TSTP Solution File: GEO252+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n023.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 16:09:31 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 48 ( 18 ~; 7 |; 19 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 15 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f127,f116]) ).
fof(f116,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f127,plain,
left_apart_point(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( left_apart_point(sK2,sK1)
& left_apart_point(sK0,reverse_line(sK1))
& ( ~ distinct_points(sK2,sK0)
| ~ left_convergent_lines(line_connecting(sK2,sK0),sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f102,f103]) ).
fof(f103,plain,
( ? [X0,X1,X2] :
( left_apart_point(X2,X1)
& left_apart_point(X0,reverse_line(X1))
& ( ~ distinct_points(X2,X0)
| ~ left_convergent_lines(line_connecting(X2,X0),X1) ) )
=> ( left_apart_point(sK2,sK1)
& left_apart_point(sK0,reverse_line(sK1))
& ( ~ distinct_points(sK2,sK0)
| ~ left_convergent_lines(line_connecting(sK2,sK0),sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1,X2] :
( left_apart_point(X2,X1)
& left_apart_point(X0,reverse_line(X1))
& ( ~ distinct_points(X2,X0)
| ~ left_convergent_lines(line_connecting(X2,X0),X1) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
? [X1,X2,X0] :
( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2))
& ( ~ distinct_points(X0,X1)
| ~ left_convergent_lines(line_connecting(X0,X1),X2) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X0,X1)
| ~ left_convergent_lines(line_connecting(X0,X1),X2) )
& left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& left_apart_point(X1,reverse_line(X2)) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
& distinct_points(X0,X3) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( left_apart_point(X3,reverse_line(X1))
& left_apart_point(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
& distinct_points(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:55:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.49 % (4979)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.49 % (4966)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.49 % (4963)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49 % (4989)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.49 % (4966)First to succeed.
% 0.18/0.50 % (4977)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (4980)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.50 % (4958)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (4965)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50 % (4966)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (4966)------------------------------
% 0.18/0.50 % (4966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (4966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (4966)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (4966)Memory used [KB]: 6012
% 0.18/0.50 % (4966)Time elapsed: 0.006 s
% 0.18/0.50 % (4966)Instructions burned: 3 (million)
% 0.18/0.50 % (4966)------------------------------
% 0.18/0.50 % (4966)------------------------------
% 0.18/0.50 % (4951)Success in time 0.158 s
%------------------------------------------------------------------------------