TSTP Solution File: NUM594+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM594+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 : 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 18:01:00 EDT 2022
% Result : Theorem 1.61s 0.63s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 70 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 79 ( 28 ~; 17 |; 29 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 13 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f831,plain,
$false,
inference(subsumption_resolution,[],[f830,f815]) ).
fof(f815,plain,
aElementOf0(sK64,szNzAzT0),
inference(forward_demodulation,[],[f758,f451]) ).
fof(f451,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( aFunction0(xd)
& ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ aSet0(X1)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK28(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK28(X0,X1),X1) )
| sbrdtbr0(X1) != xk ) )
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f184,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK28(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK28(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( aFunction0(xd)
& ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ~ aSet0(X1)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) )
| sbrdtbr0(X1) != xk ) )
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) )
| sbrdtbr0(X1) != xk ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& aFunction0(xd)
& szNzAzT0 = szDzozmdt0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( ( ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& aFunction0(xd)
& szNzAzT0 = szDzozmdt0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f758,plain,
aElementOf0(sK64,szDzozmdt0(xd)),
inference(cnf_transformation,[],[f431]) ).
fof(f431,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& xx = sdtlpdtrp0(xd,sK64)
& aElementOf0(sK64,szDzozmdt0(xd)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f94,f430]) ).
fof(f430,plain,
( ? [X0] :
( sdtlpdtrp0(xd,X0) = xx
& aElementOf0(X0,szDzozmdt0(xd)) )
=> ( xx = sdtlpdtrp0(xd,sK64)
& aElementOf0(sK64,szDzozmdt0(xd)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,axiom,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [X0] :
( sdtlpdtrp0(xd,X0) = xx
& aElementOf0(X0,szDzozmdt0(xd)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(f830,plain,
~ aElementOf0(sK64,szNzAzT0),
inference(trivial_inequality_removal,[],[f829]) ).
fof(f829,plain,
( xx != xx
| ~ aElementOf0(sK64,szNzAzT0) ),
inference(superposition,[],[f704,f759]) ).
fof(f759,plain,
xx = sdtlpdtrp0(xd,sK64),
inference(cnf_transformation,[],[f431]) ).
fof(f704,plain,
! [X0] :
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xd,X0) != xx ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,negated_conjecture,
~ ? [X0] :
( sdtlpdtrp0(xd,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f95]) ).
fof(f95,conjecture,
? [X0] :
( sdtlpdtrp0(xd,X0) = xx
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM594+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n009.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 07:13:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.39/0.56 % (12835)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)
% 1.61/0.58 % (12826)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)
% 1.61/0.58 % (12844)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)
% 1.61/0.59 % (12824)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)
% 1.61/0.59 % (12825)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)
% 1.61/0.59 % (12822)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)
% 1.61/0.59 % (12837)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)
% 1.61/0.59 % (12823)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)
% 1.61/0.59 % (12821)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.61/0.59 % (12849)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)
% 1.61/0.59 % (12827)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)
% 1.61/0.59 % (12823)Instruction limit reached!
% 1.61/0.59 % (12823)------------------------------
% 1.61/0.59 % (12823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.59 % (12823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.59 % (12823)Termination reason: Unknown
% 1.61/0.59 % (12823)Termination phase: shuffling
% 1.61/0.59
% 1.61/0.59 % (12823)Memory used [KB]: 1663
% 1.61/0.59 % (12823)Time elapsed: 0.004 s
% 1.61/0.59 % (12823)Instructions burned: 4 (million)
% 1.61/0.59 % (12823)------------------------------
% 1.61/0.59 % (12823)------------------------------
% 1.61/0.60 % (12837)Instruction limit reached!
% 1.61/0.60 % (12837)------------------------------
% 1.61/0.60 % (12837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.60 % (12837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.60 % (12837)Termination reason: Unknown
% 1.61/0.60 % (12837)Termination phase: Preprocessing 3
% 1.61/0.60
% 1.61/0.60 % (12837)Memory used [KB]: 1791
% 1.61/0.60 % (12837)Time elapsed: 0.014 s
% 1.61/0.60 % (12837)Instructions burned: 7 (million)
% 1.61/0.60 % (12837)------------------------------
% 1.61/0.60 % (12837)------------------------------
% 1.61/0.60 % (12831)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)
% 1.61/0.61 % (12830)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)
% 1.61/0.61 % (12836)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)
% 1.61/0.61 % (12826)Instruction limit reached!
% 1.61/0.61 % (12826)------------------------------
% 1.61/0.61 % (12826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61 % (12826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61 % (12826)Termination reason: Unknown
% 1.61/0.61 % (12826)Termination phase: Property scanning
% 1.61/0.61
% 1.61/0.61 % (12826)Memory used [KB]: 2046
% 1.61/0.61 % (12826)Time elapsed: 0.012 s
% 1.61/0.61 % (12826)Instructions burned: 15 (million)
% 1.61/0.61 % (12826)------------------------------
% 1.61/0.61 % (12826)------------------------------
% 1.61/0.61 % (12834)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)
% 1.61/0.61 % (12845)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)
% 1.61/0.61 % (12825)Instruction limit reached!
% 1.61/0.61 % (12825)------------------------------
% 1.61/0.61 % (12825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61 % (12825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61 % (12825)Termination reason: Unknown
% 1.61/0.61 % (12825)Termination phase: Property scanning
% 1.61/0.61
% 1.61/0.61 % (12825)Memory used [KB]: 2942
% 1.61/0.61 % (12825)Time elapsed: 0.010 s
% 1.61/0.61 % (12825)Instructions burned: 13 (million)
% 1.61/0.61 % (12825)------------------------------
% 1.61/0.61 % (12825)------------------------------
% 1.61/0.61 % (12841)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)
% 1.61/0.62 % (12822)Instruction limit reached!
% 1.61/0.62 % (12822)------------------------------
% 1.61/0.62 % (12822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.62 % (12822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.62 % (12822)Termination reason: Unknown
% 1.61/0.62 % (12822)Termination phase: Property scanning
% 1.61/0.62
% 1.61/0.62 % (12822)Memory used [KB]: 1918
% 1.61/0.62 % (12822)Time elapsed: 0.010 s
% 1.61/0.62 % (12822)Instructions burned: 13 (million)
% 1.61/0.62 % (12822)------------------------------
% 1.61/0.62 % (12822)------------------------------
% 1.61/0.62 % (12827)First to succeed.
% 1.61/0.62 % (12848)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)
% 1.61/0.62 % (12851)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)
% 1.61/0.62 % (12852)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)
% 1.61/0.62 % (12847)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)
% 1.61/0.62 % (12846)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)
% 1.61/0.62 % (12842)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)
% 1.61/0.63 % (12843)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)
% 1.61/0.63 % (12839)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.61/0.63 % (12840)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)
% 1.61/0.63 % (12840)Instruction limit reached!
% 1.61/0.63 % (12840)------------------------------
% 1.61/0.63 % (12840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.63 % (12840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.63 % (12840)Termination reason: Unknown
% 1.61/0.63 % (12840)Termination phase: SInE selection
% 1.61/0.63
% 1.61/0.63 % (12840)Memory used [KB]: 1535
% 1.61/0.63 % (12840)Time elapsed: 0.002 s
% 1.61/0.63 % (12840)Instructions burned: 2 (million)
% 1.61/0.63 % (12840)------------------------------
% 1.61/0.63 % (12840)------------------------------
% 1.61/0.63 % (12838)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)
% 1.61/0.63 % (12839)Instruction limit reached!
% 1.61/0.63 % (12839)------------------------------
% 1.61/0.63 % (12839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.63 % (12839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.63 % (12839)Termination reason: Unknown
% 1.61/0.63 % (12839)Termination phase: shuffling
% 1.61/0.63
% 1.61/0.63 % (12839)Memory used [KB]: 1663
% 1.61/0.63 % (12839)Time elapsed: 0.005 s
% 1.61/0.63 % (12839)Instructions burned: 4 (million)
% 1.61/0.63 % (12839)------------------------------
% 1.61/0.63 % (12839)------------------------------
% 1.61/0.63 % (12849)Also succeeded, but the first one will report.
% 1.61/0.63 % (12829)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)
% 1.61/0.63 % (12831)Instruction limit reached!
% 1.61/0.63 % (12831)------------------------------
% 1.61/0.63 % (12831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.63 % (12832)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)
% 1.61/0.63 % (12827)Refutation found. Thanks to Tanya!
% 1.61/0.63 % SZS status Theorem for theBenchmark
% 1.61/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.63 % (12827)------------------------------
% 1.61/0.63 % (12827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.63 % (12827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.63 % (12827)Termination reason: Refutation
% 1.61/0.63
% 1.61/0.63 % (12827)Memory used [KB]: 6524
% 1.61/0.63 % (12827)Time elapsed: 0.117 s
% 1.61/0.63 % (12827)Instructions burned: 21 (million)
% 1.61/0.63 % (12827)------------------------------
% 1.61/0.63 % (12827)------------------------------
% 1.61/0.63 % (12809)Success in time 0.279 s
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