TSTP Solution File: NUM565+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM565+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 : n017.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 18:00:37 EDT 2022
% Result : Theorem 1.42s 0.55s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 112 ( 40 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 124 ( 36 ~; 17 |; 58 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 23 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f468,plain,
$false,
inference(trivial_inequality_removal,[],[f461]) ).
fof(f461,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0),
inference(backward_demodulation,[],[f288,f460]) ).
fof(f460,plain,
slcrc0 = sK8,
inference(subsumption_resolution,[],[f459,f290]) ).
fof(f290,plain,
aSet0(sK8),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( aElementOf0(sK8,slbdtsldtrb0(xS,sz00))
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(sK8,xS)
& sz00 = sbrdtbr0(sK8)
& aSet0(sK8)
& ! [X2] :
( ~ aElementOf0(X2,sK8)
| aElementOf0(X2,xS) )
& sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f194,f195]) ).
fof(f195,plain,
( ? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(X0,xS)
& sz00 = sbrdtbr0(X0)
& aSet0(X0)
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) )
& sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0) )
=> ( aElementOf0(sK8,slbdtsldtrb0(xS,sz00))
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(sK8,xS)
& sz00 = sbrdtbr0(sK8)
& aSet0(sK8)
& ! [X2] :
( ~ aElementOf0(X2,sK8)
| aElementOf0(X2,xS) )
& sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(X0,xS)
& sz00 = sbrdtbr0(X0)
& aSet0(X0)
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xS) )
& sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
? [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(X0,xS)
& sz00 = sbrdtbr0(X0)
& aSet0(X0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
? [X0] :
( sdtlpdtrp0(xc,X0) != sdtlpdtrp0(xc,slcrc0)
& aSet0(slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& aSet0(X0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
~ ! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& aSet0(X0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,negated_conjecture,
~ ! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& aSet0(X0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
! [X0] :
( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& sz00 = sbrdtbr0(X0)
& aSubsetOf0(X0,xS)
& aSet0(X0)
& aElementOf0(X0,slbdtsldtrb0(xS,sz00)) )
=> ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f459,plain,
( ~ aSet0(sK8)
| slcrc0 = sK8 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( ~ aSet0(sK8)
| slcrc0 = sK8
| xK != xK ),
inference(superposition,[],[f379,f383]) ).
fof(f383,plain,
xK = sbrdtbr0(sK8),
inference(definition_unfolding,[],[f291,f371]) ).
fof(f371,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f291,plain,
sz00 = sbrdtbr0(sK8),
inference(cnf_transformation,[],[f196]) ).
fof(f379,plain,
! [X0] :
( sbrdtbr0(X0) != xK
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(definition_unfolding,[],[f272,f371]) ).
fof(f272,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f288,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,sK8),
inference(cnf_transformation,[],[f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM565+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:32:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.52 % (29903)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (29896)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)
% 1.36/0.54 % (29890)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.36/0.54 % (29896)First to succeed.
% 1.36/0.54 % (29913)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)
% 1.36/0.54 % (29897)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)
% 1.36/0.54 % (29898)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.36/0.55 % (29894)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)
% 1.36/0.55 % (29904)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.55 % (29916)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.55 % (29901)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.55 % (29904)Instruction limit reached!
% 1.36/0.55 % (29904)------------------------------
% 1.36/0.55 % (29904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (29904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (29904)Termination reason: Unknown
% 1.36/0.55 % (29904)Termination phase: Naming
% 1.36/0.55
% 1.36/0.55 % (29904)Memory used [KB]: 1535
% 1.36/0.55 % (29904)Time elapsed: 0.002 s
% 1.36/0.55 % (29904)Instructions burned: 3 (million)
% 1.36/0.55 % (29904)------------------------------
% 1.36/0.55 % (29904)------------------------------
% 1.42/0.55 % (29912)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.42/0.55 % (29896)Refutation found. Thanks to Tanya!
% 1.42/0.55 % SZS status Theorem for theBenchmark
% 1.42/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55 % (29896)------------------------------
% 1.42/0.55 % (29896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (29896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (29896)Termination reason: Refutation
% 1.42/0.55
% 1.42/0.55 % (29896)Memory used [KB]: 6268
% 1.42/0.55 % (29896)Time elapsed: 0.113 s
% 1.42/0.55 % (29896)Instructions burned: 11 (million)
% 1.42/0.55 % (29896)------------------------------
% 1.42/0.55 % (29896)------------------------------
% 1.42/0.55 % (29889)Success in time 0.194 s
%------------------------------------------------------------------------------