TSTP Solution File: GEO208+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n013.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 16:09:13 EDT 2022
% Result : Theorem 0.22s 0.59s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 73 ( 33 ~; 13 |; 22 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 33 ( 21 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(subsumption_resolution,[],[f63,f45]) ).
fof(f45,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ apart_point_and_line(sK1,sK0)
& distinct_lines(sK2,sK0)
& ~ convergent_lines(sK2,sK0)
& ~ apart_point_and_line(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
& distinct_lines(X2,X0)
& ~ convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X2) )
=> ( ~ apart_point_and_line(sK1,sK0)
& distinct_lines(sK2,sK0)
& ~ convergent_lines(sK2,sK0)
& ~ apart_point_and_line(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
& distinct_lines(X2,X0)
& ~ convergent_lines(X2,X0)
& ~ apart_point_and_line(X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
& distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X2,X1,X0] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X2,X1,X0] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f63,plain,
apart_point_and_line(sK1,sK0),
inference(unit_resulting_resolution,[],[f42,f43,f44,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X0)
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f44,plain,
distinct_lines(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f43,plain,
~ convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f42,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:24:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.58 % (7815)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)
% 0.22/0.58 % (7816)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.58 % (7817)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)
% 0.22/0.58 % (7816)First to succeed.
% 0.22/0.58 % (7817)Also succeeded, but the first one will report.
% 0.22/0.59 % (7816)Refutation found. Thanks to Tanya!
% 0.22/0.59 % SZS status Theorem for theBenchmark
% 0.22/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.59 % (7816)------------------------------
% 0.22/0.59 % (7816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (7816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (7816)Termination reason: Refutation
% 0.22/0.59
% 0.22/0.59 % (7816)Memory used [KB]: 5884
% 0.22/0.59 % (7816)Time elapsed: 0.145 s
% 0.22/0.59 % (7816)Instructions burned: 2 (million)
% 0.22/0.59 % (7816)------------------------------
% 0.22/0.59 % (7816)------------------------------
% 0.22/0.59 % (7808)Success in time 0.225 s
%------------------------------------------------------------------------------