TSTP Solution File: SEU158+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU158+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n026.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 18:26:58 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 53 ( 21 ~; 18 |; 7 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 18 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(subsumption_resolution,[],[f27,f26]) ).
fof(f26,plain,
subset(singleton(sK0),sK1),
inference(subsumption_resolution,[],[f23,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( subset(singleton(X0),X1)
| ~ in(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ( in(X1,X0)
| ~ subset(singleton(X1),X0) )
& ( subset(singleton(X1),X0)
| ~ in(X1,X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( in(X1,X0)
<=> subset(singleton(X1),X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f23,plain,
( subset(singleton(sK0),sK1)
| in(sK0,sK1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ~ subset(singleton(sK0),sK1)
| ~ in(sK0,sK1) )
& ( subset(singleton(sK0),sK1)
| in(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( ~ subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( subset(singleton(X0),X1)
| in(X0,X1) ) )
=> ( ( ~ subset(singleton(sK0),sK1)
| ~ in(sK0,sK1) )
& ( subset(singleton(sK0),sK1)
| in(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( ( ~ subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( subset(singleton(X0),X1)
| in(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X0] :
( ( ~ subset(singleton(X1),X0)
| ~ in(X1,X0) )
& ( subset(singleton(X1),X0)
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
? [X1,X0] :
( in(X1,X0)
<~> subset(singleton(X1),X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X1,X0] :
( in(X1,X0)
<=> subset(singleton(X1),X0) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f27,plain,
~ subset(singleton(sK0),sK1),
inference(subsumption_resolution,[],[f24,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
( ~ in(sK0,sK1)
| ~ subset(singleton(sK0),sK1) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU158+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:56:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % (28918)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55 % (28910)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (28918)First to succeed.
% 0.20/0.56 % (28910)Also succeeded, but the first one will report.
% 0.20/0.56 % (28918)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (28918)------------------------------
% 0.20/0.56 % (28918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28918)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (28918)Memory used [KB]: 1407
% 0.20/0.56 % (28918)Time elapsed: 0.070 s
% 0.20/0.56 % (28918)Instructions burned: 1 (million)
% 0.20/0.56 % (28918)------------------------------
% 0.20/0.56 % (28918)------------------------------
% 0.20/0.56 % (28894)Success in time 0.21 s
%------------------------------------------------------------------------------