TSTP Solution File: MGT057+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n027.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 12:21:26 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 11 unt; 0 def)
% Number of atoms : 287 ( 36 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 306 ( 109 ~; 118 |; 58 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 104 (; 97 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( smaller(X,Y)
| X = Y
| greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( has_endowment(X)
<=> ! [T] :
( organization(X)
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& has_immunity(X,T) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,T0,T] :
( ( organization(X)
& has_immunity(X,T0)
& ~ has_immunity(X,T) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,conjecture,
! [X,T0,T1,T2] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ ! [X,T0,T1,T2] :
( ( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X,Y] :
( ( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y )
& ( smaller_or_equal(X,Y)
| ( ~ smaller(X,Y)
& X != Y ) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
( ! [X,Y] :
( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y )
& ! [X,Y] :
( smaller_or_equal(X,Y)
| ( ~ smaller(X,Y)
& X != Y ) ) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
! [X,Y] :
( ( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y )
& ( greater_or_equal(X,Y)
| ( ~ greater(X,Y)
& X != Y ) ) ),
inference(NNF_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
( ! [X,Y] :
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y )
& ! [X,Y] :
( greater_or_equal(X,Y)
| ( ~ greater(X,Y)
& X != Y ) ) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f22,plain,
! [X,Y] :
( ( ~ smaller(X,Y)
| greater(Y,X) )
& ( smaller(X,Y)
| ~ greater(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
( ! [X,Y] :
( ~ smaller(X,Y)
| greater(Y,X) )
& ! [X,Y] :
( smaller(X,Y)
| ~ greater(Y,X) ) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f26,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f31,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f32,plain,
! [X] :
( has_endowment(X)
<=> ! [T] :
( organization(X)
& ( ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ( ~ greater(age(X,T),eta)
| ~ has_immunity(X,T) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f33,plain,
! [X] :
( ( ~ has_endowment(X)
| ! [T] :
( organization(X)
& ( ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ( ~ greater(age(X,T),eta)
| ~ has_immunity(X,T) ) ) )
& ( has_endowment(X)
| ? [T] :
( ~ organization(X)
| ( smaller_or_equal(age(X,T),eta)
& ~ has_immunity(X,T) )
| ( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
( ! [X] :
( ~ has_endowment(X)
| ( organization(X)
& ! [T] :
( ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ! [T] :
( ~ greater(age(X,T),eta)
| ~ has_immunity(X,T) ) ) )
& ! [X] :
( has_endowment(X)
| ~ organization(X)
| ? [T] :
( smaller_or_equal(age(X,T),eta)
& ~ has_immunity(X,T) )
| ? [T] :
( greater(age(X,T),eta)
& has_immunity(X,T) ) ) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f35,plain,
( ! [X] :
( ~ has_endowment(X)
| ( organization(X)
& ! [T] :
( ~ smaller_or_equal(age(X,T),eta)
| has_immunity(X,T) )
& ! [T] :
( ~ greater(age(X,T),eta)
| ~ has_immunity(X,T) ) ) )
& ! [X] :
( has_endowment(X)
| ~ organization(X)
| ( smaller_or_equal(age(X,sk0_0(X)),eta)
& ~ has_immunity(X,sk0_0(X)) )
| ( greater(age(X,sk0_1(X)),eta)
& has_immunity(X,sk0_1(X)) ) ) ),
inference(skolemization,[status(esa)],[f34]) ).
fof(f37,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f43,plain,
! [X,T0,T] :
( ~ organization(X)
| ~ has_immunity(X,T0)
| ~ has_immunity(X,T)
| hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f44,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)],[f43]) ).
fof(f45,plain,
! [X,T0,T] :
( ~ organization(X)
| ~ has_immunity(X,T0)
| has_immunity(X,T)
| greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f46,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)],[f45]) ).
fof(f47,plain,
? [X,T0,T1,T2] :
( organization(X)
& has_endowment(X)
& age(X,T0) = zero
& smaller_or_equal(age(X,T1),eta)
& greater(age(X,T2),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
| hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f48,plain,
( organization(sk0_2)
& has_endowment(sk0_2)
& age(sk0_2,sk0_3) = zero
& smaller_or_equal(age(sk0_2,sk0_4),eta)
& greater(age(sk0_2,sk0_5),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4))
| hazard_of_mortality(sk0_2,sk0_4) != hazard_of_mortality(sk0_2,sk0_3) ) ),
inference(skolemization,[status(esa)],[f47]) ).
fof(f49,plain,
organization(sk0_2),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
has_endowment(sk0_2),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f51,plain,
age(sk0_2,sk0_3) = zero,
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f52,plain,
smaller_or_equal(age(sk0_2,sk0_4),eta),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f53,plain,
greater(age(sk0_2,sk0_5),eta),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f54,plain,
greater(eta,zero),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f55,plain,
( ~ greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4))
| hazard_of_mortality(sk0_2,sk0_4) != hazard_of_mortality(sk0_2,sk0_3) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f56,plain,
( spl0_0
<=> greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4))
| spl0_0 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_1
<=> hazard_of_mortality(sk0_2,sk0_4) = hazard_of_mortality(sk0_2,sk0_3) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( hazard_of_mortality(sk0_2,sk0_4) != hazard_of_mortality(sk0_2,sk0_3)
| 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)],[f16]) ).
fof(f73,plain,
( spl0_2
<=> has_endowment(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( ~ has_endowment(sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_3
<=> has_immunity(sk0_2,sk0_4) ),
introduced(split_symbol_definition) ).
fof(f79,plain,
( ~ has_endowment(sk0_2)
| has_immunity(sk0_2,sk0_4) ),
inference(resolution,[status(thm)],[f37,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(sk0_2,sk0_3) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ has_endowment(sk0_2)
| ~ smaller_or_equal(zero,eta)
| has_immunity(sk0_2,sk0_3) ),
inference(paramodulation,[status(thm)],[f51,f37]) ).
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(sk0_2,sk0_5) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( ~ has_endowment(sk0_2)
| ~ has_immunity(sk0_2,sk0_5) ),
inference(resolution,[status(thm)],[f38,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)],[f20,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)],[f19,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)],[f31,f25]) ).
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,f27]) ).
fof(f290,plain,
( spl0_25
<=> organization(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( ~ organization(sk0_2)
| spl0_25 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ organization(sk0_2)
| ~ has_immunity(sk0_2,sk0_4)
| ~ has_immunity(sk0_2,sk0_3)
| spl0_1 ),
inference(resolution,[status(thm)],[f44,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,f15]) ).
fof(f324,plain,
! [X0,X1] :
( X0 = X1
| smaller_or_equal(X1,X0)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f313,f24]) ).
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(f415,plain,
( ~ organization(sk0_2)
| ~ has_immunity(sk0_2,sk0_4)
| has_immunity(sk0_2,sk0_5)
| spl0_0 ),
inference(resolution,[status(thm)],[f58,f46]) ).
fof(f416,plain,
( ~ spl0_25
| ~ spl0_3
| spl0_6
| spl0_0 ),
inference(split_clause,[status(thm)],[f415,f290,f76,f91,f56]) ).
fof(f424,plain,
$false,
inference(sat_refutation,[status(thm)],[f62,f80,f88,f90,f95,f129,f192,f294,f305,f337,f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:29:03 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.59 % Elapsed time: 0.044792 seconds
% 0.17/0.59 % CPU time: 0.020150 seconds
% 0.17/0.59 % Memory used: 3.857 MB
%------------------------------------------------------------------------------