TSTP Solution File: GEO206+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO206+1 : 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 : n022.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 16:09:12 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 18 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 59 ~; 57 |; 13 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 86 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f132,f149,f167,f189,f195]) ).
fof(f195,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f190,f99,f122]) ).
fof(f122,plain,
( spl3_3
<=> apart_point_and_line(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f99,plain,
( spl3_1
<=> ! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK2,sK1))
| apart_point_and_line(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f190,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl3_1 ),
inference(resolution,[],[f100,f78]) ).
fof(f78,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f100,plain,
( ! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK2,sK1))
| apart_point_and_line(X0,sK0) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f189,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f176,f66]) ).
fof(f66,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( distinct_lines(sK0,parallel_through_point(sK2,sK1))
& ~ convergent_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f35,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2] :
( distinct_lines(X0,parallel_through_point(X2,X1))
& ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) )
=> ( distinct_lines(sK0,parallel_through_point(sK2,sK1))
& ~ convergent_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2] :
( distinct_lines(X0,parallel_through_point(X2,X1))
& ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X1,X0,X2] :
( distinct_lines(X0,parallel_through_point(X2,X1))
& ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0,X2] :
( ( ~ convergent_lines(X0,X2)
& ~ apart_point_and_line(X1,X0) )
=> ~ distinct_lines(X0,parallel_through_point(X2,X1)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X1,X0,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X1,X0,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f176,plain,
( convergent_lines(sK0,sK2)
| ~ spl3_2 ),
inference(resolution,[],[f151,f69]) ).
fof(f69,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f151,plain,
( ! [X1] :
( convergent_lines(parallel_through_point(sK2,sK1),X1)
| convergent_lines(sK0,X1) )
| ~ spl3_2 ),
inference(resolution,[],[f104,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[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(f104,plain,
( convergent_lines(sK0,parallel_through_point(sK2,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_2
<=> convergent_lines(sK0,parallel_through_point(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f167,plain,
spl3_5,
inference(avatar_split_clause,[],[f163,f139]) ).
fof(f139,plain,
( spl3_5
<=> distinct_lines(sK0,parallel_through_point(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f163,plain,
distinct_lines(sK0,parallel_through_point(sK2,sK1)),
inference(resolution,[],[f133,f79]) ).
fof(f79,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f133,plain,
! [X0] :
( distinct_lines(X0,parallel_through_point(sK2,sK1))
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f85,f79]) ).
fof(f85,plain,
! [X0,X1] :
( distinct_lines(parallel_through_point(sK2,sK1),X1)
| distinct_lines(X0,X1)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f83,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X2,X0)
| distinct_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f83,plain,
! [X0] :
( distinct_lines(parallel_through_point(sK2,sK1),X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f74,f67]) ).
fof(f67,plain,
distinct_lines(sK0,parallel_through_point(sK2,sK1)),
inference(cnf_transformation,[],[f54]) ).
fof(f149,plain,
( spl3_2
| spl3_1
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f147,f139,f99,f102]) ).
fof(f147,plain,
( ! [X2] :
( apart_point_and_line(X2,sK0)
| convergent_lines(sK0,parallel_through_point(sK2,sK1))
| apart_point_and_line(X2,parallel_through_point(sK2,sK1)) )
| ~ spl3_5 ),
inference(resolution,[],[f141,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
| convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| convergent_lines(X0,X2)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( distinct_lines(X0,X2)
=> ( apart_point_and_line(X1,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
fof(f141,plain,
( distinct_lines(sK0,parallel_through_point(sK2,sK1))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f132,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| ~ spl3_3 ),
inference(resolution,[],[f124,f65]) ).
fof(f65,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f54]) ).
fof(f124,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO206+1 : 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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:29:11 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.51 % (26150)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)
% 0.20/0.51 % (26147)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 % (26168)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)
% 0.20/0.52 % (26160)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)
% 0.20/0.52 % (26159)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 % (26168)First to succeed.
% 0.20/0.52 % (26149)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)
% 0.20/0.52 % (26151)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)
% 0.20/0.52 % (26149)Also succeeded, but the first one will report.
% 0.20/0.52 % (26152)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 % (26160)Instruction limit reached!
% 0.20/0.52 % (26160)------------------------------
% 0.20/0.52 % (26160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26160)Termination reason: Unknown
% 0.20/0.52 % (26160)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26160)Memory used [KB]: 5884
% 0.20/0.52 % (26160)Time elapsed: 0.075 s
% 0.20/0.52 % (26160)Instructions burned: 3 (million)
% 0.20/0.52 % (26160)------------------------------
% 0.20/0.52 % (26160)------------------------------
% 0.20/0.52 % (26163)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (26168)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (26168)------------------------------
% 0.20/0.52 % (26168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26168)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (26168)Memory used [KB]: 5884
% 0.20/0.52 % (26168)Time elapsed: 0.077 s
% 0.20/0.52 % (26168)Instructions burned: 2 (million)
% 0.20/0.52 % (26168)------------------------------
% 0.20/0.52 % (26168)------------------------------
% 0.20/0.52 % (26145)Success in time 0.175 s
%------------------------------------------------------------------------------