TSTP Solution File: GRP042-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP042-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:18:53 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| equalish(Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ equalish(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : product(identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| equalish(Z,W) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f19,plain,
! [Y,W,Z] :
( ! [X] :
( ~ equalish(X,Y)
| ~ product(W,Z,X) )
| product(W,Z,Y) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ equalish(X0,X1)
| ~ product(X2,X3,X0)
| product(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
equalish(a,b),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f22,plain,
~ equalish(b,a),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f23,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| product(identity,X0,X1) ),
inference(resolution,[status(thm)],[f10,f20]) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f10,f14]) ).
fof(f25,plain,
product(identity,a,b),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f28,plain,
equalish(b,a),
inference(resolution,[status(thm)],[f24,f25]) ).
fof(f29,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP042-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:55:28 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32 % Elapsed time: 0.012151 seconds
% 0.14/0.32 % CPU time: 0.012644 seconds
% 0.14/0.32 % Total memory used: 3.679 MB
% 0.14/0.32 % Net memory used: 3.591 MB
%------------------------------------------------------------------------------