TSTP Solution File: NUM551+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM551+3 : 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_uns --cores 0 -t %d %s
% 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 : Wed Aug 31 18:00:31 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 44 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 9 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(subsumption_resolution,[],[f317,f287]) ).
fof(f287,plain,
~ aElement0(sK1),
inference(resolution,[],[f187,f184]) ).
fof(f184,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f187,plain,
aElementOf0(sK1,xQ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( slcrc0 != xQ
& aElementOf0(sK1,xQ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f97,f141]) ).
fof(f141,plain,
( ? [X0] : aElementOf0(X0,xQ)
=> aElementOf0(sK1,xQ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( slcrc0 != xQ
& ? [X0] : aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
~ ( ~ ? [X0] : aElementOf0(X0,xQ)
| slcrc0 = xQ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2313) ).
fof(f317,plain,
aElement0(sK1),
inference(subsumption_resolution,[],[f312,f194]) ).
fof(f194,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& xk = sbrdtbr0(xQ)
& aSet0(xQ)
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& aSubsetOf0(xQ,xS) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aSubsetOf0(xQ,xS)
& xk = sbrdtbr0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f312,plain,
( ~ aSet0(xQ)
| aElement0(sK1) ),
inference(resolution,[],[f259,f187]) ).
fof(f259,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 07:09:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28478)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (28478)Instruction limit reached!
% 0.20/0.51 % (28478)------------------------------
% 0.20/0.51 % (28478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28461)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (28468)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (28486)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (28478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28478)Termination reason: Unknown
% 0.20/0.51 % (28478)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (28478)Memory used [KB]: 1663
% 0.20/0.51 % (28478)Time elapsed: 0.004 s
% 0.20/0.51 % (28478)Instructions burned: 4 (million)
% 0.20/0.51 % (28478)------------------------------
% 0.20/0.51 % (28478)------------------------------
% 0.20/0.52 % (28470)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (28484)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (28465)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (28464)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (28466)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (28465)First to succeed.
% 0.20/0.53 % (28467)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (28461)Also succeeded, but the first one will report.
% 0.20/0.53 % (28465)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (28465)------------------------------
% 0.20/0.53 % (28465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28465)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (28465)Memory used [KB]: 6140
% 0.20/0.53 % (28465)Time elapsed: 0.116 s
% 0.20/0.53 % (28465)Instructions burned: 7 (million)
% 0.20/0.53 % (28465)------------------------------
% 0.20/0.53 % (28465)------------------------------
% 0.20/0.53 % (28460)Success in time 0.171 s
%------------------------------------------------------------------------------