TSTP Solution File: GEO225+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO225+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 : n017.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 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 84 ( 29 ~; 15 |; 29 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 35 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(subsumption_resolution,[],[f154,f106]) ).
fof(f106,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ! [X2] :
( ( ~ incident_point_and_line(sK3,X2)
| ~ incident_point_and_line(sK2,X2) )
& line(X2) )
& distinct_points(sK2,sK3)
& point(sK3)
& point(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f54,f98]) ).
fof(f98,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ( ! [X2] :
( ( ~ incident_point_and_line(sK3,X2)
| ~ incident_point_and_line(sK2,X2) )
& line(X2) )
& distinct_points(sK2,sK3)
& point(sK3)
& point(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X9)
& point(X8) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X9)
& point(X8) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f154,plain,
~ distinct_points(sK2,sK3),
inference(resolution,[],[f153,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f153,plain,
apart_point_and_line(sK2,line_connecting(sK2,sK3)),
inference(resolution,[],[f152,f106]) ).
fof(f152,plain,
! [X0] :
( ~ distinct_points(X0,sK3)
| apart_point_and_line(sK2,line_connecting(X0,sK3)) ),
inference(resolution,[],[f119,f148]) ).
fof(f148,plain,
! [X0] :
( apart_point_and_line(sK3,X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f147,f126]) ).
fof(f126,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f147,plain,
! [X0] :
( ~ incident_point_and_line(sK2,X0)
| apart_point_and_line(sK3,X0) ),
inference(resolution,[],[f126,f108]) ).
fof(f108,plain,
! [X2] :
( ~ incident_point_and_line(sK3,X2)
| ~ incident_point_and_line(sK2,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f119,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] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',ci2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.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 : Tue Apr 30 05:19:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (10308)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (10310)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (10311)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)
% 0.13/0.37 % (10309)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (10312)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (10313)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (10314)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (10315)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (10313)First to succeed.
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (10314)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (10311)Also succeeded, but the first one will report.
% 0.13/0.37 % (10313)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (10313)------------------------------
% 0.13/0.37 % (10313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (10313)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (10313)Memory used [KB]: 943
% 0.13/0.37 % (10313)Time elapsed: 0.005 s
% 0.13/0.37 % (10313)Instructions burned: 4 (million)
% 0.13/0.37 % (10313)------------------------------
% 0.13/0.37 % (10313)------------------------------
% 0.13/0.37 % (10308)Success in time 0.021 s
%------------------------------------------------------------------------------