TSTP Solution File: GRP031-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:18:51 EDT 2024
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [A] : product(A,inverse(A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A] : product(A,identity,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [A] : ~ product(A,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f12,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)],[f11]) ).
fof(f13,plain,
! [U,Z,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f14,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)],[f13]) ).
fof(f15,plain,
! [X0] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0] : product(X0,identity,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0] : ~ product(X0,a,identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,a)
| ~ product(X2,X3,identity) ),
inference(resolution,[status(thm)],[f12,f17]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X2,identity,X3) ),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,identity)
| product(X2,X3,X0) ),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f43,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| product(X1,identity,X0) ),
inference(resolution,[status(thm)],[f36,f16]) ).
fof(f70,plain,
! [X0] : product(multiply(X0,identity),identity,X0),
inference(resolution,[status(thm)],[f8,f43]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| product(X2,inverse(X1),X0) ),
inference(resolution,[status(thm)],[f15,f39]) ).
fof(f144,plain,
! [X0] : product(identity,inverse(inverse(X0)),X0),
inference(resolution,[status(thm)],[f90,f15]) ).
fof(f168,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| ~ product(X1,inverse(inverse(a)),identity) ),
inference(resolution,[status(thm)],[f144,f23]) ).
fof(f426,plain,
! [X0] : ~ product(X0,identity,inverse(a)),
inference(resolution,[status(thm)],[f168,f15]) ).
fof(f428,plain,
$false,
inference(resolution,[status(thm)],[f426,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:27:18 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.46 % Elapsed time: 0.140999 seconds
% 0.16/0.46 % CPU time: 1.044715 seconds
% 0.16/0.46 % Total memory used: 45.257 MB
% 0.16/0.46 % Net memory used: 41.152 MB
%------------------------------------------------------------------------------