TSTP Solution File: NUM606+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM606+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 : n010.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 18:01:10 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 112 ( 1 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 131 ( 52 ~; 44 |; 26 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f849,plain,
$false,
inference(subsumption_resolution,[],[f848,f524]) ).
fof(f524,plain,
aSet0(xS),
inference(unit_resulting_resolution,[],[f285,f422,f323]) ).
fof(f323,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK8(X0,X1),X0)
& aElementOf0(sK8(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) )
=> ( ~ aElementOf0(sK8(X0,X1),X0)
& aElementOf0(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X3] :
( ~ aElementOf0(X3,X0)
& aElementOf0(X3,X1) ) ) ) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) ) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) )
& ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
<=> aSubsetOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f422,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f285,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f848,plain,
~ aSet0(xS),
inference(unit_resulting_resolution,[],[f409,f285,f422,f368,f845,f399]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X0,X2)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1,X2] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X2,X1)
| aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSubsetOf0(X1,X0)
| aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X2,X1,X0] :
( aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X2,X1,X0] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X2,X1) )
=> aSubsetOf0(X2,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1,X0] :
( ( aSet0(X1)
& aSet0(X0)
& aSet0(X2) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X2) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f845,plain,
~ aSubsetOf0(xO,szNzAzT0),
inference(unit_resulting_resolution,[],[f285,f409,f330,f328,f483,f399]) ).
fof(f483,plain,
aSet0(xQ),
inference(unit_resulting_resolution,[],[f409,f328,f323]) ).
fof(f328,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f330,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
~ aSubsetOf0(xQ,szNzAzT0),
inference(flattening,[],[f102]) ).
fof(f102,negated_conjecture,
~ aSubsetOf0(xQ,szNzAzT0),
inference(negated_conjecture,[],[f101]) ).
fof(f101,conjecture,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f368,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f98]) ).
fof(f98,axiom,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(f409,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM606+1 : 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
% 0.12/0.34 % Computer : n010.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 07:12:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (27438)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 % (27419)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)
% 0.20/0.51 % (27417)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)
% 0.20/0.51 % (27423)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)
% 0.20/0.52 % (27440)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)
% 0.20/0.52 % (27429)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 % (27418)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)
% 0.20/0.52 % (27427)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)
% 0.20/0.52 % (27422)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)
% 0.20/0.52 % (27425)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)
% 0.20/0.53 % (27427)Instruction limit reached!
% 0.20/0.53 % (27427)------------------------------
% 0.20/0.53 % (27427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27444)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)
% 0.20/0.53 % (27428)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)
% 0.20/0.53 % (27443)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 % (27421)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)
% 0.20/0.53 % (27418)Instruction limit reached!
% 0.20/0.53 % (27418)------------------------------
% 0.20/0.53 % (27418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27418)Termination reason: Unknown
% 0.20/0.53 % (27418)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (27418)Memory used [KB]: 1663
% 0.20/0.53 % (27418)Time elapsed: 0.004 s
% 0.20/0.53 % (27418)Instructions burned: 3 (million)
% 0.20/0.53 % (27418)------------------------------
% 0.20/0.53 % (27418)------------------------------
% 0.20/0.53 % (27416)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (27434)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)
% 0.20/0.53 % (27427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27427)Termination reason: Unknown
% 0.20/0.53 % (27427)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (27427)Memory used [KB]: 1791
% 0.20/0.53 % (27427)Time elapsed: 0.005 s
% 0.20/0.53 % (27427)Instructions burned: 7 (million)
% 0.20/0.53 % (27434)Instruction limit reached!
% 0.20/0.53 % (27434)------------------------------
% 0.20/0.53 % (27434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27434)Termination reason: Unknown
% 0.20/0.53 % (27434)Termination phase: SInE selection
% 0.20/0.53
% 0.20/0.53 % (27434)Memory used [KB]: 1535
% 0.20/0.53 % (27434)Time elapsed: 0.002 s
% 0.20/0.53 % (27434)Instructions burned: 2 (million)
% 0.20/0.53 % (27434)------------------------------
% 0.20/0.53 % (27434)------------------------------
% 0.20/0.53 % (27427)------------------------------
% 0.20/0.53 % (27427)------------------------------
% 0.20/0.54 % (27419)First to succeed.
% 0.20/0.54 % (27437)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)
% 0.20/0.54 % (27417)Instruction limit reached!
% 0.20/0.54 % (27417)------------------------------
% 0.20/0.54 % (27417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (27417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (27417)Termination reason: Unknown
% 0.20/0.54 % (27417)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (27417)Memory used [KB]: 6396
% 0.20/0.54 % (27417)Time elapsed: 0.008 s
% 0.20/0.54 % (27417)Instructions burned: 13 (million)
% 0.20/0.54 % (27417)------------------------------
% 0.20/0.54 % (27417)------------------------------
% 0.20/0.54 % (27432)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)
% 0.20/0.54 % (27433)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (27419)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 % (27419)------------------------------
% 0.20/0.54 % (27419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (27419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (27419)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (27419)Memory used [KB]: 6908
% 0.20/0.54 % (27419)Time elapsed: 0.128 s
% 0.20/0.54 % (27419)Instructions burned: 30 (million)
% 0.20/0.54 % (27419)------------------------------
% 0.20/0.54 % (27419)------------------------------
% 0.20/0.54 % (27412)Success in time 0.191 s
%------------------------------------------------------------------------------