TSTP Solution File: GEO182+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO182+2 : 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 : n014.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 14:43:18 EDT 2023
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 10 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 181 ( 63 ~; 87 |; 15 &)
% ( 5 <=>; 11 =>; 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 : 84 (; 75 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[f211,f231,f288,f379,f404,f480]) ).
fof(f480,plain,
~ spl3_14,
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f454,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/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',apart1) ).
fof(f454,plain,
( distinct_points(sK0,sK0)
| ~ spl3_14 ),
inference(resolution,[],[f434,f54]) ).
fof(f54,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f48,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK1,sK0))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK2,line_connecting(sK1,sK0))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',con) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,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/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',apart4) ).
fof(f434,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f430,f42]) ).
fof(f430,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK1,sK0)
| ~ spl3_14 ),
inference(resolution,[],[f378,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,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(flattening,[],[f27]) ).
fof(f27,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(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,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/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',con1) ).
fof(f378,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl3_14
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f404,plain,
~ spl3_13,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f389,f42]) ).
fof(f389,plain,
( distinct_points(sK0,sK0)
| ~ spl3_13 ),
inference(resolution,[],[f384,f54]) ).
fof(f384,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f381,f42]) ).
fof(f381,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK1,sK0)
| ~ spl3_13 ),
inference(resolution,[],[f374,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f374,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl3_13
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f379,plain,
( spl3_13
| spl3_14
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f366,f209,f376,f372]) ).
fof(f209,plain,
( spl3_5
<=> ! [X21] :
( apart_point_and_line(sK0,X21)
| apart_point_and_line(sK2,X21)
| apart_point_and_line(sK1,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f366,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_5 ),
inference(resolution,[],[f210,f39]) ).
fof(f39,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f36]) ).
fof(f210,plain,
( ! [X21] :
( apart_point_and_line(sK2,X21)
| apart_point_and_line(sK0,X21)
| apart_point_and_line(sK1,X21) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f288,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f286,f37]) ).
fof(f286,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f282,f42]) ).
fof(f282,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f195,f50]) ).
fof(f195,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl3_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f231,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f229,f37]) ).
fof(f229,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f226,f42]) ).
fof(f226,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f203,f49]) ).
fof(f203,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl3_3
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f211,plain,
( spl3_1
| spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f163,f209,f201,f193]) ).
fof(f163,plain,
! [X21] :
( apart_point_and_line(sK0,X21)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,X21)
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X21) ),
inference(resolution,[],[f85,f37]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X2) ),
inference(resolution,[],[f53,f55]) ).
fof(f55,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f51,f38]) ).
fof(f38,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',ceq2) ).
fof(f53,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,[],[f34]) ).
fof(f34,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,[],[f33]) ).
fof(f33,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,[],[f15]) ).
fof(f15,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,[],[f9]) ).
fof(f9,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/tmp/tmp.noX9AnMp5H/Vampire---4.8_15545',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n014.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 : Wed Aug 30 18:05:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.41 % (15702)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (15706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.42 % (15704)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.42 % (15707)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.42 % (15705)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)
% 0.20/0.42 % (15708)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.42 % (15703)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.42 % (15709)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)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [1,1]
% 0.20/0.42 TRYING [1,1]
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [2,2]
% 0.20/0.42 TRYING [2]
% 0.20/0.42 TRYING [2,2]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [3,2]
% 0.20/0.42 TRYING [3,2]
% 0.20/0.42 TRYING [3]
% 0.20/0.42 TRYING [4,2]
% 0.20/0.42 TRYING [4,2]
% 0.20/0.42 TRYING [4]
% 0.20/0.42 TRYING [4]
% 0.20/0.42 TRYING [3,3]
% 0.20/0.42 TRYING [3,3]
% 0.20/0.42 TRYING [5]
% 0.20/0.42 TRYING [5,2]
% 0.20/0.42 TRYING [5,2]
% 0.20/0.42 TRYING [4,3]
% 0.20/0.42 TRYING [4,3]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [6]
% 0.20/0.43 TRYING [6,2]
% 0.20/0.43 TRYING [6,2]
% 0.20/0.43 % (15708)First to succeed.
% 0.20/0.43 TRYING [5,3]
% 0.20/0.43 TRYING [5,3]
% 0.20/0.43 % (15708)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for Vampire---4
% 0.20/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43 % (15708)------------------------------
% 0.20/0.43 % (15708)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (15708)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (15708)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (15708)Memory used [KB]: 5500
% 0.20/0.43 % (15708)Time elapsed: 0.012 s
% 0.20/0.43 % (15708)------------------------------
% 0.20/0.43 % (15708)------------------------------
% 0.20/0.43 % (15702)Success in time 0.074 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------