TSTP Solution File: SET064+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET064+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 18:23:27 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 43 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 15 ~; 6 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 14 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
null_class != null_class,
inference(superposition,[],[f200,f305]) ).
fof(f305,plain,
null_class = sK3,
inference(resolution,[],[f222,f199]) ).
fof(f199,plain,
! [X1] : ~ member(X1,sK3),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( null_class != sK3
& ! [X1] : ~ member(X1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f76,f120]) ).
fof(f120,plain,
( ? [X0] :
( null_class != X0
& ! [X1] : ~ member(X1,X0) )
=> ( null_class != sK3
& ! [X1] : ~ member(X1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( null_class != X0
& ! [X1] : ~ member(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( null_class = X0
| ? [X1] : member(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f222,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( null_class = X0
| ( member(sK4(X0),X0)
& member(sK4(X0),universal_class)
& disjoint(sK4(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f86,f133]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) )
=> ( member(sK4(X0),X0)
& member(sK4(X0),universal_class)
& disjoint(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( null_class = X0
| ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( member(X1,X0)
& member(X1,universal_class)
& disjoint(X1,X0) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( member(X2,universal_class)
& disjoint(X2,X0)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f200,plain,
null_class != sK3,
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET064+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % 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 13:02:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (2477)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (2477)First to succeed.
% 0.20/0.50 % (2492)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (2467)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)
% 0.20/0.50 % (2484)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (2474)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (2475)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (2476)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2487)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (2477)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (2477)------------------------------
% 0.20/0.51 % (2477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2477)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (2477)Memory used [KB]: 5628
% 0.20/0.51 % (2477)Time elapsed: 0.100 s
% 0.20/0.51 % (2477)Instructions burned: 9 (million)
% 0.20/0.51 % (2477)------------------------------
% 0.20/0.51 % (2477)------------------------------
% 0.20/0.51 % (2466)Success in time 0.164 s
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