TSTP Solution File: NUM606+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM606+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 08:39:43 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 56 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 14 ~; 8 |; 22 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1056,plain,
$false,
inference(subsumption_resolution,[],[f1055,f549]) ).
fof(f549,plain,
~ aElementOf0(sK48,szNzAzT0),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ~ aElementOf0(sK48,szNzAzT0)
& aElementOf0(sK48,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f123,f320]) ).
fof(f320,plain,
( ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xQ) )
=> ( ~ aElementOf0(sK48,szNzAzT0)
& aElementOf0(sK48,xQ) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ~ aSubsetOf0(xQ,szNzAzT0)
& ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xQ) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,negated_conjecture,
~ ( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negated_conjecture,[],[f101]) ).
fof(f101,conjecture,
( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1055,plain,
aElementOf0(sK48,szNzAzT0),
inference(resolution,[],[f1053,f661]) ).
fof(f661,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f1053,plain,
aElementOf0(sK48,xS),
inference(resolution,[],[f680,f1048]) ).
fof(f1048,plain,
aElementOf0(sK48,xO),
inference(resolution,[],[f643,f548]) ).
fof(f548,plain,
aElementOf0(sK48,xQ),
inference(cnf_transformation,[],[f321]) ).
fof(f643,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(f680,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM606+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 15:22:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (17740)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (17743)WARNING: value z3 for option sas not known
% 0.13/0.37 % (17741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (17744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (17743)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)
% 0.13/0.37 % (17745)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)
% 0.13/0.37 % (17747)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)
% 0.13/0.37 % (17746)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)
% 0.13/0.39 % (17743)First to succeed.
% 0.13/0.39 % (17743)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17740"
% 0.13/0.39 % (17746)Also succeeded, but the first one will report.
% 0.13/0.39 % (17743)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (17743)------------------------------
% 0.13/0.39 % (17743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (17743)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (17743)Memory used [KB]: 1629
% 0.13/0.39 % (17743)Time elapsed: 0.023 s
% 0.13/0.39 % (17743)Instructions burned: 37 (million)
% 0.13/0.39 % (17740)Success in time 0.047 s
%------------------------------------------------------------------------------