TSTP Solution File: GRP012+5 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 : Tue Apr 30 20:18:46 EDT 2024
% Result : Theorem 2.30s 0.64s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 134 ( 41 ~; 36 |; 49 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 155 ( 141 !; 14 ?)
% 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) )
=> ! [U,V,W,X] :
( ( product(inverse(U),inverse(V),W)
& product(V,U,X) )
=> product(inverse(W),inverse(X),E) ) ),
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) )
=> ! [U,V,W,X] :
( ( product(inverse(U),inverse(V),W)
& product(V,U,X) )
=> product(inverse(W),inverse(X),E) ) ),
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)
& ? [U,V,W,X] :
( product(inverse(U),inverse(V),W)
& product(V,U,X)
& ~ product(inverse(W),inverse(X),E) ) ),
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)
& ? [W,X] :
( ? [U,V] :
( product(inverse(U),inverse(V),W)
& product(V,U,X) )
& ~ product(inverse(W),inverse(X),E) ) ),
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)
& product(inverse(sk0_4),inverse(sk0_5),sk0_2)
& product(sk0_5,sk0_4,sk0_3)
& ~ product(inverse(sk0_2),inverse(sk0_3),sk0_0) ),
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(f11,plain,
! [X0] : product(X0,inverse(X0),sk0_0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : product(inverse(X0),X0,sk0_0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
product(inverse(sk0_4),inverse(sk0_5),sk0_2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
product(sk0_5,sk0_4,sk0_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
~ product(inverse(sk0_2),inverse(sk0_3),sk0_0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X2,inverse(X1),X3)
| product(X0,sk0_0,X3) ),
inference(resolution,[status(thm)],[f7,f11]) ).
fof(f26,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(f63,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,sk0_0,X3)
| product(X2,inverse(X1),X3) ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X2,sk0_0,X3) ),
inference(resolution,[status(thm)],[f8,f9]) ).
fof(f188,plain,
! [X0] :
( ~ product(X0,sk0_5,inverse(sk0_4))
| product(X0,sk0_0,sk0_2) ),
inference(resolution,[status(thm)],[f21,f13]) ).
fof(f443,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(inverse(X0),X2,X1) ),
inference(resolution,[status(thm)],[f26,f12]) ).
fof(f2175,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X2,inverse(X1),X0) ),
inference(resolution,[status(thm)],[f63,f9]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ product(X0,sk0_0,X1)
| product(X1,sk0_0,X0) ),
inference(resolution,[status(thm)],[f65,f9]) ).
fof(f2392,plain,
product(sk0_3,inverse(sk0_4),sk0_5),
inference(resolution,[status(thm)],[f2175,f14]) ).
fof(f2468,plain,
product(inverse(sk0_3),sk0_5,inverse(sk0_4)),
inference(resolution,[status(thm)],[f2392,f443]) ).
fof(f4735,plain,
product(inverse(sk0_3),sk0_0,sk0_2),
inference(resolution,[status(thm)],[f188,f2468]) ).
fof(f4740,plain,
product(sk0_2,sk0_0,inverse(sk0_3)),
inference(resolution,[status(thm)],[f4735,f2374]) ).
fof(f4798,plain,
product(inverse(sk0_2),inverse(sk0_3),sk0_0),
inference(resolution,[status(thm)],[f4740,f443]) ).
fof(f4799,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4798,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:36:27 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 2.30/0.64 % Refutation found
% 2.30/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.30/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.30/0.66 % Elapsed time: 0.325146 seconds
% 2.30/0.66 % CPU time: 2.486607 seconds
% 2.30/0.66 % Total memory used: 75.099 MB
% 2.30/0.66 % Net memory used: 65.671 MB
%------------------------------------------------------------------------------