TSTP Solution File: GEO177+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 16:08:57 EDT 2022
% Result : Theorem 1.73s 0.60s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 41 ~; 48 |; 13 &)
% ( 2 <=>; 14 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 64 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f267,f273]) ).
fof(f273,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f272]) ).
fof(f272,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f252,f83]) ).
fof(f83,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f58,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f58,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,X1)
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X3,X2))
| apart_point_and_line(X1,line_connecting(X3,X2)) )
& distinct_points(X3,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X2,X3,X0,X1] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X3,X2))
| apart_point_and_line(X1,line_connecting(X3,X2)) )
& distinct_points(X0,X1)
& distinct_points(X3,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X3,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_points(X3,X2) )
=> ( ( apart_point_and_line(X0,line_connecting(X3,X2))
| apart_point_and_line(X1,line_connecting(X3,X2)) )
=> ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X4,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X3,X4) )
=> ( ( apart_point_and_line(X0,line_connecting(X3,X4))
| apart_point_and_line(X1,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X4,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X3,X4) )
=> ( ( apart_point_and_line(X0,line_connecting(X3,X4))
| apart_point_and_line(X1,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f252,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f114,f94]) ).
fof(f94,plain,
( ! [X1] :
( apart_point_and_line(sK0,X1)
| distinct_lines(line_connecting(sK3,sK2),X1) )
| ~ spl4_2 ),
inference(resolution,[],[f73,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X2,X1] :
( 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(f73,plain,
( apart_point_and_line(sK0,line_connecting(sK3,sK2))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_2
<=> apart_point_and_line(sK0,line_connecting(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f114,plain,
~ distinct_lines(line_connecting(sK3,sK2),line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f56,f57,f55,f75,f78,f60]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X2,X1,X3] :
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X3,X2] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X3,X2] :
( ( distinct_lines(X3,X2)
& distinct_points(X1,X0) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X4,X3] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f78,plain,
~ apart_point_and_line(sK3,line_connecting(sK3,sK2)),
inference(unit_resulting_resolution,[],[f55,f49]) ).
fof(f75,plain,
~ apart_point_and_line(sK2,line_connecting(sK3,sK2)),
inference(unit_resulting_resolution,[],[f55,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f55,plain,
distinct_points(sK3,sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f57,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f56,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f267,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f258,f67]) ).
fof(f67,plain,
( spl4_1
<=> apart_point_and_line(sK1,line_connecting(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f258,plain,
~ apart_point_and_line(sK1,line_connecting(sK3,sK2)),
inference(unit_resulting_resolution,[],[f80,f114,f48]) ).
fof(f80,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f58,f61]) ).
fof(f74,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f54,f71,f67]) ).
fof(f54,plain,
( apart_point_and_line(sK0,line_connecting(sK3,sK2))
| apart_point_and_line(sK1,line_connecting(sK3,sK2)) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:23:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.54/0.57 % (11490)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.73/0.57 % (11489)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.73/0.58 % (11490)First to succeed.
% 1.73/0.58 % (11505)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.73/0.58 % (11506)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.58 % (11488)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.73/0.58 % (11498)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/0.59 % (11497)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.73/0.59 % (11497)Instruction limit reached!
% 1.73/0.59 % (11497)------------------------------
% 1.73/0.59 % (11497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59 % (11496)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.73/0.60 % (11495)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/0.60 % (11490)Refutation found. Thanks to Tanya!
% 1.73/0.60 % SZS status Theorem for theBenchmark
% 1.73/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.60 % (11490)------------------------------
% 1.73/0.60 % (11490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (11490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (11490)Termination reason: Refutation
% 1.73/0.60
% 1.73/0.60 % (11490)Memory used [KB]: 6012
% 1.73/0.60 % (11490)Time elapsed: 0.151 s
% 1.73/0.60 % (11490)Instructions burned: 9 (million)
% 1.73/0.60 % (11490)------------------------------
% 1.73/0.60 % (11490)------------------------------
% 1.73/0.60 % (11481)Success in time 0.249 s
%------------------------------------------------------------------------------