TSTP Solution File: GRP012-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 24 unt; 0 def)
% Number of atoms : 75 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : product(X,identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : product(inverse(X),X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,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(f8,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(f9,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
inverse(c) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : product(identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0] : product(X0,identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,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)],[f7]) ).
fof(f20,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)],[f19]) ).
fof(f21,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)],[f8]) ).
fof(f22,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)],[f21]) ).
fof(f23,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
product(inverse(b),inverse(a),d),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
inverse(c) != d,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(identity,X1,X3)
| product(inverse(X0),X2,X3) ),
inference(resolution,[status(thm)],[f20,f14]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ product(inverse(a),X0,X1)
| ~ product(inverse(b),X1,X2)
| product(d,X0,X2) ),
inference(resolution,[status(thm)],[f22,f24]) ).
fof(f126,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| product(inverse(inverse(X0)),identity,X1) ),
inference(resolution,[status(thm)],[f44,f14]) ).
fof(f127,plain,
! [X0] :
( ~ product(identity,b,X0)
| product(inverse(a),c,X0) ),
inference(resolution,[status(thm)],[f44,f23]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ product(identity,X0,X1)
| product(inverse(X2),multiply(X2,X0),X1) ),
inference(resolution,[status(thm)],[f44,f16]) ).
fof(f166,plain,
product(inverse(a),c,b),
inference(resolution,[status(thm)],[f127,f12]) ).
fof(f169,plain,
! [X0] :
( ~ product(inverse(b),b,X0)
| product(d,c,X0) ),
inference(resolution,[status(thm)],[f166,f118]) ).
fof(f334,plain,
product(d,c,identity),
inference(resolution,[status(thm)],[f169,f14]) ).
fof(f344,plain,
multiply(d,c) = identity,
inference(resolution,[status(thm)],[f334,f32]) ).
fof(f382,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0),
inference(resolution,[status(thm)],[f126,f12]) ).
fof(f394,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[status(thm)],[f382,f31]) ).
fof(f426,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(resolution,[status(thm)],[f130,f12]) ).
fof(f453,plain,
product(inverse(d),identity,c),
inference(paramodulation,[status(thm)],[f344,f426]) ).
fof(f498,plain,
inverse(d) = c,
inference(resolution,[status(thm)],[f453,f31]) ).
fof(f517,plain,
inverse(c) = d,
inference(paramodulation,[status(thm)],[f498,f394]) ).
fof(f518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f517,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:47:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38 % Elapsed time: 0.025168 seconds
% 0.21/0.38 % CPU time: 0.099871 seconds
% 0.21/0.38 % Total memory used: 6.978 MB
% 0.21/0.38 % Net memory used: 6.701 MB
%------------------------------------------------------------------------------