TSTP Solution File: FLD010-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:06:49 EDT 2023
% Result : Unsatisfiable 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] :
( equalish(multiply(multiplicative_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( defined(multiplicative_inverse(X))
| ~ defined(X)
| equalish(X,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f38,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f49,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f50,plain,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f61,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f62,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f63,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f70,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f71,plain,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f81,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(multiplicative_identity,multiplicative_inverse(X0)),multiplicative_inverse(X0)) ),
inference(resolution,[status(thm)],[f50,f37]) ).
fof(f119,plain,
( spl0_4
<=> equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( spl0_5
<=> equalish(multiplicative_identity,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f123,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| equalish(multiplicative_identity,additive_identity) ),
inference(resolution,[status(thm)],[f38,f49]) ).
fof(f126,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f125,f119,f122]) ).
fof(f128,plain,
( spl0_6
<=> equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity)) ),
introduced(split_symbol_definition) ).
fof(f129,plain,
( equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( equalish(multiplicative_identity,additive_identity)
| equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity)) ),
inference(resolution,[status(thm)],[f81,f49]) ).
fof(f132,plain,
( spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f131,f122,f128]) ).
fof(f201,plain,
( equalish(additive_identity,multiplicative_identity)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f123,f61]) ).
fof(f202,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f70]) ).
fof(f203,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f208,plain,
! [X0] :
( equalish(X0,multiplicative_identity)
| ~ equalish(X0,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f120,f63]) ).
fof(f217,plain,
( equalish(multiplicative_inverse(multiplicative_identity),multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f129,f61]) ).
fof(f225,plain,
( equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f208,f217]) ).
fof(f226,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f71]) ).
fof(f227,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f226]) ).
fof(f228,plain,
$false,
inference(sat_refutation,[status(thm)],[f126,f132,f203,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:01:12 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.012635 seconds
% 0.16/0.54 % CPU time: 0.016885 seconds
% 0.16/0.54 % Memory used: 668.228 KB
%------------------------------------------------------------------------------