TSTP Solution File: GEO002-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:07:21 EDT 2023
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 116 (; 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,V,Z] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V)
| between(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ between(W,Z,X)
| between(W,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X,Y,Z] :
( ! [V] :
( ~ between(X,Y,V)
| ~ between(Y,Z,V) )
| between(X,Y,Z) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X,Y] :
( ! [Z] : ~ equidistant(X,Y,Z,Z)
| equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ equidistant(X0,X1,X2,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,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)],[f3]) ).
fof(f14,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)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [Y,W,Z] :
( ! [X] :
( ~ equalish(X,Y)
| ~ between(W,Z,X) )
| between(W,Z,Y) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ equalish(X0,X1)
| ~ between(X2,X3,X0)
| between(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
~ between(a,a,b),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) ),
inference(resolution,[status(thm)],[f15,f10]) ).
fof(f21,plain,
! [X0] : between(X0,X0,X0),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f22,plain,
! [X0,X1,X2] : equalish(X0,extension(X1,X0,X2,X2)),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f24,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| between(X0,X0,X1) ),
inference(resolution,[status(thm)],[f18,f21]) ).
fof(f25,plain,
! [X0,X1,X2] : between(X0,X0,extension(X1,X0,X2,X2)),
inference(resolution,[status(thm)],[f24,f22]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,extension(X2,X1,X3,X3))
| between(X0,X1,X1) ),
inference(resolution,[status(thm)],[f25,f10]) ).
fof(f31,plain,
! [X0,X1] : between(X0,X1,X1),
inference(resolution,[status(thm)],[f28,f15]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X3,outer_pasch(X1,X3,X0,X2,X1),X0) ),
inference(resolution,[status(thm)],[f13,f31]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X2,X1,outer_pasch(X1,X3,X0,X2,X1)) ),
inference(resolution,[status(thm)],[f14,f31]) ).
fof(f109,plain,
! [X0,X1,X2] : between(X0,outer_pasch(X1,X0,X2,X1,X1),X2),
inference(resolution,[status(thm)],[f85,f31]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X0,X1,outer_pasch(X3,X1,X2,X3,X3)) ),
inference(resolution,[status(thm)],[f109,f10]) ).
fof(f126,plain,
! [X0,X1,X2] : between(X0,X0,outer_pasch(X0,X1,X2,X0,X0)),
inference(resolution,[status(thm)],[f93,f31]) ).
fof(f193,plain,
! [X0,X1,X2] : between(X0,X1,outer_pasch(X2,X1,X1,X2,X2)),
inference(resolution,[status(thm)],[f116,f31]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,outer_pasch(X2,X3,X3,X2,X2))
| between(X0,X1,X3) ),
inference(resolution,[status(thm)],[f193,f10]) ).
fof(f274,plain,
! [X0,X1] : between(X0,X0,X1),
inference(resolution,[status(thm)],[f202,f126]) ).
fof(f276,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f19,f274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:03:25 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38 % Elapsed time: 0.071112 seconds
% 0.15/0.38 % CPU time: 0.047819 seconds
% 0.15/0.38 % Memory used: 4.739 MB
%------------------------------------------------------------------------------