TSTP Solution File: MGT048-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT048-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:28:48 EDT 2024
% Result : Unsatisfiable 0.08s 0.30s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 60 ( 18 unt; 0 def)
% Number of atoms : 120 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 60 ~; 57 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( A != B
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( ~ smaller(A,B)
| greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( ~ greater(A,B)
| smaller(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] :
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( smaller(A,B)
| A = B
| greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] :
( ~ organization(A)
| stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(internal_friction(A,B),internal_friction(A,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f29,plain,
! [A,C] :
( ! [B] :
( ~ greater(A,B)
| ~ greater(B,C) )
| greater(A,C) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
! [A] :
( ~ organization(A)
| ! [B,C] : stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f38,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f39,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f40,plain,
~ smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f22]) ).
fof(f61,plain,
! [X0,X1] : stock_of_knowledge(sk1,X0) = stock_of_knowledge(sk1,X1),
inference(resolution,[status(thm)],[f36,f38]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| ~ greater(X2,X0) ),
inference(resolution,[status(thm)],[f30,f28]) ).
fof(f78,plain,
! [X0] :
( ~ greater(X0,X0)
| ~ greater(X0,X0) ),
inference(factoring,[status(esa)],[f66]) ).
fof(f79,plain,
! [X0] : ~ greater(X0,X0),
inference(duplicate_literals_removal,[status(esa)],[f78]) ).
fof(f81,plain,
! [X0] : ~ smaller(X0,X0),
inference(resolution,[status(thm)],[f79,f26]) ).
fof(f83,plain,
! [X0,X1] :
( ~ greater(age(sk1,X0),age(sk1,X1))
| greater(internal_friction(sk1,X0),internal_friction(sk1,X1)) ),
inference(resolution,[status(thm)],[f37,f38]) ).
fof(f126,plain,
! [X0,X1] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
| smaller(capability(sk1,X0),capability(sk1,X1)) ),
inference(resolution,[status(thm)],[f33,f38]) ).
fof(f355,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(resolution,[status(thm)],[f83,f39]) ).
fof(f395,plain,
( spl0_17
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f403,plain,
~ greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3)),
inference(resolution,[status(thm)],[f355,f28]) ).
fof(f404,plain,
smaller(internal_friction(sk1,sk2),internal_friction(sk1,sk3)),
inference(resolution,[status(thm)],[f355,f27]) ).
fof(f416,plain,
~ smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(resolution,[status(thm)],[f403,f26]) ).
fof(f441,plain,
( spl0_22
<=> smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_22 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f482,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk3))
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f396,f404]) ).
fof(f483,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f81]) ).
fof(f484,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f483]) ).
fof(f548,plain,
! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| spl0_22 ),
inference(paramodulation,[status(thm)],[f61,f443]) ).
fof(f608,plain,
( $false
| spl0_22 ),
inference(resolution,[status(thm)],[f548,f41]) ).
fof(f609,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f648,plain,
! [X0] :
( smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f61,f442]) ).
fof(f655,plain,
! [X0,X1] :
( smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ spl0_22 ),
inference(paramodulation,[status(thm)],[f61,f648]) ).
fof(f657,plain,
! [X0,X1] :
( ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
| smaller(capability(sk1,X0),capability(sk1,X1))
| ~ spl0_22 ),
inference(backward_subsumption_resolution,[status(thm)],[f126,f655]) ).
fof(f673,plain,
! [X0,X1] :
( smaller(capability(sk1,X0),capability(sk1,X1))
| smaller(internal_friction(sk1,X0),internal_friction(sk1,X1))
| internal_friction(sk1,X0) = internal_friction(sk1,X1)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f657,f31]) ).
fof(f699,plain,
( spl0_32
<=> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f700,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f40,f673]) ).
fof(f703,plain,
( spl0_32
| spl0_17
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f702,f699,f395,f441]) ).
fof(f710,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f416]) ).
fof(f711,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f712,plain,
$false,
inference(sat_refutation,[status(thm)],[f484,f609,f703,f711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : MGT048-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 29 23:45:20 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % Drodi V3.6.0
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.31 % Elapsed time: 0.028600 seconds
% 0.08/0.31 % CPU time: 0.116769 seconds
% 0.08/0.31 % Total memory used: 17.467 MB
% 0.08/0.31 % Net memory used: 17.264 MB
%------------------------------------------------------------------------------