TSTP Solution File: SET076+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Sun May 5 09:10:59 EDT 2024
% Result : Theorem 17.29s 2.85s
% Output : Refutation 17.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 97 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 33 ~; 28 |; 29 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29439,plain,
$false,
inference(resolution,[],[f28937,f137]) ).
fof(f137,plain,
member(sK0,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ~ subclass(unordered_pair(sK0,sK1),sK2)
& member(sK1,sK2)
& member(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f73,f87]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( ~ subclass(unordered_pair(X0,X1),X2)
& member(X1,X2)
& member(X0,X2) )
=> ( ~ subclass(unordered_pair(sK0,sK1),sK2)
& member(sK1,sK2)
& member(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ~ subclass(unordered_pair(X0,X1),X2)
& member(X1,X2)
& member(X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2] :
( ~ subclass(unordered_pair(X0,X1),X2)
& member(X1,X2)
& member(X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1,X2] :
( ( member(X1,X2)
& member(X0,X2) )
=> subclass(unordered_pair(X0,X1),X2) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X4] :
( ( member(X1,X4)
& member(X0,X4) )
=> subclass(unordered_pair(X0,X1),X4) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X4] :
( ( member(X1,X4)
& member(X0,X4) )
=> subclass(unordered_pair(X0,X1),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_is_subset) ).
fof(f28937,plain,
~ member(sK0,sK2),
inference(backward_demodulation,[],[f258,f28934]) ).
fof(f28934,plain,
sK0 = sK5(unordered_pair(sK0,sK1),sK2),
inference(resolution,[],[f28907,f138]) ).
fof(f138,plain,
member(sK1,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f28907,plain,
( ~ member(sK1,sK2)
| sK0 = sK5(unordered_pair(sK0,sK1),sK2) ),
inference(superposition,[],[f258,f24795]) ).
fof(f24795,plain,
( sK1 = sK5(unordered_pair(sK0,sK1),sK2)
| sK0 = sK5(unordered_pair(sK0,sK1),sK2) ),
inference(resolution,[],[f1374,f139]) ).
fof(f139,plain,
~ subclass(unordered_pair(sK0,sK1),sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f1374,plain,
! [X2,X0,X1] :
( subclass(unordered_pair(X0,X1),X2)
| sK5(unordered_pair(X0,X1),X2) = X1
| sK5(unordered_pair(X0,X1),X2) = X0 ),
inference(resolution,[],[f207,f177]) ).
fof(f177,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,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,[],[f123]) ).
fof(f123,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,[],[f65]) ).
fof(f65,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(f258,plain,
~ member(sK5(unordered_pair(sK0,sK1),sK2),sK2),
inference(resolution,[],[f178,f139]) ).
fof(f178,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 16:59:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (27150)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27153)WARNING: value z3 for option sas not known
% 0.16/0.38 % (27151)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (27154)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (27152)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (27153)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)
% 0.16/0.38 % (27155)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)
% 0.16/0.38 % (27156)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)
% 0.16/0.38 % (27157)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)
% 0.23/0.41 TRYING [1]
% 0.23/0.41 TRYING [2]
% 0.23/0.41 TRYING [1]
% 0.23/0.42 TRYING [2]
% 0.23/0.45 TRYING [3]
% 0.23/0.46 TRYING [3]
% 0.23/0.54 TRYING [4]
% 0.23/0.56 TRYING [4]
% 2.08/0.69 TRYING [5]
% 3.57/0.86 TRYING [5]
% 7.73/1.48 TRYING [1]
% 7.73/1.48 TRYING [2]
% 7.73/1.49 TRYING [3]
% 7.73/1.50 TRYING [6]
% 8.10/1.52 TRYING [4]
% 8.42/1.60 TRYING [5]
% 9.98/1.82 TRYING [6]
% 12.62/2.19 TRYING [6]
% 13.53/2.31 TRYING [7]
% 17.29/2.83 % (27156)First to succeed.
% 17.29/2.84 % (27156)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27150"
% 17.29/2.85 % (27156)Refutation found. Thanks to Tanya!
% 17.29/2.85 % SZS status Theorem for theBenchmark
% 17.29/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 17.29/2.85 % (27156)------------------------------
% 17.29/2.85 % (27156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 17.29/2.85 % (27156)Termination reason: Refutation
% 17.29/2.85
% 17.29/2.85 % (27156)Memory used [KB]: 23908
% 17.29/2.85 % (27156)Time elapsed: 2.455 s
% 17.29/2.85 % (27156)Instructions burned: 4538 (million)
% 17.29/2.85 % (27150)Success in time 2.454 s
%------------------------------------------------------------------------------