TSTP Solution File: GEO006-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 May 31 12:07:22 EDT 2023
% Result : Unsatisfiable 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 61 ( 16 unt; 0 def)
% Number of atoms : 134 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 145 ( 72 ~; 69 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 121 (; 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,V,Z] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V)
| between(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,W,V,Y,Z] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(X,outer_pasch(W,X,Y,Z,V),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,W,V,Y,Z] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(Z,W,outer_pasch(W,X,Y,Z,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
a != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
between(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( between(c,a,d)
| between(a,d,c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X,Y,Z] :
( ! [V] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V) )
| between(X,Y,Z) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f32,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| X = Y ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f43,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f44,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f52,plain,
a != c,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f54,plain,
c != d,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f55,plain,
between(a,c,d),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f56,plain,
( between(c,a,d)
| between(a,d,c) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f57,plain,
( spl0_0
<=> between(c,a,d) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( between(c,a,d)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_1
<=> between(a,d,c) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( between(a,d,c)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f56,f57,f60]) ).
fof(f64,plain,
! [X0] :
( ~ between(X0,a,d)
| between(X0,a,c) ),
inference(resolution,[status(thm)],[f28,f55]) ).
fof(f68,plain,
( spl0_3
<=> a = c ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( a = c
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f82,plain,
! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
inference(resolution,[status(thm)],[f44,f33]) ).
fof(f94,plain,
! [X0,X1] : between(X0,X1,X1),
inference(paramodulation,[status(thm)],[f82,f43]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| ~ between(X5,X0,X3)
| between(X5,X0,outer_pasch(X1,X0,X3,X4,X2)) ),
inference(resolution,[status(thm)],[f36,f28]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| ~ between(X5,X4,outer_pasch(X1,X0,X3,X4,X2))
| between(X5,X4,X1) ),
inference(resolution,[status(thm)],[f37,f28]) ).
fof(f151,plain,
( between(c,a,c)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f58,f64]) ).
fof(f158,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f52]) ).
fof(f159,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f182,plain,
( c = a
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f151,f26]) ).
fof(f183,plain,
( spl0_3
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f182,f68,f57]) ).
fof(f433,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X0)
| between(X4,X0,X1)
| ~ between(X0,X1,X2)
| ~ between(X3,X2,X0)
| ~ between(X4,X0,X3) ),
inference(resolution,[status(thm)],[f148,f145]) ).
fof(f434,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X0)
| between(X4,X0,X1)
| ~ between(X4,X0,X3) ),
inference(duplicate_literals_removal,[status(esa)],[f433]) ).
fof(f448,plain,
! [X0,X1] :
( ~ between(c,X0,d)
| between(X1,c,X0)
| ~ between(X1,c,a)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f434,f61]) ).
fof(f463,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X0)
| between(X2,X0,X1)
| ~ between(X2,X0,X3) ),
inference(resolution,[status(thm)],[f434,f94]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X0)
| between(X2,X0,X1) ),
inference(resolution,[status(thm)],[f463,f43]) ).
fof(f591,plain,
! [X0,X1,X2,X3,X4] :
( between(X0,X1,outer_pasch(X2,X1,X1,X3,X4))
| ~ between(X1,X2,X4)
| ~ between(X1,X4,X3) ),
inference(resolution,[status(thm)],[f579,f36]) ).
fof(f800,plain,
! [X0] :
( between(X0,c,d)
| ~ between(X0,c,a)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f448,f94]) ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| ~ between(X4,X5,outer_pasch(X1,X0,X0,X3,X2))
| between(X4,X5,X0) ),
inference(resolution,[status(thm)],[f591,f28]) ).
fof(f1204,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X3,X1,X0)
| ~ between(X0,X1,X2)
| ~ between(X0,X2,X3) ),
inference(resolution,[status(thm)],[f1119,f37]) ).
fof(f1205,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X3,X1,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1204]) ).
fof(f1250,plain,
! [X0,X1,X2] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(resolution,[status(thm)],[f1205,f94]) ).
fof(f1278,plain,
between(d,c,a),
inference(resolution,[status(thm)],[f1250,f55]) ).
fof(f1370,plain,
( between(d,c,d)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1278,f800]) ).
fof(f1378,plain,
( spl0_95
<=> d = c ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( d = c
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1542,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1379,f54]) ).
fof(f1543,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1840,plain,
( d = c
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f1370,f26]) ).
fof(f1841,plain,
( spl0_95
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1840,f1378,f60]) ).
fof(f1842,plain,
$false,
inference(sat_refutation,[status(thm)],[f63,f159,f183,f1543,f1841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 12:12:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56 % Elapsed time: 0.212791 seconds
% 0.19/0.56 % CPU time: 1.578621 seconds
% 0.19/0.56 % Memory used: 53.947 MB
%------------------------------------------------------------------------------