TSTP Solution File: GEO218+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO218+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 : 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 16:09:19 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 61 ~; 37 |; 23 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 69 ( 57 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(avatar_sat_refutation,[],[f115,f134,f155]) ).
fof(f155,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| ~ spl3_1 ),
inference(resolution,[],[f146,f74]) ).
fof(f74,plain,
~ convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ~ unorthogonal_lines(sK2,sK1)
& unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& unorthogonal_lines(X0,X1)
& ~ convergent_lines(X2,X0) )
=> ( ~ unorthogonal_lines(sK2,sK1)
& unorthogonal_lines(sK0,sK1)
& ~ convergent_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& unorthogonal_lines(X0,X1)
& ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
? [X0,X2,X1] :
( ~ unorthogonal_lines(X1,X2)
& unorthogonal_lines(X0,X2)
& ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X2,X0,X1] :
( unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X2,X0,X1] :
( ( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X1,X0) )
=> ~ unorthogonal_lines(X0,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X6,X5,X7] :
( ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X6,X5,X7] :
( ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X7) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f146,plain,
( convergent_lines(sK2,sK0)
| ~ spl3_1 ),
inference(resolution,[],[f110,f76]) ).
fof(f76,plain,
~ unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f110,plain,
( ! [X0] :
( unorthogonal_lines(X0,sK1)
| convergent_lines(X0,sK0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl3_1
<=> ! [X0] :
( convergent_lines(X0,sK0)
| unorthogonal_lines(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f134,plain,
spl3_2,
inference(avatar_split_clause,[],[f130,f112]) ).
fof(f112,plain,
( spl3_2
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f130,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f95,f64]) ).
fof(f64,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f95,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f90,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f90,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f89,f74]) ).
fof(f89,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f69,f86]) ).
fof(f86,plain,
convergent_lines(sK2,sK1),
inference(resolution,[],[f73,f76]) ).
fof(f73,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
~ ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X5,X6] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coipo1) ).
fof(f115,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f105,f112,f109]) ).
fof(f105,plain,
! [X0] :
( ~ convergent_lines(sK0,sK1)
| convergent_lines(X0,sK0)
| unorthogonal_lines(X0,sK1) ),
inference(resolution,[],[f79,f75]) ).
fof(f75,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f59]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ unorthogonal_lines(X0,X2)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( ( ~ convergent_lines(X1,X0)
| ~ unorthogonal_lines(X1,X0) )
& ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ) )
=> ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6,X5,X7] :
( ( ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) )
& ( ~ convergent_lines(X5,X7)
| ~ unorthogonal_lines(X5,X7) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cotno1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO218+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % 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 : n010.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 21:22:59 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.51 % (24300)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 % (24299)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 % (24309)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)
% 0.20/0.53 % (24316)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)
% 0.20/0.53 % (24315)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)
% 0.20/0.53 % (24297)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)
% 0.20/0.53 % (24315)First to succeed.
% 0.20/0.53 % (24301)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)
% 0.20/0.53 % (24307)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)
% 0.20/0.53 % (24308)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)
% 0.20/0.53 % (24297)Instruction limit reached!
% 0.20/0.53 % (24297)------------------------------
% 0.20/0.53 % (24297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24297)Termination reason: Unknown
% 0.20/0.53 % (24297)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (24297)Memory used [KB]: 5884
% 0.20/0.53 % (24297)Time elapsed: 0.137 s
% 0.20/0.53 % (24297)Instructions burned: 15 (million)
% 0.20/0.53 % (24297)------------------------------
% 0.20/0.53 % (24297)------------------------------
% 0.20/0.53 % (24308)Instruction limit reached!
% 0.20/0.53 % (24308)------------------------------
% 0.20/0.53 % (24308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (24308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (24308)Termination reason: Unknown
% 0.20/0.53 % (24308)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (24308)Memory used [KB]: 6012
% 0.20/0.53 % (24308)Time elapsed: 0.131 s
% 0.20/0.53 % (24308)Instructions burned: 7 (million)
% 0.20/0.53 % (24308)------------------------------
% 0.20/0.53 % (24308)------------------------------
% 0.20/0.54 % (24293)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (24307)Instruction limit reached!
% 0.20/0.54 % (24307)------------------------------
% 0.20/0.54 % (24307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24307)Termination reason: Unknown
% 0.20/0.54 % (24307)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (24307)Memory used [KB]: 5884
% 0.20/0.54 % (24307)Time elapsed: 0.128 s
% 0.20/0.54 % (24307)Instructions burned: 3 (million)
% 0.20/0.54 % (24307)------------------------------
% 0.20/0.54 % (24307)------------------------------
% 0.20/0.54 % (24315)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 % (24315)------------------------------
% 0.20/0.54 % (24315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24315)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (24315)Memory used [KB]: 5884
% 0.20/0.54 % (24315)Time elapsed: 0.118 s
% 0.20/0.54 % (24315)Instructions burned: 2 (million)
% 0.20/0.54 % (24315)------------------------------
% 0.20/0.54 % (24315)------------------------------
% 0.20/0.54 % (24292)Success in time 0.191 s
%------------------------------------------------------------------------------