TSTP Solution File: NUM560+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM560+2 : 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 : n009.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 18:00:35 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 81 ( 13 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 90 ( 28 ~; 14 |; 36 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 13 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f450,plain,
$false,
inference(subsumption_resolution,[],[f449,f427]) ).
fof(f427,plain,
aElementOf0(sK14,sF18),
inference(definition_folding,[],[f369,f419]) ).
fof(f419,plain,
sdtlbdtrb0(xF,xy) = sF18,
introduced(function_definition,[]) ).
fof(f369,plain,
aElementOf0(sK14,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( aSet0(sdtlbdtrb0(xF,xy))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aElementOf0(sK14,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(sK14,szDzozmdt0(xF)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f248,f249]) ).
fof(f249,plain,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
=> ( aElementOf0(sK14,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(sK14,szDzozmdt0(xF)) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( aSet0(sdtlbdtrb0(xF,xy))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) ) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
( aSet0(sdtlbdtrb0(xF,xy))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
( aSet0(sdtlbdtrb0(xF,xy))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(rectify,[],[f69]) ).
fof(f69,negated_conjecture,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) ) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) ) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f449,plain,
~ aElementOf0(sK14,sF18),
inference(resolution,[],[f426,f428]) ).
fof(f428,plain,
~ aElementOf0(sK14,sF19),
inference(definition_folding,[],[f368,f421]) ).
fof(f421,plain,
szDzozmdt0(xF) = sF19,
introduced(function_definition,[]) ).
fof(f368,plain,
~ aElementOf0(sK14,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f250]) ).
fof(f426,plain,
! [X0] :
( aElementOf0(X0,sF19)
| ~ aElementOf0(X0,sF18) ),
inference(definition_folding,[],[f370,f419,f421]) ).
fof(f370,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xF))
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ),
inference(cnf_transformation,[],[f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.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 : Tue Aug 30 07:00:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (22111)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)
% 0.19/0.51 % (22095)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)
% 0.19/0.51 % (22090)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (22088)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (22099)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)
% 0.19/0.51 % (22088)First to succeed.
% 0.19/0.51 % (22092)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)
% 0.19/0.51 % (22114)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)
% 0.19/0.51 % (22099)Instruction limit reached!
% 0.19/0.51 % (22099)------------------------------
% 0.19/0.51 % (22099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (22099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22099)Termination reason: Unknown
% 0.19/0.51 % (22099)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (22099)Memory used [KB]: 6140
% 0.19/0.51 % (22099)Time elapsed: 0.005 s
% 0.19/0.51 % (22099)Instructions burned: 8 (million)
% 0.19/0.51 % (22099)------------------------------
% 0.19/0.51 % (22099)------------------------------
% 0.19/0.51 % (22103)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (22110)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)
% 0.19/0.52 % (22102)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)
% 0.19/0.52 % (22117)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (22111)Also succeeded, but the first one will report.
% 0.19/0.52 % (22112)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (22098)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (22100)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52 % (22094)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)
% 0.19/0.52 % (22102)Instruction limit reached!
% 0.19/0.52 % (22102)------------------------------
% 0.19/0.52 % (22102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (22102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (22102)Termination reason: Unknown
% 0.19/0.52 % (22102)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (22102)Memory used [KB]: 1663
% 0.19/0.52 % (22102)Time elapsed: 0.006 s
% 0.19/0.52 % (22102)Instructions burned: 4 (million)
% 0.19/0.52 % (22102)------------------------------
% 0.19/0.52 % (22102)------------------------------
% 0.19/0.52 % (22096)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)
% 0.19/0.53 % (22090)Instruction limit reached!
% 0.19/0.53 % (22090)------------------------------
% 0.19/0.53 % (22090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22090)Termination reason: Unknown
% 0.19/0.53 % (22090)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (22090)Memory used [KB]: 1663
% 0.19/0.53 % (22090)Time elapsed: 0.004 s
% 0.19/0.53 % (22090)Instructions burned: 4 (million)
% 0.19/0.53 % (22090)------------------------------
% 0.19/0.53 % (22090)------------------------------
% 0.19/0.53 % (22091)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)
% 0.19/0.53 % (22088)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (22088)------------------------------
% 0.19/0.53 % (22088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22088)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (22088)Memory used [KB]: 6140
% 0.19/0.53 % (22088)Time elapsed: 0.118 s
% 0.19/0.53 % (22088)Instructions burned: 7 (million)
% 0.19/0.53 % (22088)------------------------------
% 0.19/0.53 % (22088)------------------------------
% 0.19/0.53 % (22087)Success in time 0.184 s
%------------------------------------------------------------------------------