TSTP Solution File: FLD064-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD064-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:16:34 EDT 2024
% Result : Unsatisfiable 67.41s 8.85s
% Output : CNFRefutation 67.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 101 ( 50 ~; 49 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( equalish(add(additive_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( equalish(add(X,additive_inverse(X)),additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Z,Y] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Z,Y] :
( less_or_equal(add(X,Z),add(Y,Z))
| ~ defined(Z)
| ~ less_or_equal(X,Y) ),
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(f26,axiom,
! [Y,Z,X] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,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,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f34,plain,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f48,plain,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f54,plain,
! [Z,Y] :
( ! [X] :
( less_or_equal(X,Z)
| ~ less_or_equal(X,Y) )
| ~ less_or_equal(Y,Z) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f55,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [Y] :
( ! [X] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f57,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f58,plain,
! [X,Y] :
( ! [Z] :
( less_or_equal(add(X,Z),add(Y,Z))
| ~ defined(Z) )
| ~ less_or_equal(X,Y) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f59,plain,
! [X0,X1,X2] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f63,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f70,plain,
! [Y,X] :
( ! [Z] :
( less_or_equal(Y,Z)
| ~ less_or_equal(X,Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f71,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f73,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f74,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f75,plain,
~ less_or_equal(additive_inverse(a),additive_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f82,plain,
defined(additive_inverse(a)),
inference(resolution,[status(thm)],[f48,f73]) ).
fof(f97,plain,
equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a)),
inference(resolution,[status(thm)],[f33,f82]) ).
fof(f107,plain,
equalish(add(a,additive_inverse(a)),additive_identity),
inference(resolution,[status(thm)],[f34,f73]) ).
fof(f135,plain,
equalish(additive_identity,add(a,additive_inverse(a))),
inference(resolution,[status(thm)],[f107,f63]) ).
fof(f986,plain,
( spl0_40
<=> less_or_equal(additive_identity,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f2099,plain,
! [X0] :
( less_or_equal(X0,additive_identity)
| less_or_equal(additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f57,f47]) ).
fof(f2128,plain,
! [X0] :
( ~ less_or_equal(X0,additive_identity)
| ~ equalish(X0,additive_inverse(a)) ),
inference(resolution,[status(thm)],[f71,f75]) ).
fof(f2130,plain,
! [X0,X1,X2,X3] :
( ~ less_or_equal(X0,X1)
| ~ equalish(X0,X2)
| less_or_equal(X3,X1)
| ~ less_or_equal(X3,X2) ),
inference(resolution,[status(thm)],[f71,f55]) ).
fof(f2133,plain,
~ less_or_equal(add(additive_identity,additive_inverse(a)),additive_identity),
inference(resolution,[status(thm)],[f2128,f97]) ).
fof(f2345,plain,
( less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[f2099,f47]) ).
fof(f2346,plain,
spl0_40,
inference(split_clause,[status(thm)],[f2345,f986]) ).
fof(f4847,plain,
! [X0] :
( less_or_equal(add(additive_identity,X0),add(a,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f59,f74]) ).
fof(f5553,plain,
less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a))),
inference(resolution,[status(thm)],[f4847,f82]) ).
fof(f10199,plain,
( spl0_1345
<=> less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a))) ),
introduced(split_symbol_definition) ).
fof(f10201,plain,
( ~ less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a)))
| spl0_1345 ),
inference(component_clause,[status(thm)],[f10199]) ).
fof(f30692,plain,
! [X0,X1] :
( ~ less_or_equal(X0,additive_identity)
| ~ equalish(X0,X1)
| ~ less_or_equal(add(additive_identity,additive_inverse(a)),X1) ),
inference(resolution,[status(thm)],[f2130,f2133]) ).
fof(f31528,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a))) ),
inference(resolution,[status(thm)],[f30692,f135]) ).
fof(f31529,plain,
( ~ spl0_40
| ~ spl0_1345 ),
inference(split_clause,[status(thm)],[f31528,f986,f10199]) ).
fof(f31566,plain,
( $false
| spl0_1345 ),
inference(forward_subsumption_resolution,[status(thm)],[f10201,f5553]) ).
fof(f31567,plain,
spl0_1345,
inference(contradiction_clause,[status(thm)],[f31566]) ).
fof(f31568,plain,
$false,
inference(sat_refutation,[status(thm)],[f2346,f31529,f31567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD064-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:13:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 67.41/8.85 % Refutation found
% 67.41/8.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 67.41/8.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 67.74/8.92 % Elapsed time: 8.549768 seconds
% 67.74/8.92 % CPU time: 67.836264 seconds
% 67.74/8.92 % Total memory used: 322.790 MB
% 67.74/8.92 % Net memory used: 307.388 MB
%------------------------------------------------------------------------------