TSTP Solution File: GEO447+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO447+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:08:56 EDT 2023
% Result : Theorem 83.47s 12.23s
% Output : CNFRefutation 85.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 79 ( 24 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 83 ( 30 ~; 22 |; 24 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 42 (; 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [T0] :
( ( s(bool,t) = s(bool,T0)
<=> p(s(bool,T0)) )
& ( s(bool,T0) = s(bool,t)
<=> p(s(bool,T0)) )
& ( s(bool,f0) = s(bool,T0)
<=> ~ p(s(bool,T0)) )
& ( s(bool,T0) = s(bool,f0)
<=> ~ p(s(bool,T0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ p(s(bool,f0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3007,axiom,
! [Q110681,X,Y] : s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),X))),s(cart(real,Q110681),Y))) = s(bool,i(s(fun(cart(real,Q110681),bool),i(s(fun(cart(real,Q110681),fun(cart(real,Q110681),bool)),orthogonal),s(cart(real,Q110681),Y))),s(cart(real,Q110681),X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3015,axiom,
! [Q111054,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),X))))
& p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),Y)))) )
=> p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),i(s(fun(cart(real,Q111054),cart(real,Q111054)),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),cart(real,Q111054))),vectoru_add),s(cart(real,Q111054),X))),s(cart(real,Q111054),Y)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3020,conjecture,
! [Q111057,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5)))) )
=> p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3021,negated_conjecture,
~ ! [Q111057,A5,X,Y] :
( ( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5)))) )
=> p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ),
inference(negated_conjecture,[status(cth)],[f3020]) ).
fof(f3230,plain,
! [T0] :
( ( s(bool,t) != s(bool,T0)
| p(s(bool,T0)) )
& ( s(bool,t) = s(bool,T0)
| ~ p(s(bool,T0)) )
& ( s(bool,T0) != s(bool,t)
| p(s(bool,T0)) )
& ( s(bool,T0) = s(bool,t)
| ~ p(s(bool,T0)) )
& ( s(bool,f0) != s(bool,T0)
| ~ p(s(bool,T0)) )
& ( s(bool,f0) = s(bool,T0)
| p(s(bool,T0)) )
& ( s(bool,T0) != s(bool,f0)
| ~ p(s(bool,T0)) )
& ( s(bool,T0) = s(bool,f0)
| p(s(bool,T0)) ) ),
inference(NNF_transformation,[status(esa)],[f42]) ).
fof(f3231,plain,
( ! [T0] :
( s(bool,t) != s(bool,T0)
| p(s(bool,T0)) )
& ! [T0] :
( s(bool,t) = s(bool,T0)
| ~ p(s(bool,T0)) )
& ! [T0] :
( s(bool,T0) != s(bool,t)
| p(s(bool,T0)) )
& ! [T0] :
( s(bool,T0) = s(bool,t)
| ~ p(s(bool,T0)) )
& ! [T0] :
( s(bool,f0) != s(bool,T0)
| ~ p(s(bool,T0)) )
& ! [T0] :
( s(bool,f0) = s(bool,T0)
| p(s(bool,T0)) )
& ! [T0] :
( s(bool,T0) != s(bool,f0)
| ~ p(s(bool,T0)) )
& ! [T0] :
( s(bool,T0) = s(bool,f0)
| p(s(bool,T0)) ) ),
inference(miniscoping,[status(esa)],[f3230]) ).
fof(f3237,plain,
! [X0] :
( s(bool,f0) = s(bool,X0)
| p(s(bool,X0)) ),
inference(cnf_transformation,[status(esa)],[f3231]) ).
fof(f3240,plain,
~ p(s(bool,f0)),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f13402,plain,
! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[status(esa)],[f3007]) ).
fof(f13420,plain,
! [Q111054,A5,X,Y] :
( ~ p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),X))))
| ~ p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),Y))))
| p(s(bool,i(s(fun(cart(real,Q111054),bool),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),bool)),orthogonal),s(cart(real,Q111054),A5))),s(cart(real,Q111054),i(s(fun(cart(real,Q111054),cart(real,Q111054)),i(s(fun(cart(real,Q111054),fun(cart(real,Q111054),cart(real,Q111054))),vectoru_add),s(cart(real,Q111054),X))),s(cart(real,Q111054),Y)))))) ),
inference(pre_NNF_transformation,[status(esa)],[f3015]) ).
fof(f13421,plain,
! [X0,X1,X2,X3] :
( ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X3))))
| p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))) ),
inference(cnf_transformation,[status(esa)],[f13420]) ).
fof(f13430,plain,
? [Q111057,A5,X,Y] :
( p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),X))),s(cart(real,Q111057),A5))))
& p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),Y))),s(cart(real,Q111057),A5))))
& ~ p(s(bool,i(s(fun(cart(real,Q111057),bool),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),bool)),orthogonal),s(cart(real,Q111057),i(s(fun(cart(real,Q111057),cart(real,Q111057)),i(s(fun(cart(real,Q111057),fun(cart(real,Q111057),cart(real,Q111057))),vectoru_add),s(cart(real,Q111057),X))),s(cart(real,Q111057),Y))))),s(cart(real,Q111057),A5)))) ),
inference(pre_NNF_transformation,[status(esa)],[f3021]) ).
fof(f13431,plain,
( p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3165))))
& p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3167))),s(cart(real,sk0_3164),sk0_3165))))
& ~ p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3167))))),s(cart(real,sk0_3164),sk0_3165)))) ),
inference(skolemization,[status(esa)],[f13430]) ).
fof(f13432,plain,
p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3165)))),
inference(cnf_transformation,[status(esa)],[f13431]) ).
fof(f13433,plain,
p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3167))),s(cart(real,sk0_3164),sk0_3165)))),
inference(cnf_transformation,[status(esa)],[f13431]) ).
fof(f13434,plain,
~ p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3167))))),s(cart(real,sk0_3164),sk0_3165)))),
inference(cnf_transformation,[status(esa)],[f13431]) ).
fof(f16433,plain,
p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),sk0_3167)))),
inference(paramodulation,[status(thm)],[f13402,f13433]) ).
fof(f16434,plain,
p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),sk0_3166)))),
inference(paramodulation,[status(thm)],[f13402,f13432]) ).
fof(f16519,plain,
~ p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3167)))))),
inference(forward_demodulation,[status(thm)],[f13402,f13434]) ).
fof(f19794,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),X0))))
| p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),X0)))))) ),
inference(resolution,[status(thm)],[f13421,f16434]) ).
fof(f21143,plain,
s(bool,f0) = s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3167))))),
inference(resolution,[status(thm)],[f16519,f3237]) ).
fof(f29619,plain,
p(s(bool,i(s(fun(cart(real,sk0_3164),bool),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),bool)),orthogonal),s(cart(real,sk0_3164),sk0_3165))),s(cart(real,sk0_3164),i(s(fun(cart(real,sk0_3164),cart(real,sk0_3164)),i(s(fun(cart(real,sk0_3164),fun(cart(real,sk0_3164),cart(real,sk0_3164))),vectoru_add),s(cart(real,sk0_3164),sk0_3166))),s(cart(real,sk0_3164),sk0_3167)))))),
inference(resolution,[status(thm)],[f19794,f16433]) ).
fof(f29620,plain,
p(s(bool,f0)),
inference(forward_demodulation,[status(thm)],[f21143,f29619]) ).
fof(f29621,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f29620,f3240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO447+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.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 11:58:17 EDT 2023
% 0.09/0.30 % CPUTime :
% 1.55/1.79 % Drodi V3.5.1
% 83.47/12.23 % Refutation found
% 83.47/12.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 83.47/12.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 86.56/12.69 % Elapsed time: 12.371125 seconds
% 86.56/12.69 % CPU time: 85.265674 seconds
% 86.56/12.69 % Memory used: 1.971 GB
%------------------------------------------------------------------------------