TSTP Solution File: GEO249+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO249+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 16:12:28 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 19 ~; 5 |; 18 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 27 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(resolution,[],[f177,f164]) ).
fof(f164,plain,
right_apart_point(sK2,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( right_apart_point(sK1,parallel_through_point(sK0,sK2))
& ~ right_apart_point(sK1,sK0)
& right_apart_point(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1,X2] :
( right_apart_point(X1,parallel_through_point(X0,X2))
& ~ right_apart_point(X1,X0)
& right_apart_point(X2,X0) )
=> ( right_apart_point(sK1,parallel_through_point(sK0,sK2))
& ~ right_apart_point(sK1,sK0)
& right_apart_point(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0,X1,X2] :
( right_apart_point(X1,parallel_through_point(X0,X2))
& ~ right_apart_point(X1,X0)
& right_apart_point(X2,X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
? [X1,X2,X0] :
( right_apart_point(X2,parallel_through_point(X1,X0))
& ~ right_apart_point(X2,X1)
& right_apart_point(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X2,X1] :
( ~ right_apart_point(X2,X1)
& right_apart_point(X0,X1)
& right_apart_point(X2,parallel_through_point(X1,X0)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ! [X0,X2,X1] :
( ( right_apart_point(X0,X1)
& right_apart_point(X2,parallel_through_point(X1,X0)) )
=> right_apart_point(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X3,X5] :
( ( right_apart_point(X5,parallel_through_point(X3,X2))
& right_apart_point(X2,X3) )
=> right_apart_point(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X3,X5] :
( ( right_apart_point(X5,parallel_through_point(X3,X2))
& right_apart_point(X2,X3) )
=> right_apart_point(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f177,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(subsumption_resolution,[],[f154,f132]) ).
fof(f132,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(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(f154,plain,
! [X0,X1] :
( ~ right_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO249+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 21:37:35 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (8275)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50 % (8267)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50 % (8275)First to succeed.
% 0.21/0.50 % (8267)Also succeeded, but the first one will report.
% 0.21/0.50 % (8259)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (8275)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (8275)------------------------------
% 0.21/0.50 % (8275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (8275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (8275)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (8275)Memory used [KB]: 1023
% 0.21/0.50 % (8275)Time elapsed: 0.060 s
% 0.21/0.50 % (8275)Instructions burned: 2 (million)
% 0.21/0.50 % (8275)------------------------------
% 0.21/0.50 % (8275)------------------------------
% 0.21/0.50 % (8252)Success in time 0.15 s
%------------------------------------------------------------------------------