TSTP Solution File: NUM613+3 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM613+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 13:16:00 EDT 2024
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 51 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 18 |; 4 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3388,plain,
$false,
inference(subsumption_resolution,[],[f3381,f1321]) ).
fof(f1321,plain,
sQ155_eqProxy(sbrdtbr0(xQ),szszuzczcdt0(sbrdtbr0(xP))),
inference(equality_proxy_replacement,[],[f893,f1273]) ).
fof(f1273,plain,
! [X0,X1] :
( sQ155_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ155_eqProxy])]) ).
fof(f893,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
& szszuzczcdt0(xk) = sbrdtbr0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3381,plain,
~ sQ155_eqProxy(sbrdtbr0(xQ),szszuzczcdt0(sbrdtbr0(xP))),
inference(resolution,[],[f1848,f1322]) ).
fof(f1322,plain,
sQ155_eqProxy(szszuzczcdt0(xk),sbrdtbr0(xQ)),
inference(equality_proxy_replacement,[],[f892,f1273]) ).
fof(f892,plain,
szszuzczcdt0(xk) = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f109]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ155_eqProxy(szszuzczcdt0(xk),X0)
| ~ sQ155_eqProxy(X0,szszuzczcdt0(sbrdtbr0(xP))) ),
inference(resolution,[],[f1572,f1431]) ).
fof(f1431,plain,
! [X2,X0,X1] :
( sQ155_eqProxy(X0,X2)
| ~ sQ155_eqProxy(X1,X2)
| ~ sQ155_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f1273]) ).
fof(f1572,plain,
~ sQ155_eqProxy(szszuzczcdt0(xk),szszuzczcdt0(sbrdtbr0(xP))),
inference(subsumption_resolution,[],[f1571,f885]) ).
fof(f885,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1571,plain,
( ~ sQ155_eqProxy(szszuzczcdt0(xk),szszuzczcdt0(sbrdtbr0(xP)))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(subsumption_resolution,[],[f1556,f894]) ).
fof(f894,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf_transformation,[],[f109]) ).
fof(f1556,plain,
( ~ sQ155_eqProxy(szszuzczcdt0(xk),szszuzczcdt0(sbrdtbr0(xP)))
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f1274,f1425]) ).
fof(f1425,plain,
! [X0,X1] :
( sQ155_eqProxy(X0,X1)
| ~ sQ155_eqProxy(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f1259,f1273,f1273]) ).
fof(f1259,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1274,plain,
~ sQ155_eqProxy(xk,sbrdtbr0(xP)),
inference(equality_proxy_replacement,[],[f743,f1273]) ).
fof(f743,plain,
xk != sbrdtbr0(xP),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
xk != sbrdtbr0(xP),
inference(flattening,[],[f111]) ).
fof(f111,negated_conjecture,
xk != sbrdtbr0(xP),
inference(negated_conjecture,[],[f110]) ).
fof(f110,conjecture,
xk = sbrdtbr0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM613+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Jun 23 02:57:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.34 Running first-order theorem proving
% 0.11/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29741)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29742)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29740)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29738)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29737)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29736)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.41 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (29739)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.46 % (29740)Instruction limit reached!
% 0.20/0.46 % (29740)------------------------------
% 0.20/0.46 % (29740)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (29740)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (29740)Termination reason: Time limit
% 0.20/0.46 % (29740)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (29740)Memory used [KB]: 2416
% 0.20/0.46 % (29740)Time elapsed: 0.059 s
% 0.20/0.46 % (29740)Instructions burned: 110 (million)
% 0.20/0.47 % (29742)Instruction limit reached!
% 0.20/0.47 % (29742)------------------------------
% 0.20/0.47 % (29742)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (29742)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (29742)Termination reason: Time limit
% 0.20/0.47 % (29742)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (29742)Memory used [KB]: 2907
% 0.20/0.47 % (29742)Time elapsed: 0.066 s
% 0.20/0.47 % (29742)Instructions burned: 124 (million)
% 0.20/0.48 % (29741)Instruction limit reached!
% 0.20/0.48 % (29741)------------------------------
% 0.20/0.48 % (29741)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (29741)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (29741)Termination reason: Time limit
% 0.20/0.48 % (29741)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (29741)Memory used [KB]: 3412
% 0.20/0.48 % (29741)Time elapsed: 0.077 s
% 0.20/0.48 % (29741)Instructions burned: 132 (million)
% 0.20/0.51 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (29743)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.20/0.52 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (29744)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.20/0.53 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (29745)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.20/0.55 % (29743)First to succeed.
% 0.20/0.55 % (29743)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29735"
% 0.20/0.56 % (29735)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.56 % (29743)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 % (29743)------------------------------
% 0.20/0.56 % (29743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (29743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (29743)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (29743)Memory used [KB]: 2641
% 0.20/0.56 % (29743)Time elapsed: 0.041 s
% 0.20/0.56 % (29743)Instructions burned: 79 (million)
% 0.20/0.56 % (29743)------------------------------
% 0.20/0.56 % (29743)------------------------------
% 0.20/0.56 % (29735)Success in time 0.189 s
%------------------------------------------------------------------------------