TSTP Solution File: SET079+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n017.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 18:18:59 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 60 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 21 ~; 18 |; 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 : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(subsumption_resolution,[],[f255,f142]) ).
fof(f142,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f255,plain,
member(sK4,null_class),
inference(subsumption_resolution,[],[f218,f132]) ).
fof(f132,plain,
member(sK4,universal_class),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( member(sK4,universal_class)
& null_class = singleton(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f67,f88]) ).
fof(f88,plain,
( ? [X0] :
( member(X0,universal_class)
& singleton(X0) = null_class )
=> ( member(sK4,universal_class)
& null_class = singleton(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0] :
( member(X0,universal_class)
& singleton(X0) = null_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/sandbox2/benchmark/theBenchmark.p',corollary_to_set_in_its_singleton) ).
fof(f218,plain,
( ~ member(sK4,universal_class)
| member(sK4,null_class) ),
inference(superposition,[],[f192,f174]) ).
fof(f174,plain,
null_class = unordered_pair(sK4,sK4),
inference(definition_unfolding,[],[f131,f120]) ).
fof(f120,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(f131,plain,
null_class = singleton(sK4),
inference(cnf_transformation,[],[f89]) ).
fof(f192,plain,
! [X2,X1] :
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X2,X0))
| X0 != X1
| ~ member(X1,universal_class) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ( X0 != X1
& X1 != X2 )
| ~ member(X1,universal_class) )
& ( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X2,X1,X0] :
( ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 )
| ~ member(X1,universal_class) )
& ( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X2,X1,X0] :
( ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 )
| ~ member(X1,universal_class) )
& ( ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X2,X1,X0] :
( member(X1,unordered_pair(X0,X2))
<=> ( ( X1 = X2
| X0 = X1 )
& member(X1,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET079+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:34:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (11888)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48 % (11880)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.48 % (11888)Instruction limit reached!
% 0.20/0.48 % (11888)------------------------------
% 0.20/0.48 % (11888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (11888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (11888)Termination reason: Unknown
% 0.20/0.48 % (11888)Termination phase: Function definition elimination
% 0.20/0.48
% 0.20/0.48 % (11888)Memory used [KB]: 1535
% 0.20/0.48 % (11888)Time elapsed: 0.005 s
% 0.20/0.48 % (11888)Instructions burned: 4 (million)
% 0.20/0.48 % (11888)------------------------------
% 0.20/0.48 % (11888)------------------------------
% 0.20/0.49 % (11880)First to succeed.
% 0.20/0.49 % (11880)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11880)------------------------------
% 0.20/0.49 % (11880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11880)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11880)Memory used [KB]: 6140
% 0.20/0.49 % (11880)Time elapsed: 0.093 s
% 0.20/0.49 % (11880)Instructions burned: 9 (million)
% 0.20/0.49 % (11880)------------------------------
% 0.20/0.49 % (11880)------------------------------
% 0.20/0.49 % (11870)Success in time 0.143 s
%------------------------------------------------------------------------------