TSTP Solution File: SET090+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET090+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue May 21 03:16:01 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 87 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 82 ( 29 ~; 24 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1777,plain,
$false,
inference(trivial_inequality_removal,[],[f1774]) ).
fof(f1774,plain,
sK1 != sK1,
inference(superposition,[],[f147,f1617]) ).
fof(f1617,plain,
sK1 = member_of(sK0),
inference(resolution,[],[f1546,f145]) ).
fof(f145,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( sK1 != member_of(sK0)
& sK0 = singleton(sK1)
& member(sK1,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f79,f95]) ).
fof(f95,plain,
( ? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) )
=> ( sK1 != member_of(sK0)
& sK0 = singleton(sK1)
& member(sK1,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( singleton(X1) = X0
& member(X1,universal_class) )
=> member_of(X0) = X1 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X2] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X2] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
fof(f1546,plain,
( ~ member(sK1,universal_class)
| sK1 = member_of(sK0) ),
inference(resolution,[],[f1534,f294]) ).
fof(f294,plain,
( member(sK1,sK0)
| ~ member(sK1,universal_class) ),
inference(superposition,[],[f292,f146]) ).
fof(f146,plain,
sK0 = singleton(sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f292,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f243,f153]) ).
fof(f153,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(f243,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f221]) ).
fof(f221,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f1534,plain,
! [X0] :
( ~ member(X0,sK0)
| member_of(sK0) = X0 ),
inference(superposition,[],[f1516,f580]) ).
fof(f580,plain,
sK0 = singleton(member_of(sK0)),
inference(forward_demodulation,[],[f571,f146]) ).
fof(f571,plain,
singleton(sK1) = singleton(member_of(singleton(sK1))),
inference(resolution,[],[f166,f145]) ).
fof(f166,plain,
! [X0] :
( ~ member(X0,universal_class)
| singleton(X0) = singleton(member_of(singleton(X0))) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( singleton(X0) = singleton(member_of(singleton(X0)))
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,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(f1516,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f1508]) ).
fof(f1508,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f219,f153]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f147,plain,
sK1 != member_of(sK0),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET090+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.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 : Mon May 20 11:26:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (20017)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (20021)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (20020)WARNING: value z3 for option sas not known
% 0.14/0.37 % (20018)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (20020)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)
% 0.14/0.37 % (20019)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (20022)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)
% 0.14/0.37 % (20023)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)
% 0.14/0.37 % (20024)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [3]
% 0.21/0.44 % (20023)First to succeed.
% 0.21/0.44 % (20023)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20017"
% 0.21/0.44 % (20023)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (20023)------------------------------
% 0.21/0.44 % (20023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (20023)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (20023)Memory used [KB]: 1684
% 0.21/0.44 % (20023)Time elapsed: 0.070 s
% 0.21/0.44 % (20023)Instructions burned: 111 (million)
% 0.21/0.44 % (20017)Success in time 0.088 s
%------------------------------------------------------------------------------