TSTP Solution File: GEO187+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO187+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 : n006.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 16:09:03 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 10 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 130 ( 38 ~; 46 |; 33 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f231,f256]) ).
fof(f256,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl4_2 ),
inference(unit_resulting_resolution,[],[f156,f142,f251,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0,X2,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f251,plain,
( ! [X6] : convergent_lines(line_connecting(sK0,sK3),parallel_through_point(X6,sK1))
| spl4_2 ),
inference(resolution,[],[f243,f170]) ).
fof(f170,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f243,plain,
( ! [X8] :
( apart_point_and_line(sK1,X8)
| convergent_lines(line_connecting(sK0,sK3),X8) )
| spl4_2 ),
inference(resolution,[],[f238,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f238,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK0,sK3),X0)
| apart_point_and_line(sK1,X0) )
| spl4_2 ),
inference(resolution,[],[f237,f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X2,X1)
| distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
=> ( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f237,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK3))
| spl4_2 ),
inference(resolution,[],[f182,f152]) ).
fof(f152,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) )
& ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
<=> incident_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f182,plain,
( ~ incident_point_and_line(sK1,line_connecting(sK0,sK3))
| spl4_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl4_2
<=> incident_point_and_line(sK1,line_connecting(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f142,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(f156,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f231,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl4_1 ),
inference(unit_resulting_resolution,[],[f156,f142,f226,f158]) ).
fof(f226,plain,
( ! [X6] : convergent_lines(line_connecting(sK0,sK3),parallel_through_point(X6,sK2))
| spl4_1 ),
inference(resolution,[],[f214,f170]) ).
fof(f214,plain,
( ! [X8] :
( apart_point_and_line(sK2,X8)
| convergent_lines(line_connecting(sK0,sK3),X8) )
| spl4_1 ),
inference(resolution,[],[f209,f136]) ).
fof(f209,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK0,sK3),X0)
| apart_point_and_line(sK2,X0) )
| spl4_1 ),
inference(resolution,[],[f208,f172]) ).
fof(f208,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK3))
| spl4_1 ),
inference(resolution,[],[f179,f152]) ).
fof(f179,plain,
( ~ incident_point_and_line(sK2,line_connecting(sK0,sK3))
| spl4_1 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl4_1
<=> incident_point_and_line(sK2,line_connecting(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f183,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f134,f181,f178]) ).
fof(f134,plain,
( ~ incident_point_and_line(sK1,line_connecting(sK0,sK3))
| ~ incident_point_and_line(sK2,line_connecting(sK0,sK3)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( ~ incident_point_and_line(sK2,line_connecting(sK0,sK3))
| ~ incident_point_and_line(sK1,line_connecting(sK0,sK3)) )
& distinct_points(sK0,sK3)
& incident_point_and_line(sK0,line_connecting(sK1,sK2))
& incident_point_and_line(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f90,f105]) ).
fof(f105,plain,
( ? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X2,line_connecting(X0,X3))
| ~ incident_point_and_line(X1,line_connecting(X0,X3)) )
& distinct_points(X0,X3)
& incident_point_and_line(X0,line_connecting(X1,X2))
& incident_point_and_line(X3,line_connecting(X1,X2))
& distinct_points(X1,X2) )
=> ( ( ~ incident_point_and_line(sK2,line_connecting(sK0,sK3))
| ~ incident_point_and_line(sK1,line_connecting(sK0,sK3)) )
& distinct_points(sK0,sK3)
& incident_point_and_line(sK0,line_connecting(sK1,sK2))
& incident_point_and_line(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X2,line_connecting(X0,X3))
| ~ incident_point_and_line(X1,line_connecting(X0,X3)) )
& distinct_points(X0,X3)
& incident_point_and_line(X0,line_connecting(X1,X2))
& incident_point_and_line(X3,line_connecting(X1,X2))
& distinct_points(X1,X2) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
? [X2,X1,X3,X0] :
( ( ~ incident_point_and_line(X2,line_connecting(X0,X3))
| ~ incident_point_and_line(X1,line_connecting(X0,X3)) )
& distinct_points(X0,X3)
& incident_point_and_line(X3,line_connecting(X1,X2))
& distinct_points(X1,X2)
& incident_point_and_line(X0,line_connecting(X1,X2)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X2,X1,X3,X0] :
( ( distinct_points(X0,X3)
& incident_point_and_line(X3,line_connecting(X1,X2))
& distinct_points(X1,X2)
& incident_point_and_line(X0,line_connecting(X1,X2)) )
=> ( incident_point_and_line(X1,line_connecting(X0,X3))
& incident_point_and_line(X2,line_connecting(X0,X3)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X3,X4,X1] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1)
& incident_point_and_line(X0,line_connecting(X3,X4))
& incident_point_and_line(X1,line_connecting(X3,X4)) )
=> ( incident_point_and_line(X3,line_connecting(X0,X1))
& incident_point_and_line(X4,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X3,X4,X1] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1)
& incident_point_and_line(X0,line_connecting(X3,X4))
& incident_point_and_line(X1,line_connecting(X3,X4)) )
=> ( incident_point_and_line(X3,line_connecting(X0,X1))
& incident_point_and_line(X4,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO187+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
% 0.13/0.34 % Computer : n006.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 21:25:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (30876)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)
% 0.19/0.49 % (30868)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)
% 0.19/0.50 % (30882)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)
% 0.19/0.50 % (30868)Instruction limit reached!
% 0.19/0.50 % (30868)------------------------------
% 0.19/0.50 % (30868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (30868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (30868)Termination reason: Unknown
% 0.19/0.50 % (30868)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (30868)Memory used [KB]: 6012
% 0.19/0.50 % (30868)Time elapsed: 0.004 s
% 0.19/0.50 % (30868)Instructions burned: 3 (million)
% 0.19/0.50 % (30868)------------------------------
% 0.19/0.50 % (30868)------------------------------
% 0.19/0.50 % (30860)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)
% 0.19/0.50 % (30874)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51 % (30859)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)
% 0.19/0.51 % (30858)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)
% 0.19/0.51 % (30857)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)
% 0.19/0.51 % (30856)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 % (30866)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)
% 0.19/0.52 % (30858)Instruction limit reached!
% 0.19/0.52 % (30858)------------------------------
% 0.19/0.52 % (30858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30866)Instruction limit reached!
% 0.19/0.52 % (30866)------------------------------
% 0.19/0.52 % (30866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30866)Termination reason: Unknown
% 0.19/0.52 % (30866)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30866)Memory used [KB]: 1663
% 0.19/0.52 % (30866)Time elapsed: 0.118 s
% 0.19/0.52 % (30866)Instructions burned: 16 (million)
% 0.19/0.52 % (30866)------------------------------
% 0.19/0.52 % (30866)------------------------------
% 0.19/0.52 % (30883)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)
% 0.19/0.52 % (30882)First to succeed.
% 0.19/0.52 % (30865)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)
% 0.19/0.52 % (30872)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)
% 0.19/0.52 % (30872)Instruction limit reached!
% 0.19/0.52 % (30872)------------------------------
% 0.19/0.52 % (30872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30872)Termination reason: Unknown
% 0.19/0.52 % (30872)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30872)Memory used [KB]: 6012
% 0.19/0.52 % (30872)Time elapsed: 0.129 s
% 0.19/0.52 % (30872)Instructions burned: 3 (million)
% 0.19/0.52 % (30872)------------------------------
% 0.19/0.52 % (30872)------------------------------
% 0.19/0.52 % (30855)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)
% 0.19/0.52 % (30871)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (30882)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (30882)------------------------------
% 0.19/0.53 % (30882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30882)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (30882)Memory used [KB]: 6140
% 0.19/0.53 % (30882)Time elapsed: 0.107 s
% 0.19/0.53 % (30882)Instructions burned: 5 (million)
% 0.19/0.53 % (30882)------------------------------
% 0.19/0.53 % (30882)------------------------------
% 0.19/0.53 % (30853)Success in time 0.179 s
%------------------------------------------------------------------------------