TSTP Solution File: SET081+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET081+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 : n021.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 18:23:35 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 63 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 22 ~; 19 |; 16 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f620,plain,
$false,
inference(subsumption_resolution,[],[f590,f203]) ).
fof(f203,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( member(sK3,singleton(sK4))
& sK3 != sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1] :
( member(X0,singleton(X1))
& X0 != X1 )
=> ( member(sK3,singleton(sK4))
& sK3 != sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0,X1] :
( member(X0,singleton(X1))
& X0 != X1 ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( member(X1,singleton(X0))
& X0 != X1 ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( member(X1,singleton(X0))
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( member(X1,singleton(X0))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f590,plain,
sK3 = sK4,
inference(resolution,[],[f587,f290]) ).
fof(f290,plain,
member(sK3,sF8),
inference(definition_folding,[],[f268,f289]) ).
fof(f289,plain,
unordered_pair(sK4,sK4) = sF8,
introduced(function_definition,[]) ).
fof(f268,plain,
member(sK3,unordered_pair(sK4,sK4)),
inference(definition_unfolding,[],[f204,f185]) ).
fof(f185,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(f204,plain,
member(sK3,singleton(sK4)),
inference(cnf_transformation,[],[f121]) ).
fof(f587,plain,
! [X0] :
( ~ member(X0,sF8)
| sK4 = X0 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,plain,
! [X0] :
( ~ member(X0,sF8)
| sK4 = X0
| sK4 = X0 ),
inference(superposition,[],[f181,f289]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X0,X2))
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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,[],[f105]) ).
fof(f105,plain,
! [X1,X0,X2] :
( ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) )
& ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0,X2] :
( ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) )
& ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0,X2] :
( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
<=> member(X0,unordered_pair(X1,X2)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET081+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % 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 : n021.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 13:06:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (8934)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)
% 0.19/0.50 % (8942)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (8936)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (8950)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (8929)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)
% 0.19/0.51 % (8944)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)
% 0.19/0.51 % (8940)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)
% 0.19/0.52 % (8956)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)
% 0.19/0.52 % (8936)Instruction limit reached!
% 0.19/0.52 % (8936)------------------------------
% 0.19/0.52 % (8936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8936)Termination reason: Unknown
% 0.19/0.52 % (8936)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8936)Memory used [KB]: 5628
% 0.19/0.52 % (8936)Time elapsed: 0.122 s
% 0.19/0.52 % (8936)Instructions burned: 8 (million)
% 0.19/0.52 % (8936)------------------------------
% 0.19/0.52 % (8936)------------------------------
% 0.19/0.52 % (8942)First to succeed.
% 0.19/0.52 % (8952)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)
% 0.19/0.52 % (8953)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (8957)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (8955)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)
% 0.19/0.53 % (8948)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)
% 0.19/0.53 % (8932)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)
% 0.19/0.53 % (8931)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)
% 0.19/0.53 % (8941)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (8954)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (8945)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)
% 0.19/0.54 % (8947)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (8942)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (8942)------------------------------
% 0.19/0.54 % (8942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8942)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (8942)Memory used [KB]: 5756
% 0.19/0.54 % (8942)Time elapsed: 0.120 s
% 0.19/0.54 % (8942)Instructions burned: 15 (million)
% 0.19/0.54 % (8942)------------------------------
% 0.19/0.54 % (8942)------------------------------
% 0.19/0.54 % (8928)Success in time 0.194 s
%------------------------------------------------------------------------------