TSTP Solution File: GEO218+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO218+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 : n014.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 1.27s 0.53s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 57 ~; 36 |; 26 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 84 ( 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(subsumption_resolution,[],[f176,f156]) ).
fof(f156,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f132,f137,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f137,plain,
convergent_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f131,f115]) ).
fof(f115,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
~ ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X5,X6] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f131,plain,
~ unorthogonal_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f105,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ orthogonal_lines(X1,X0)
| ~ unorthogonal_lines(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( orthogonal_lines(X1,X0)
| unorthogonal_lines(X1,X0) )
& ( ~ unorthogonal_lines(X1,X0)
| ~ orthogonal_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( orthogonal_lines(X1,X0)
<=> ~ unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ~ unorthogonal_lines(X0,X1)
<=> orthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(f105,plain,
orthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( parallel_lines(sK2,sK0)
& orthogonal_lines(sK2,sK1)
& ~ orthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f87,f88]) ).
fof(f88,plain,
( ? [X0,X1,X2] :
( parallel_lines(X2,X0)
& orthogonal_lines(X2,X1)
& ~ orthogonal_lines(X0,X1) )
=> ( parallel_lines(sK2,sK0)
& orthogonal_lines(sK2,sK1)
& ~ orthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1,X2] :
( parallel_lines(X2,X0)
& orthogonal_lines(X2,X1)
& ~ orthogonal_lines(X0,X1) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X1,X0,X2] :
( parallel_lines(X2,X1)
& orthogonal_lines(X2,X0)
& ~ orthogonal_lines(X1,X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X0)
& parallel_lines(X2,X1)
& orthogonal_lines(X2,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2] :
( ( parallel_lines(X2,X1)
& orthogonal_lines(X2,X0) )
=> orthogonal_lines(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X7,X6,X5] :
( ( orthogonal_lines(X5,X7)
& parallel_lines(X5,X6) )
=> orthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X7,X6,X5] :
( ( orthogonal_lines(X5,X7)
& parallel_lines(X5,X6) )
=> orthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f132,plain,
~ convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f106,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) )
& ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
<=> parallel_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f106,plain,
parallel_lines(sK2,sK0),
inference(cnf_transformation,[],[f89]) ).
fof(f176,plain,
~ convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f127,f144,f126]) ).
fof(f144,plain,
~ convergent_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f131,f130,f132,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| convergent_lines(X0,X1)
| ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0,X2] :
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2] :
( ( ( ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2) )
& ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ) )
=> ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X5,X6,X7] :
( ( ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_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',cotno1) ).
fof(f130,plain,
unorthogonal_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f104,f118]) ).
fof(f118,plain,
! [X0,X1] :
( orthogonal_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f104,plain,
~ orthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f89]) ).
fof(f127,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO218+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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:31:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28774)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 % (28791)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (28776)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 % (28797)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 % (28789)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)
% 0.20/0.52 % (28786)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)
% 0.20/0.52 % (28788)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)
% 1.27/0.52 % (28783)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)
% 1.27/0.52 % (28774)Refutation not found, incomplete strategy% (28774)------------------------------
% 1.27/0.52 % (28774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52 % (28774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52 % (28774)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.52
% 1.27/0.52 % (28774)Memory used [KB]: 5884
% 1.27/0.52 % (28774)Time elapsed: 0.112 s
% 1.27/0.52 % (28774)Instructions burned: 1 (million)
% 1.27/0.52 % (28774)------------------------------
% 1.27/0.52 % (28774)------------------------------
% 1.27/0.52 % (28795)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)
% 1.27/0.52 % (28791)Instruction limit reached!
% 1.27/0.52 % (28791)------------------------------
% 1.27/0.52 % (28791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52 % (28791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52 % (28791)Termination reason: Unknown
% 1.27/0.52 % (28791)Termination phase: Finite model building constraint generation
% 1.27/0.52
% 1.27/0.52 % (28791)Memory used [KB]: 6012
% 1.27/0.52 % (28791)Time elapsed: 0.004 s
% 1.27/0.52 % (28791)Instructions burned: 4 (million)
% 1.27/0.52 % (28791)------------------------------
% 1.27/0.52 % (28791)------------------------------
% 1.27/0.52 % (28776)Refutation not found, incomplete strategy% (28776)------------------------------
% 1.27/0.52 % (28776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.52 % (28776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52 % (28776)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.52
% 1.27/0.52 % (28776)Memory used [KB]: 5884
% 1.27/0.52 % (28776)Time elapsed: 0.114 s
% 1.27/0.52 % (28776)Instructions burned: 1 (million)
% 1.27/0.52 % (28776)------------------------------
% 1.27/0.52 % (28776)------------------------------
% 1.27/0.53 % (28783)First to succeed.
% 1.27/0.53 % (28797)Also succeeded, but the first one will report.
% 1.27/0.53 % (28783)Refutation found. Thanks to Tanya!
% 1.27/0.53 % SZS status Theorem for theBenchmark
% 1.27/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53 % (28783)------------------------------
% 1.27/0.53 % (28783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53 % (28783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53 % (28783)Termination reason: Refutation
% 1.27/0.53
% 1.27/0.53 % (28783)Memory used [KB]: 6012
% 1.27/0.53 % (28783)Time elapsed: 0.127 s
% 1.27/0.53 % (28783)Instructions burned: 4 (million)
% 1.27/0.53 % (28783)------------------------------
% 1.27/0.53 % (28783)------------------------------
% 1.27/0.53 % (28764)Success in time 0.171 s
%------------------------------------------------------------------------------