TSTP Solution File: GEO212+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO212+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 : n019.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 16:09:15 EDT 2022
% Result : Theorem 1.52s 0.56s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 31 ~; 31 |; 24 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 ( 55 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(unit_resulting_resolution,[],[f72,f74,f106,f73,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| convergent_lines(X2,X0)
| unorthogonal_lines(X1,X0)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X2,X0] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( convergent_lines(X5,X6)
& unorthogonal_lines(X5,X6) )
=> ( ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) )
| ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
fof(f73,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ~ unorthogonal_lines(sK2,sK0)
& unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f56,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X0) )
=> ( ~ unorthogonal_lines(sK2,sK0)
& unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X2,X1,X0] :
( ~ unorthogonal_lines(X0,X2)
& unorthogonal_lines(X1,X0)
& ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
& ~ convergent_lines(X1,X2)
& unorthogonal_lines(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X2,X0,X1] :
( unorthogonal_lines(X1,X0)
=> ( unorthogonal_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X6,X5,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| convergent_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X6,X5,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| convergent_lines(X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f106,plain,
convergent_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f71,f94,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f94,plain,
convergent_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f86,f90,f66]) ).
fof(f90,plain,
~ convergent_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f72,f71,f66]) ).
fof(f86,plain,
convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f74,f79]) ).
fof(f79,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f71,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f74,plain,
~ unorthogonal_lines(sK2,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f72,plain,
~ convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO212+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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:32:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.26/0.52 % (18655)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)
% 1.26/0.53 % (18663)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)
% 1.26/0.53 % (18666)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)
% 1.26/0.53 % (18668)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)
% 1.26/0.53 % (18655)Instruction limit reached!
% 1.26/0.53 % (18655)------------------------------
% 1.26/0.53 % (18655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.53 % (18655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.53 % (18655)Termination reason: Unknown
% 1.26/0.53 % (18655)Termination phase: Saturation
% 1.26/0.53
% 1.26/0.53 % (18655)Memory used [KB]: 5884
% 1.26/0.53 % (18655)Time elapsed: 0.115 s
% 1.26/0.53 % (18655)Instructions burned: 5 (million)
% 1.26/0.53 % (18655)------------------------------
% 1.26/0.53 % (18655)------------------------------
% 1.26/0.53 % (18671)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)
% 1.26/0.53 % (18666)First to succeed.
% 1.26/0.54 % (18665)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)
% 1.26/0.54 % (18671)Instruction limit reached!
% 1.26/0.54 % (18671)------------------------------
% 1.26/0.54 % (18671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.54 % (18671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.54 % (18671)Termination reason: Unknown
% 1.26/0.54 % (18671)Termination phase: Saturation
% 1.26/0.54
% 1.26/0.54 % (18671)Memory used [KB]: 5884
% 1.26/0.54 % (18671)Time elapsed: 0.003 s
% 1.26/0.54 % (18671)Instructions burned: 2 (million)
% 1.26/0.54 % (18671)------------------------------
% 1.26/0.54 % (18671)------------------------------
% 1.26/0.54 % (18670)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.26/0.54 TRYING [1]
% 1.26/0.54 % (18670)Instruction limit reached!
% 1.26/0.54 % (18670)------------------------------
% 1.26/0.54 % (18670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.54 % (18670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.54 % (18670)Termination reason: Unknown
% 1.26/0.54 % (18670)Termination phase: Finite model building constraint generation
% 1.26/0.54
% 1.26/0.54 % (18670)Memory used [KB]: 5884
% 1.26/0.54 % (18670)Time elapsed: 0.099 s
% 1.26/0.54 % (18670)Instructions burned: 3 (million)
% 1.26/0.54 % (18670)------------------------------
% 1.26/0.54 % (18670)------------------------------
% 1.26/0.54 % (18659)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)
% 1.26/0.54 % (18658)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)
% 1.26/0.54 % (18660)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)
% 1.26/0.54 % (18664)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)
% 1.26/0.54 % (18657)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)
% 1.52/0.54 % (18656)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)
% 1.52/0.55 % (18677)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)
% 1.52/0.55 % (18675)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)
% 1.52/0.55 % (18678)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)
% 1.52/0.55 % (18681)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)
% 1.52/0.55 % (18668)Instruction limit reached!
% 1.52/0.55 % (18668)------------------------------
% 1.52/0.55 % (18668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (18668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (18668)Termination reason: Unknown
% 1.52/0.55 % (18668)Termination phase: Saturation
% 1.52/0.55
% 1.52/0.55 % (18668)Memory used [KB]: 6012
% 1.52/0.55 % (18668)Time elapsed: 0.077 s
% 1.52/0.55 % (18668)Instructions burned: 8 (million)
% 1.52/0.55 % (18668)------------------------------
% 1.52/0.55 % (18668)------------------------------
% 1.52/0.55 % (18676)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)
% 1.52/0.55 % (18680)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)
% 1.52/0.55 % (18654)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)
% 1.52/0.55 % (18683)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)
% 1.52/0.56 % (18658)Also succeeded, but the first one will report.
% 1.52/0.56 % (18666)Refutation found. Thanks to Tanya!
% 1.52/0.56 % SZS status Theorem for theBenchmark
% 1.52/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (18666)------------------------------
% 1.52/0.56 % (18666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (18666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (18666)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (18666)Memory used [KB]: 5884
% 1.52/0.56 % (18666)Time elapsed: 0.123 s
% 1.52/0.56 % (18666)Instructions burned: 3 (million)
% 1.52/0.56 % (18666)------------------------------
% 1.52/0.56 % (18666)------------------------------
% 1.52/0.56 % (18648)Success in time 0.201 s
%------------------------------------------------------------------------------