TSTP Solution File: SET047-5 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:33:43 EDT 2023
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 1 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 164 ( 69 ~; 89 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] :
( ~ set_equal(X,Y)
| ~ element(Z,X)
| element(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ~ set_equal(X,Y)
| ~ element(Z,Y)
| element(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( element(f(X,Y),X)
| element(f(X,Y),Y)
| set_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( ~ element(f(X,Y),Y)
| ~ element(f(X,Y),X)
| set_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [Y,Z] :
( ! [X] :
( ~ set_equal(X,Y)
| ~ element(Z,X) )
| element(Z,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ set_equal(X0,X1)
| ~ element(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [X,Z] :
( ! [Y] :
( ~ set_equal(X,Y)
| ~ element(Z,Y) )
| element(Z,X) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ set_equal(X0,X1)
| ~ element(X2,X1)
| element(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( element(f(X0,X1),X0)
| element(f(X0,X1),X1)
| set_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( ~ element(f(X0,X1),X1)
| ~ element(f(X0,X1),X0)
| set_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
( set_equal(a,b)
| set_equal(b,a) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
( spl0_0
<=> set_equal(a,b) ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( set_equal(a,b)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( spl0_1
<=> set_equal(b,a) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( set_equal(b,a)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f13,f15,f18]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f14,f18,f15]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ element(f(X0,X1),X0)
| set_equal(X0,X1)
| ~ set_equal(X1,X2)
| ~ element(f(X0,X1),X2) ),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f31,plain,
! [X0] :
( ~ element(f(X0,a),X0)
| set_equal(X0,a)
| ~ element(f(X0,a),b)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f29,f16]) ).
fof(f32,plain,
( spl0_2
<=> element(f(b,a),b) ),
introduced(split_symbol_definition) ).
fof(f34,plain,
( ~ element(f(b,a),b)
| spl0_2 ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( spl0_3
<=> element(f(b,a),a) ),
introduced(split_symbol_definition) ).
fof(f36,plain,
( element(f(b,a),a)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( ~ element(f(b,a),b)
| set_equal(b,a)
| element(f(b,a),a)
| set_equal(b,a)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f31,f11]) ).
fof(f39,plain,
( ~ spl0_2
| spl0_1
| spl0_3
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f38,f32,f18,f35,f15]) ).
fof(f42,plain,
( element(f(b,a),a)
| set_equal(b,a)
| spl0_2 ),
inference(resolution,[status(thm)],[f34,f11]) ).
fof(f43,plain,
( spl0_3
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f42,f35,f18,f32]) ).
fof(f45,plain,
! [X0] :
( ~ set_equal(X0,b)
| ~ element(f(b,a),X0)
| spl0_2 ),
inference(resolution,[status(thm)],[f34,f8]) ).
fof(f46,plain,
( ~ element(f(b,a),b)
| set_equal(b,a)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f36,f12]) ).
fof(f47,plain,
( ~ spl0_2
| spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f46,f32,f18,f35]) ).
fof(f52,plain,
( ~ element(f(b,a),a)
| spl0_2
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f45,f16]) ).
fof(f53,plain,
( $false
| ~ spl0_3
| spl0_2
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f36]) ).
fof(f54,plain,
( ~ spl0_3
| spl0_2
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ element(f(X0,b),X0)
| set_equal(X0,b)
| ~ element(f(X0,b),a)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f19,f29]) ).
fof(f56,plain,
( spl0_4
<=> element(f(a,b),a) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ element(f(a,b),a)
| spl0_4 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_5
<=> element(f(a,b),b) ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( element(f(a,b),b)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ element(f(a,b),a)
| set_equal(a,b)
| element(f(a,b),b)
| set_equal(a,b)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f55,f11]) ).
fof(f63,plain,
( ~ spl0_4
| spl0_0
| spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f62,f56,f15,f59,f18]) ).
fof(f67,plain,
( element(f(a,b),b)
| set_equal(a,b)
| spl0_4 ),
inference(resolution,[status(thm)],[f58,f11]) ).
fof(f68,plain,
( spl0_5
| spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f67,f59,f15,f56]) ).
fof(f70,plain,
! [X0] :
( ~ set_equal(X0,a)
| ~ element(f(a,b),X0)
| spl0_4 ),
inference(resolution,[status(thm)],[f58,f8]) ).
fof(f71,plain,
( ~ element(f(a,b),a)
| set_equal(a,b)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f60,f12]) ).
fof(f72,plain,
( ~ spl0_4
| spl0_0
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f71,f56,f15,f59]) ).
fof(f77,plain,
( ~ element(f(a,b),b)
| spl0_4
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f70,f19]) ).
fof(f78,plain,
( $false
| ~ spl0_5
| spl0_4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f60]) ).
fof(f79,plain,
( ~ spl0_5
| spl0_4
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f80,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f22,f39,f43,f47,f54,f63,f68,f72,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET047-5 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.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 : Tue May 30 10:12:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.59 % Elapsed time: 0.016921 seconds
% 0.28/0.59 % CPU time: 0.051662 seconds
% 0.28/0.59 % Memory used: 2.186 MB
%------------------------------------------------------------------------------