TSTP Solution File: NUM322+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM322+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n002.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 17:58:07 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 9 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(subsumption_resolution,[],[f428,f424]) ).
fof(f424,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
fof(f428,plain,
~ rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(resolution,[],[f426,f425]) ).
fof(f425,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[],[f133]) ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
fof(f426,plain,
! [X0] :
( ~ rdn_translate(nn5,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X0)) ),
inference(resolution,[],[f423,f422]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1,X2] :
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0) ),
inference(rectify,[],[f415]) ).
fof(f415,plain,
! [X1,X2,X0] :
( ~ rdn_translate(X2,rdn_neg(X0))
| ~ rdn_translate(X1,rdn_pos(X0))
| sum(X1,X2,n0) ),
inference(flattening,[],[f414]) ).
fof(f414,plain,
! [X0,X2,X1] :
( sum(X1,X2,n0)
| ~ rdn_translate(X1,rdn_pos(X0))
| ~ rdn_translate(X2,rdn_neg(X0)) ),
inference(ennf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X2,X1] :
( ( rdn_translate(X1,rdn_pos(X0))
& rdn_translate(X2,rdn_neg(X0)) )
=> sum(X1,X2,n0) ),
inference(rectify,[],[f291]) ).
fof(f291,axiom,
! [X9,X12,X13] :
( ( rdn_translate(X12,rdn_pos(X9))
& rdn_translate(X13,rdn_neg(X9)) )
=> sum(X12,X13,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
fof(f423,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(n5,nn5,X0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : sum(n5,nn5,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn5_what) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM322+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % 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 : n002.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 06:34:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (12952)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (12941)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (12941)First to succeed.
% 0.19/0.50 % (12941)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 % (12941)------------------------------
% 0.19/0.50 % (12941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (12941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (12941)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (12941)Memory used [KB]: 6268
% 0.19/0.50 % (12941)Time elapsed: 0.071 s
% 0.19/0.50 % (12941)Instructions burned: 3 (million)
% 0.19/0.50 % (12941)------------------------------
% 0.19/0.50 % (12941)------------------------------
% 0.19/0.50 % (12930)Success in time 0.152 s
%------------------------------------------------------------------------------