%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:42 PM UTC 2026
% Result : Theorem 1.02s 1.49s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 193 ( 39 unt; 0 typ; 13 def)
% Number of atoms : 474 ( 278 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 523 ( 242 ~; 240 |; 22 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 44 :)
% 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(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(f23,axiom,
! [X0: knowheyan,X1: knowheyan] :
( ( X0 != X1 )
=> ( place_of(X0) != place_of(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_places) ).
tff(f24,axiom,
( ( place_of(a) != first )
& ( entry_of(a) != holography ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
tff(f25,axiom,
! [X0: knowheyan] :
( ( place_of(X0) = fourth )
=> ( ( entry_of(X0) != reconstituted_materials_sculpture )
& ( entry_of(X0) != holography ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_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,
( ( place_of(a) = third )
& ( place_of(b) = second )
& ( place_of(c) = first )
& ( place_of(d) = fourth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).
tff(f31,negated_conjecture,
~ ( ( place_of(a) = third )
& ( place_of(b) = second )
& ( place_of(c) = first )
& ( place_of(d) = fourth ) ),
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(f33,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( place_of(X0) != place_of(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
tff(f34,plain,
! [X0: knowheyan] :
( ( ( entry_of(X0) != reconstituted_materials_sculpture )
& ( entry_of(X0) != holography ) )
| ( fourth != place_of(X0) ) ),
inference(ennf_transformation,[],[f25]) ).
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,
( ( third != place_of(a) )
| ( second != place_of(b) )
| ( first != place_of(c) )
| ( fourth != place_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(f58,plain,
! [X0: entry] :
( ( collage_painting = X0 )
| ( holography = X0 )
| ( laser_etching = X0 )
| ( reconstituted_materials_sculpture = X0 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f59,plain,
! [X0: place] :
( ( fourth = X0 )
| ( second = X0 )
| ( third = 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(f61,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( place_of(X0) != place_of(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f62,plain,
holography != entry_of(a),
inference(cnf_transformation,[],[f24]) ).
tff(f63,plain,
first != place_of(a),
inference(cnf_transformation,[],[f24]) ).
tff(f65,plain,
! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( reconstituted_materials_sculpture != entry_of(X0) ) ),
inference(cnf_transformation,[],[f34]) ).
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] :
( ( c != X0 )
| ( collage_painting != entry_of(X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f69,plain,
! [X0: knowheyan] :
( ( a != X0 )
| ( collage_painting != entry_of(X0) ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f70,plain,
! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f71,plain,
fourth != place_of(b),
inference(cnf_transformation,[],[f36]) ).
tff(f72,plain,
third != place_of(c),
inference(cnf_transformation,[],[f28]) ).
tff(f73,plain,
third != place_of(b),
inference(cnf_transformation,[],[f28]) ).
tff(f74,plain,
! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f75,plain,
! [X0: knowheyan] :
( ( a != X0 )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f76,plain,
laser_etching != entry_of(b),
inference(cnf_transformation,[],[f37]) ).
tff(f77,plain,
( ( third != place_of(a) )
| ( second != place_of(b) )
| ( first != place_of(c) )
| ( fourth != place_of(d) ) ),
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
<=> ( fourth = place_of(d) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f84,plain,
( ( fourth != place_of(d) )
| spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f86,definition,
( spl0_2
<=> ( first = place_of(c) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f87,plain,
( ( first = place_of(c) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f90,definition,
( spl0_3
<=> ( second = place_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f91,plain,
( ( second = place_of(b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f90]) ).
tff(f94,definition,
( spl0_4
<=> ( third = place_of(a) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f95,plain,
( ( third = place_of(a) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f94]) ).
tff(f96,plain,
( ( third != place_of(a) )
| 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(f112,plain,
( ( collage_painting != collage_painting )
| ( holography = entry_of(a) )
| ( laser_etching = entry_of(a) )
| ( reconstituted_materials_sculpture = entry_of(a) ) ),
inference(superposition,[],[f78,f58]) ).
tff(f115,plain,
( ( collage_painting != collage_painting )
| ( holography = entry_of(c) )
| ( laser_etching = entry_of(c) )
| ( reconstituted_materials_sculpture = entry_of(c) ) ),
inference(superposition,[],[f79,f58]) ).
tff(f119,plain,
( ( holography = entry_of(c) )
| ( laser_etching = entry_of(c) )
| ( reconstituted_materials_sculpture = entry_of(c) ) ),
inference(trivial_inequality_removal,[],[f115]) ).
tff(f120,plain,
( ( holography = entry_of(a) )
| ( laser_etching = entry_of(a) )
| ( reconstituted_materials_sculpture = entry_of(a) ) ),
inference(trivial_inequality_removal,[],[f112]) ).
tff(f122,definition,
( spl0_5
<=> ( reconstituted_materials_sculpture = entry_of(c) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f124,plain,
( ( reconstituted_materials_sculpture = entry_of(c) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f122]) ).
tff(f126,definition,
( spl0_6
<=> ( laser_etching = entry_of(c) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f128,plain,
( ( laser_etching = entry_of(c) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f130,definition,
( spl0_7
<=> ( holography = entry_of(c) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f132,plain,
( ( holography = entry_of(c) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f130]) ).
tff(f133,plain,
( spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f119,f130,f126,f122]) ).
tff(f134,plain,
( ( laser_etching = entry_of(a) )
| ( reconstituted_materials_sculpture = entry_of(a) ) ),
inference(forward_subsumption_resolution,[],[f120,f62]) ).
tff(f135,plain,
reconstituted_materials_sculpture = entry_of(a),
inference(forward_subsumption_resolution,[],[f134,f80]) ).
tff(f140,plain,
! [X0: knowheyan] :
( ( fourth != fourth )
| ( reconstituted_materials_sculpture != entry_of(X0) )
| ( second = place_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(superposition,[],[f65,f59]) ).
tff(f143,plain,
! [X0: knowheyan] :
( ( fourth != fourth )
| ( laser_etching != entry_of(X0) )
| ( second = place_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(superposition,[],[f70,f59]) ).
tff(f148,plain,
( ( fourth != fourth )
| ( second = place_of(b) )
| ( third = place_of(b) )
| ( first = place_of(b) ) ),
inference(superposition,[],[f71,f59]) ).
tff(f155,plain,
( ( second = place_of(b) )
| ( third = place_of(b) )
| ( first = place_of(b) ) ),
inference(trivial_inequality_removal,[],[f148]) ).
tff(f157,plain,
! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( second = place_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(trivial_inequality_removal,[],[f143]) ).
tff(f158,plain,
! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != entry_of(X0) )
| ( second = place_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(trivial_inequality_removal,[],[f140]) ).
tff(f161,definition,
( spl0_8
<=> ( first = place_of(d) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f163,plain,
( ( first = place_of(d) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f165,definition,
( spl0_9
<=> ( third = place_of(d) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f167,plain,
( ( third = place_of(d) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f169,definition,
( spl0_10
<=> ( second = place_of(d) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
tff(f171,plain,
( ( second = place_of(d) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f173,plain,
( ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(forward_subsumption_resolution,[],[f155,f73]) ).
tff(f174,plain,
! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(forward_subsumption_resolution,[],[f157,f74]) ).
tff(f176,definition,
( spl0_11
<=> ( first = place_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
tff(f178,plain,
( ( first = place_of(b) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f179,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f173,f90,f176]) ).
tff(f224,plain,
! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != entry_of(X0) )
| ( a = X0 ) ),
inference(superposition,[],[f60,f135]) ).
tff(f235,plain,
( ( first != first )
| ( collage_painting != entry_of(b) )
| ~ spl0_11 ),
inference(superposition,[],[f67,f178]) ).
tff(f239,plain,
( ( collage_painting != entry_of(b) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f235]) ).
tff(f244,plain,
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( second = place_of(a) )
| ( third = place_of(a) )
| ( first = place_of(a) ) ),
inference(superposition,[],[f158,f135]) ).
tff(f246,plain,
( ( second = place_of(a) )
| ( third = place_of(a) )
| ( first = place_of(a) ) ),
inference(trivial_inequality_removal,[],[f244]) ).
tff(f248,plain,
( ( second = place_of(a) )
| ( first = place_of(a) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f246,f96]) ).
tff(f250,plain,
( ( second = place_of(a) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f248,f63]) ).
tff(f259,plain,
( ! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( a = X0 ) )
| spl0_4 ),
inference(superposition,[],[f61,f250]) ).
tff(f282,plain,
( ( laser_etching != laser_etching )
| ( third = place_of(c) )
| ( first = place_of(c) )
| ~ spl0_6 ),
inference(superposition,[],[f174,f128]) ).
tff(f283,plain,
( ( third = place_of(c) )
| ( first = place_of(c) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f282]) ).
tff(f284,plain,
( ( first = place_of(c) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f283,f72]) ).
tff(f285,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f284,f126,f86]) ).
tff(f288,plain,
( ! [X0: knowheyan] :
( ( first != place_of(X0) )
| ( c = X0 ) )
| ~ spl0_2 ),
inference(superposition,[],[f61,f87]) ).
tff(f301,plain,
( ( first != first )
| ( b = c )
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f288,f178]) ).
tff(f304,plain,
( ( b = c )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f301]) ).
tff(f306,plain,
( $false
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f304,f42]) ).
tff(f307,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f306]) ).
tff(f315,plain,
( ( second != second )
| ( collage_painting != entry_of(b) )
| ~ spl0_3 ),
inference(superposition,[],[f66,f91]) ).
tff(f320,plain,
( ( second != second )
| ( a = b )
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f259,f91]) ).
tff(f322,plain,
( ( a = b )
| ~ spl0_3
| spl0_4 ),
inference(trivial_inequality_removal,[],[f320]) ).
tff(f324,plain,
( ( collage_painting != entry_of(b) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f315]) ).
tff(f325,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f322,f39]) ).
tff(f326,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f325]) ).
tff(f334,plain,
( ( fourth != fourth )
| ( second = place_of(d) )
| ( third = place_of(d) )
| ( first = place_of(d) )
| spl0_1 ),
inference(superposition,[],[f84,f59]) ).
tff(f335,plain,
( ( second = place_of(d) )
| ( third = place_of(d) )
| ( first = place_of(d) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f334]) ).
tff(f336,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f335,f82,f169,f165,f161]) ).
tff(f339,plain,
( ! [X0: knowheyan] :
( ( third != place_of(X0) )
| ( a = X0 ) )
| ~ spl0_4 ),
inference(superposition,[],[f61,f95]) ).
tff(f359,plain,
( ( first != first )
| ( c = d )
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f288,f163]) ).
tff(f360,plain,
( ( c = d )
| ~ spl0_2
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f359]) ).
tff(f362,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f360,f44]) ).
tff(f363,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f362]) ).
tff(f370,definition,
( spl0_14
<=> ( reconstituted_materials_sculpture = entry_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
tff(f371,plain,
( ( reconstituted_materials_sculpture != entry_of(b) )
| spl0_14 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f372,plain,
( ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f374,definition,
( spl0_15
<=> ( holography = entry_of(b) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
tff(f375,plain,
( ( holography != entry_of(b) )
| spl0_15 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f376,plain,
( ( holography = entry_of(b) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f411,plain,
( ( third != third )
| ( a = d )
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f339,f167]) ).
tff(f412,plain,
( ( a = d )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f411]) ).
tff(f413,plain,
( $false
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f412,f41]) ).
tff(f414,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f413]) ).
tff(f521,plain,
( ! [X0: knowheyan] :
( ( holography != entry_of(X0) )
| ( b = X0 ) )
| ~ spl0_15 ),
inference(superposition,[],[f60,f376]) ).
tff(f540,plain,
( ( holography != holography )
| ( b = c )
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f521,f132]) ).
tff(f543,plain,
( ( b = c )
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f540]) ).
tff(f544,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f543,f42]) ).
tff(f545,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f544]) ).
tff(f554,plain,
( ! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != entry_of(X0) )
| ( b = X0 ) )
| ~ spl0_14 ),
inference(superposition,[],[f60,f372]) ).
tff(f567,plain,
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( a = b )
| ~ spl0_14 ),
inference(superposition,[],[f554,f135]) ).
tff(f572,plain,
( ( a = b )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f567]) ).
tff(f575,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f572,f39]) ).
tff(f576,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f575]) ).
tff(f917,plain,
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( a = c )
| ~ spl0_5 ),
inference(superposition,[],[f224,f124]) ).
tff(f921,plain,
( ( a = c )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f917]) ).
tff(f922,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f921,f40]) ).
tff(f923,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f922]) ).
tff(f1057,plain,
( ( collage_painting != collage_painting )
| ( holography = entry_of(b) )
| ( laser_etching = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_11 ),
inference(superposition,[],[f239,f58]) ).
tff(f1058,plain,
( ( holography = entry_of(b) )
| ( laser_etching = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1057]) ).
tff(f1059,plain,
( ( laser_etching = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_11
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1058,f375]) ).
tff(f1060,plain,
( ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_11
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1059,f76]) ).
tff(f1061,plain,
( $false
| ~ spl0_11
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1060,f371]) ).
tff(f1062,plain,
( ~ spl0_11
| spl0_14
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
tff(f1096,plain,
( ! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( b = X0 ) )
| ~ spl0_3 ),
inference(superposition,[],[f61,f91]) ).
tff(f1145,plain,
( ( collage_painting != collage_painting )
| ( holography = entry_of(b) )
| ( laser_etching = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_3 ),
inference(superposition,[],[f324,f58]) ).
tff(f1146,plain,
( ( holography = entry_of(b) )
| ( laser_etching = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1145]) ).
tff(f1147,plain,
( ( holography = entry_of(b) )
| ( reconstituted_materials_sculpture = entry_of(b) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1146,f76]) ).
tff(f1148,plain,
( ( holography = entry_of(b) )
| ~ spl0_3
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1147,f371]) ).
tff(f1149,plain,
( spl0_15
| ~ spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f1148,f370,f90,f374]) ).
tff(f1179,plain,
( ( second != second )
| ( b = d )
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f1096,f171]) ).
tff(f1182,plain,
( ( b = d )
| ~ spl0_3
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1179]) ).
tff(f1183,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1182,f43]) ).
tff(f1184,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f97]) ).
cnf(s2,plain,
( spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f133]) ).
cnf(s4,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f179]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f285]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_11 ),
inference(sat_conversion,[],[f307]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f326]) ).
cnf(s10,plain,
( spl0_1
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f336]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f363]) ).
cnf(s14,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f414]) ).
cnf(s21,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(sat_conversion,[],[f545]) ).
cnf(s23,plain,
~ spl0_14,
inference(sat_conversion,[],[f576]) ).
cnf(s33,plain,
~ spl0_5,
inference(sat_conversion,[],[f923]) ).
cnf(s38,plain,
( ~ spl0_11
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s49,plain,
( ~ spl0_3
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s57,plain,
( spl0_6
| spl0_7 ),
inference(rat,[],[s2,s33]) ).
cnf(s58,plain,
spl0_15,
inference(rat,[],[s4,s38,s49,s23]) ).
cnf(s59,plain,
~ spl0_7,
inference(rat,[],[s21,s58]) ).
cnf(s60,plain,
spl0_6,
inference(rat,[],[s57,s59]) ).
cnf(s62,plain,
spl0_2,
inference(rat,[],[s6,s60]) ).
cnf(s63,plain,
~ spl0_8,
inference(rat,[],[s11,s62]) ).
cnf(s64,plain,
~ spl0_11,
inference(rat,[],[s7,s62]) ).
cnf(s65,plain,
spl0_3,
inference(rat,[],[s4,s64]) ).
cnf(s66,plain,
~ spl0_10,
inference(rat,[],[s51,s65]) ).
cnf(s67,plain,
spl0_4,
inference(rat,[],[s8,s65]) ).
cnf(s69,plain,
~ spl0_9,
inference(rat,[],[s14,s67]) ).
cnf(s70,plain,
~ spl0_1,
inference(rat,[],[s1,s62,s65,s67]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s10,s63,s66,s70,s69]) ).
tff(f1185,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ135_2 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n006.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 22:44:55 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 1.02/1.49 % (3402055)Detected formulas, will run a generic FOF schedule.
% 1.02/1.49 % (3402065)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=178552411:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.02/1.49 % (3402063)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1202134602:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.02/1.49 % (3402065)First to succeed.
% 1.02/1.49 % (3402065)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3402055"
% 1.02/1.49 % (3402063)Instruction limit reached!
% 1.02/1.49 % (3402063)------------------------------
% 1.02/1.49 % (3402063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.02/1.49 % (3402063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/1.49 % (3402063)CaDiCaL version: 2.1.3
% 1.02/1.49 % (3402063)Termination reason: Instruction limit
% 1.02/1.49 % (3402063)Termination phase: Saturation
% 1.02/1.49 % (3402063)Time elapsed: 0.055 s
% 1.02/1.49 % (3402063)Peak memory usage: 88 MB
% 1.02/1.49 % (3402063)Instructions burned: 109 (million)
% 1.02/1.49 % (3402060)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4084297769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.02/1.49 % (3402061)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=218205707:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.02/1.49 % (3402062)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=448732962:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.02/1.49 % (3402064)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3845063917:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.02/1.49 % (3402066)dis-21_1_sil=8000:lcm=predicate:random_seed=1654897733:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.02/1.49 % (3402066)Refutation not found, incomplete strategy
% 1.02/1.49 % (3402066)------------------------------
% 1.02/1.49 % (3402066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.02/1.49 % (3402066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/1.49 % (3402066)CaDiCaL version: 2.1.3
% 1.02/1.49 % (3402066)Termination reason: Refutation not found, incomplete strategy
% 1.02/1.49 % (3402066)Time elapsed: 0.006 s
% 1.02/1.49 % (3402066)Peak memory usage: 88 MB
% 1.02/1.49 % (3402066)Instructions burned: 4 (million)
% 1.02/1.49 % (3402064)Instruction limit reached!
% 1.02/1.49 % (3402064)------------------------------
% 1.02/1.49 % (3402064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.02/1.49 % (3402064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.02/1.49 % (3402064)CaDiCaL version: 2.1.3
% 1.02/1.49 % (3402064)Termination reason: Instruction limit
% 1.02/1.49 % (3402064)Termination phase: Saturation
% 1.02/1.49 % (3402064)Time elapsed: 0.094 s
% 1.02/1.49 % (3402064)Peak memory usage: 87 MB
% 1.02/1.49 % (3402064)Instructions burned: 120 (million)
% 1.02/1.49 % (3402065)Refutation found. Thanks to Tanya!
% 1.02/1.49 % SZS status Theorem for theBenchmark
% 1.02/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.75 % (3402065)------------------------------
% 3.97/1.75 % (3402065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.75 % (3402065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.75 % (3402065)CaDiCaL version: 2.1.3
% 3.97/1.75 % (3402065)Termination reason: Refutation
% 3.97/1.75 % (3402065)Time elapsed: 0.025 s
% 3.97/1.75 % (3402065)Peak memory usage: 90 MB
% 3.97/1.75 % (3402065)Instructions burned: 48 (million)
% 3.97/1.75 % (3402065)------------------------------
% 3.97/1.75 % (3402065)------------------------------
% 3.97/1.75 % (3402055)Success in time 0.444 s
% 3.97/1.75 % Vampire exiting
%------------------------------------------------------------------------------