TSTP Solution File: MGT057-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT057-1 : 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 20:28:51 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 84 ( 17 unt; 0 def)
% Number of atoms : 184 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 177 ( 77 ~; 90 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( A != B
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( ~ greater(A,B)
| greater_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(f11,axiom,
! [A,B] :
( smaller(A,B)
| A = B
| greater(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( ~ has_endowment(A)
| ~ smaller_or_equal(age(A,B),eta)
| has_immunity(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B] :
( ~ has_endowment(A)
| ~ greater(age(A,B),eta)
| ~ has_immunity(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ has_immunity(A,B)
| ~ has_immunity(A,C)
| hazard_of_mortality(A,B) = hazard_of_mortality(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B,C] :
( ~ organization(A)
| ~ has_immunity(A,B)
| has_immunity(A,C)
| greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f30,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f34,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f39,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f41,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f49,plain,
organization(sk2),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f50,plain,
has_endowment(sk2),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f51,plain,
age(sk2,sk3) = zero,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f52,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f53,plain,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f54,plain,
greater(eta,zero),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f55,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f56,plain,
( spl0_0
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_0 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f55,f56,f59]) ).
fof(f63,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f30]) ).
fof(f73,plain,
( spl0_2
<=> has_endowment(sk2) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( ~ has_endowment(sk2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_3
<=> has_immunity(sk2,sk4) ),
introduced(split_symbol_definition) ).
fof(f79,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolution,[status(thm)],[f41,f52]) ).
fof(f80,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f79,f73,f76]) ).
fof(f81,plain,
( spl0_4
<=> smaller_or_equal(zero,eta) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( ~ smaller_or_equal(zero,eta)
| spl0_4 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( spl0_5
<=> has_immunity(sk2,sk3) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ has_endowment(sk2)
| ~ smaller_or_equal(zero,eta)
| has_immunity(sk2,sk3) ),
inference(paramodulation,[status(thm)],[f51,f41]) ).
fof(f88,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f87,f73,f81,f84]) ).
fof(f89,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f75,f50]) ).
fof(f90,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( spl0_6
<=> has_immunity(sk2,sk5) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolution,[status(thm)],[f42,f53]) ).
fof(f95,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f94,f73,f91]) ).
fof(f103,plain,
greater_or_equal(eta,zero),
inference(resolution,[status(thm)],[f32,f54]) ).
fof(f112,plain,
( spl0_9
<=> zero = eta ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( zero = eta
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f125,plain,
( spl0_12
<=> greater(eta,zero) ),
introduced(split_symbol_definition) ).
fof(f126,plain,
( greater(eta,zero)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( greater(eta,zero)
| eta = zero ),
inference(resolution,[status(thm)],[f31,f103]) ).
fof(f129,plain,
( spl0_12
| spl0_9 ),
inference(split_clause,[status(thm)],[f128,f125,f112]) ).
fof(f151,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller(X1,X0) ),
inference(resolution,[status(thm)],[f39,f35]) ).
fof(f190,plain,
( ~ smaller_or_equal(eta,eta)
| ~ spl0_9
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f113,f83]) ).
fof(f191,plain,
( $false
| ~ spl0_9
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f63]) ).
fof(f192,plain,
( ~ spl0_9
| spl0_4 ),
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f204,plain,
( ~ greater(zero,eta)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f126,f36]) ).
fof(f290,plain,
( spl0_25
<=> organization(sk2) ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( ~ organization(sk2)
| spl0_25 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ organization(sk2)
| ~ has_immunity(sk2,sk4)
| ~ has_immunity(sk2,sk3)
| spl0_1 ),
inference(resolution,[status(thm)],[f47,f61]) ).
fof(f294,plain,
( ~ spl0_25
| ~ spl0_3
| ~ spl0_5
| spl0_1 ),
inference(split_clause,[status(thm)],[f293,f290,f76,f84,f59]) ).
fof(f304,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f49]) ).
fof(f305,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f313,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller_or_equal(X1,X0) ),
inference(resolution,[status(thm)],[f151,f29]) ).
fof(f324,plain,
! [X0,X1] :
( X0 = X1
| smaller_or_equal(X1,X0)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f313,f34]) ).
fof(f336,plain,
( eta = zero
| smaller_or_equal(zero,eta)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f324,f204]) ).
fof(f337,plain,
( spl0_9
| spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f336,f112,f81,f125]) ).
fof(f417,plain,
( ~ organization(sk2)
| ~ has_immunity(sk2,sk4)
| has_immunity(sk2,sk5)
| spl0_0 ),
inference(resolution,[status(thm)],[f58,f48]) ).
fof(f418,plain,
( ~ spl0_25
| ~ spl0_3
| spl0_6
| spl0_0 ),
inference(split_clause,[status(thm)],[f417,f290,f76,f91,f56]) ).
fof(f426,plain,
$false,
inference(sat_refutation,[status(thm)],[f62,f80,f88,f90,f95,f129,f192,f294,f305,f337,f418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : MGT057-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n004.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 23:32:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 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
% 0.14/0.38 % Elapsed time: 0.026663 seconds
% 0.14/0.38 % CPU time: 0.066436 seconds
% 0.14/0.38 % Total memory used: 15.425 MB
% 0.14/0.38 % Net memory used: 15.328 MB
%------------------------------------------------------------------------------