TSTP Solution File: NUM322+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n017.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 18:04:02 EDT 2022
% Result : Theorem 1.50s 0.56s
% Output : Refutation 1.50s
% 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 : 25 ( 12 ~; 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(f956,plain,
$false,
inference(resolution,[],[f942,f728]) ).
fof(f728,plain,
! [X0] : ~ sum(n5,nn5,X0),
inference(cnf_transformation,[],[f460]) ).
fof(f460,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/sandbox2/benchmark/theBenchmark.p',sum_n5_nn5_what) ).
fof(f942,plain,
sum(n5,nn5,n0),
inference(resolution,[],[f909,f709]) ).
fof(f709,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/sandbox2/benchmark/theBenchmark.p',rdnn5) ).
fof(f909,plain,
! [X4] :
( ~ rdn_translate(X4,rdn_neg(rdnn(n5)))
| sum(n5,X4,n0) ),
inference(resolution,[],[f661,f634]) ).
fof(f634,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/sandbox2/benchmark/theBenchmark.p',rdn5) ).
fof(f661,plain,
! [X2,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X0,rdn_neg(X2))
| sum(X1,X0,n0) ),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0,X1,X2] :
( sum(X1,X0,n0)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(rectify,[],[f462]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sum(X0,X2,n0)
| ~ rdn_translate(X2,rdn_neg(X1))
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(flattening,[],[f461]) ).
fof(f461,plain,
! [X1,X2,X0] :
( sum(X0,X2,n0)
| ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(ennf_transformation,[],[f411]) ).
fof(f411,plain,
! [X1,X2,X0] :
( ( rdn_translate(X0,rdn_pos(X1))
& rdn_translate(X2,rdn_neg(X1)) )
=> sum(X0,X2,n0) ),
inference(rectify,[],[f291]) ).
fof(f291,axiom,
! [X12,X9,X13] :
( ( rdn_translate(X13,rdn_neg(X9))
& rdn_translate(X12,rdn_pos(X9)) )
=> sum(X12,X13,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
%------------------------------------------------------------------------------
%----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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.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 05:46:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (24538)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (24547)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (24555)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (24546)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (24531)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (24535)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24532)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24549)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (24541)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (24529)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24530)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (24553)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (24533)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54 % (24548)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.38/0.54 % (24528)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.54 % (24552)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.54 % (24526)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.38/0.54 % (24534)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.54 % (24536)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.54 % (24534)Instruction limit reached!
% 1.38/0.54 % (24534)------------------------------
% 1.38/0.54 % (24534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (24534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (24534)Termination reason: Unknown
% 1.38/0.54 % (24534)Termination phase: Unused predicate definition removal
% 1.38/0.54 % (24527)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.54
% 1.38/0.54 % (24534)Memory used [KB]: 1279
% 1.38/0.54 % (24534)Time elapsed: 0.004 s
% 1.38/0.54 % (24534)Instructions burned: 2 (million)
% 1.38/0.54 % (24534)------------------------------
% 1.38/0.54 % (24534)------------------------------
% 1.38/0.55 % (24537)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (24555)First to succeed.
% 1.38/0.55 % (24545)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (24544)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55 % (24533)Instruction limit reached!
% 1.38/0.55 % (24533)------------------------------
% 1.38/0.55 % (24533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (24533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (24533)Termination reason: Unknown
% 1.38/0.55 % (24533)Termination phase: Property scanning
% 1.38/0.55
% 1.38/0.55 % (24533)Memory used [KB]: 1279
% 1.38/0.55 % (24533)Time elapsed: 0.009 s
% 1.38/0.55 % (24533)Instructions burned: 9 (million)
% 1.38/0.55 % (24533)------------------------------
% 1.38/0.55 % (24533)------------------------------
% 1.38/0.55 % (24551)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.56 % (24554)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.56 % (24555)Refutation found. Thanks to Tanya!
% 1.50/0.56 % SZS status Theorem for theBenchmark
% 1.50/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56 % (24555)------------------------------
% 1.50/0.56 % (24555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (24555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (24555)Termination reason: Refutation
% 1.50/0.56
% 1.50/0.56 % (24555)Memory used [KB]: 6268
% 1.50/0.56 % (24555)Time elapsed: 0.137 s
% 1.50/0.56 % (24555)Instructions burned: 24 (million)
% 1.50/0.56 % (24555)------------------------------
% 1.50/0.56 % (24555)------------------------------
% 1.50/0.56 % (24525)Success in time 0.208 s
%------------------------------------------------------------------------------