TSTP Solution File: NUM615+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM615+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_uns --cores 0 -t %d %s
% Computer : n013.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 18:01:14 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 34 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 9 |; 6 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f596,plain,
$false,
inference(subsumption_resolution,[],[f595,f266]) ).
fof(f266,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f106]) ).
fof(f106,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(f595,plain,
~ aElementOf0(xp,xO),
inference(duplicate_literal_removal,[],[f594]) ).
fof(f594,plain,
( ~ aElementOf0(xp,xO)
| ~ aElementOf0(xp,xO) ),
inference(resolution,[],[f593,f490]) ).
fof(f490,plain,
! [X0] :
( sQ25_eqProxy(sdtlpdtrp0(xe,sK4(X0)),X0)
| ~ aElementOf0(X0,xO) ),
inference(equality_proxy_replacement,[],[f289,f466]) ).
fof(f466,plain,
! [X0,X1] :
( sQ25_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ25_eqProxy])]) ).
fof(f289,plain,
! [X0] :
( sdtlpdtrp0(xe,sK4(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,szNzAzT0) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(f593,plain,
! [X0] :
( ~ sQ25_eqProxy(sdtlpdtrp0(xe,sK4(X0)),xp)
| ~ aElementOf0(X0,xO) ),
inference(resolution,[],[f290,f481]) ).
fof(f481,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ sQ25_eqProxy(sdtlpdtrp0(xe,X0),xp) ),
inference(equality_proxy_replacement,[],[f277,f466]) ).
fof(f277,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X0) != xp ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X0) = xp ),
inference(negated_conjecture,[],[f111]) ).
fof(f111,conjecture,
? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X0) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f290,plain,
! [X0] :
( aElementOf0(sK4(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM615+1 : 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
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 07:19:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (16562)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)
% 0.19/0.49 % (16558)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)
% 0.19/0.49 % (16562)Instruction limit reached!
% 0.19/0.49 % (16562)------------------------------
% 0.19/0.49 % (16562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16558)Instruction limit reached!
% 0.19/0.50 % (16558)------------------------------
% 0.19/0.50 % (16558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16562)Termination reason: Unknown
% 0.19/0.50 % (16562)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (16562)Memory used [KB]: 1791
% 0.19/0.50 % (16562)Time elapsed: 0.005 s
% 0.19/0.50 % (16562)Instructions burned: 9 (million)
% 0.19/0.50 % (16562)------------------------------
% 0.19/0.50 % (16562)------------------------------
% 0.19/0.50 % (16558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16558)Termination reason: Unknown
% 0.19/0.50 % (16558)Termination phase: Equality resolution with deletion
% 0.19/0.50
% 0.19/0.50 % (16558)Memory used [KB]: 1791
% 0.19/0.50 % (16558)Time elapsed: 0.005 s
% 0.19/0.50 % (16558)Instructions burned: 8 (million)
% 0.19/0.50 % (16558)------------------------------
% 0.19/0.50 % (16558)------------------------------
% 0.19/0.50 % (16560)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)
% 0.19/0.51 % (16570)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 % (16550)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)
% 0.19/0.51 % (16551)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 % (16553)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)
% 0.19/0.51 % (16547)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (16556)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)
% 0.19/0.52 % (16571)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 % (16569)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 % (16552)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)
% 0.19/0.52 % (16554)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)
% 0.19/0.52 % (16549)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)
% 0.19/0.52 % (16548)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)
% 0.19/0.52 % (16549)Instruction limit reached!
% 0.19/0.52 % (16549)------------------------------
% 0.19/0.52 % (16549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16549)Termination reason: Unknown
% 0.19/0.52 % (16549)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (16549)Memory used [KB]: 1535
% 0.19/0.52 % (16549)Time elapsed: 0.003 s
% 0.19/0.52 % (16549)Instructions burned: 3 (million)
% 0.19/0.52 % (16549)------------------------------
% 0.19/0.52 % (16549)------------------------------
% 0.19/0.52 % (16566)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (16574)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)
% 0.19/0.53 % (16561)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)
% 0.19/0.53 % (16548)Instruction limit reached!
% 0.19/0.53 % (16548)------------------------------
% 0.19/0.53 % (16548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16548)Termination reason: Unknown
% 0.19/0.53 % (16548)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16548)Memory used [KB]: 6396
% 0.19/0.53 % (16548)Time elapsed: 0.007 s
% 0.19/0.53 % (16548)Instructions burned: 13 (million)
% 0.19/0.53 % (16548)------------------------------
% 0.19/0.53 % (16548)------------------------------
% 0.19/0.53 % (16561)Instruction limit reached!
% 0.19/0.53 % (16561)------------------------------
% 0.19/0.53 % (16561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16561)Termination reason: Unknown
% 0.19/0.53 % (16561)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (16561)Memory used [KB]: 1663
% 0.19/0.53 % (16561)Time elapsed: 0.003 s
% 0.19/0.53 % (16561)Instructions burned: 3 (million)
% 0.19/0.53 % (16561)------------------------------
% 0.19/0.53 % (16561)------------------------------
% 0.19/0.53 % (16565)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)
% 0.19/0.53 % (16572)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)
% 0.19/0.53 % (16559)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)
% 0.19/0.53 % (16564)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (16573)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)
% 0.19/0.53 % (16567)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (16576)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)
% 0.19/0.54 % (16551)Instruction limit reached!
% 0.19/0.54 % (16551)------------------------------
% 0.19/0.54 % (16551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16551)Termination reason: Unknown
% 0.19/0.54 % (16551)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16551)Memory used [KB]: 6396
% 0.19/0.54 % (16551)Time elapsed: 0.008 s
% 0.19/0.54 % (16551)Instructions burned: 14 (million)
% 0.19/0.54 % (16551)------------------------------
% 0.19/0.54 % (16551)------------------------------
% 0.19/0.54 % (16565)Instruction limit reached!
% 0.19/0.54 % (16565)------------------------------
% 0.19/0.54 % (16565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16557)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)
% 0.19/0.54 % (16567)First to succeed.
% 0.19/0.54 % (16563)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)
% 0.19/0.54 % (16568)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)
% 0.19/0.54 % (16555)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)
% 0.19/0.55 % (16569)Also succeeded, but the first one will report.
% 0.19/0.55 % (16566)Instruction limit reached!
% 0.19/0.55 % (16566)------------------------------
% 0.19/0.55 % (16566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16552)Instruction limit reached!
% 0.19/0.55 % (16552)------------------------------
% 0.19/0.55 % (16552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16552)Termination reason: Unknown
% 0.19/0.55 % (16552)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16552)Memory used [KB]: 1918
% 0.19/0.55 % (16552)Time elapsed: 0.142 s
% 0.19/0.55 % (16552)Instructions burned: 15 (million)
% 0.19/0.55 % (16552)------------------------------
% 0.19/0.55 % (16552)------------------------------
% 0.19/0.55 % (16566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16566)Termination reason: Unknown
% 0.19/0.55 % (16566)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (16566)Memory used [KB]: 1791
% 0.19/0.55 % (16566)Time elapsed: 0.009 s
% 0.19/0.55 % (16566)Instructions burned: 12 (million)
% 0.19/0.55 % (16566)------------------------------
% 0.19/0.55 % (16566)------------------------------
% 0.19/0.55 % (16567)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (16567)------------------------------
% 0.19/0.55 % (16567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (16567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (16567)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (16567)Memory used [KB]: 6396
% 0.19/0.55 % (16567)Time elapsed: 0.135 s
% 0.19/0.55 % (16567)Instructions burned: 12 (million)
% 0.19/0.55 % (16567)------------------------------
% 0.19/0.55 % (16567)------------------------------
% 0.19/0.55 % (16546)Success in time 0.197 s
%------------------------------------------------------------------------------