TSTP Solution File: SET090+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 18:23:38 EDT 2022
% Result : Theorem 1.78s 0.60s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 20 unt; 0 def)
% Number of atoms : 150 ( 67 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 136 ( 50 ~; 49 |; 26 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 46 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f943,plain,
$false,
inference(avatar_sat_refutation,[],[f346,f835,f935,f938]) ).
fof(f938,plain,
( spl10_4
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f936,f313]) ).
fof(f313,plain,
member(sK4,universal_class),
inference(superposition,[],[f181,f311]) ).
fof(f311,plain,
unordered_pair(sK5,sK5) = sK4,
inference(forward_demodulation,[],[f307,f308]) ).
fof(f308,plain,
sF8 = sK4,
inference(definition_folding,[],[f296,f307]) ).
fof(f296,plain,
unordered_pair(sK5,sK5) = sK4,
inference(definition_unfolding,[],[f239,f233]) ).
fof(f233,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f239,plain,
singleton(sK5) = sK4,
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( singleton(sK5) = sK4
& sK5 != member_of(sK4)
& member(sK5,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f148,f149]) ).
fof(f149,plain,
( ? [X0,X1] :
( singleton(X1) = X0
& member_of(X0) != X1
& member(X1,universal_class) )
=> ( singleton(sK5) = sK4
& sK5 != member_of(sK4)
& member(sK5,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
? [X0,X1] :
( singleton(X1) = X0
& member_of(X0) != X1
& member(X1,universal_class) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X1,X0] :
( singleton(X0) = X1
& member_of(X1) != X0
& member(X0,universal_class) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0,X1] :
( member_of(X1) != X0
& singleton(X0) = X1
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0,X1] :
( ( singleton(X0) = X1
& member(X0,universal_class) )
=> member_of(X1) = X0 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X2,X0] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X2,X0] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
fof(f307,plain,
unordered_pair(sK5,sK5) = sF8,
introduced(function_definition,[]) ).
fof(f181,plain,
! [X0,X1] : member(unordered_pair(X1,X0),universal_class),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] : member(unordered_pair(X1,X0),universal_class),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
fof(f936,plain,
( ~ member(sK4,universal_class)
| spl10_4
| ~ spl10_5 ),
inference(forward_demodulation,[],[f340,f345]) ).
fof(f345,plain,
( sK4 = sF9
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl10_5
<=> sK4 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f340,plain,
( ~ member(sF9,universal_class)
| spl10_4 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl10_4
<=> member(sF9,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f935,plain,
spl10_34,
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| spl10_34 ),
inference(subsumption_resolution,[],[f933,f769]) ).
fof(f769,plain,
( unordered_pair(sF9,sF9) != sK4
| spl10_34 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl10_34
<=> unordered_pair(sF9,sF9) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f933,plain,
unordered_pair(sF9,sF9) = sK4,
inference(forward_demodulation,[],[f932,f309]) ).
fof(f309,plain,
member_of(sK4) = sF9,
introduced(function_definition,[]) ).
fof(f932,plain,
unordered_pair(member_of(sK4),member_of(sK4)) = sK4,
inference(forward_demodulation,[],[f908,f311]) ).
fof(f908,plain,
unordered_pair(sK5,sK5) = unordered_pair(member_of(unordered_pair(sK5,sK5)),member_of(unordered_pair(sK5,sK5))),
inference(resolution,[],[f274,f237]) ).
fof(f237,plain,
member(sK5,universal_class),
inference(cnf_transformation,[],[f150]) ).
fof(f274,plain,
! [X0] :
( ~ member(X0,universal_class)
| unordered_pair(X0,X0) = unordered_pair(member_of(unordered_pair(X0,X0)),member_of(unordered_pair(X0,X0))) ),
inference(definition_unfolding,[],[f193,f233,f233,f233]) ).
fof(f193,plain,
! [X0] :
( ~ member(X0,universal_class)
| singleton(X0) = singleton(member_of(singleton(X0))) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ member(X0,universal_class)
| singleton(X0) = singleton(member_of(singleton(X0))) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( member(X0,universal_class)
=> singleton(X0) = singleton(member_of(singleton(X0))) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1] :
( member(X1,universal_class)
=> singleton(X1) = singleton(member_of(singleton(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_singleton_singleton) ).
fof(f835,plain,
( ~ spl10_4
| ~ spl10_34 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl10_4
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f820,f310]) ).
fof(f310,plain,
sK5 != sF9,
inference(definition_folding,[],[f238,f309]) ).
fof(f238,plain,
sK5 != member_of(sK4),
inference(cnf_transformation,[],[f150]) ).
fof(f820,plain,
( sK5 = sF9
| ~ spl10_4
| ~ spl10_34 ),
inference(resolution,[],[f733,f799]) ).
fof(f799,plain,
( member(sF9,sK4)
| ~ spl10_4
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f791,f341]) ).
fof(f341,plain,
( member(sF9,universal_class)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f791,plain,
( ~ member(sF9,universal_class)
| member(sF9,sK4)
| ~ spl10_34 ),
inference(superposition,[],[f304,f770]) ).
fof(f770,plain,
( unordered_pair(sF9,sF9) = sK4
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f304,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| X0 != X1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( ( member(X0,universal_class)
& ( X0 = X2
| X0 = X1 ) )
| ~ member(X0,unordered_pair(X1,X2)) )
& ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X2
& X0 != X1 ) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0,X2,X1] :
( ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X2,X1] :
( ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X2,X1] :
( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
<=> member(X0,unordered_pair(X2,X1)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( ( ( X0 = X2
| X1 = X2 )
& member(X2,universal_class) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f733,plain,
! [X0] :
( ~ member(X0,sK4)
| sK5 = X0 ),
inference(duplicate_literal_removal,[],[f732]) ).
fof(f732,plain,
! [X0] :
( sK5 = X0
| sK5 = X0
| ~ member(X0,sK4) ),
inference(superposition,[],[f230,f311]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f146]) ).
fof(f346,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f337,f343,f339]) ).
fof(f337,plain,
( sK4 = sF9
| member(sF9,universal_class) ),
inference(superposition,[],[f209,f309]) ).
fof(f209,plain,
! [X0] :
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_universal_self) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:10:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (16441)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (16459)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (16451)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (16444)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16449)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16438)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (16442)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16463)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (16443)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (16447)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (16455)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (16447)Instruction limit reached!
% 0.20/0.54 % (16447)------------------------------
% 0.20/0.54 % (16447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16447)Termination reason: Unknown
% 0.20/0.54 % (16447)Termination phase: Unused predicate definition removal
% 0.20/0.54
% 0.20/0.54 % (16447)Memory used [KB]: 895
% 0.20/0.54 % (16447)Time elapsed: 0.002 s
% 0.20/0.54 % (16447)Instructions burned: 2 (million)
% 0.20/0.54 % (16447)------------------------------
% 0.20/0.54 % (16447)------------------------------
% 0.20/0.54 % (16462)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (16440)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (16461)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (16450)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (16464)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (16465)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (16437)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.55 % (16460)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (16453)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (16456)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (16469)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (16452)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (16466)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (16467)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (16446)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (16457)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 % (16446)Instruction limit reached!
% 0.20/0.56 % (16446)------------------------------
% 0.20/0.56 % (16446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (16446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (16446)Termination reason: Unknown
% 0.20/0.56 % (16446)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (16446)Memory used [KB]: 5628
% 0.20/0.56 % (16446)Time elapsed: 0.106 s
% 0.20/0.56 % (16446)Instructions burned: 7 (million)
% 0.20/0.56 % (16446)------------------------------
% 0.20/0.56 % (16446)------------------------------
% 0.20/0.56 % (16454)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (16458)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (16468)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.78/0.60 % (16444)Instruction limit reached!
% 1.78/0.60 % (16444)------------------------------
% 1.78/0.60 % (16444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (16438)Instruction limit reached!
% 1.78/0.60 % (16438)------------------------------
% 1.78/0.60 % (16438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.60 % (16453)First to succeed.
% 1.78/0.60 % (16453)Refutation found. Thanks to Tanya!
% 1.78/0.60 % SZS status Theorem for theBenchmark
% 1.78/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.61 % (16453)------------------------------
% 1.78/0.61 % (16453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61 % (16453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.61 % (16453)Termination reason: Refutation
% 1.78/0.61
% 1.78/0.61 % (16453)Memory used [KB]: 6012
% 1.78/0.61 % (16453)Time elapsed: 0.201 s
% 1.78/0.61 % (16453)Instructions burned: 26 (million)
% 1.78/0.61 % (16453)------------------------------
% 1.78/0.61 % (16453)------------------------------
% 1.78/0.61 % (16433)Success in time 0.248 s
%------------------------------------------------------------------------------