TSTP Solution File: GEO247+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO247+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 : n026.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 11:14:59 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 80 ( 12 ~; 2 |; 62 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 44 ( 26 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(resolution,[],[f153,f125]) ).
fof(f125,plain,
left_apart_point(sK3,sK5),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ~ convergent_lines(sK4,sK5)
& left_apart_point(sK3,sK5)
& right_apart_point(sK3,sK4)
& right_apart_point(sK2,sK5)
& left_apart_point(sK2,sK4)
& right_apart_point(sK1,sK5)
& right_apart_point(sK1,sK4)
& left_apart_point(sK0,sK5)
& left_apart_point(sK0,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f76,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ convergent_lines(X4,X5)
& left_apart_point(X3,X5)
& right_apart_point(X3,X4)
& right_apart_point(X2,X5)
& left_apart_point(X2,X4)
& right_apart_point(X1,X5)
& right_apart_point(X1,X4)
& left_apart_point(X0,X5)
& left_apart_point(X0,X4) )
=> ( ~ convergent_lines(sK4,sK5)
& left_apart_point(sK3,sK5)
& right_apart_point(sK3,sK4)
& right_apart_point(sK2,sK5)
& left_apart_point(sK2,sK4)
& right_apart_point(sK1,sK5)
& right_apart_point(sK1,sK4)
& left_apart_point(sK0,sK5)
& left_apart_point(sK0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ convergent_lines(X4,X5)
& left_apart_point(X3,X5)
& right_apart_point(X3,X4)
& right_apart_point(X2,X5)
& left_apart_point(X2,X4)
& right_apart_point(X1,X5)
& right_apart_point(X1,X4)
& left_apart_point(X0,X5)
& left_apart_point(X0,X4) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ convergent_lines(X4,X5)
& left_apart_point(X3,X5)
& right_apart_point(X3,X4)
& right_apart_point(X2,X5)
& left_apart_point(X2,X4)
& right_apart_point(X1,X5)
& right_apart_point(X1,X4)
& left_apart_point(X0,X5)
& left_apart_point(X0,X4) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( left_apart_point(X3,X5)
& right_apart_point(X3,X4)
& right_apart_point(X2,X5)
& left_apart_point(X2,X4)
& right_apart_point(X1,X5)
& right_apart_point(X1,X4)
& left_apart_point(X0,X5)
& left_apart_point(X0,X4) )
=> convergent_lines(X4,X5) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X6,X8,X3,X4] :
( ( left_apart_point(X8,X4)
& right_apart_point(X8,X3)
& right_apart_point(X6,X4)
& left_apart_point(X6,X3)
& right_apart_point(X5,X4)
& right_apart_point(X5,X3)
& left_apart_point(X2,X4)
& left_apart_point(X2,X3) )
=> convergent_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X6,X8,X3,X4] :
( ( left_apart_point(X8,X4)
& right_apart_point(X8,X3)
& right_apart_point(X6,X4)
& left_apart_point(X6,X3)
& right_apart_point(X5,X4)
& right_apart_point(X5,X3)
& left_apart_point(X2,X4)
& left_apart_point(X2,X3) )
=> convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f153,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f96]) ).
fof(f96,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.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 06:00:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (21999)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (22003)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 % (22000)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (22001)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (22002)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 % (22005)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (22004)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (22006)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)
% 0.13/0.38 % (22005)First to succeed.
% 0.13/0.38 TRYING [1,1,1,1]
% 0.13/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.38 % (22003)Refutation not found, incomplete strategy% (22003)------------------------------
% 0.13/0.38 % (22003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (22003)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38 % (22003)Memory used [KB]: 871
% 0.13/0.38 % (22003)Time elapsed: 0.006 s
% 0.13/0.38 % (22003)Instructions burned: 8 (million)
% 0.13/0.38 % (22003)------------------------------
% 0.13/0.38 % (22003)------------------------------
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (22004)Also succeeded, but the first one will report.
% 0.13/0.38 % (22000)Also succeeded, but the first one will report.
% 0.13/0.38 % (22005)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (22005)------------------------------
% 0.13/0.38 % (22005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (22005)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (22005)Memory used [KB]: 850
% 0.13/0.38 % (22005)Time elapsed: 0.004 s
% 0.13/0.38 % (22005)Instructions burned: 4 (million)
% 0.13/0.38 % (22005)------------------------------
% 0.13/0.38 % (22005)------------------------------
% 0.13/0.38 % (21999)Success in time 0.021 s
%------------------------------------------------------------------------------