TSTP Solution File: GEO249+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n016.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 16:09:30 EDT 2022
% Result : Theorem 1.41s 0.53s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 7 |; 19 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 41 ( 29 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(resolution,[],[f184,f152]) ).
fof(f152,plain,
right_apart_point(sK1,sK2),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ~ right_apart_point(sK0,sK2)
& right_apart_point(sK0,parallel_through_point(sK2,sK1))
& right_apart_point(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f121,f122]) ).
fof(f122,plain,
( ? [X0,X1,X2] :
( ~ right_apart_point(X0,X2)
& right_apart_point(X0,parallel_through_point(X2,X1))
& right_apart_point(X1,X2) )
=> ( ~ right_apart_point(sK0,sK2)
& right_apart_point(sK0,parallel_through_point(sK2,sK1))
& right_apart_point(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0,X1,X2] :
( ~ right_apart_point(X0,X2)
& right_apart_point(X0,parallel_through_point(X2,X1))
& right_apart_point(X1,X2) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X1,X2,X0] :
( ~ right_apart_point(X1,X0)
& right_apart_point(X1,parallel_through_point(X0,X2))
& right_apart_point(X2,X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X1,X2,X0] :
( ~ right_apart_point(X1,X0)
& right_apart_point(X1,parallel_through_point(X0,X2))
& right_apart_point(X2,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X1,X2,X0] :
( ( right_apart_point(X1,parallel_through_point(X0,X2))
& right_apart_point(X2,X0) )
=> right_apart_point(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X5,X2] :
( ( right_apart_point(X2,X3)
& right_apart_point(X5,parallel_through_point(X3,X2)) )
=> right_apart_point(X5,X3) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X5,X2] :
( ( right_apart_point(X2,X3)
& right_apart_point(X5,parallel_through_point(X3,X2)) )
=> right_apart_point(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f184,plain,
! [X0,X1] : ~ right_apart_point(X1,X0),
inference(subsumption_resolution,[],[f142,f169]) ).
fof(f169,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f142,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) )
& ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) )
& ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( left_apart_point(X0,reverse_line(X1))
<=> right_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:57:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.27/0.51 % (3632)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.27/0.52 % (3622)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.27/0.52 % (3624)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.27/0.53 % (3639)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.27/0.53 % (3637)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.53 % (3622)First to succeed.
% 1.27/0.53 % (3625)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (3632)Also succeeded, but the first one will report.
% 1.41/0.53 % (3635)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (3622)Refutation found. Thanks to Tanya!
% 1.41/0.53 % SZS status Theorem for theBenchmark
% 1.41/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.53 % (3622)------------------------------
% 1.41/0.53 % (3622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53 % (3622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53 % (3622)Termination reason: Refutation
% 1.41/0.53
% 1.41/0.53 % (3622)Memory used [KB]: 6012
% 1.41/0.53 % (3622)Time elapsed: 0.123 s
% 1.41/0.53 % (3622)Instructions burned: 4 (million)
% 1.41/0.53 % (3622)------------------------------
% 1.41/0.53 % (3622)------------------------------
% 1.41/0.53 % (3621)Success in time 0.179 s
%------------------------------------------------------------------------------