TSTP Solution File: NUM568+3 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUM568+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n025.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 13:26:19 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 53 ( 20 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 19 ~; 20 |; 5 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1486,plain,
$false,
inference(avatar_sat_refutation,[],[f1459,f1476]) ).
fof(f1476,plain,
~ spl32_65,
inference(avatar_contradiction_clause,[],[f1475]) ).
fof(f1475,plain,
( $false
| ~ spl32_65 ),
inference(subsumption_resolution,[],[f1466,f1394]) ).
fof(f1394,plain,
xK = szszuzczcdt0(sK20(xK)),
inference(subsumption_resolution,[],[f1377,f201]) ).
fof(f201,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1377,plain,
( sz00 = xK
| xK = szszuzczcdt0(sK20(xK)) ),
inference(resolution,[],[f341,f203]) ).
fof(f203,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f341,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| szszuzczcdt0(sK20(X0)) = X0 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1466,plain,
( xK != szszuzczcdt0(sK20(xK))
| ~ spl32_65 ),
inference(resolution,[],[f1433,f200]) ).
fof(f200,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1433,plain,
( aElementOf0(sK20(xK),szNzAzT0)
| ~ spl32_65 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1432,plain,
( spl32_65
<=> aElementOf0(sK20(xK),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).
fof(f1459,plain,
spl32_65,
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| spl32_65 ),
inference(subsumption_resolution,[],[f1457,f203]) ).
fof(f1457,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl32_65 ),
inference(subsumption_resolution,[],[f1456,f201]) ).
fof(f1456,plain,
( sz00 = xK
| ~ aElementOf0(xK,szNzAzT0)
| spl32_65 ),
inference(resolution,[],[f1434,f340]) ).
fof(f340,plain,
! [X0] :
( aElementOf0(sK20(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1434,plain,
( ~ aElementOf0(sK20(xK),szNzAzT0)
| spl32_65 ),
inference(avatar_component_clause,[],[f1432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM568+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 01:51:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (27070)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.20/0.41 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (27067)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.20/0.41 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (27064)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.41 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (27069)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.20/0.41 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (27066)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.42 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (27068)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.42 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (27065)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.20/0.43 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.45 TRYING [3]
% 0.20/0.45 % (27068)First to succeed.
% 0.20/0.45 % (27068)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27063"
% 0.20/0.46 % (27063)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.46 % (27068)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (27068)------------------------------
% 0.20/0.46 % (27068)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (27068)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (27068)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (27068)Memory used [KB]: 1455
% 0.20/0.46 % (27068)Time elapsed: 0.040 s
% 0.20/0.46 % (27068)Instructions burned: 63 (million)
% 0.20/0.46 % (27068)------------------------------
% 0.20/0.46 % (27068)------------------------------
% 0.20/0.46 % (27063)Success in time 0.089 s
%------------------------------------------------------------------------------