TSTP Solution File: GEO225+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO225+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 : n001.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 16:09:22 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 124 ( 32 ~; 40 |; 37 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 59 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f544,plain,
$false,
inference(avatar_sat_refutation,[],[f417,f428,f538]) ).
fof(f538,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl2_7 ),
inference(resolution,[],[f261,f72]) ).
fof(f72,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f261,plain,
( distinct_points(sK0,sK0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl2_7
<=> distinct_points(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f428,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl2_6 ),
inference(resolution,[],[f250,f72]) ).
fof(f250,plain,
( distinct_points(sK1,sK1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl2_6
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f417,plain,
( spl2_6
| spl2_7 ),
inference(avatar_split_clause,[],[f348,f259,f248]) ).
fof(f348,plain,
( distinct_points(sK0,sK0)
| distinct_points(sK1,sK1) ),
inference(resolution,[],[f146,f100]) ).
fof(f100,plain,
distinct_points(sK0,sK1),
inference(resolution,[],[f99,f72]) ).
fof(f99,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f97,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
=> ( distinct_points(X2,X1)
| distinct_points(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f97,plain,
distinct_points(sK0,sK1),
inference(resolution,[],[f94,f72]) ).
fof(f94,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f71,f79]) ).
fof(f79,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( distinct_points(sK0,sK1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ) )
& point(sK0)
& point(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f61,f62]) ).
fof(f62,plain,
( ? [X0,X1] :
( distinct_points(X0,X1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) )
& point(X0)
& point(X1) )
=> ( distinct_points(sK0,sK1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ) )
& point(sK0)
& point(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1] :
( distinct_points(X0,X1)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) )
& point(X0)
& point(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
? [X1,X0] :
( distinct_points(X1,X0)
& ! [X2] :
( line(X2)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ) )
& point(X1)
& point(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X1,X0] :
( ! [X2] :
( line(X2)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ) )
& point(X1)
& point(X0)
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X1,X0] :
( ( point(X1)
& point(X0)
& distinct_points(X1,X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X6,X5] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X6,X5] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f146,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(sK1,X0)
| distinct_points(sK0,X1) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( distinct_points(sK0,X1)
| ~ distinct_points(X1,X0)
| ~ distinct_points(X1,X0)
| distinct_points(sK1,X0) ),
inference(resolution,[],[f115,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
| distinct_points(X1,X0)
| ~ distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f115,plain,
! [X0,X1] :
( apart_point_and_line(sK0,line_connecting(X0,X1))
| distinct_points(sK1,X1)
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f92,f77]) ).
fof(f77,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % 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 : n001.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 21:52:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (7457)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)
% 0.20/0.46 % (7449)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)
% 0.20/0.47 % (7465)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)
% 0.20/0.47 % (7449)Refutation not found, incomplete strategy% (7449)------------------------------
% 0.20/0.47 % (7449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (7449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (7449)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47 % (7449)Memory used [KB]: 5884
% 0.20/0.47 % (7449)Time elapsed: 0.077 s
% 0.20/0.47 % (7449)Instructions burned: 1 (million)
% 0.20/0.47 % (7449)------------------------------
% 0.20/0.47 % (7449)------------------------------
% 0.20/0.47 % (7457)Instruction limit reached!
% 0.20/0.47 % (7457)------------------------------
% 0.20/0.47 % (7457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (7457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (7457)Termination reason: Unknown
% 0.20/0.47 % (7457)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (7457)Memory used [KB]: 6012
% 0.20/0.47 % (7457)Time elapsed: 0.087 s
% 0.20/0.47 % (7457)Instructions burned: 7 (million)
% 0.20/0.47 % (7457)------------------------------
% 0.20/0.47 % (7457)------------------------------
% 0.20/0.49 % (7443)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)
% 0.20/0.50 % (7464)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)
% 0.20/0.50 % (7442)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (7464)First to succeed.
% 0.20/0.50 % (7464)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (7464)------------------------------
% 0.20/0.50 % (7464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (7464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (7464)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (7464)Memory used [KB]: 6140
% 0.20/0.50 % (7464)Time elapsed: 0.065 s
% 0.20/0.50 % (7464)Instructions burned: 6 (million)
% 0.20/0.50 % (7464)------------------------------
% 0.20/0.50 % (7464)------------------------------
% 0.20/0.50 % (7441)Success in time 0.151 s
%------------------------------------------------------------------------------