TSTP Solution File: GEO248+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO248+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 : n003.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 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 16 |; 13 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(resolution,[],[f164,f117]) ).
fof(f117,plain,
apart_point_and_line(sK1,sK3),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ~ apart_point_and_line(sK2,sK3)
& apart_point_and_line(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f73,f110]) ).
fof(f110,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& apart_point_and_line(X0,X2) )
=> ( ~ apart_point_and_line(sK2,sK3)
& apart_point_and_line(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
~ ! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
=> apart_point_and_line(X1,X2) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X1,parallel_lines(X2,X0))
& apart_point_and_line(X0,X2) )
=> apart_point_and_line(X1,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X3] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X3] :
( ( incident_point_and_line(X5,parallel_lines(X3,X2))
& apart_point_and_line(X2,X3) )
=> apart_point_and_line(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f164,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(subsumption_resolution,[],[f163,f144]) ).
fof(f144,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,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(f163,plain,
! [X0,X1] :
( left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(subsumption_resolution,[],[f138,f162]) ).
fof(f162,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(subsumption_resolution,[],[f136,f144]) ).
fof(f136,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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) ).
fof(f138,plain,
! [X0,X1] :
( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) )
& ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) )
& ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( apart_point_and_line(X2,X3)
<=> ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO248+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
% 0.14/0.35 % Computer : n003.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 21:54:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (10657)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10659)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (10662)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (10663)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (10660)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 % (10661)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 % (10658)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (10664)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 % (10662)First to succeed.
% 0.14/0.37 % (10663)Also succeeded, but the first one will report.
% 0.14/0.37 % (10662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10657"
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (10660)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (10658)Also succeeded, but the first one will report.
% 0.14/0.38 % (10662)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (10662)------------------------------
% 0.14/0.38 % (10662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (10662)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (10662)Memory used [KB]: 848
% 0.14/0.38 % (10662)Time elapsed: 0.004 s
% 0.14/0.38 % (10662)Instructions burned: 4 (million)
% 0.14/0.38 % (10657)Success in time 0.021 s
%------------------------------------------------------------------------------