TSTP Solution File: GEO200+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO200+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 : n027.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 05:16:03 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 9 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 49 ~; 66 |; 6 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f187,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f149,f158,f181,f186]) ).
fof(f186,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f185,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f182,f39]) ).
fof(f39,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f37]) ).
fof(f37,plain,
( ? [X0,X1] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f182,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f98,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f98,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl2_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f181,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f179,f42]) ).
fof(f42,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(f179,plain,
( distinct_points(sK0,sK0)
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f175,f42]) ).
fof(f175,plain,
( distinct_points(sK1,sK1)
| distinct_points(sK0,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f159,f69]) ).
fof(f69,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f62,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f62,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f58,f42]) ).
fof(f58,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(sK1,X1)
| distinct_points(X0,X1) ),
inference(resolution,[],[f55,f50]) ).
fof(f55,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f50,f39]) ).
fof(f159,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f110,f47]) ).
fof(f110,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl2_4
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f158,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f156,f42]) ).
fof(f156,plain,
( distinct_points(sK0,sK0)
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f152,f42]) ).
fof(f152,plain,
( distinct_points(sK1,sK1)
| distinct_points(sK0,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f142,f69]) ).
fof(f142,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f102,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f102,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl2_2
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f149,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f145,f39]) ).
fof(f145,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f106,f46]) ).
fof(f106,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl2_3
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f111,plain,
( spl2_1
| spl2_2
| spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f85,f108,f104,f100,f96]) ).
fof(f85,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f59,f39]) ).
fof(f59,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f38]) ).
fof(f54,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,[],[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(flattening,[],[f35]) ).
fof(f35,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/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n027.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 21:52:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.36 % (31120)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (31125)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.38 % (31122)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (31124)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.38 % (31127)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)
% 0.20/0.38 % (31126)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38 % (31123)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)
% 0.20/0.38 TRYING [1,1]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2,2]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [1,1]
% 0.20/0.38 TRYING [3,2]
% 0.20/0.38 TRYING [2,2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3,2]
% 0.20/0.38 TRYING [4,2]
% 0.20/0.38 % (31121)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4,2]
% 0.20/0.38 TRYING [5,2]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [5,2]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (31126)First to succeed.
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [6,2]
% 0.20/0.38 % (31126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31120"
% 0.20/0.38 TRYING [6,2]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 % (31126)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (31126)------------------------------
% 0.20/0.38 % (31126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (31126)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (31126)Memory used [KB]: 806
% 0.20/0.38 % (31126)Time elapsed: 0.005 s
% 0.20/0.38 % (31126)Instructions burned: 8 (million)
% 0.20/0.38 % (31120)Success in time 0.02 s
%------------------------------------------------------------------------------