TSTP Solution File: GEO001-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 38 (; 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W,Y,X] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [U,V] : between(U,V,V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f100,plain,
! [X0,X1] : between(X0,X1,X1),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f103,plain,
between(a,b,c),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f104,plain,
~ between(c,b,a),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X2,inner_pasch(X3,X2,X2,X1,X0),X0) ),
inference(resolution,[status(thm)],[f58,f100]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ between(X0,X1,X2)
| between(X1,inner_pasch(X3,X2,X2,X1,X0),X3) ),
inference(resolution,[status(thm)],[f59,f100]) ).
fof(f224,plain,
! [X0] : between(c,inner_pasch(X0,c,c,b,a),a),
inference(resolution,[status(thm)],[f207,f103]) ).
fof(f239,plain,
! [X0] : between(b,inner_pasch(X0,c,c,b,a),X0),
inference(resolution,[status(thm)],[f212,f103]) ).
fof(f279,plain,
b = inner_pasch(b,c,c,b,a),
inference(resolution,[status(thm)],[f239,f57]) ).
fof(f287,plain,
between(c,b,a),
inference(paramodulation,[status(thm)],[f279,f224]) ).
fof(f288,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f287,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Tue May 30 12:08:25 EDT 2023
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.62 % Elapsed time: 0.057152 seconds
% 0.18/0.62 % CPU time: 0.075017 seconds
% 0.18/0.62 % Memory used: 13.065 MB
%------------------------------------------------------------------------------