TSTP Solution File: FLD034-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:06:58 EDT 2023
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,V,W,Y,U,Z] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [U,Z,W,X,Y,V] :
( product(U,Z,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ product(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( product(X,V,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [W,X,V] :
( ! [Z,Y] :
( ! [U] :
( product(U,Z,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(X,V,W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f55,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f70,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f71,plain,
defined(m),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f72,plain,
product(multiplicative_identity,m,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f73,plain,
~ product(m,a,a),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f76,plain,
! [X0,X1,X2] :
( product(X0,multiplicative_identity,X1)
| ~ product(X0,multiplicative_identity,X2)
| ~ product(X2,m,X1) ),
inference(resolution,[status(thm)],[f39,f72]) ).
fof(f78,plain,
product(multiplicative_identity,m,m),
inference(resolution,[status(thm)],[f42,f71]) ).
fof(f79,plain,
product(multiplicative_identity,a,a),
inference(resolution,[status(thm)],[f42,f70]) ).
fof(f80,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[f42,f55]) ).
fof(f87,plain,
! [X0] :
( product(X0,a,a)
| ~ product(X0,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[status(thm)],[f79,f39]) ).
fof(f93,plain,
! [X0] :
( product(multiplicative_identity,multiplicative_identity,X0)
| ~ product(multiplicative_identity,m,X0) ),
inference(resolution,[status(thm)],[f80,f76]) ).
fof(f100,plain,
product(multiplicative_identity,multiplicative_identity,m),
inference(resolution,[status(thm)],[f93,f78]) ).
fof(f133,plain,
! [X0,X1,X2] :
( product(X0,X1,multiplicative_identity)
| ~ product(multiplicative_identity,X2,X0)
| ~ product(X2,X1,m) ),
inference(resolution,[status(thm)],[f41,f72]) ).
fof(f136,plain,
! [X0] :
( product(X0,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,multiplicative_identity,X0) ),
inference(resolution,[status(thm)],[f133,f100]) ).
fof(f175,plain,
product(m,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[f136,f100]) ).
fof(f180,plain,
product(m,a,a),
inference(resolution,[status(thm)],[f175,f87]) ).
fof(f181,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f180,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD034-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:28:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58 % Elapsed time: 0.015854 seconds
% 0.20/0.58 % CPU time: 0.071475 seconds
% 0.20/0.58 % Memory used: 2.387 MB
%------------------------------------------------------------------------------