TSTP Solution File: NUM318+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM318+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Sun May 5 08:18:45 EDT 2024
% Result : Theorem 0.17s 0.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 7 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1200,plain,
$false,
inference(resolution,[],[f1199,f509]) ).
fof(f509,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(f1199,plain,
~ rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(resolution,[],[f1159,f502]) ).
fof(f502,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(f1159,plain,
! [X0] :
( ~ rdn_translate(nn5,rdn_neg(X0))
| ~ rdn_translate(n5,rdn_pos(X0)) ),
inference(resolution,[],[f857,f475]) ).
fof(f475,plain,
~ sum(n5,nn5,n0),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
~ sum(n5,nn5,n0),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ sum(n5,nn5,n0),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
sum(n5,nn5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn5_n0) ).
fof(f857,plain,
! [X2,X0,X1] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f433]) ).
fof(f433,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2] :
( sum(X0,X1,n0)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f407]) ).
fof(f407,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM318+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:07:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (12863)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (12866)WARNING: value z3 for option sas not known
% 0.11/0.36 % (12866)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36 % (12864)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36 % (12868)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.36 % (12870)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.36 % (12867)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.36 % (12869)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.36 % (12865)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.39 TRYING [1]
% 0.17/0.39 % (12869)First to succeed.
% 0.17/0.39 % (12869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12863"
% 0.17/0.39 % (12869)Refutation found. Thanks to Tanya!
% 0.17/0.39 % SZS status Theorem for theBenchmark
% 0.17/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.39 % (12869)------------------------------
% 0.17/0.39 % (12869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.39 % (12869)Termination reason: Refutation
% 0.17/0.39
% 0.17/0.39 % (12869)Memory used [KB]: 1851
% 0.17/0.39 % (12869)Time elapsed: 0.033 s
% 0.17/0.39 % (12869)Instructions burned: 71 (million)
% 0.17/0.39 % (12863)Success in time 0.061 s
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