TSTP Solution File: SET084+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET084+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 : n019.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 18:23:36 EDT 2022
% Result : Theorem 1.47s 0.54s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 96 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 95 ( 34 ~; 29 |; 25 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 31 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f623,plain,
$false,
inference(avatar_sat_refutation,[],[f559,f588,f622]) ).
fof(f622,plain,
~ spl8_16,
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl8_16 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f620,plain,
( sK1 != sK1
| ~ spl8_16 ),
inference(superposition,[],[f179,f553]) ).
fof(f553,plain,
( sK2 = sK1
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl8_16
<=> sK2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f179,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( member(sK1,universal_class)
& sK2 != sK1
& singleton(sK2) = singleton(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f104,f105]) ).
fof(f105,plain,
( ? [X0,X1] :
( member(X0,universal_class)
& X0 != X1
& singleton(X0) = singleton(X1) )
=> ( member(sK1,universal_class)
& sK2 != sK1
& singleton(sK2) = singleton(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1] :
( member(X0,universal_class)
& X0 != X1
& singleton(X0) = singleton(X1) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X1,X0] :
( member(X1,universal_class)
& X0 != X1
& singleton(X0) = singleton(X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X1,X0] :
( X0 != X1
& member(X1,universal_class)
& singleton(X0) = singleton(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element2) ).
fof(f588,plain,
spl8_17,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| spl8_17 ),
inference(resolution,[],[f557,f180]) ).
fof(f180,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f106]) ).
fof(f557,plain,
( ~ member(sK1,universal_class)
| spl8_17 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f555,plain,
( spl8_17
<=> member(sK1,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f559,plain,
( spl8_16
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f528,f555,f551]) ).
fof(f528,plain,
( ~ member(sK1,universal_class)
| sK2 = sK1 ),
inference(resolution,[],[f507,f286]) ).
fof(f286,plain,
! [X2,X0] :
( member(X2,unordered_pair(X2,X0))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f192]) ).
fof(f192,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X1,X0))
| ~ member(X2,universal_class)
| X1 != X2 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( member(X2,unordered_pair(X1,X0))
| ~ member(X2,universal_class)
| ( X0 != X2
& X1 != X2 ) )
& ( ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) )
| ~ member(X2,unordered_pair(X1,X0)) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ( member(X1,unordered_pair(X0,X2))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ( member(X1,unordered_pair(X0,X2))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X0,X2))
<=> ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f507,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK1,sK1))
| sK2 = X0 ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK1,sK1))
| sK2 = X0
| sK2 = X0 ),
inference(superposition,[],[f190,f258]) ).
fof(f258,plain,
unordered_pair(sK1,sK1) = unordered_pair(sK2,sK2),
inference(definition_unfolding,[],[f178,f168,f168]) ).
fof(f168,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/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f178,plain,
singleton(sK2) = singleton(sK1),
inference(cnf_transformation,[],[f106]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X1,X0))
| X1 = X2
| X0 = X2 ),
inference(cnf_transformation,[],[f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:14:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (8599)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (8615)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)
% 0.19/0.50 % (8601)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (8590)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)
% 0.19/0.51 % (8594)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)
% 0.19/0.51 % (8617)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (8592)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8587)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)
% 1.27/0.52 % (8597)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.27/0.52 % (8599)First to succeed.
% 1.27/0.52 % (8607)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.53 % (8605)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)
% 1.27/0.53 % (8591)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)
% 1.27/0.53 % (8597)Instruction limit reached!
% 1.27/0.53 % (8597)------------------------------
% 1.27/0.53 % (8597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (8612)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)
% 1.27/0.53 % (8602)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.53 % (8611)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)
% 1.27/0.53 % (8600)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)
% 1.27/0.53 % (8597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (8597)Termination reason: Unknown
% 1.27/0.53 % (8597)Termination phase: Property scanning
% 1.27/0.53
% 1.27/0.53 % (8597)Memory used [KB]: 1023
% 1.27/0.53 % (8588)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)
% 1.27/0.53 % (8597)Time elapsed: 0.003 s
% 1.27/0.53 % (8597)Instructions burned: 3 (million)
% 1.27/0.53 % (8597)------------------------------
% 1.27/0.53 % (8597)------------------------------
% 1.27/0.53 % (8613)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.54 % (8599)Refutation found. Thanks to Tanya!
% 1.47/0.54 % SZS status Theorem for theBenchmark
% 1.47/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.54 % (8599)------------------------------
% 1.47/0.54 % (8599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (8599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (8599)Termination reason: Refutation
% 1.47/0.54
% 1.47/0.54 % (8599)Memory used [KB]: 5884
% 1.47/0.54 % (8599)Time elapsed: 0.119 s
% 1.47/0.54 % (8599)Instructions burned: 18 (million)
% 1.47/0.54 % (8599)------------------------------
% 1.47/0.54 % (8599)------------------------------
% 1.47/0.54 % (8583)Success in time 0.19 s
%------------------------------------------------------------------------------