TSTP Solution File: GEO217+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 05:16:12 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 34 ~; 10 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 26 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(resolution,[],[f95,f51]) ).
fof(f51,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( convergent_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ convergent_lines(X0,X1) )
=> ( convergent_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X2)
& ~ convergent_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ convergent_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ convergent_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f95,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f85,f79]) ).
fof(f79,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f75,f54]) ).
fof(f54,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(f75,plain,
! [X0] :
( convergent_lines(X0,sK1)
| ~ convergent_lines(X0,sK0) ),
inference(resolution,[],[f63,f49]) ).
fof(f49,plain,
~ convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f63,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f85,plain,
! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK2) ),
inference(resolution,[],[f82,f63]) ).
fof(f82,plain,
~ convergent_lines(sK2,sK0),
inference(resolution,[],[f76,f54]) ).
fof(f76,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK0) ),
inference(resolution,[],[f63,f50]) ).
fof(f50,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 22:03:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (8310)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (8312)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (8314)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (8313)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (8315)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (8316)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (8311)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (8317)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (8313)First to succeed.
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.37 % (8313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8310"
% 0.15/0.37 % (8316)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [3]
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (8312)Refutation not found, incomplete strategy% (8312)------------------------------
% 0.15/0.37 % (8312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.37 % (8312)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37 % (8314)Refutation not found, incomplete strategy% (8314)------------------------------
% 0.15/0.37 % (8314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37
% 0.15/0.37 % (8312)Memory used [KB]: 836
% 0.15/0.37 % (8312)Time elapsed: 0.005 s
% 0.15/0.37 % (8312)Instructions burned: 6 (million)
% 0.15/0.37 % (8314)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37 % (8311)Also succeeded, but the first one will report.
% 0.15/0.37
% 0.15/0.37 % (8314)Memory used [KB]: 836
% 0.15/0.37 % (8314)Time elapsed: 0.005 s
% 0.15/0.37 % (8314)Instructions burned: 6 (million)
% 0.15/0.38 % (8312)------------------------------
% 0.15/0.38 % (8312)------------------------------
% 0.15/0.38 % (8314)------------------------------
% 0.15/0.38 % (8314)------------------------------
% 0.15/0.38 % (8313)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (8313)------------------------------
% 0.15/0.38 % (8313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (8313)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (8313)Memory used [KB]: 860
% 0.15/0.38 % (8313)Time elapsed: 0.005 s
% 0.15/0.38 % (8313)Instructions burned: 4 (million)
% 0.15/0.38 % (8310)Success in time 0.011 s
%------------------------------------------------------------------------------