TSTP Solution File: MGT050-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:28:49 EDT 2024
% Result : Unsatisfiable 5.66s 1.16s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 79 ( 18 unt; 0 def)
% Number of atoms : 175 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 178 ( 82 ~; 87 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] :
( A != B
| greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( ~ smaller(A,B)
| greater(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B,C] :
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,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/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B,C] :
( ~ organization(A)
| external_ties(A,B) != external_ties(A,C)
| position(A,B) = position(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C] :
( ~ organization(A)
| stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C] :
( ~ organization(A)
| external_ties(A,B) = external_ties(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,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/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f34,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f40,plain,
! [A] :
( ~ organization(A)
| has_endowment(A)
| ! [B] : ~ has_immunity(A,B) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f41,plain,
! [X0,X1] :
( ~ organization(X0)
| has_endowment(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f46,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)],[f17]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f50,plain,
! [A] :
( ~ organization(A)
| ! [B,C] : stock_of_knowledge(A,B) = stock_of_knowledge(A,C) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f52,plain,
! [A] :
( ~ organization(A)
| ! [B,C] : external_ties(A,B) = external_ties(A,C) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| external_ties(X0,X1) = external_ties(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,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)],[f23]) ).
fof(f55,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f56,plain,
~ has_endowment(sk1),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f57,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f58,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f59,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f30]) ).
fof(f60,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f33]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| position(X0,X1) = position(X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f53]) ).
fof(f66,plain,
( spl0_0
<=> organization(sk1) ),
introduced(split_symbol_definition) ).
fof(f68,plain,
( ~ organization(sk1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( spl0_1
<=> greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f70,plain,
( greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( ~ organization(sk1)
| greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
inference(resolution,[status(thm)],[f54,f57]) ).
fof(f73,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f72,f66,f69]) ).
fof(f74,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f55]) ).
fof(f75,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f74]) ).
fof(f677,plain,
! [X0,X1] : stock_of_knowledge(sk1,X0) = stock_of_knowledge(sk1,X1),
inference(resolution,[status(thm)],[f51,f55]) ).
fof(f682,plain,
! [X0,X1] : position(sk1,X0) = position(sk1,X1),
inference(resolution,[status(thm)],[f62,f55]) ).
fof(f1008,plain,
( spl0_55
<=> smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_55 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_56
<=> smaller(capability(sk1,sk3),capability(sk1,sk2)) ),
introduced(split_symbol_definition) ).
fof(f1012,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( ~ organization(sk1)
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f46,f70]) ).
fof(f1015,plain,
( ~ spl0_0
| ~ spl0_55
| spl0_56
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1014,f66,f1008,f1011,f69]) ).
fof(f1460,plain,
! [X0] :
( ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,sk2))
| spl0_55 ),
inference(paramodulation,[status(thm)],[f677,f1010]) ).
fof(f1644,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f1012,f34]) ).
fof(f1973,plain,
( spl0_98
<=> has_immunity(sk1,sk3) ),
introduced(split_symbol_definition) ).
fof(f1974,plain,
( has_immunity(sk1,sk3)
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f1973]) ).
fof(f1976,plain,
( spl0_99
<=> has_immunity(sk1,sk2) ),
introduced(split_symbol_definition) ).
fof(f1977,plain,
( has_immunity(sk1,sk2)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f1976]) ).
fof(f1979,plain,
( spl0_100
<=> greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
introduced(split_symbol_definition) ).
fof(f1981,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| spl0_100 ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1982,plain,
( spl0_101
<=> smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
introduced(split_symbol_definition) ).
fof(f1983,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1982]) ).
fof(f1985,plain,
( ~ organization(sk1)
| has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f1644,f42]) ).
fof(f1986,plain,
( ~ spl0_0
| spl0_98
| spl0_99
| ~ spl0_100
| spl0_101
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1985,f66,f1973,f1976,f1979,f1982,f1011]) ).
fof(f2007,plain,
( spl0_104
<=> has_endowment(sk1) ),
introduced(split_symbol_definition) ).
fof(f2008,plain,
( has_endowment(sk1)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f2007]) ).
fof(f2010,plain,
( ~ organization(sk1)
| has_endowment(sk1)
| ~ spl0_99 ),
inference(resolution,[status(thm)],[f1977,f41]) ).
fof(f2011,plain,
( ~ spl0_0
| spl0_104
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f2010,f66,f2007,f1976]) ).
fof(f2012,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2008,f56]) ).
fof(f2013,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2014,plain,
( ~ organization(sk1)
| has_endowment(sk1)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f1974,f41]) ).
fof(f2015,plain,
( ~ spl0_0
| spl0_104
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2014,f66,f2007,f1973]) ).
fof(f2679,plain,
! [X0] :
( ~ greater_or_equal(position(sk1,X0),position(sk1,sk3))
| spl0_100 ),
inference(paramodulation,[status(thm)],[f682,f1981]) ).
fof(f2685,plain,
( $false
| spl0_55 ),
inference(resolution,[status(thm)],[f1460,f59]) ).
fof(f2686,plain,
spl0_55,
inference(contradiction_clause,[status(thm)],[f2685]) ).
fof(f2689,plain,
( $false
| spl0_100 ),
inference(resolution,[status(thm)],[f2679,f60]) ).
fof(f2690,plain,
spl0_100,
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f3078,plain,
( greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f1983,f34]) ).
fof(f3079,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f3078,f58]) ).
fof(f3080,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3081,plain,
$false,
inference(sat_refutation,[status(thm)],[f73,f75,f1015,f1986,f2011,f2013,f2015,f2686,f2690,f3080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 23:31:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 5.66/1.16 % Refutation found
% 5.66/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.66/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.45/1.18 % Elapsed time: 0.830460 seconds
% 6.45/1.18 % CPU time: 6.503018 seconds
% 6.45/1.18 % Total memory used: 95.955 MB
% 6.45/1.18 % Net memory used: 93.667 MB
%------------------------------------------------------------------------------