TSTP Solution File: SET045+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : 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 : Wed Aug 31 18:18:45 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 21 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,plain,
$false,
inference(resolution,[],[f24,f12]) ).
fof(f12,plain,
! [X1] : element(X1,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X1] : element(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X0] :
! [X1] : element(X1,X0)
=> ! [X1] : element(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0] :
! [X1] : element(X1,X0),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
! [X1] : element(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
! [X2] : element(X2,X0),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
! [X2] : element(X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41) ).
fof(f24,plain,
! [X0] : ~ element(sK1(X0),X0),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ element(sK1(X0),X0)
| ~ element(sK1(X0),X0) ),
inference(resolution,[],[f19,f18]) ).
fof(f18,plain,
! [X0] :
( element(sK1(X0),sK1(X0))
| ~ element(sK1(X0),X0) ),
inference(factoring,[],[f13]) ).
fof(f13,plain,
! [X2,X0] :
( element(X2,sK1(X0))
| ~ element(X2,X0)
| element(X2,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X2] :
( ( ( ~ element(X2,X2)
& element(X2,X0) )
| ~ element(X2,sK1(X0)) )
& ( element(X2,sK1(X0))
| element(X2,X2)
| ~ element(X2,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f9,f10]) ).
fof(f10,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ( ~ element(X2,X2)
& element(X2,X0) )
| ~ element(X2,X1) )
& ( element(X2,X1)
| element(X2,X2)
| ~ element(X2,X0) ) )
=> ! [X2] :
( ( ( ~ element(X2,X2)
& element(X2,X0) )
| ~ element(X2,sK1(X0)) )
& ( element(X2,sK1(X0))
| element(X2,X2)
| ~ element(X2,X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ( ~ element(X2,X2)
& element(X2,X0) )
| ~ element(X2,X1) )
& ( element(X2,X1)
| element(X2,X2)
| ~ element(X2,X0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ( ~ element(X2,X2)
& element(X2,X0) )
| ~ element(X2,X1) )
& ( element(X2,X1)
| element(X2,X2)
| ~ element(X2,X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ element(X2,X2)
& element(X2,X0) )
<=> element(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41_1) ).
fof(f19,plain,
! [X0] :
( ~ element(sK1(X0),sK1(X0))
| ~ element(sK1(X0),X0) ),
inference(resolution,[],[f18,f15]) ).
fof(f15,plain,
! [X2,X0] :
( ~ element(X2,sK1(X0))
| ~ element(X2,X2) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % 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 : n008.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 13:06:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (25070)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (25070)First to succeed.
% 0.19/0.49 % (25062)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (25062)Also succeeded, but the first one will report.
% 0.19/0.50 % (25070)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (25070)------------------------------
% 0.19/0.50 % (25070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25070)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (25070)Memory used [KB]: 5884
% 0.19/0.50 % (25070)Time elapsed: 0.054 s
% 0.19/0.50 % (25070)Instructions burned: 1 (million)
% 0.19/0.50 % (25070)------------------------------
% 0.19/0.50 % (25070)------------------------------
% 0.19/0.50 % (25047)Success in time 0.153 s
%------------------------------------------------------------------------------