TSTP Solution File: GEO178+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO178+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_sat --cores 0 -t %d %s
% Computer : n013.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 16:12:07 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 32 ~; 23 |; 23 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 30 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f92,f119]) ).
fof(f119,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f117,f64]) ).
fof(f64,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X0) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X1,X0,X2] :
( ( ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X1) )
& apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( ( ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X1) )
& apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X1,X0,X2] :
( ( apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) )
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0,X2] :
( ( 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',con) ).
fof(f117,plain,
( ~ distinct_points(sK0,sK1)
| spl3_2 ),
inference(subsumption_resolution,[],[f115,f78]) ).
fof(f78,plain,
( ~ distinct_points(sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_2
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f115,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f59,f65]) ).
fof(f65,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f50]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X0,X2,X1] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f92,plain,
spl3_1,
inference(avatar_split_clause,[],[f91,f72]) ).
fof(f72,plain,
( spl3_1
<=> distinct_points(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f91,plain,
distinct_points(sK2,sK0),
inference(subsumption_resolution,[],[f85,f64]) ).
fof(f85,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f58,f65]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| distinct_points(X0,X1)
| ~ distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f79,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f66,f76,f72]) ).
fof(f66,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 21:21:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (26906)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (26929)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (26921)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 TRYING [4]
% 0.20/0.51 TRYING [5]
% 0.20/0.52 % (26929)First to succeed.
% 0.20/0.52 TRYING [6]
% 0.20/0.52 % (26919)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (26928)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 TRYING [7]
% 0.20/0.52 % (26920)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (26929)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 % (26929)------------------------------
% 0.20/0.52 % (26929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26929)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (26929)Memory used [KB]: 5373
% 0.20/0.52 % (26929)Time elapsed: 0.121 s
% 0.20/0.52 % (26929)Instructions burned: 2 (million)
% 0.20/0.52 % (26929)------------------------------
% 0.20/0.52 % (26929)------------------------------
% 0.20/0.52 % (26905)Success in time 0.173 s
%------------------------------------------------------------------------------