TSTP Solution File: GEO246+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO246+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 05:16:23 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 5 |; 12 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(resolution,[],[f163,f118]) ).
fof(f118,plain,
right_apart_point(sK3,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& right_apart_point(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f74,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& right_apart_point(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ left_apart_point(sK2,line_connecting(sK1,sK3))
& right_apart_point(sK3,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& right_apart_point(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& right_apart_point(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( right_apart_point(X2,line_connecting(X0,X1))
=> left_apart_point(X1,line_connecting(X0,X2)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X6] :
( distinct_points(X2,X5)
=> ( right_apart_point(X6,line_connecting(X2,X5))
=> left_apart_point(X5,line_connecting(X2,X6)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X6] :
( distinct_points(X2,X5)
=> ( right_apart_point(X6,line_connecting(X2,X5))
=> left_apart_point(X5,line_connecting(X2,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f163,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(subsumption_resolution,[],[f139,f144]) ).
fof(f144,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f139,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO246+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:59:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18001)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (18005)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (18003)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (18002)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (18006)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (18004)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)
% 0.14/0.37 % (18007)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (18008)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)
% 0.14/0.37 % (18006)First to succeed.
% 0.14/0.37 % (18007)Also succeeded, but the first one will report.
% 0.14/0.37 % (18006)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18001"
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (18004)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (18006)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (18006)------------------------------
% 0.14/0.37 % (18006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (18006)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (18006)Memory used [KB]: 835
% 0.14/0.37 % (18006)Time elapsed: 0.004 s
% 0.14/0.37 % (18006)Instructions burned: 4 (million)
% 0.14/0.37 % (18001)Success in time 0.02 s
%------------------------------------------------------------------------------