TSTP Solution File: GEO256+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO256+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 : n011.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 11:15:02 EDT 2024
% Result : Theorem 0.19s 0.35s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 69 ( 17 ~; 5 |; 40 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 38 ( 23 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(resolution,[],[f150,f122]) ).
fof(f122,plain,
left_apart_point(sK5,sK1),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ~ before_on_line(sK1,sK4,sK3)
& ~ before_on_line(sK1,sK2,sK4)
& before_on_line(sK1,sK2,sK3)
& left_apart_point(sK5,sK1)
& incident_point_and_line(sK4,sK1)
& distinct_points(sK3,sK4)
& distinct_points(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f74,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( ~ before_on_line(sK1,sK4,sK3)
& ~ before_on_line(sK1,sK2,sK4)
& before_on_line(sK1,sK2,sK3)
& left_apart_point(sK5,sK1)
& incident_point_and_line(sK4,sK1)
& distinct_points(sK3,sK4)
& distinct_points(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( left_apart_point(X4,X0)
& incident_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X3) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5,X6,X8] :
( ( left_apart_point(X8,X3)
& incident_point_and_line(X6,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( before_on_line(X3,X2,X5)
=> ( before_on_line(X3,X6,X5)
| before_on_line(X3,X2,X6) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5,X6,X8] :
( ( left_apart_point(X8,X3)
& incident_point_and_line(X6,X3)
& distinct_points(X5,X6)
& distinct_points(X2,X6) )
=> ( before_on_line(X3,X2,X5)
=> ( before_on_line(X3,X6,X5)
| before_on_line(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f150,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/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO256+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 05:52:46 EDT 2024
% 0.19/0.33 % CPUTime :
% 0.19/0.33 % (25105)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.35 % (25109)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.35 % (25111)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.35 % (25106)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.35 % (25107)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.35 % (25110)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.35 % (25112)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)
% 0.19/0.35 % (25108)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)
% 0.19/0.35 % (25110)First to succeed.
% 0.19/0.35 % (25111)Also succeeded, but the first one will report.
% 0.19/0.35 TRYING [1]
% 0.19/0.35 TRYING [2]
% 0.19/0.35 % (25110)Refutation found. Thanks to Tanya!
% 0.19/0.35 % SZS status Theorem for theBenchmark
% 0.19/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.35 % (25110)------------------------------
% 0.19/0.35 % (25110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.35 % (25110)Termination reason: Refutation
% 0.19/0.35
% 0.19/0.35 % (25110)Memory used [KB]: 850
% 0.19/0.35 % (25110)Time elapsed: 0.003 s
% 0.19/0.35 % (25110)Instructions burned: 4 (million)
% 0.19/0.35 % (25110)------------------------------
% 0.19/0.35 % (25110)------------------------------
% 0.19/0.35 % (25105)Success in time 0.017 s
%------------------------------------------------------------------------------