TSTP Solution File: FLD032-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD032-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:16:25 EDT 2024
% Result : Unsatisfiable 14.03s 2.13s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 140 ( 63 ~; 74 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 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(f8,axiom,
! [X,Y] :
( equalish(multiply(X,Y),multiply(Y,X))
| ~ defined(X)
| ~ defined(Y) ),
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(f25,axiom,
! [X,Z,Y] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f41,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f42,plain,
! [Y] :
( ! [X] :
( equalish(multiply(X,Y),multiply(Y,X))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f43,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f53,plain,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f64,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f65,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f66,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,plain,
! [X,Y] :
( ! [Z] :
( equalish(multiply(X,Z),multiply(Y,Z))
| ~ defined(Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f70,plain,
! [X0,X1,X2] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f74,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f75,plain,
~ equalish(a,additive_identity),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f76,plain,
equalish(multiplicative_inverse(a),multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f77,plain,
~ equalish(a,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
equalish(multiplicative_identity,multiplicative_inverse(a)),
inference(resolution,[status(thm)],[f64,f76]) ).
fof(f100,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(X1,multiplicative_identity)
| ~ equalish(X1,multiply(X0,multiplicative_inverse(X0))) ),
inference(resolution,[status(thm)],[f41,f66]) ).
fof(f108,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,multiply(multiplicative_identity,X0)) ),
inference(resolution,[status(thm)],[f40,f64]) ).
fof(f230,plain,
( spl0_16
<=> defined(a) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( ~ defined(a)
| spl0_16 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( spl0_17
<=> equalish(a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( equalish(a,additive_identity)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f238,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f74]) ).
fof(f239,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f238]) ).
fof(f292,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f75]) ).
fof(f293,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f1174,plain,
! [X0] :
( ~ defined(multiplicative_inverse(X0))
| ~ defined(X0)
| ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity) ),
inference(resolution,[status(thm)],[f43,f100]) ).
fof(f1175,plain,
! [X0] :
( ~ defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity) ),
inference(duplicate_literals_removal,[status(esa)],[f1174]) ).
fof(f1176,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f53]) ).
fof(f2081,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(X1,multiplicative_identity)
| ~ equalish(X1,multiply(multiplicative_inverse(X0),X0)) ),
inference(resolution,[status(thm)],[f1176,f66]) ).
fof(f2693,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(X1,X0),multiplicative_identity) ),
inference(resolution,[status(thm)],[f70,f2081]) ).
fof(f2694,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(X0))
| equalish(X0,additive_identity)
| equalish(multiply(X1,X0),multiplicative_identity) ),
inference(duplicate_literals_removal,[status(esa)],[f2693]) ).
fof(f4383,plain,
! [X0,X1,X2] :
( ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(X0))
| equalish(X0,additive_identity)
| equalish(X2,multiplicative_identity)
| ~ equalish(X2,multiply(X1,X0)) ),
inference(resolution,[status(thm)],[f2694,f66]) ).
fof(f4816,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(multiplicative_identity,multiplicative_inverse(X0))
| equalish(X0,additive_identity)
| equalish(X0,multiplicative_identity)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f4383,f108]) ).
fof(f4817,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(multiplicative_identity,multiplicative_inverse(X0))
| equalish(X0,additive_identity)
| equalish(X0,multiplicative_identity) ),
inference(duplicate_literals_removal,[status(esa)],[f4816]) ).
fof(f4821,plain,
( spl0_429
<=> equalish(a,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f4822,plain,
( equalish(a,multiplicative_identity)
| ~ spl0_429 ),
inference(component_clause,[status(thm)],[f4821]) ).
fof(f4824,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| equalish(a,multiplicative_identity) ),
inference(resolution,[status(thm)],[f4817,f79]) ).
fof(f4825,plain,
( ~ spl0_16
| spl0_17
| spl0_429 ),
inference(split_clause,[status(thm)],[f4824,f230,f233,f4821]) ).
fof(f4834,plain,
( $false
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[status(thm)],[f4822,f77]) ).
fof(f4835,plain,
~ spl0_429,
inference(contradiction_clause,[status(thm)],[f4834]) ).
fof(f4836,plain,
$false,
inference(sat_refutation,[status(thm)],[f239,f293,f4825,f4835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD032-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:20:06 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 14.03/2.13 % Refutation found
% 14.03/2.13 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.03/2.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.03/2.16 % Elapsed time: 1.809371 seconds
% 14.03/2.16 % CPU time: 14.250688 seconds
% 14.03/2.16 % Total memory used: 120.286 MB
% 14.03/2.16 % Net memory used: 109.276 MB
%------------------------------------------------------------------------------