TSTP Solution File: NUM568+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM568+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 : n007.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 18:00:39 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 49 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 18 ~; 19 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f569,plain,
$false,
inference(subsumption_resolution,[],[f568,f237]) ).
fof(f237,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
sz00 != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3520) ).
fof(f568,plain,
sz00 = xK,
inference(subsumption_resolution,[],[f567,f304]) ).
fof(f304,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f567,plain,
( ~ aElementOf0(xK,szNzAzT0)
| sz00 = xK ),
inference(equality_resolution,[],[f566]) ).
fof(f566,plain,
! [X1] :
( xK != X1
| sz00 = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(subsumption_resolution,[],[f554,f269]) ).
fof(f269,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f121,f191]) ).
fof(f191,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK12(X0)) = X0
& aElementOf0(sK12(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
fof(f554,plain,
! [X1] :
( sz00 = X1
| xK != X1
| ~ aElementOf0(sK12(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(superposition,[],[f318,f270]) ).
fof(f270,plain,
! [X0] :
( szszuzczcdt0(sK12(X0)) = X0
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f192]) ).
fof(f318,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xK ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : n007.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 07:06:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (12751)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)
% 0.20/0.46 % (12743)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)
% 0.20/0.48 % (12743)Instruction limit reached!
% 0.20/0.48 % (12743)------------------------------
% 0.20/0.48 % (12743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (12735)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)
% 0.20/0.48 % (12743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (12743)Termination reason: Unknown
% 0.20/0.48 % (12743)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (12743)Memory used [KB]: 1791
% 0.20/0.48 % (12743)Time elapsed: 0.009 s
% 0.20/0.48 % (12743)Instructions burned: 9 (million)
% 0.20/0.48 % (12743)------------------------------
% 0.20/0.48 % (12743)------------------------------
% 0.20/0.50 % (12757)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)
% 0.20/0.51 % (12749)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (12733)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)
% 0.20/0.51 % (12752)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)
% 0.20/0.51 % (12741)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)
% 0.20/0.52 % (12732)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 % (12744)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (12729)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (12728)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (12742)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)
% 0.20/0.52 % (12742)Instruction limit reached!
% 0.20/0.52 % (12742)------------------------------
% 0.20/0.52 % (12742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12742)Termination reason: Unknown
% 0.20/0.52 % (12742)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (12742)Memory used [KB]: 1535
% 0.20/0.52 % (12742)Time elapsed: 0.002 s
% 0.20/0.52 % (12742)Instructions burned: 3 (million)
% 0.20/0.52 % (12742)------------------------------
% 0.20/0.52 % (12742)------------------------------
% 0.20/0.52 % (12736)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)
% 0.20/0.53 % (12734)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 % (12735)Instruction limit reached!
% 0.20/0.53 % (12735)------------------------------
% 0.20/0.53 % (12735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12735)Termination reason: Unknown
% 0.20/0.53 % (12735)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12735)Memory used [KB]: 7036
% 0.20/0.53 % (12735)Time elapsed: 0.107 s
% 0.20/0.53 % (12735)Instructions burned: 39 (million)
% 0.20/0.53 % (12735)------------------------------
% 0.20/0.53 % (12735)------------------------------
% 0.20/0.53 % (12730)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)
% 0.20/0.53 % (12731)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)
% 0.20/0.53 % (12730)Instruction limit reached!
% 0.20/0.53 % (12730)------------------------------
% 0.20/0.53 % (12730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12730)Termination reason: Unknown
% 0.20/0.53 % (12730)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (12730)Memory used [KB]: 1535
% 0.20/0.53 % (12730)Time elapsed: 0.003 s
% 0.20/0.53 % (12730)Instructions burned: 4 (million)
% 0.20/0.53 % (12730)------------------------------
% 0.20/0.53 % (12730)------------------------------
% 0.20/0.53 % (12753)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)
% 0.20/0.53 % (12733)Instruction limit reached!
% 0.20/0.53 % (12733)------------------------------
% 0.20/0.53 % (12733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12733)Termination reason: Unknown
% 0.20/0.53 % (12733)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12733)Memory used [KB]: 1918
% 0.20/0.53 % (12733)Time elapsed: 0.112 s
% 0.20/0.53 % (12733)Instructions burned: 16 (million)
% 0.20/0.53 % (12733)------------------------------
% 0.20/0.53 % (12733)------------------------------
% 0.20/0.53 % (12754)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)
% 0.20/0.53 % (12751)Instruction limit reached!
% 0.20/0.53 % (12751)------------------------------
% 0.20/0.53 % (12751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12756)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (12750)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)
% 0.20/0.54 % (12734)First to succeed.
% 0.20/0.54 % (12751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12751)Termination reason: Unknown
% 0.20/0.54 % (12751)Termination phase: Saturation
% 0.20/0.54 % (12757)Instruction limit reached!
% 0.20/0.54 % (12757)------------------------------
% 0.20/0.54 % (12757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12757)Termination reason: Unknown
% 0.20/0.54 % (12757)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (12757)Memory used [KB]: 2558
% 0.20/0.54 % (12757)Time elapsed: 0.013 s
% 0.20/0.54 % (12757)Instructions burned: 25 (million)
% 0.20/0.54 % (12757)------------------------------
% 0.20/0.54 % (12757)------------------------------
% 0.20/0.54
% 0.20/0.54 % (12751)Memory used [KB]: 2558
% 0.20/0.54 % (12751)Time elapsed: 0.121 s
% 0.20/0.54 % (12751)Instructions burned: 46 (million)
% 0.20/0.54 % (12751)------------------------------
% 0.20/0.54 % (12751)------------------------------
% 0.20/0.54 % (12746)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (12755)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (12756)Instruction limit reached!
% 0.20/0.54 % (12756)------------------------------
% 0.20/0.54 % (12756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12756)Termination reason: Unknown
% 0.20/0.54 % (12756)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (12756)Memory used [KB]: 1791
% 0.20/0.54 % (12756)Time elapsed: 0.004 s
% 0.20/0.54 % (12756)Instructions burned: 8 (million)
% 0.20/0.54 % (12756)------------------------------
% 0.20/0.54 % (12756)------------------------------
% 0.20/0.54 % (12746)Instruction limit reached!
% 0.20/0.54 % (12746)------------------------------
% 0.20/0.54 % (12746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12746)Termination reason: Unknown
% 0.20/0.54 % (12746)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (12746)Memory used [KB]: 1535
% 0.20/0.54 % (12746)Time elapsed: 0.002 s
% 0.20/0.54 % (12746)Instructions burned: 3 (million)
% 0.20/0.54 % (12746)------------------------------
% 0.20/0.54 % (12746)------------------------------
% 0.20/0.54 % (12734)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (12734)------------------------------
% 0.20/0.54 % (12734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12734)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (12734)Memory used [KB]: 6268
% 0.20/0.54 % (12734)Time elapsed: 0.132 s
% 0.20/0.54 % (12734)Instructions burned: 14 (million)
% 0.20/0.54 % (12734)------------------------------
% 0.20/0.54 % (12734)------------------------------
% 0.20/0.54 % (12727)Success in time 0.177 s
%------------------------------------------------------------------------------