TSTP Solution File: GEO217+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO217+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Mon May 20 20:15:21 EDT 2024
% Result : Theorem 0.11s 0.33s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 16 |; 13 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 27 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f138]) ).
fof(f138,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f133,f49]) ).
fof(f49,plain,
~ convergent_lines(sK0,sK1),
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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f133,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f115,f54]) ).
fof(f54,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f115,plain,
( ! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f110,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
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/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f110,plain,
( convergent_lines(sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl3_2
<=> convergent_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f113,plain,
spl3_2,
inference(avatar_split_clause,[],[f112,f108]) ).
fof(f112,plain,
convergent_lines(sK1,sK0),
inference(subsumption_resolution,[],[f96,f54]) ).
fof(f96,plain,
( convergent_lines(sK1,sK0)
| convergent_lines(sK2,sK2) ),
inference(resolution,[],[f78,f50]) ).
fof(f50,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f78,plain,
! [X0,X1] :
( convergent_lines(sK1,X0)
| convergent_lines(sK2,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f76,f63]) ).
fof(f76,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f63,f51]) ).
fof(f51,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO217+2 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 14:49:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (7356)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (7366)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.33 % (7362)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.33 TRYING [1,1]
% 0.11/0.33 % (7366)First to succeed.
% 0.11/0.33 TRYING [2,1]
% 0.11/0.33 % (7366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7356"
% 0.11/0.33 TRYING [3,1]
% 0.11/0.33 Cannot enumerate next child to try in an incomplete setup
% 0.11/0.33 % (7362)Refutation not found, incomplete strategy% (7362)------------------------------
% 0.11/0.33 % (7362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (7362)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.33
% 0.11/0.33 % (7362)Memory used [KB]: 836
% 0.11/0.33 % (7362)Time elapsed: 0.003 s
% 0.11/0.33 % (7362)Instructions burned: 6 (million)
% 0.11/0.33 % (7366)Refutation found. Thanks to Tanya!
% 0.11/0.33 % SZS status Theorem for theBenchmark
% 0.11/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.33 % (7366)------------------------------
% 0.11/0.33 % (7366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.33 % (7366)Termination reason: Refutation
% 0.11/0.33
% 0.11/0.33 % (7366)Memory used [KB]: 799
% 0.11/0.33 % (7366)Time elapsed: 0.003 s
% 0.11/0.33 % (7366)Instructions burned: 6 (million)
% 0.11/0.33 % (7356)Success in time 0.011 s
%------------------------------------------------------------------------------