TSTP Solution File: SET071+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n027.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 18:23:31 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 125 ( 50 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 136 ( 53 ~; 36 |; 37 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f894,plain,
$false,
inference(avatar_sat_refutation,[],[f868,f884,f892]) ).
fof(f892,plain,
~ spl9_49,
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| ~ spl9_49 ),
inference(subsumption_resolution,[],[f890,f288]) ).
fof(f288,plain,
null_class != sF8,
inference(definition_folding,[],[f214,f287]) ).
fof(f287,plain,
unordered_pair(sK4,sK3) = sF8,
introduced(function_definition,[]) ).
fof(f214,plain,
null_class != unordered_pair(sK4,sK3),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( null_class != unordered_pair(sK4,sK3)
& ~ member(sK3,universal_class)
& ~ member(sK4,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1] :
( null_class != unordered_pair(X1,X0)
& ~ member(X0,universal_class)
& ~ member(X1,universal_class) )
=> ( null_class != unordered_pair(sK4,sK3)
& ~ member(sK3,universal_class)
& ~ member(sK4,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
? [X0,X1] :
( null_class != unordered_pair(X1,X0)
& ~ member(X0,universal_class)
& ~ member(X1,universal_class) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
? [X1,X0] :
( unordered_pair(X0,X1) != null_class
& ~ member(X1,universal_class)
& ~ member(X0,universal_class) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X1,X0] :
( unordered_pair(X0,X1) != null_class
& ~ member(X0,universal_class)
& ~ member(X1,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( ( ~ member(X0,universal_class)
& ~ member(X1,universal_class) )
=> unordered_pair(X0,X1) = null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( ( ~ member(X0,universal_class)
& ~ member(X1,universal_class) )
=> unordered_pair(X0,X1) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_unordered_pair) ).
fof(f890,plain,
( null_class = sF8
| ~ spl9_49 ),
inference(subsumption_resolution,[],[f887,f213]) ).
fof(f213,plain,
~ member(sK3,universal_class),
inference(cnf_transformation,[],[f133]) ).
fof(f887,plain,
( member(sK3,universal_class)
| null_class = sF8
| ~ spl9_49 ),
inference(superposition,[],[f196,f867]) ).
fof(f867,plain,
( sK2(sF8) = sK3
| ~ spl9_49 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl9_49
<=> sK2(sF8) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_49])]) ).
fof(f196,plain,
! [X0] :
( member(sK2(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( null_class = X0
| ( member(sK2(X0),X0)
& member(sK2(X0),universal_class)
& disjoint(sK2(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f82,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) )
=> ( member(sK2(X0),X0)
& member(sK2(X0),universal_class)
& disjoint(sK2(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( null_class = X0
| ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f884,plain,
~ spl9_48,
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| ~ spl9_48 ),
inference(subsumption_resolution,[],[f882,f288]) ).
fof(f882,plain,
( null_class = sF8
| ~ spl9_48 ),
inference(subsumption_resolution,[],[f878,f212]) ).
fof(f212,plain,
~ member(sK4,universal_class),
inference(cnf_transformation,[],[f133]) ).
fof(f878,plain,
( member(sK4,universal_class)
| null_class = sF8
| ~ spl9_48 ),
inference(superposition,[],[f196,f863]) ).
fof(f863,plain,
( sK4 = sK2(sF8)
| ~ spl9_48 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl9_48
<=> sK4 = sK2(sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_48])]) ).
fof(f868,plain,
( spl9_48
| spl9_49 ),
inference(avatar_split_clause,[],[f859,f865,f861]) ).
fof(f859,plain,
( sK2(sF8) = sK3
| sK4 = sK2(sF8) ),
inference(subsumption_resolution,[],[f854,f288]) ).
fof(f854,plain,
( sK2(sF8) = sK3
| null_class = sF8
| sK4 = sK2(sF8) ),
inference(resolution,[],[f771,f197]) ).
fof(f197,plain,
! [X0] :
( member(sK2(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f771,plain,
! [X0] :
( ~ member(X0,sF8)
| sK3 = X0
| sK4 = X0 ),
inference(superposition,[],[f201,f287]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X0,X2))
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) )
& ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 )
| ~ member(X1,universal_class) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ( ( ( X0 = X1
| X0 = X2 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ( X0 != X1
& X0 != X2 )
| ~ member(X0,universal_class) ) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ( ( ( X0 = X1
| X0 = X2 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X2,X1)) )
& ( member(X0,unordered_pair(X2,X1))
| ( X0 != X1
& X0 != X2 )
| ~ member(X0,universal_class) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ( ( X0 = X1
| X0 = X2 )
& member(X0,universal_class) )
<=> member(X0,unordered_pair(X2,X1)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:23:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (15973)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (15973)Instruction limit reached!
% 0.18/0.49 % (15973)------------------------------
% 0.18/0.49 % (15973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (15989)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)
% 0.18/0.50 % (15966)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)
% 0.18/0.50 % (15973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (15973)Termination reason: Unknown
% 0.18/0.50 % (15973)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (15973)Memory used [KB]: 5500
% 0.18/0.50 % (15973)Time elapsed: 0.102 s
% 0.18/0.50 % (15973)Instructions burned: 7 (million)
% 0.18/0.51 % (15973)------------------------------
% 0.18/0.51 % (15973)------------------------------
% 0.18/0.51 % (15978)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (15986)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)
% 0.18/0.51 % (15969)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)
% 0.18/0.51 % (15980)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)
% 0.18/0.52 % (15972)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)
% 0.18/0.52 % (15975)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)
% 0.18/0.52 % (15993)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)
% 0.18/0.52 % (15995)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)
% 0.18/0.52 % (15994)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (15970)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (15971)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)
% 0.18/0.52 % (15992)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)
% 0.18/0.52 % (15974)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (15974)Instruction limit reached!
% 0.18/0.52 % (15974)------------------------------
% 0.18/0.52 % (15974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (15974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (15974)Termination reason: Unknown
% 0.18/0.52 % (15974)Termination phase: Preprocessing 1
% 0.18/0.52
% 0.18/0.52 % (15974)Memory used [KB]: 895
% 0.18/0.52 % (15974)Time elapsed: 0.002 s
% 0.18/0.52 % (15974)Instructions burned: 2 (million)
% 0.18/0.52 % (15974)------------------------------
% 0.18/0.52 % (15974)------------------------------
% 0.18/0.53 % (15968)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)
% 0.18/0.53 % (15984)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (15988)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)
% 0.18/0.53 % (15990)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (15987)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (15985)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)
% 0.18/0.53 % (15967)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)
% 0.18/0.53 % (15991)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 % (15967)Refutation not found, incomplete strategy% (15967)------------------------------
% 0.18/0.54 % (15967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (15967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (15967)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (15967)Memory used [KB]: 5628
% 0.18/0.54 % (15967)Time elapsed: 0.144 s
% 0.18/0.54 % (15967)Instructions burned: 10 (million)
% 0.18/0.54 % (15967)------------------------------
% 0.18/0.54 % (15967)------------------------------
% 0.18/0.54 % (15979)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (15977)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)
% 0.18/0.54 % (15983)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54 % (15976)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (15982)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)
% 0.18/0.55 % (15981)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)
% 0.18/0.55 TRYING [1]
% 0.18/0.55 % (15978)First to succeed.
% 0.18/0.56 TRYING [2]
% 0.18/0.57 % (15978)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Theorem for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.58 % (15978)------------------------------
% 0.18/0.58 % (15978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (15978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (15978)Termination reason: Refutation
% 0.18/0.58
% 0.18/0.58 % (15978)Memory used [KB]: 6012
% 0.18/0.58 % (15978)Time elapsed: 0.161 s
% 0.18/0.58 % (15978)Instructions burned: 27 (million)
% 0.18/0.58 % (15978)------------------------------
% 0.18/0.58 % (15978)------------------------------
% 0.18/0.58 % (15965)Success in time 0.232 s
%------------------------------------------------------------------------------