TSTP Solution File: GEO170+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO170+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 : n017.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 05:15:48 EDT 2024
% Result : Theorem 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 118 ( 46 ~; 42 |; 21 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 40 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f113,f118]) ).
fof(f118,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f114,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( distinct_lines(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( distinct_lines(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_lines(X2,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f114,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f84,f50]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f84,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f113,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f109,f40]) ).
fof(f109,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f88,f49]) ).
fof(f49,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/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f88,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_2
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f89,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f80,f86,f82]) ).
fof(f80,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(subsumption_resolution,[],[f79,f42]) ).
fof(f42,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2) ),
inference(subsumption_resolution,[],[f74,f41]) ).
fof(f41,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f74,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2) ),
inference(resolution,[],[f64,f40]) ).
fof(f64,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f57,f43]) ).
fof(f43,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO170+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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 22:01:37 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (13056)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37 % (13061)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.37 % (13063)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)
% 0.19/0.37 % (13059)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)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 % (13060)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.37 % (13058)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37 TRYING [2]
% 0.19/0.37 % (13062)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.37 TRYING [3]
% 0.19/0.37 TRYING [1,1]
% 0.19/0.37 TRYING [1,1]
% 0.19/0.37 TRYING [2,2]
% 0.19/0.37 TRYING [2,2]
% 0.19/0.37 TRYING [4]
% 0.19/0.37 TRYING [3,2]
% 0.19/0.37 TRYING [3,2]
% 0.19/0.37 % (13062)First to succeed.
% 0.19/0.37 TRYING [4,2]
% 0.19/0.37 TRYING [4,2]
% 0.19/0.37 % (13062)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13056"
% 0.19/0.37 TRYING [5,2]
% 0.19/0.37 TRYING [5,2]
% 0.19/0.37 % (13057)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.37 % (13062)Refutation found. Thanks to Tanya!
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37 % (13062)------------------------------
% 0.19/0.37 % (13062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37 % (13062)Termination reason: Refutation
% 0.19/0.37
% 0.19/0.37 % (13062)Memory used [KB]: 793
% 0.19/0.37 % (13062)Time elapsed: 0.005 s
% 0.19/0.37 % (13062)Instructions burned: 5 (million)
% 0.19/0.37 % (13056)Success in time 0.019 s
%------------------------------------------------------------------------------