TSTP Solution File: SYN726+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:47:29 EDT 2023
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 115 ( 35 ~; 47 |; 25 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 107 (; 99 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X,Y,Z] :
( ~ p(X,Y)
| ~ p(Y,Z)
| p(X,Z) )
& ! [X,Y,Z] :
( ~ q(X,Y)
| ~ q(Y,Z)
| q(X,Z) )
& ! [X,Y] :
( ~ q(X,Y)
| q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) )
& ? [X,Y] : ~ p(X,Y)
& ? [X,Y] : ~ q(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [X,Z] :
( ! [Y] :
( ~ p(X,Y)
| ~ p(Y,Z) )
| p(X,Z) )
& ! [X,Z] :
( ! [Y] :
( ~ q(X,Y)
| ~ q(Y,Z) )
| q(X,Z) )
& ! [X,Y] :
( ~ q(X,Y)
| q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) )
& ? [X,Y] : ~ p(X,Y)
& ? [X,Y] : ~ q(X,Y) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [X,Z] :
( ! [Y] :
( ~ p(X,Y)
| ~ p(Y,Z) )
| p(X,Z) )
& ! [X,Z] :
( ! [Y] :
( ~ q(X,Y)
| ~ q(Y,Z) )
| q(X,Z) )
& ! [X,Y] :
( ~ q(X,Y)
| q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) )
& ~ p(sk0_0,sk0_1)
& ~ q(sk0_2,sk0_3) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] :
( ~ p(X0,X1)
| ~ p(X1,X2)
| p(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ q(X0,X1)
| ~ q(X1,X2)
| q(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ q(X0,X1)
| q(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f10,plain,
~ p(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
~ q(sk0_2,sk0_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
p(sk0_2,sk0_3),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f13,plain,
! [X0,X1] :
( p(X0,X1)
| q(X1,X0) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f14,plain,
! [X0] :
( ~ p(X0,sk0_2)
| p(X0,sk0_3) ),
inference(resolution,[status(thm)],[f6,f12]) ).
fof(f15,plain,
p(sk0_3,sk0_2),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f17,plain,
! [X0] :
( ~ p(X0,sk0_3)
| p(X0,sk0_2) ),
inference(resolution,[status(thm)],[f15,f6]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ q(X0,X1)
| q(X0,X2)
| p(X2,X1) ),
inference(resolution,[status(thm)],[f7,f13]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ q(X0,X1)
| q(X0,X2)
| p(X1,X2) ),
inference(resolution,[status(thm)],[f7,f9]) ).
fof(f25,plain,
! [X0,X1,X2] :
( q(X0,X1)
| p(X1,X2)
| p(X0,X2) ),
inference(resolution,[status(thm)],[f22,f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( q(X0,X1)
| p(X2,X1)
| p(X2,X0) ),
inference(resolution,[status(thm)],[f23,f13]) ).
fof(f33,plain,
! [X0] :
( p(X0,sk0_3)
| p(X0,sk0_2) ),
inference(resolution,[status(thm)],[f26,f11]) ).
fof(f34,plain,
! [X0] : p(X0,sk0_2),
inference(forward_subsumption_resolution,[status(thm)],[f33,f17]) ).
fof(f44,plain,
! [X0] : p(X0,sk0_3),
inference(backward_subsumption_resolution,[status(thm)],[f14,f34]) ).
fof(f47,plain,
! [X0] :
( p(sk0_3,X0)
| p(sk0_2,X0) ),
inference(resolution,[status(thm)],[f25,f11]) ).
fof(f52,plain,
! [X0,X1] :
( p(sk0_2,X0)
| ~ p(X1,sk0_3)
| p(X1,X0) ),
inference(resolution,[status(thm)],[f47,f6]) ).
fof(f53,plain,
! [X0,X1] :
( p(sk0_2,X0)
| p(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f44]) ).
fof(f54,plain,
! [X0,X1,X2] :
( p(X0,X1)
| ~ p(X2,sk0_2)
| p(X2,X1) ),
inference(resolution,[status(thm)],[f53,f6]) ).
fof(f55,plain,
! [X0,X1,X2] :
( p(X0,X1)
| p(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f34]) ).
fof(f57,plain,
! [X0] : p(X0,sk0_1),
inference(resolution,[status(thm)],[f55,f10]) ).
fof(f58,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 10:56:44 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.56 % Elapsed time: 0.014873 seconds
% 0.18/0.56 % CPU time: 0.048405 seconds
% 0.18/0.56 % Memory used: 1.980 MB
%------------------------------------------------------------------------------