TSTP Solution File: GEO178+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO178+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 : n009.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 16:08:58 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 36 ~; 26 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(subsumption_resolution,[],[f141,f70]) ).
fof(f70,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( distinct_points(sK0,sK2)
& ( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK0) )
& apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X2)
& ( ~ distinct_points(X1,X2)
| ~ distinct_points(X1,X0) )
& apart_point_and_line(X1,line_connecting(X0,X2)) )
=> ( distinct_points(sK0,sK2)
& ( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK0) )
& apart_point_and_line(sK1,line_connecting(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( distinct_points(X0,X2)
& ( ~ distinct_points(X1,X2)
| ~ distinct_points(X1,X0) )
& apart_point_and_line(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( distinct_points(X2,X1)
& ( ~ distinct_points(X0,X1)
| ~ distinct_points(X0,X2) )
& apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X0,X1)
| ~ distinct_points(X0,X2) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( distinct_points(X0,X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f141,plain,
~ distinct_points(sK0,sK2),
inference(resolution,[],[f140,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[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(f140,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(subsumption_resolution,[],[f137,f70]) ).
fof(f137,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) ),
inference(resolution,[],[f83,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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(f83,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK2))
| apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f80,f77]) ).
fof(f77,plain,
! [X1] :
( distinct_points(sK1,X1)
| apart_point_and_line(X1,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f68,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X0] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X2,X0] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f68,plain,
apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f56]) ).
fof(f80,plain,
( ~ distinct_points(sK1,sK0)
| apart_point_and_line(sK2,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f77,f69]) ).
fof(f69,plain,
( ~ distinct_points(sK1,sK2)
| ~ distinct_points(sK1,sK0) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO178+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:22:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (16733)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (16740)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (16740)First to succeed.
% 0.19/0.50 % (16736)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)
% 0.19/0.50 % (16740)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (16740)------------------------------
% 0.19/0.50 % (16740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16740)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (16740)Memory used [KB]: 1407
% 0.19/0.50 % (16740)Time elapsed: 0.093 s
% 0.19/0.50 % (16740)Instructions burned: 4 (million)
% 0.19/0.50 % (16740)------------------------------
% 0.19/0.50 % (16740)------------------------------
% 0.19/0.50 % (16727)Success in time 0.156 s
%------------------------------------------------------------------------------