TSTP Solution File: GEO208+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO208+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 : 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 : Sun May 5 05:16:07 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 67 ( 30 ~; 14 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(subsumption_resolution,[],[f83,f45]) ).
fof(f45,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( distinct_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f83,plain,
apart_point_and_line(sK0,sK1),
inference(resolution,[],[f82,f46]) ).
fof(f46,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f82,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) ),
inference(subsumption_resolution,[],[f77,f47]) ).
fof(f47,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f77,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1)
| convergent_lines(sK1,sK2) ),
inference(resolution,[],[f62,f48]) ).
fof(f48,plain,
distinct_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 22:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12573)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12577)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 % (12576)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)
% 0.14/0.36 % (12579)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (12575)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 % (12578)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12580)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 TRYING [2,1]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (12577)Refutation not found, incomplete strategy% (12577)------------------------------
% 0.14/0.37 % (12577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12577)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12577)Memory used [KB]: 830
% 0.14/0.37 % (12577)Time elapsed: 0.004 s
% 0.14/0.37 % (12577)Instructions burned: 4 (million)
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 % (12577)------------------------------
% 0.14/0.37 % (12577)------------------------------
% 0.14/0.37 % (12579)First to succeed.
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (12575)Refutation not found, incomplete strategy% (12575)------------------------------
% 0.14/0.37 % (12575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (12575)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12575)Memory used [KB]: 830
% 0.14/0.37 % (12575)Time elapsed: 0.003 s
% 0.14/0.37 % (12575)Instructions burned: 4 (million)
% 0.14/0.37 % (12580)Also succeeded, but the first one will report.
% 0.14/0.37 % (12579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12573"
% 0.14/0.37 % (12575)------------------------------
% 0.14/0.37 % (12575)------------------------------
% 0.14/0.37 % (12576)Also succeeded, but the first one will report.
% 0.14/0.37 % (12574)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12579)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 % (12579)------------------------------
% 0.14/0.37 % (12579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12579)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (12579)Memory used [KB]: 788
% 0.14/0.37 % (12579)Time elapsed: 0.004 s
% 0.14/0.37 % (12579)Instructions burned: 4 (million)
% 0.14/0.37 % (12573)Success in time 0.017 s
%------------------------------------------------------------------------------