TSTP Solution File: NUM571+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 : Wed Aug 31 18:05:52 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 70 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 17 ~; 14 |; 27 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f534,plain,
$false,
inference(subsumption_resolution,[],[f533,f520]) ).
fof(f520,plain,
aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0),
inference(backward_demodulation,[],[f410,f420]) ).
fof(f420,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( aFunction0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aElementOf0(X0,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xN) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
( ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) )
& szNzAzT0 = szDzozmdt0(xN)
& xS = sdtlpdtrp0(xN,sz00)
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f410,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f533,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0),
inference(forward_demodulation,[],[f532,f525]) ).
fof(f525,plain,
sz00 = xi,
inference(subsumption_resolution,[],[f524,f389]) ).
fof(f389,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| sz00 = xi ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( sz00 = xi
| ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi))
& xi = szszuzczcdt0(sK16)
& aElementOf0(sK16,szNzAzT0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f143,f264]) ).
fof(f264,plain,
( ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) )
=> ( xi = szszuzczcdt0(sK16)
& aElementOf0(sK16,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( sz00 = xi
| ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi))
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
( sz00 != xi
=> ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi))
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3702_02) ).
fof(f524,plain,
( sz00 = xi
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[],[f478,f388]) ).
fof(f388,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| sz00 = xi ),
inference(cnf_transformation,[],[f265]) ).
fof(f478,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(negated_conjecture,[],[f85]) ).
fof(f85,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f532,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(subsumption_resolution,[],[f531,f521]) ).
fof(f521,plain,
isCountable0(sdtlpdtrp0(xN,sz00)),
inference(backward_demodulation,[],[f411,f420]) ).
fof(f411,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f531,plain,
( ~ isCountable0(sdtlpdtrp0(xN,sz00))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(backward_demodulation,[],[f478,f525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 07:18:13 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.46 % (3182)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)
% 0.16/0.47 % (3198)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)
% 0.16/0.48 % (3200)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.48 % (3191)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)
% 0.16/0.49 % (3190)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)
% 0.16/0.49 % (3176)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)
% 0.16/0.49 % (3183)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51 % (3183)Instruction limit reached!
% 0.16/0.51 % (3183)------------------------------
% 0.16/0.51 % (3183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (3183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (3183)Termination reason: Unknown
% 0.16/0.51 TRYING [1]
% 0.16/0.51 % (3183)Termination phase: Saturation
% 0.16/0.51 % (3180)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51
% 0.16/0.51 % (3183)Memory used [KB]: 1151
% 0.16/0.51 % (3183)Time elapsed: 0.010 s
% 0.16/0.51 % (3183)Instructions burned: 8 (million)
% 0.16/0.51 % (3183)------------------------------
% 0.16/0.51 % (3183)------------------------------
% 0.16/0.51 % (3198)First to succeed.
% 0.16/0.51 % (3198)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (3198)------------------------------
% 0.16/0.51 % (3198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (3198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (3198)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (3198)Memory used [KB]: 1279
% 0.16/0.51 % (3198)Time elapsed: 0.126 s
% 0.16/0.51 % (3198)Instructions burned: 10 (million)
% 0.16/0.51 % (3198)------------------------------
% 0.16/0.51 % (3198)------------------------------
% 0.16/0.51 % (3175)Success in time 0.189 s
%------------------------------------------------------------------------------