TSTP Solution File: NUM326+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM326+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 : n004.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 17:58:08 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% 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 : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f478,plain,
$false,
inference(resolution,[],[f477,f472]) ).
fof(f472,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(f477,plain,
! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5))),
inference(resolution,[],[f476,f474]) ).
fof(f474,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(f476,plain,
! [X0,X1] :
( ~ rdn_translate(nn5,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f475,f471]) ).
fof(f471,plain,
! [X2,X0,X1] :
( sum(X1,X0,n0)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[],[f463]) ).
fof(f463,plain,
! [X0,X1,X2] :
( ~ rdn_translate(X1,rdn_pos(X2))
| sum(X1,X0,n0)
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(rectify,[],[f460]) ).
fof(f460,plain,
! [X1,X0,X2] :
( ~ rdn_translate(X0,rdn_pos(X2))
| sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2)) ),
inference(flattening,[],[f459]) ).
fof(f459,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2] :
( ( rdn_translate(X1,rdn_neg(X2))
& rdn_translate(X0,rdn_pos(X2)) )
=> sum(X0,X1,n0) ),
inference(rectify,[],[f291]) ).
fof(f291,axiom,
! [X12,X13,X9] :
( ( rdn_translate(X13,rdn_neg(X9))
& rdn_translate(X12,rdn_pos(X9)) )
=> sum(X12,X13,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
fof(f475,plain,
! [X0] : ~ sum(X0,nn5,n0),
inference(cnf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0] : ~ sum(X0,nn5,n0),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] : sum(X0,nn5,n0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] : sum(X0,nn5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_n0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 06:19:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.20/0.54 % (32364)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.55 % (32369)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.55 % (32380)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (32369)First to succeed.
% 0.20/0.56 % (32369)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 % (32369)------------------------------
% 0.20/0.56 % (32369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32369)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (32369)Memory used [KB]: 1791
% 0.20/0.56 % (32369)Time elapsed: 0.125 s
% 0.20/0.56 % (32369)Instructions burned: 3 (million)
% 0.20/0.56 % (32369)------------------------------
% 0.20/0.56 % (32369)------------------------------
% 0.20/0.56 % (32363)Success in time 0.208 s
%------------------------------------------------------------------------------