TSTP Solution File: FLD028-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD028-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:16:24 EDT 2024
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 19 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 92 ( 46 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 54 ( 54 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
product(a,u,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
product(a,v,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,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(f43,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)],[f42]) ).
fof(f44,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(f45,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)],[f44]) ).
fof(f46,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f47,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f48,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f74,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f77,plain,
defined(v),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f78,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
product(a,u,b),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f80,plain,
product(a,v,b),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f81,plain,
~ product(multiplicative_identity,u,v),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f121,plain,
product(multiplicative_identity,v,v),
inference(resolution,[status(thm)],[f46,f77]) ).
fof(f154,plain,
product(v,multiplicative_identity,v),
inference(resolution,[status(thm)],[f48,f121]) ).
fof(f155,plain,
product(v,a,b),
inference(resolution,[status(thm)],[f48,f80]) ).
fof(f156,plain,
product(u,a,b),
inference(resolution,[status(thm)],[f48,f79]) ).
fof(f160,plain,
! [X0,X1,X2] :
( product(b,X0,X1)
| ~ product(a,X0,X2)
| ~ product(v,X2,X1) ),
inference(resolution,[status(thm)],[f155,f45]) ).
fof(f166,plain,
! [X0,X1,X2] :
( product(u,X0,X1)
| ~ product(a,X2,X0)
| ~ product(b,X2,X1) ),
inference(resolution,[status(thm)],[f156,f43]) ).
fof(f517,plain,
( spl0_30
<=> product(multiplicative_inverse(a),a,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_31
<=> sum(additive_identity,a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[f47,f74]) ).
fof(f524,plain,
( spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f523,f517,f520]) ).
fof(f583,plain,
( product(a,multiplicative_inverse(a),multiplicative_identity)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f518,f48]) ).
fof(f601,plain,
! [X0] :
( product(u,multiplicative_identity,X0)
| ~ product(b,multiplicative_inverse(a),X0)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f583,f166]) ).
fof(f604,plain,
! [X0] :
( product(b,multiplicative_inverse(a),X0)
| ~ product(v,multiplicative_identity,X0)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f583,f160]) ).
fof(f643,plain,
( product(b,multiplicative_inverse(a),v)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f604,f154]) ).
fof(f645,plain,
( product(u,multiplicative_identity,v)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f643,f601]) ).
fof(f652,plain,
( product(multiplicative_identity,u,v)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f645,f48]) ).
fof(f653,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f652,f81]) ).
fof(f654,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f653]) ).
fof(f655,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f78]) ).
fof(f656,plain,
~ spl0_31,
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
$false,
inference(sat_refutation,[status(thm)],[f524,f654,f656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD028-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n006.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 23:13:50 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.133826 seconds
% 0.15/0.45 % CPU time: 0.976893 seconds
% 0.15/0.45 % Total memory used: 19.779 MB
% 0.15/0.45 % Net memory used: 19.131 MB
%------------------------------------------------------------------------------