TSTP Solution File: SET079+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET079+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 : n020.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 18:23:34 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 59 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 20 ~; 17 |; 15 &)
% ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(subsumption_resolution,[],[f309,f170]) ).
fof(f170,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).
fof(f309,plain,
member(sK1,null_class),
inference(superposition,[],[f304,f255]) ).
fof(f255,plain,
null_class = unordered_pair(sK1,sK1),
inference(definition_unfolding,[],[f181,f176]) ).
fof(f176,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(f181,plain,
null_class = singleton(sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( null_class = singleton(sK1)
& member(sK1,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f83,f101]) ).
fof(f101,plain,
( ? [X0] :
( singleton(X0) = null_class
& member(X0,universal_class) )
=> ( null_class = singleton(sK1)
& member(sK1,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( singleton(X0) = null_class
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( member(X0,universal_class)
=> singleton(X0) != null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( member(X0,universal_class)
=> singleton(X0) != null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).
fof(f304,plain,
! [X10] : member(sK1,unordered_pair(X10,sK1)),
inference(resolution,[],[f284,f180]) ).
fof(f180,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f102]) ).
fof(f284,plain,
! [X2,X0] :
( ~ member(X2,universal_class)
| member(X2,unordered_pair(X0,X2)) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
| ~ member(X2,universal_class)
| X1 != X2 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( member(X2,unordered_pair(X0,X1))
| ~ member(X2,universal_class)
| ( X1 != X2
& X0 != X2 ) )
& ( ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) )
| ~ member(X2,unordered_pair(X0,X1)) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X1,X0,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(flattening,[],[f145]) ).
fof(f145,plain,
! [X1,X0,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(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0,X2] :
( member(X2,unordered_pair(X1,X0))
<=> ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( member(X2,unordered_pair(X0,X1))
<=> ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:13:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (6202)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)
% 0.21/0.49 % (6210)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)
% 0.21/0.50 % (6218)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)
% 0.21/0.50 % (6218)First to succeed.
% 0.21/0.50 % (6225)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)
% 0.21/0.51 % (6201)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)
% 0.21/0.51 % (6218)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (6218)------------------------------
% 0.21/0.51 % (6218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (6218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (6218)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (6218)Memory used [KB]: 1151
% 0.21/0.51 % (6218)Time elapsed: 0.105 s
% 0.21/0.51 % (6218)Instructions burned: 7 (million)
% 0.21/0.51 % (6218)------------------------------
% 0.21/0.51 % (6218)------------------------------
% 0.21/0.51 % (6194)Success in time 0.151 s
%------------------------------------------------------------------------------