TSTP Solution File: GRP001+6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:09:38 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 122 ( 35 ~; 30 |; 47 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 144 (; 132 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [E] :
( ( ! [X,Y] :
? [Z] : product(X,Y,Z)
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(U,Z,W) )
=> product(X,V,W) )
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(X,V,W) )
=> product(U,Z,W) )
& ! [X] : product(X,E,X)
& ! [X] : product(E,X,X)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(inverse(X),X,E) )
=> ( ! [X] : product(X,X,E)
=> ! [U,V,W] :
( product(U,V,W)
=> product(V,U,W) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [E] :
( ( ! [X,Y] :
? [Z] : product(X,Y,Z)
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(U,Z,W) )
=> product(X,V,W) )
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(X,V,W) )
=> product(U,Z,W) )
& ! [X] : product(X,E,X)
& ! [X] : product(E,X,X)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(inverse(X),X,E) )
=> ( ! [X] : product(X,X,E)
=> ! [U,V,W] :
( product(U,V,W)
=> product(V,U,W) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [E] :
( ! [X,Y] :
? [Z] : product(X,Y,Z)
& ! [X,Y,Z,U,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) )
& ! [X,Y,Z,U,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) )
& ! [X] : product(X,E,X)
& ! [X] : product(E,X,X)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(inverse(X),X,E)
& ! [X] : product(X,X,E)
& ? [U,V,W] :
( product(U,V,W)
& ~ product(V,U,W) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
? [E] :
( ! [X,Y] :
? [Z] : product(X,Y,Z)
& ! [X,V,W] :
( ! [Z,U] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) )
& ! [Z,U,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) )
& ! [X] : product(X,E,X)
& ! [X] : product(E,X,X)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(inverse(X),X,E)
& ! [X] : product(X,X,E)
& ? [U,V,W] :
( product(U,V,W)
& ~ product(V,U,W) ) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [X,Y] : product(X,Y,sk0_1(Y,X))
& ! [X,V,W] :
( ! [Z,U] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) )
& ! [Z,U,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) )
& ! [X] : product(X,sk0_0,X)
& ! [X] : product(sk0_0,X,X)
& ! [X] : product(X,inverse(X),sk0_0)
& ! [X] : product(inverse(X),X,sk0_0)
& ! [X] : product(X,X,sk0_0)
& product(sk0_2,sk0_3,sk0_4)
& ~ product(sk0_3,sk0_2,sk0_4) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0] : product(X0,sk0_0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f10,plain,
! [X0] : product(sk0_0,X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0] : product(X0,X0,sk0_0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
product(sk0_2,sk0_3,sk0_4),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
~ product(sk0_3,sk0_2,sk0_4),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,sk0_0)
| ~ product(X1,X2,X3)
| product(X0,X3,X2) ),
inference(resolution,[status(thm)],[f7,f10]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,sk0_0,X3)
| product(X2,X1,X3) ),
inference(resolution,[status(thm)],[f8,f13]) ).
fof(f423,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X0,X2,X1) ),
inference(resolution,[status(thm)],[f25,f13]) ).
fof(f481,plain,
product(sk0_2,sk0_4,sk0_3),
inference(resolution,[status(thm)],[f423,f14]) ).
fof(f2251,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X2,X1,X0) ),
inference(resolution,[status(thm)],[f69,f9]) ).
fof(f2344,plain,
product(sk0_3,sk0_4,sk0_2),
inference(resolution,[status(thm)],[f2251,f481]) ).
fof(f2449,plain,
product(sk0_3,sk0_2,sk0_4),
inference(resolution,[status(thm)],[f2344,f423]) ).
fof(f2450,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2449,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:26:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.161620 seconds
% 0.19/0.50 % CPU time: 1.190734 seconds
% 0.19/0.50 % Memory used: 40.002 MB
%------------------------------------------------------------------------------