TSTP Solution File: SEU130+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n020.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 18:26:47 EDT 2022
% Result : Theorem 1.37s 0.55s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 111 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 43 ~; 36 |; 14 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[f300,f312,f315,f359,f366]) ).
fof(f366,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| spl11_5 ),
inference(resolution,[],[f234,f148]) ).
fof(f148,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] : subset(set_intersection2(X1,X0),X1),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X0] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f234,plain,
( ~ subset(set_intersection2(sK0,sK1),sK0)
| spl11_5 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl11_5
<=> subset(set_intersection2(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f359,plain,
spl11_8,
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| spl11_8 ),
inference(resolution,[],[f311,f176]) ).
fof(f176,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f311,plain,
( ~ subset(sK0,sK0)
| spl11_8 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl11_8
<=> subset(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f315,plain,
spl11_7,
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| spl11_7 ),
inference(resolution,[],[f307,f122]) ).
fof(f122,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( set_intersection2(sK0,sK1) != sK0
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f59,f77]) ).
fof(f77,plain,
( ? [X0,X1] :
( set_intersection2(X0,X1) != X0
& subset(X0,X1) )
=> ( set_intersection2(sK0,sK1) != sK0
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1] :
( set_intersection2(X0,X1) != X0
& subset(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_intersection2(X0,X1) = X0 ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_intersection2(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f307,plain,
( ~ subset(sK0,sK1)
| spl11_7 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl11_7
<=> subset(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f312,plain,
( ~ spl11_7
| ~ spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f303,f236,f309,f305]) ).
fof(f236,plain,
( spl11_6
<=> subset(sK0,set_intersection2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f303,plain,
( ~ subset(sK0,sK0)
| ~ subset(sK0,sK1)
| spl11_6 ),
inference(resolution,[],[f145,f238]) ).
fof(f238,plain,
( ~ subset(sK0,set_intersection2(sK0,sK1))
| spl11_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f145,plain,
! [X2,X0,X1] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X2,X1,X0] :
( ~ subset(X2,X1)
| subset(X2,set_intersection2(X1,X0))
| ~ subset(X2,X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( subset(X2,set_intersection2(X1,X0))
| ~ subset(X2,X1)
| ~ subset(X2,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ( subset(X2,X1)
& subset(X2,X0) )
=> subset(X2,set_intersection2(X1,X0)) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X2,X1,X0] :
( ( subset(X0,X1)
& subset(X0,X2) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f300,plain,
( ~ spl11_5
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f297,f236,f232]) ).
fof(f297,plain,
( ~ subset(sK0,set_intersection2(sK0,sK1))
| ~ subset(set_intersection2(sK0,sK1),sK0) ),
inference(resolution,[],[f211,f191]) ).
fof(f191,plain,
! [X0,X1] :
( sQ10_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f133,f184]) ).
fof(f184,plain,
! [X0,X1] :
( sQ10_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f211,plain,
~ sQ10_eqProxy(sK0,set_intersection2(sK0,sK1)),
inference(resolution,[],[f186,f207]) ).
fof(f207,plain,
! [X0,X1] :
( sQ10_eqProxy(X1,X0)
| ~ sQ10_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f184]) ).
fof(f186,plain,
~ sQ10_eqProxy(set_intersection2(sK0,sK1),sK0),
inference(equality_proxy_replacement,[],[f123,f184]) ).
fof(f123,plain,
set_intersection2(sK0,sK1) != sK0,
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU130+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n020.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 14:43:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (25513)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)
% 0.19/0.51 % (25514)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 % (25530)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)
% 0.19/0.51 % (25530)Instruction limit reached!
% 0.19/0.51 % (25530)------------------------------
% 0.19/0.51 % (25530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25530)Termination reason: Unknown
% 0.19/0.51 % (25530)Termination phase: Clausification
% 0.19/0.51
% 0.19/0.51 % (25530)Memory used [KB]: 1407
% 0.19/0.51 % (25530)Time elapsed: 0.002 s
% 0.19/0.51 % (25530)Instructions burned: 2 (million)
% 0.19/0.51 % (25530)------------------------------
% 0.19/0.51 % (25530)------------------------------
% 0.19/0.51 % (25520)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)
% 0.19/0.51 % (25535)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)
% 0.19/0.52 % (25518)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 % (25527)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 % (25519)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 % (25531)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)
% 0.19/0.52 % (25521)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 % (25531)First to succeed.
% 0.19/0.52 % (25514)Instruction limit reached!
% 0.19/0.52 % (25514)------------------------------
% 0.19/0.52 % (25514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25514)Termination reason: Unknown
% 0.19/0.52 % (25514)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (25514)Memory used [KB]: 6012
% 0.19/0.52 % (25514)Time elapsed: 0.004 s
% 0.19/0.52 % (25514)Instructions burned: 4 (million)
% 0.19/0.52 % (25514)------------------------------
% 0.19/0.52 % (25514)------------------------------
% 0.19/0.53 % (25527)Instruction limit reached!
% 0.19/0.53 % (25527)------------------------------
% 0.19/0.53 % (25527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25541)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)
% 0.19/0.53 % (25527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25523)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)
% 0.19/0.53 % (25527)Termination reason: Unknown
% 0.19/0.53 % (25527)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (25527)Memory used [KB]: 6012
% 0.19/0.53 % (25527)Time elapsed: 0.078 s
% 0.19/0.53 % (25527)Instructions burned: 8 (million)
% 0.19/0.53 % (25527)------------------------------
% 0.19/0.53 % (25527)------------------------------
% 0.19/0.53 % (25516)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)
% 0.19/0.53 % (25512)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (25517)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)
% 1.37/0.53 % (25522)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)
% 1.37/0.53 % (25526)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)
% 1.37/0.54 % (25526)Instruction limit reached!
% 1.37/0.54 % (25526)------------------------------
% 1.37/0.54 % (25526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (25526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (25526)Termination reason: Unknown
% 1.37/0.54 % (25526)Termination phase: Saturation
% 1.37/0.54
% 1.37/0.54 % (25526)Memory used [KB]: 6012
% 1.37/0.54 % (25526)Time elapsed: 0.003 s
% 1.37/0.54 % (25526)Instructions burned: 4 (million)
% 1.37/0.54 % (25526)------------------------------
% 1.37/0.54 % (25526)------------------------------
% 1.37/0.54 % (25539)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)
% 1.37/0.54 % (25513)Instruction limit reached!
% 1.37/0.54 % (25513)------------------------------
% 1.37/0.54 % (25513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (25513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (25513)Termination reason: Unknown
% 1.37/0.54 % (25513)Termination phase: Saturation
% 1.37/0.54
% 1.37/0.54 % (25513)Memory used [KB]: 6140
% 1.37/0.54 % (25513)Time elapsed: 0.125 s
% 1.37/0.54 % (25513)Instructions burned: 13 (million)
% 1.37/0.54 % (25513)------------------------------
% 1.37/0.54 % (25513)------------------------------
% 1.37/0.54 % (25533)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)
% 1.37/0.54 % (25538)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)
% 1.37/0.54 % (25525)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)
% 1.37/0.54 % (25529)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.55 % (25534)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)
% 1.37/0.55 % (25523)Instruction limit reached!
% 1.37/0.55 % (25523)------------------------------
% 1.37/0.55 % (25523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (25531)Refutation found. Thanks to Tanya!
% 1.37/0.55 % SZS status Theorem for theBenchmark
% 1.37/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.55 % (25531)------------------------------
% 1.37/0.55 % (25531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (25531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (25531)Termination reason: Refutation
% 1.37/0.55
% 1.37/0.55 % (25531)Memory used [KB]: 6140
% 1.37/0.55 % (25531)Time elapsed: 0.121 s
% 1.37/0.55 % (25531)Instructions burned: 6 (million)
% 1.37/0.55 % (25531)------------------------------
% 1.37/0.55 % (25531)------------------------------
% 1.37/0.55 % (25511)Success in time 0.194 s
%------------------------------------------------------------------------------