TSTP Solution File: CAT005-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:13:17 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 65 ( 19 unt; 0 def)
% Number of atoms : 129 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 116 ( 52 ~; 55 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y,Xy,Z] :
( ~ product(X,Y,Xy)
| ~ defined(Xy,Z)
| defined(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : identity_map(domain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : identity_map(codomain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : defined(X,domain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(Y)
| product(X,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
defined(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
identity_map(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [Y,Z] :
( ! [Xy] :
( ! [X] : ~ product(X,Y,Xy)
| ~ defined(Xy,Z) )
| defined(Y,Z) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f39,plain,
! [X0] : identity_map(domain(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f40,plain,
! [X0] : identity_map(codomain(X0)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f41,plain,
! [X0] : defined(X0,domain(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f45,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f46,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f47,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
defined(a,d),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f50,plain,
identity_map(d),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f51,plain,
domain(a) != d,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f75,plain,
( spl0_2
<=> identity_map(d) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( ~ identity_map(d)
| spl0_2 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( spl0_3
<=> product(a,d,a) ),
introduced(split_symbol_definition) ).
fof(f79,plain,
( product(a,d,a)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ identity_map(d)
| product(a,d,a) ),
inference(resolution,[status(thm)],[f46,f49]) ).
fof(f82,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f81,f75,f78]) ).
fof(f84,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f50]) ).
fof(f85,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f152,plain,
! [X0] :
( ~ defined(a,X0)
| defined(d,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f26,f79]) ).
fof(f165,plain,
( defined(d,domain(a))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f152,f41]) ).
fof(f174,plain,
( spl0_5
<=> identity_map(domain(a)) ),
introduced(split_symbol_definition) ).
fof(f176,plain,
( ~ identity_map(domain(a))
| spl0_5 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_6
<=> product(d,domain(a),d) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product(d,domain(a),d)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ identity_map(domain(a))
| product(d,domain(a),d)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f165,f46]) ).
fof(f181,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f180,f174,f177,f78]) ).
fof(f182,plain,
( spl0_7
<=> product(d,domain(a),domain(a)) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( product(d,domain(a),domain(a))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( ~ identity_map(d)
| product(d,domain(a),domain(a))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f165,f45]) ).
fof(f186,plain,
( ~ spl0_2
| spl0_7
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f185,f75,f182,f78]) ).
fof(f188,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f39]) ).
fof(f189,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f216,plain,
( spl0_9
<=> identity_map(domain(d)) ),
introduced(split_symbol_definition) ).
fof(f218,plain,
( ~ identity_map(domain(d))
| spl0_9 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f225,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f39]) ).
fof(f226,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f243,plain,
! [X0] :
( ~ product(d,domain(a),X0)
| d = X0
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f178,f48]) ).
fof(f266,plain,
( spl0_16
<=> defined(a,d) ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( ~ defined(a,d)
| spl0_16 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f388,plain,
( spl0_18
<=> identity_map(codomain(domain(a))) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( ~ identity_map(codomain(domain(a)))
| spl0_18 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f397,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f40]) ).
fof(f398,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f397]) ).
fof(f434,plain,
( spl0_21
<=> identity_map(codomain(d)) ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( ~ identity_map(codomain(d))
| spl0_21 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f443,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f40]) ).
fof(f444,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f465,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f49]) ).
fof(f466,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f465]) ).
fof(f471,plain,
( d = domain(a)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f243,f183]) ).
fof(f472,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f51]) ).
fof(f473,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f472]) ).
fof(f474,plain,
$false,
inference(sat_refutation,[status(thm)],[f82,f85,f181,f186,f189,f226,f398,f444,f466,f473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.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 22:34:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.022300 seconds
% 0.13/0.37 % CPU time: 0.064940 seconds
% 0.13/0.37 % Total memory used: 5.325 MB
% 0.13/0.37 % Net memory used: 5.215 MB
%------------------------------------------------------------------------------