TSTP Solution File: GEO225+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO225+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 : n018.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 : Tue Apr 30 11:14:52 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 69 ( 20 ~; 11 |; 29 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f83,f59]) ).
fof(f59,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f55]) ).
fof(f55,plain,
( ? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f83,plain,
~ distinct_points(sK0,sK1),
inference(resolution,[],[f82,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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(f82,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f81,f59]) ).
fof(f81,plain,
! [X0] :
( ~ distinct_points(X0,sK1)
| apart_point_and_line(sK0,line_connecting(X0,sK1)) ),
inference(resolution,[],[f68,f61]) ).
fof(f61,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:57:43 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (17423)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17429)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (17424)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (17428)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (17425)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17430)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)
% 0.15/0.38 % (17427)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (17426)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (17428)First to succeed.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.39 TRYING [1,1]
% 0.15/0.39 TRYING [2,2]
% 0.15/0.39 % (17426)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3,2]
% 0.15/0.39 TRYING [3,2]
% 0.15/0.39 % (17429)Also succeeded, but the first one will report.
% 0.15/0.39 % (17428)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (17428)------------------------------
% 0.15/0.39 % (17428)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (17428)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (17428)Memory used [KB]: 773
% 0.15/0.39 % (17428)Time elapsed: 0.004 s
% 0.15/0.39 % (17428)Instructions burned: 3 (million)
% 0.15/0.39 % (17428)------------------------------
% 0.15/0.39 % (17428)------------------------------
% 0.15/0.39 % (17423)Success in time 0.02 s
%------------------------------------------------------------------------------