TSTP Solution File: GEO171+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO171+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 : n002.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 16:12:05 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 19 ~; 22 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(subsumption_resolution,[],[f201,f162]) ).
fof(f162,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f201,plain,
distinct_lines(sK0,sK0),
inference(resolution,[],[f200,f172]) ).
fof(f172,plain,
~ distinct_lines(sK1,sK0),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ~ distinct_lines(sK1,sK0)
& convergent_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1] :
( ~ distinct_lines(X1,X0)
& convergent_lines(X1,X0) )
=> ( ~ distinct_lines(sK1,sK0)
& convergent_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1] :
( ~ distinct_lines(X1,X0)
& convergent_lines(X1,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
? [X1,X0] :
( ~ distinct_lines(X0,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f200,plain,
! [X0] :
( distinct_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f173,f183]) ).
fof(f183,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f181,f147]) ).
fof(f147,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f181,plain,
! [X0] :
( convergent_lines(sK1,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f135,f171]) ).
fof(f171,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f129]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
=> ( distinct_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| ~ distinct_lines(X2,X1)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO171+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 21:35:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (537)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.47 % (545)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.47 % (545)First to succeed.
% 0.20/0.47 % (545)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (545)------------------------------
% 0.20/0.47 % (545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (545)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (545)Memory used [KB]: 1023
% 0.20/0.47 % (545)Time elapsed: 0.085 s
% 0.20/0.47 % (545)Instructions burned: 3 (million)
% 0.20/0.47 % (545)------------------------------
% 0.20/0.47 % (545)------------------------------
% 0.20/0.47 % (529)Success in time 0.122 s
%------------------------------------------------------------------------------