TSTP Solution File: GEO190+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Sun May 5 05:15:58 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 9 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 193 ( 67 ~; 83 |; 28 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 72 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f325,f330,f338,f352,f357,f366]) ).
fof(f366,plain,
~ spl3_21,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f362,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK1,sK2)
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f362,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_21 ),
inference(resolution,[],[f351,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f351,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl3_21
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f357,plain,
~ spl3_20,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl3_20 ),
inference(subsumption_resolution,[],[f353,f40]) ).
fof(f353,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_20 ),
inference(resolution,[],[f347,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f347,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl3_20
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f352,plain,
( spl3_20
| spl3_21
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f339,f283,f349,f345]) ).
fof(f283,plain,
( spl3_10
<=> ! [X0] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f339,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_10 ),
inference(resolution,[],[f284,f43]) ).
fof(f43,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f284,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f338,plain,
( ~ spl3_1
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl3_1
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f334,f81]) ).
fof(f81,plain,
( distinct_points(sK1,sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_1
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f334,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_6 ),
inference(resolution,[],[f268,f50]) ).
fof(f268,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl3_6
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f330,plain,
( ~ spl3_1
| ~ spl3_9 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl3_1
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f326,f81]) ).
fof(f326,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_9 ),
inference(resolution,[],[f281,f51]) ).
fof(f281,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl3_9
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f325,plain,
( spl3_6
| spl3_10
| spl3_9
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f229,f80,f279,f283,f266]) ).
fof(f229,plain,
( ! [X0] :
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f71,f81]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK1,sK0))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f62,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f62,plain,
! [X0] :
( distinct_lines(line_connecting(sK1,sK0),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f91,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f89,f47]) ).
fof(f47,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f89,plain,
( distinct_points(sK0,sK0)
| spl3_1 ),
inference(resolution,[],[f82,f59]) ).
fof(f59,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f55,f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f82,plain,
( ~ distinct_points(sK1,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:58:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (31873)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31874)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (31878)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (31875)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (31877)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (31876)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 % (31879)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (31880)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [2,2]
% 0.14/0.39 TRYING [1,1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2,2]
% 0.14/0.39 TRYING [6]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3,3]
% 0.14/0.39 TRYING [3,3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4,3]
% 0.14/0.39 TRYING [4,3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [5,3]
% 0.14/0.39 TRYING [5,3]
% 0.14/0.39 TRYING [6,3]
% 0.14/0.39 % (31879)First to succeed.
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [6,3]
% 0.14/0.40 % (31879)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31873"
% 0.14/0.40 % (31879)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (31879)------------------------------
% 0.14/0.40 % (31879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (31879)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (31879)Memory used [KB]: 899
% 0.14/0.40 % (31879)Time elapsed: 0.015 s
% 0.14/0.40 % (31879)Instructions burned: 15 (million)
% 0.14/0.40 % (31873)Success in time 0.042 s
%------------------------------------------------------------------------------