TSTP Solution File: GEO213+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO213+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 : n012.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 16:09:16 EDT 2022
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 43 ~; 42 |; 24 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 93 ( 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f141,f126]) ).
fof(f126,plain,
convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f85,f101,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f101,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f78,f69]) ).
fof(f69,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f78,plain,
~ distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f71,f57,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f57,plain,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ~ unorthogonal_lines(sK2,sK1)
& ~ distinct_lines(sK0,sK1)
& unorthogonal_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ distinct_lines(X0,X1)
& unorthogonal_lines(X0,X2) )
=> ( ~ unorthogonal_lines(sK2,sK1)
& ~ distinct_lines(sK0,sK1)
& unorthogonal_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X2,X1)
& ~ distinct_lines(X0,X1)
& unorthogonal_lines(X0,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X0)
& ~ distinct_lines(X2,X0)
& unorthogonal_lines(X2,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X1,X0,X2] :
( ~ unorthogonal_lines(X1,X0)
& ~ distinct_lines(X2,X0)
& unorthogonal_lines(X2,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0,X2] :
( unorthogonal_lines(X2,X1)
=> ( unorthogonal_lines(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X7,X6,X5] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X7,X6,X5] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f71,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(f85,plain,
convergent_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f58,f68]) ).
fof(f68,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( convergent_lines(X5,X6)
| unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f58,plain,
~ unorthogonal_lines(sK2,sK1),
inference(cnf_transformation,[],[f49]) ).
fof(f141,plain,
~ convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f65,f102,f64]) ).
fof(f102,plain,
~ convergent_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f58,f56,f80,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X2,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X2,X0)
& convergent_lines(X2,X0) )
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( convergent_lines(X5,X6)
& unorthogonal_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
fof(f80,plain,
~ convergent_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f57,f69]) ).
fof(f56,plain,
unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f65,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 : n012.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 21:28:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (32015)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (31998)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)
% 0.20/0.54 % (31999)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)
% 0.20/0.54 % (31999)First to succeed.
% 0.20/0.55 % (32007)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)
% 0.20/0.55 % (32007)Instruction limit reached!
% 0.20/0.55 % (32007)------------------------------
% 0.20/0.55 % (32007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (31999)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55 % (31999)------------------------------
% 1.51/0.55 % (31999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (31999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (31999)Termination reason: Refutation
% 1.51/0.55
% 1.51/0.55 % (31999)Memory used [KB]: 5884
% 1.51/0.55 % (31999)Time elapsed: 0.120 s
% 1.51/0.55 % (31999)Instructions burned: 3 (million)
% 1.51/0.55 % (31999)------------------------------
% 1.51/0.55 % (31999)------------------------------
% 1.51/0.55 % (31991)Success in time 0.2 s
%------------------------------------------------------------------------------