TSTP Solution File: PUZ135_2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:50:51 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of formulae : 159 ( 49 unt; 18 typ; 0 def)
% Number of atoms : 354 ( 342 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 363 ( 150 ~; 179 |; 28 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?; 53 :)
% 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(pred_def_1,type,
sP0: knowheyan > $o ).
tff(f1177,plain,
$false,
inference(subsumption_resolution,[],[f1151,f1137]) ).
tff(f1137,plain,
fourth = place_of(d),
inference(unit_resulting_resolution,[],[f916,f915,f1089,f71]) ).
tff(f71,plain,
! [X0: place] :
( ( fourth = X0 )
| ( third = X0 )
| ( second = X0 )
| ( first = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
! [X0: place] :
( ( fourth = X0 )
| ( third = X0 )
| ( second = X0 )
| ( first = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_places) ).
tff(f1089,plain,
third != place_of(d),
inference(unit_resulting_resolution,[],[f58,f1037,f247]) ).
tff(f247,plain,
! [X0: knowheyan] :
( ( third != place_of(X0) )
| ( a = X0 )
| ( second = place_of(a) ) ),
inference(superposition,[],[f81,f227]) ).
tff(f227,plain,
( ( third = place_of(a) )
| ( second = place_of(a) ) ),
inference(subsumption_resolution,[],[f222,f66]) ).
tff(f66,plain,
first != place_of(a),
inference(cnf_transformation,[],[f24]) ).
tff(f24,axiom,
( ( holography != entry_of(a) )
& ( first != place_of(a) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_info) ).
tff(f222,plain,
( ( third = place_of(a) )
| ( second = place_of(a) )
| ( first = place_of(a) ) ),
inference(trivial_inequality_removal,[],[f207]) ).
tff(f207,plain,
( ( fourth != fourth )
| ( third = place_of(a) )
| ( second = place_of(a) )
| ( first = place_of(a) ) ),
inference(superposition,[],[f144,f71]) ).
tff(f144,plain,
fourth != place_of(a),
inference(unit_resulting_resolution,[],[f114,f78]) ).
tff(f78,plain,
! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( reconstituted_materials_sculpture != entry_of(X0) ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: knowheyan] :
( ( ( holography != entry_of(X0) )
& ( reconstituted_materials_sculpture != entry_of(X0) ) )
| ( fourth != place_of(X0) ) ),
inference(ennf_transformation,[],[f25]) ).
tff(f25,axiom,
! [X0: knowheyan] :
( ( fourth = place_of(X0) )
=> ( ( holography != entry_of(X0) )
& ( reconstituted_materials_sculpture != entry_of(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info) ).
tff(f114,plain,
reconstituted_materials_sculpture = entry_of(a),
inference(unit_resulting_resolution,[],[f86,f67,f82,f70]) ).
tff(f70,plain,
! [X0: entry] :
( ( reconstituted_materials_sculpture = X0 )
| ( laser_etching = X0 )
| ( holography = X0 )
| ( collage_painting = X0 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0: entry] :
( ( reconstituted_materials_sculpture = X0 )
| ( laser_etching = X0 )
| ( holography = X0 )
| ( collage_painting = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_entries) ).
tff(f82,plain,
laser_etching != entry_of(a),
inference(equality_resolution,[],[f62]) ).
tff(f62,plain,
! [X0: knowheyan] :
( ( a != X0 )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
( ! [X0: knowheyan] :
( ( ( second != place_of(X0) )
& ( a != X0 ) )
| ( laser_etching != entry_of(X0) ) )
& ( laser_etching != entry_of(b) ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f29,axiom,
( ! [X0: knowheyan] :
( ( laser_etching = entry_of(X0) )
=> ( ( second != place_of(X0) )
& ( a != X0 ) ) )
& ( laser_etching != entry_of(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',laser_etching_info) ).
tff(f67,plain,
holography != entry_of(a),
inference(cnf_transformation,[],[f24]) ).
tff(f86,plain,
collage_painting != entry_of(a),
inference(unit_resulting_resolution,[],[f84,f77]) ).
tff(f77,plain,
! [X0: knowheyan] :
( ( collage_painting != entry_of(X0) )
| sP0(X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: knowheyan] :
( sP0(X0)
| ( collage_painting != entry_of(X0) ) ),
inference(definition_folding,[],[f35,f39]) ).
tff(f39,plain,
! [X0: knowheyan] :
( ( ( second != place_of(X0) )
& ( first != place_of(X0) )
& ( c != X0 )
& ( a != X0 ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f35,plain,
! [X0: knowheyan] :
( ( ( second != place_of(X0) )
& ( first != place_of(X0) )
& ( c != X0 )
& ( a != X0 ) )
| ( collage_painting != entry_of(X0) ) ),
inference(ennf_transformation,[],[f26]) ).
tff(f26,axiom,
! [X0: knowheyan] :
( ( collage_painting = entry_of(X0) )
=> ( ( second != place_of(X0) )
& ( first != place_of(X0) )
& ( c != X0 )
& ( a != X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',collage_info) ).
tff(f84,plain,
~ sP0(a),
inference(equality_resolution,[],[f73]) ).
tff(f73,plain,
! [X0: knowheyan] :
( ( a != X0 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: knowheyan] :
( ( ( second != place_of(X0) )
& ( first != place_of(X0) )
& ( c != X0 )
& ( a != X0 ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f39]) ).
tff(f81,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( place_of(X0) != place_of(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( place_of(X0) != place_of(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
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(f1037,plain,
second != place_of(a),
inference(unit_resulting_resolution,[],[f60,f954,f233]) ).
tff(f233,plain,
! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( b = X0 )
| ( first = place_of(b) ) ),
inference(superposition,[],[f81,f228]) ).
tff(f228,plain,
( ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(subsumption_resolution,[],[f221,f64]) ).
tff(f64,plain,
third != place_of(b),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
( ( third != place_of(c) )
& ( third != place_of(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',third_info) ).
tff(f221,plain,
( ( third = place_of(b) )
| ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(trivial_inequality_removal,[],[f210]) ).
tff(f210,plain,
( ( fourth != fourth )
| ( third = place_of(b) )
| ( second = place_of(b) )
| ( first = place_of(b) ) ),
inference(superposition,[],[f68,f71]) ).
tff(f68,plain,
fourth != place_of(b),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
( ! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( laser_etching != entry_of(X0) ) )
& ( fourth != place_of(b) ) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,axiom,
( ! [X0: knowheyan] :
( ( laser_etching = entry_of(X0) )
=> ( fourth != place_of(X0) ) )
& ( fourth != place_of(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fourth_info2) ).
tff(f954,plain,
first != place_of(b),
inference(unit_resulting_resolution,[],[f57,f922,f293]) ).
tff(f293,plain,
! [X0: knowheyan] :
( ( first != place_of(X0) )
| ( c = X0 )
| ( holography = entry_of(c) ) ),
inference(superposition,[],[f81,f284]) ).
tff(f284,plain,
( ( first = place_of(c) )
| ( holography = entry_of(c) ) ),
inference(subsumption_resolution,[],[f283,f65]) ).
tff(f65,plain,
third != place_of(c),
inference(cnf_transformation,[],[f28]) ).
tff(f283,plain,
( ( third = place_of(c) )
| ( first = place_of(c) )
| ( holography = entry_of(c) ) ),
inference(trivial_inequality_removal,[],[f281]) ).
tff(f281,plain,
( ( laser_etching != laser_etching )
| ( third = place_of(c) )
| ( first = place_of(c) )
| ( holography = entry_of(c) ) ),
inference(superposition,[],[f226,f142]) ).
tff(f142,plain,
( ( laser_etching = entry_of(c) )
| ( holography = entry_of(c) ) ),
inference(subsumption_resolution,[],[f141,f85]) ).
tff(f85,plain,
collage_painting != entry_of(c),
inference(unit_resulting_resolution,[],[f83,f77]) ).
tff(f83,plain,
~ sP0(c),
inference(equality_resolution,[],[f74]) ).
tff(f74,plain,
! [X0: knowheyan] :
( ( c != X0 )
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
tff(f141,plain,
( ( laser_etching = entry_of(c) )
| ( holography = entry_of(c) )
| ( collage_painting = entry_of(c) ) ),
inference(subsumption_resolution,[],[f130,f114]) ).
tff(f130,plain,
( ( reconstituted_materials_sculpture != entry_of(a) )
| ( laser_etching = entry_of(c) )
| ( holography = entry_of(c) )
| ( collage_painting = entry_of(c) ) ),
inference(superposition,[],[f97,f70]) ).
tff(f97,plain,
entry_of(a) != entry_of(c),
inference(unit_resulting_resolution,[],[f59,f80]) ).
tff(f80,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( entry_of(X0) != entry_of(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: knowheyan,X1: knowheyan] :
( ( entry_of(X0) != entry_of(X1) )
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f22]) ).
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(f59,plain,
a != c,
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(f226,plain,
! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( third = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(subsumption_resolution,[],[f223,f63]) ).
tff(f63,plain,
! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f223,plain,
! [X0: knowheyan] :
( ( laser_etching != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(trivial_inequality_removal,[],[f205]) ).
tff(f205,plain,
! [X0: knowheyan] :
( ( fourth != fourth )
| ( laser_etching != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(superposition,[],[f69,f71]) ).
tff(f69,plain,
! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( laser_etching != entry_of(X0) ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f922,plain,
holography != entry_of(c),
inference(unit_resulting_resolution,[],[f57,f894,f169]) ).
tff(f169,plain,
! [X0: knowheyan] :
( ( holography != entry_of(X0) )
| ( b = X0 )
| ( collage_painting = entry_of(b) ) ),
inference(superposition,[],[f80,f140]) ).
tff(f140,plain,
( ( holography = entry_of(b) )
| ( collage_painting = entry_of(b) ) ),
inference(subsumption_resolution,[],[f139,f61]) ).
tff(f61,plain,
laser_etching != entry_of(b),
inference(cnf_transformation,[],[f33]) ).
tff(f139,plain,
( ( laser_etching = entry_of(b) )
| ( holography = entry_of(b) )
| ( collage_painting = entry_of(b) ) ),
inference(subsumption_resolution,[],[f128,f114]) ).
tff(f128,plain,
( ( reconstituted_materials_sculpture != entry_of(a) )
| ( laser_etching = entry_of(b) )
| ( holography = entry_of(b) )
| ( collage_painting = entry_of(b) ) ),
inference(superposition,[],[f98,f70]) ).
tff(f98,plain,
entry_of(a) != entry_of(b),
inference(unit_resulting_resolution,[],[f60,f80]) ).
tff(f894,plain,
collage_painting != entry_of(b),
inference(superposition,[],[f94,f886]) ).
tff(f886,plain,
collage_painting = entry_of(d),
inference(subsumption_resolution,[],[f867,f719]) ).
tff(f719,plain,
( ( first = place_of(b) )
| ( collage_painting = entry_of(d) ) ),
inference(subsumption_resolution,[],[f688,f548]) ).
tff(f548,plain,
( ( first = place_of(c) )
| ( first = place_of(b) ) ),
inference(subsumption_resolution,[],[f544,f57]) ).
tff(f544,plain,
( ( b = c )
| ( first = place_of(b) )
| ( first = place_of(c) ) ),
inference(trivial_inequality_removal,[],[f538]) ).
tff(f538,plain,
( ( second != second )
| ( b = c )
| ( first = place_of(b) )
| ( first = place_of(c) ) ),
inference(superposition,[],[f233,f523]) ).
tff(f523,plain,
( ( second = place_of(c) )
| ( first = place_of(c) ) ),
inference(subsumption_resolution,[],[f516,f85]) ).
tff(f516,plain,
( ( second = place_of(c) )
| ( first = place_of(c) )
| ( collage_painting = entry_of(c) ) ),
inference(trivial_inequality_removal,[],[f507]) ).
tff(f507,plain,
( ( third != third )
| ( second = place_of(c) )
| ( first = place_of(c) )
| ( collage_painting = entry_of(c) ) ),
inference(superposition,[],[f65,f468]) ).
tff(f468,plain,
! [X0: knowheyan] :
( ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) )
| ( collage_painting = entry_of(X0) ) ),
inference(subsumption_resolution,[],[f467,f226]) ).
tff(f467,plain,
! [X0: knowheyan] :
( ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) )
| ( laser_etching = entry_of(X0) )
| ( collage_painting = entry_of(X0) ) ),
inference(subsumption_resolution,[],[f465,f225]) ).
tff(f225,plain,
! [X0: knowheyan] :
( ( holography != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(trivial_inequality_removal,[],[f203]) ).
tff(f203,plain,
! [X0: knowheyan] :
( ( fourth != fourth )
| ( holography != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(superposition,[],[f79,f71]) ).
tff(f79,plain,
! [X0: knowheyan] :
( ( fourth != place_of(X0) )
| ( holography != entry_of(X0) ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f465,plain,
! [X0: knowheyan] :
( ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) )
| ( laser_etching = entry_of(X0) )
| ( holography = entry_of(X0) )
| ( collage_painting = entry_of(X0) ) ),
inference(trivial_inequality_removal,[],[f464]) ).
tff(f464,plain,
! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) )
| ( laser_etching = entry_of(X0) )
| ( holography = entry_of(X0) )
| ( collage_painting = entry_of(X0) ) ),
inference(superposition,[],[f224,f70]) ).
tff(f224,plain,
! [X0: knowheyan] :
( ( reconstituted_materials_sculpture != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(trivial_inequality_removal,[],[f204]) ).
tff(f204,plain,
! [X0: knowheyan] :
( ( fourth != fourth )
| ( reconstituted_materials_sculpture != entry_of(X0) )
| ( third = place_of(X0) )
| ( second = place_of(X0) )
| ( first = place_of(X0) ) ),
inference(superposition,[],[f78,f71]) ).
tff(f688,plain,
( ( first != place_of(c) )
| ( first = place_of(b) )
| ( collage_painting = entry_of(d) ) ),
inference(superposition,[],[f106,f671]) ).
tff(f671,plain,
( ( first = place_of(d) )
| ( first = place_of(b) )
| ( collage_painting = entry_of(d) ) ),
inference(subsumption_resolution,[],[f670,f230]) ).
tff(f230,plain,
( ( second != place_of(a) )
| ( first = place_of(b) ) ),
inference(superposition,[],[f111,f228]) ).
tff(f111,plain,
place_of(a) != place_of(b),
inference(unit_resulting_resolution,[],[f60,f81]) ).
tff(f670,plain,
( ( first = place_of(b) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(subsumption_resolution,[],[f661,f56]) ).
tff(f56,plain,
b != d,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_d) ).
tff(f661,plain,
( ( b = d )
| ( first = place_of(b) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(trivial_inequality_removal,[],[f651]) ).
tff(f651,plain,
( ( second != second )
| ( b = d )
| ( first = place_of(b) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(superposition,[],[f233,f628]) ).
tff(f628,plain,
( ( second = place_of(d) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(trivial_inequality_removal,[],[f624]) ).
tff(f624,plain,
( ( third != third )
| ( second = place_of(d) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(superposition,[],[f511,f227]) ).
tff(f511,plain,
( ( third != place_of(a) )
| ( second = place_of(d) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) ) ),
inference(superposition,[],[f108,f468]) ).
tff(f108,plain,
place_of(a) != place_of(d),
inference(unit_resulting_resolution,[],[f58,f81]) ).
tff(f106,plain,
place_of(c) != place_of(d),
inference(unit_resulting_resolution,[],[f48,f81]) ).
tff(f48,plain,
c != d,
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_d) ).
tff(f867,plain,
( ( first != place_of(b) )
| ( collage_painting = entry_of(d) ) ),
inference(superposition,[],[f109,f862]) ).
tff(f862,plain,
( ( first = place_of(c) )
| ( collage_painting = entry_of(d) ) ),
inference(subsumption_resolution,[],[f827,f719]) ).
tff(f827,plain,
( ( first != place_of(b) )
| ( first = place_of(c) )
| ( collage_painting = entry_of(d) ) ),
inference(superposition,[],[f107,f673]) ).
tff(f673,plain,
( ( first = place_of(d) )
| ( first = place_of(c) )
| ( collage_painting = entry_of(d) ) ),
inference(subsumption_resolution,[],[f672,f529]) ).
tff(f529,plain,
( ( second != place_of(a) )
| ( first = place_of(c) ) ),
inference(superposition,[],[f110,f523]) ).
tff(f110,plain,
place_of(a) != place_of(c),
inference(unit_resulting_resolution,[],[f59,f81]) ).
tff(f672,plain,
( ( first = place_of(c) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(subsumption_resolution,[],[f658,f48]) ).
tff(f658,plain,
( ( c = d )
| ( first = place_of(c) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(trivial_inequality_removal,[],[f655]) ).
tff(f655,plain,
( ( second != second )
| ( c = d )
| ( first = place_of(c) )
| ( first = place_of(d) )
| ( collage_painting = entry_of(d) )
| ( second = place_of(a) ) ),
inference(superposition,[],[f536,f628]) ).
tff(f536,plain,
! [X0: knowheyan] :
( ( second != place_of(X0) )
| ( c = X0 )
| ( first = place_of(c) ) ),
inference(superposition,[],[f81,f523]) ).
tff(f107,plain,
place_of(b) != place_of(d),
inference(unit_resulting_resolution,[],[f56,f81]) ).
tff(f109,plain,
place_of(b) != place_of(c),
inference(unit_resulting_resolution,[],[f57,f81]) ).
tff(f94,plain,
entry_of(b) != entry_of(d),
inference(unit_resulting_resolution,[],[f56,f80]) ).
tff(f57,plain,
b != c,
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(f60,plain,
a != b,
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(f58,plain,
a != d,
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
a != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_d) ).
tff(f915,plain,
second != place_of(d),
inference(unit_resulting_resolution,[],[f887,f76]) ).
tff(f76,plain,
! [X0: knowheyan] :
( ~ sP0(X0)
| ( second != place_of(X0) ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f887,plain,
sP0(d),
inference(unit_resulting_resolution,[],[f886,f77]) ).
tff(f916,plain,
first != place_of(d),
inference(unit_resulting_resolution,[],[f887,f75]) ).
tff(f75,plain,
! [X0: knowheyan] :
( ~ sP0(X0)
| ( first != place_of(X0) ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f1151,plain,
fourth != place_of(d),
inference(unit_resulting_resolution,[],[f1048,f951,f1095,f42]) ).
tff(f42,plain,
( ( fourth != place_of(d) )
| ( first != place_of(c) )
| ( second != place_of(b) )
| ( third != place_of(a) ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
( ( fourth != place_of(d) )
| ( first != place_of(c) )
| ( second != place_of(b) )
| ( third != place_of(a) ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,negated_conjecture,
~ ( ( fourth = place_of(d) )
& ( first = place_of(c) )
& ( second = place_of(b) )
& ( third = place_of(a) ) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
( ( fourth = place_of(d) )
& ( first = place_of(c) )
& ( second = place_of(b) )
& ( third = place_of(a) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',places) ).
tff(f1095,plain,
third = place_of(a),
inference(unit_resulting_resolution,[],[f66,f144,f1037,f71]) ).
tff(f951,plain,
first = place_of(c),
inference(unit_resulting_resolution,[],[f922,f284]) ).
tff(f1048,plain,
second = place_of(b),
inference(unit_resulting_resolution,[],[f68,f64,f954,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:00:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17300)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17303)WARNING: value z3 for option sas not known
% 0.14/0.38 % (17304)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (17303)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (17302)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (17305)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (17307)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (17306)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (17301)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [4,4,4]
% 0.14/0.38 Detected maximum model sizes of [4,4,4]
% 0.14/0.38 TRYING [4,4,4]
% 0.14/0.38 Detected minimum model sizes of [4]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (17304)Refutation not found, incomplete strategy% (17304)------------------------------
% 0.14/0.38 % (17304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (17304)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (17304)Memory used [KB]: 757
% 0.14/0.38 % (17304)Time elapsed: 0.006 s
% 0.14/0.38 % (17304)Instructions burned: 9 (million)
% 0.14/0.38 % (17304)------------------------------
% 0.14/0.38 % (17304)------------------------------
% 0.14/0.39 TRYING [5]
% 0.14/0.40 % (17311)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.40 % (17307)First to succeed.
% 0.14/0.40 Detected minimum model sizes of [4,4,4]
% 0.14/0.40 Detected maximum model sizes of [4,4,4]
% 0.14/0.40 TRYING [4,4,4]
% 0.14/0.40 % (17307)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17300"
% 0.14/0.40 % (17307)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (17307)------------------------------
% 0.14/0.40 % (17307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (17307)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (17307)Memory used [KB]: 922
% 0.14/0.40 % (17307)Time elapsed: 0.027 s
% 0.14/0.40 % (17307)Instructions burned: 53 (million)
% 0.14/0.40 % (17300)Success in time 0.042 s
%------------------------------------------------------------------------------