TSTP Solution File: GEO188+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Fri Sep 1 14:43:20 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 63 ( 11 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 178 ( 61 ~; 75 |; 28 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 81 (; 72 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f460,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f314,f408,f426,f431,f459]) ).
fof(f459,plain,
~ spl3_17,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f455,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ 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(X0,line_connecting(X2,X1))
& ~ 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(sK0,line_connecting(sK2,sK1))
& ~ 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(X0,line_connecting(X2,X1))
& ~ 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(X0,line_connecting(X2,X1))
& ~ 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(X0,line_connecting(X2,X1)) ),
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(X0,line_connecting(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',con) ).
fof(f455,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_17 ),
inference(resolution,[],[f425,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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',ci1) ).
fof(f425,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl3_17
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f431,plain,
~ spl3_16,
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f427,f40]) ).
fof(f427,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_16 ),
inference(resolution,[],[f421,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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',ci2) ).
fof(f421,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl3_16
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f426,plain,
( spl3_16
| spl3_17
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f413,f252,f423,f419]) ).
fof(f252,plain,
( spl3_9
<=> ! [X55] :
( apart_point_and_line(sK1,X55)
| apart_point_and_line(sK0,X55)
| apart_point_and_line(sK2,X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f413,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_9 ),
inference(resolution,[],[f253,f43]) ).
fof(f43,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f253,plain,
( ! [X55] :
( apart_point_and_line(sK2,X55)
| apart_point_and_line(sK0,X55)
| apart_point_and_line(sK1,X55) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f408,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f386,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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',apart1) ).
fof(f386,plain,
( distinct_points(sK1,sK1)
| ~ spl3_6 ),
inference(resolution,[],[f360,f61]) ).
fof(f61,plain,
! [X2] :
( distinct_points(sK2,X2)
| distinct_points(sK1,X2) ),
inference(resolution,[],[f55,f42]) ).
fof(f42,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f39]) ).
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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',apart4) ).
fof(f360,plain,
( ~ distinct_points(sK2,sK1)
| ~ spl3_6 ),
inference(resolution,[],[f241,f50]) ).
fof(f241,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl3_6
<=> apart_point_and_line(sK2,line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f314,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f300,f47]) ).
fof(f300,plain,
( distinct_points(sK1,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f295,f61]) ).
fof(f295,plain,
( ~ distinct_points(sK2,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f228,f51]) ).
fof(f228,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl3_3
<=> apart_point_and_line(sK1,line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f254,plain,
( spl3_3
| spl3_9
| spl3_6 ),
inference(avatar_split_clause,[],[f197,f239,f252,f226]) ).
fof(f197,plain,
! [X55] :
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| apart_point_and_line(sK1,X55)
| apart_point_and_line(sK1,line_connecting(sK2,sK1))
| apart_point_and_line(sK2,X55)
| apart_point_and_line(sK0,X55) ),
inference(resolution,[],[f71,f42]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK2,sK1))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK1))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK0,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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',cu1) ).
fof(f62,plain,
! [X0] :
( distinct_lines(line_connecting(sK2,sK1),X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f56,f44]) ).
fof(f44,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
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/tmp/tmp.sRUEbSQRl6/Vampire---4.8_32709',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 30 18:28:27 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.41 % (351)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (353)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.41 TRYING [1,1]
% 0.21/0.41 TRYING [2,2]
% 0.21/0.41 TRYING [3,3]
% 0.21/0.41 % (352)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.41 % (356)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.41 % (354)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 Vampire---4 for (476ds/0Mi)
% 0.21/0.41 % (355)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.41 TRYING [4,3]
% 0.21/0.41 % (357)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.41 % (358)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [5,3]
% 0.21/0.41 TRYING [3]
% 0.21/0.41 TRYING [1,1]
% 0.21/0.41 TRYING [2,2]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [3,3]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [6,3]
% 0.21/0.42 TRYING [4,3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [7,3]
% 0.21/0.42 TRYING [5,3]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [6,3]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [8,3]
% 0.21/0.42 % (357)First to succeed.
% 0.21/0.42 TRYING [6]
% 0.21/0.42 TRYING [7,3]
% 0.21/0.42 TRYING [9,3]
% 0.21/0.43 % (357)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (357)------------------------------
% 0.21/0.43 % (357)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (357)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (357)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (357)Memory used [KB]: 5500
% 0.21/0.43 % (357)Time elapsed: 0.012 s
% 0.21/0.43 % (357)------------------------------
% 0.21/0.43 % (357)------------------------------
% 0.21/0.43 % (351)Success in time 0.071 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------