& ( X0 != c )
& ( place_of(X0) != first )
& ( place_of(X0) != second ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).
tff(f27,axiom,
( ( place_of(b) != fourth )
& ! [X0: knowheyan] :
( ( entry_of(X0) = laser_etching )
=> ( place_of(X0) != fourth ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).
tff(f28,axiom,
( ( place_of(b) != third )
& ( place_of(c) != third ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
tff(f29,axiom,
( ( entry_of(b) != laser_etching )
& ! [X0: knowheyan] :
( ( entry_of(X0) = laser_etching )
=> ( ( X0 != a )
& ( place_of(X0) != second ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).
tff(f30,conjecture,
( ( entry_of(a) = reconstituted_materials_sculpture )
& ( entry_of(b) = holography )
& ( entry_of(c) = laser_etching )
& ( entry_of(d) = collage_painting ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',entries) ).
tff(f31,negated_conjecture,
~ ( ( entry_of(a) = reconstituted_materials_sculpture )
& ( entry_of(b) = holography )
& ( entry_of(c) = laser_etching )
& ( entry_of(d) = collage_painting ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
tff(f32,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( entry_of(X0) != entry_of(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f22]) ).
tff(f35,plain,
! [X0: knowheyan] :
( ( ( X0 != a )
& ( X0 != c )
& ( place_of(X0) != first )
& ( place_of(X0) != second ) )
| ( collage_painting != entry_of(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f36,plain,
( ( place_of(b) != fourth )
& ! [X0: knowheyan] :
( ( place_of(X0) != fourth )
| ( laser_etching != entry_of(X0) ) ) ),
inference(ennf_transformation,[],[f27]) ).
tff(f37,plain,
( ( entry_of(b) != laser_etching )
& ! [X0: knowheyan] :
( ( ( X0 != a )
& ( place_of(X0) != second ) )
| ( laser_etching != entry_of(X0) ) ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f38,plain,
( ( reconstituted_materials_sculpture != entry_of(a) )
| ( holography != entry_of(b) )
| ( laser_etching != entry_of(c) )
| ( collage_painting != entry_of(d) ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f39,plain,
a != b,
inference(cnf_transformation,[],[f1]) ).
tff(f40,plain,
a != c,
inference(cnf_transformation,[],[f2]) ).
tff(f41,plain,
a != d,
inference(cnf_transformation,[],[f3]) ).
tff(f42,plain,
b != c,
inference(cnf_transformation,[],[f4]) ).
tff(f43,plain,
b != d,
inference(cnf_transformation,[],[f5]) ).
tff(f44,plain,
c != d,
inference(cnf_transformation,[],[f6]) ).
tff(f57,plain,
! [X0: knowheyan] :
( ( d = X0 )
| ( c = X0 )
| ( b = X0 )
| ( a = X0 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f58,plain,
! [X0: entry] :
( ( reconstituted_materials_sculpture = X0 )
| ( laser_etching = X0 )
| ( holography = X0 )
| ( collage_painting = X0 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f59,plain,
! [X0: place] :
( ( third = X0 )
| ( fourth = X0 )
| ( second = X0 )
| ( first = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f60,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( entry_of(X0) != entry_of(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f62,plain,
holography != entry_of(a),
inference(cnf_transformation,[],[f24]) ).
tff(f66,plain,
! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( collage_painting != entry_of(X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f67,plain,
! [X0: knowheyan] :
( ( first != place_of(X0) )
| ( collage_painting != entry_of(X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f68,plain,
! [X0: knowheyan] :
( ( collage_painting != entry_of(X0) )
| ( c != X0 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f69,plain,
! [X0: knowheyan] :
( ( collage_painting != entry_of(X0) )
| ( a != X0 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f71,plain,
fourth != place_of(b),
inference(cnf_transformation,[],[f36]) ).
tff(f73,plain,
third != place_of(b),
inference(cnf_transformation,[],[f28]) ).
tff(f75,plain,
! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( a != X0 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f76,plain,
laser_etching != entry_of(b),
inference(cnf_transformation,[],[f37]) ).
tff(f77,plain,
( ( collage_painting != entry_of(d) )
| ( laser_etching != entry_of(c) )
| ( holography != entry_of(b) )
| ( reconstituted_materials_sculpture != entry_of(a) ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f78,plain,
collage_painting != entry_of(a),
inference(equality_resolution,[],[f69]) ).
tff(f79,plain,
collage_painting != entry_of(c),
inference(equality_resolution,[],[f68]) ).
tff(f80,plain,
laser_etching != entry_of(a),
inference(equality_resolution,[],[f75]) ).
tff(f82,definition,
( spl0_1
<=> ( reconstituted_materials_sculpture = entry_of(a) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f83,plain,
( ( reconstituted_materials_sculpture = entry_of(a) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f84,plain,
( ( reconstituted_materials_sculpture != entry_of(a) )
| spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f86,definition,
( spl0_2
<=> ( holography = entry_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f87,plain,
( ( holography = entry_of(b) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f88,plain,
( ( holography != entry_of(b) )
| spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f90,definition,
( spl0_3
<=> ( laser_etching = entry_of(c) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f91,plain,
( ( laser_etching = entry_of(c) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f90]) ).
tff(f92,plain,
( ( laser_etching != entry_of(c) )
| spl0_3 ),
inference(avatar_component_clause,[],[f90]) ).
tff(f94,definition,
( spl0_4
<=> ( collage_painting = entry_of(d) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f96,plain,
( ( collage_painting != entry_of(d) )
| spl0_4 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f97,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f77,f94,f90,f86,f82]) ).
tff(f116,plain,
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( laser_etching = entry_of(a) )
| ( holography = entry_of(a) )
| ( collage_painting = entry_of(a) )
| spl0_1 ),
inference(superposition,[],[f84,f58]) ).
tff(f122,plain,
( ( laser_etching = entry_of(a) )
| ( holography = entry_of(a) )
| ( collage_painting = entry_of(a) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f116]) ).
tff(f123,plain,
( ( holography = entry_of(a) )
| ( collage_painting = entry_of(a) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f122,f80]) ).
tff(f124,plain,
( ( collage_painting = entry_of(a) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f123,f62]) ).
tff(f125,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f124,f78]) ).
tff(f126,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f125]) ).
tff(f130,plain,
( ! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != entry_of(X0) )
| ( a = X0 ) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f83]) ).
tff(f133,plain,
( ! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( a = X0 )
| ( laser_etching = entry_of(X0) )
| ( holography = entry_of(X0) )
| ( collage_painting = entry_of(X0) ) )
| ~ spl0_1 ),
inference(superposition,[],[f130,f58]) ).
tff(f134,plain,
( ! [X0: knowheyan] :
( ( holography = entry_of(X0) )
| ( laser_etching = entry_of(X0) )
| ( a = X0 )
| ( collage_painting = entry_of(X0) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f133]) ).
tff(f148,plain,
( ( third != third )
| ( fourth = place_of(b) )
| ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(superposition,[],[f73,f59]) ).
tff(f155,plain,
( ( fourth = place_of(b) )
| ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
tff(f169,plain,
( ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(forward_subsumption_resolution,[],[f155,f71]) ).
tff(f171,definition,
( spl0_8
<=> ( first = place_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f173,plain,
( ( first = place_of(b) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f175,definition,
( spl0_9
<=> ( second = place_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f177,plain,
( ( second = place_of(b) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f178,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f169,f175,f171]) ).
tff(f181,plain,
( ! [X0: knowheyan,X1: knowheyan] :
( ( holography != entry_of(X0) )
| ( X0 = X1 )
| ( laser_etching = entry_of(X1) )
| ( a = X1 )
| ( collage_painting = entry_of(X1) ) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f134]) ).
tff(f183,plain,
( ( holography != holography )
| ( laser_etching = entry_of(b) )
| ( a = b )
| ( collage_painting = entry_of(b) )
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f88,f134]) ).
tff(f188,plain,
( ( laser_etching = entry_of(b) )
| ( a = b )
| ( collage_painting = entry_of(b) )
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f183]) ).
tff(f190,plain,
( ( a = b )
| ( collage_painting = entry_of(b) )
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f188,f76]) ).
tff(f191,plain,
( ( collage_painting = entry_of(b) )
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f190,f39]) ).
tff(f211,plain,
( ( first != first )
| ( collage_painting != entry_of(b) )
| ~ spl0_8 ),
inference(superposition,[],[f67,f173]) ).
tff(f214,plain,
( ( collage_painting != entry_of(b) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f211]) ).
tff(f730,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f214,f191]) ).
tff(f731,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f730]) ).
tff(f751,plain,
( ( second != second )
| ( collage_painting != entry_of(b) )
| ~ spl0_9 ),
inference(superposition,[],[f66,f177]) ).
tff(f757,plain,
( ( collage_painting != entry_of(b) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f751]) ).
tff(f760,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f757,f191]) ).
tff(f761,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f760]) ).
tff(f769,definition,
( spl0_15
<=> ! [X0: knowheyan] :
( ( b = X0 )
| ( a = X0 )
| ( collage_painting = entry_of(X0) )
| ( laser_etching = entry_of(X0) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
tff(f770,plain,
( ! [X0: knowheyan] :
( ( laser_etching = entry_of(X0) )
| ( a = X0 )
| ( collage_painting = entry_of(X0) )
| ( b = X0 ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f769]) ).
tff(f784,plain,
( ! [X0: knowheyan] :
( ( holography != holography )
| ( b = X0 )
| ( laser_etching = entry_of(X0) )
| ( a = X0 )
| ( collage_painting = entry_of(X0) ) )
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f181,f87]) ).
tff(f789,plain,
( ! [X0: knowheyan] :
( ( b = X0 )
| ( laser_etching = entry_of(X0) )
| ( a = X0 )
| ( collage_painting = entry_of(X0) ) )
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f784]) ).
tff(f794,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f789,f86,f82,f769]) ).
tff(f851,plain,
( ( laser_etching != laser_etching )
| ( a = c )
| ( collage_painting = entry_of(c) )
| ( b = c )
| spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f92,f770]) ).
tff(f854,plain,
( ( a = c )
| ( collage_painting = entry_of(c) )
| ( b = c )
| spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f851]) ).
tff(f862,plain,
( ( collage_painting = entry_of(c) )
| ( b = c )
| spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f854,f40]) ).
tff(f865,plain,
( ( b = c )
| spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f862,f79]) ).
tff(f866,plain,
( $false
| spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f865,f42]) ).
tff(f867,plain,
( spl0_3
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f866]) ).
tff(f878,plain,
( ! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( c = X0 ) )
| ~ spl0_3 ),
inference(superposition,[],[f60,f91]) ).
tff(f889,plain,
( ! [X0: knowheyan] :
( ( collage_painting != entry_of(X0) )
| ( c = X0 )
| ( b = X0 )
| ( a = X0 ) )
| spl0_4 ),
inference(superposition,[],[f96,f57]) ).
tff(f910,plain,
( ! [X0: knowheyan] :
( ( laser_etching != laser_etching )
| ( c = X0 )
| ( a = X0 )
| ( collage_painting = entry_of(X0) )
| ( b = X0 ) )
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f878,f770]) ).
tff(f925,plain,
( ! [X0: knowheyan] :
( ( c = X0 )
| ( a = X0 )
| ( collage_painting = entry_of(X0) )
| ( b = X0 ) )
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f910]) ).
tff(f940,plain,
( ! [X0: knowheyan] :
( ( c = X0 )
| ( a = X0 )
| ( b = X0 ) )
| ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f925,f889]) ).
tff(f954,plain,
( ( c != c )
| ( a = d )
| ( b = d )
| ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f44,f940]) ).
tff(f959,plain,
( ( a = d )
| ( b = d )
| ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f954]) ).
tff(f961,plain,
( ( b = d )
| ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f959,f41]) ).
tff(f962,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f961,f43]) ).
tff(f963,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f962]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f97]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f126]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f178]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f731]) ).
cnf(s13,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_9 ),
inference(sat_conversion,[],[f761]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f794]) ).
cnf(s22,plain,
( spl0_3
| ~ spl0_15 ),
inference(sat_conversion,[],[f867]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f963]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1,s2]) ).
cnf(s26,plain,
spl0_2,
inference(rat,[],[s4,s10,s13,s2]) ).
cnf(s27,plain,
spl0_15,
inference(rat,[],[s16,s2,s26]) ).
cnf(s28,plain,
spl0_3,
inference(rat,[],[s22,s27]) ).
cnf(s29,plain,
spl0_4,
inference(rat,[],[s23,s27,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s25,s26,s29,s28]) ).
tff(f964,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ135_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 22:40:36 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50 % (3020698)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (3020703)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=11257787_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % Detected minimum model sizes of [4,4,4]
% 0.16/0.50 % Detected maximum model sizes of [4,4,4]
% 0.16/0.50 % TRYING [4,4,4]
% 0.16/0.50 % (3020704)% WARNING: option uhcvi not known.
% 0.16/0.50 % (3020703)Cannot enumerate next child to try in an incomplete setup
% 0.16/0.50 % (3020703)Refutation not found, incomplete strategy
% 0.16/0.50 % (3020703)------------------------------
% 0.16/0.50 % (3020703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3020703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3020703)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3020703)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.50 % (3020703)Time elapsed: 0.003 s
% 0.16/0.50 % (3020703)Peak memory usage: 11 MB
% 0.16/0.50 % (3020703)Instructions burned: 5 (million)
% 0.16/0.50 % (3020703)------------------------------
% 0.16/0.50 % (3020703)------------------------------
% 0.16/0.50 % (3020704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1621716077:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (3020705)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4221202879:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (3020706)dis+10_1_sil=32000:sp=arity:random_seed=3317102035:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (3020709)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1011657538:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % (3020707)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1047521444:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (3020708)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2611209989:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (3020704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3020698-3020704"...
% 0.16/0.50 % (3020704)...printing done.
% 0.16/0.50 % (3020704)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (3020704)------------------------------
% 0.16/0.50 % (3020704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (3020704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (3020704)CaDiCaL version: 2.1.3
% 0.16/0.50 % (3020704)Termination reason: Refutation
% 0.16/0.50 % (3020704)Time elapsed: 0.038 s
% 0.16/0.50 % (3020704)Peak memory usage: 13 MB
% 0.16/0.50 % (3020704)Instructions burned: 49 (million)
% 0.16/0.50 % (3020698)Success in time 0.074 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------