TSTP Solution File: MGT056+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:21:25 EDT 2023
% Result : Theorem 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 124 ( 15 unt; 0 def)
% Number of atoms : 371 ( 48 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 384 ( 137 ~; 158 |; 63 &)
% ( 19 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 122 (; 115 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( greater(X,Y)
& greater(Y,Z) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( smaller(X,Y)
| X = Y
| greater(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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_or_equal(eta,sigma)
& greater(sigma,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/sandbox/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_or_equal(eta,sigma)
& greater(sigma,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(f14,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
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(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(f28,plain,
! [X,Y,Z] :
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X,Z] :
( ! [Y] :
( ~ greater(X,Y)
| ~ greater(Y,Z) )
| greater(X,Z) ),
inference(miniscoping,[status(esa)],[f28]) ).
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)],[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_or_equal(eta,sigma)
& greater(sigma,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_or_equal(eta,sigma)
& greater(sigma,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_or_equal(eta,sigma),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f55,plain,
greater(sigma,zero),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f56,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(f57,plain,
( spl0_0
<=> greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4)) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( ~ greater(hazard_of_mortality(sk0_2,sk0_5),hazard_of_mortality(sk0_2,sk0_4))
| spl0_0 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_1
<=> hazard_of_mortality(sk0_2,sk0_4) = hazard_of_mortality(sk0_2,sk0_3) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( hazard_of_mortality(sk0_2,sk0_4) != hazard_of_mortality(sk0_2,sk0_3)
| spl0_1 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f56,f57,f60]) ).
fof(f64,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f16]) ).
fof(f68,plain,
~ greater(zero,sigma),
inference(resolution,[status(thm)],[f27,f55]) ).
fof(f72,plain,
( spl0_3
<=> sigma = zero ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( sigma = zero
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f77,plain,
( spl0_4
<=> greater(eta,sigma) ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( greater(eta,sigma)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( spl0_5
<=> eta = sigma ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( eta = sigma
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( greater(eta,sigma)
| eta = sigma ),
inference(resolution,[status(thm)],[f19,f54]) ).
fof(f84,plain,
( spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f83,f77,f80]) ).
fof(f88,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[status(thm)],[f30,f55]) ).
fof(f89,plain,
( spl0_6
<=> has_endowment(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( ~ has_endowment(sk0_2)
| spl0_6 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( spl0_7
<=> has_immunity(sk0_2,sk0_4) ),
introduced(split_symbol_definition) ).
fof(f95,plain,
( ~ has_endowment(sk0_2)
| has_immunity(sk0_2,sk0_4) ),
inference(resolution,[status(thm)],[f37,f52]) ).
fof(f96,plain,
( ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f95,f89,f92]) ).
fof(f97,plain,
( spl0_8
<=> smaller_or_equal(zero,eta) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ smaller_or_equal(zero,eta)
| spl0_8 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( spl0_9
<=> has_immunity(sk0_2,sk0_3) ),
introduced(split_symbol_definition) ).
fof(f103,plain,
( ~ has_endowment(sk0_2)
| ~ smaller_or_equal(zero,eta)
| has_immunity(sk0_2,sk0_3) ),
inference(paramodulation,[status(thm)],[f51,f37]) ).
fof(f104,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f103,f89,f97,f100]) ).
fof(f105,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f50]) ).
fof(f106,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f108,plain,
smaller(zero,sigma),
inference(resolution,[status(thm)],[f25,f55]) ).
fof(f110,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[status(thm)],[f108,f15]) ).
fof(f111,plain,
( spl0_10
<=> smaller(zero,sigma) ),
introduced(split_symbol_definition) ).
fof(f112,plain,
( smaller(zero,sigma)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( smaller(zero,sigma)
| zero = sigma ),
inference(resolution,[status(thm)],[f14,f110]) ).
fof(f115,plain,
( spl0_10
| spl0_3 ),
inference(split_clause,[status(thm)],[f114,f111,f72]) ).
fof(f134,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller(X1,X0) ),
inference(resolution,[status(thm)],[f31,f25]) ).
fof(f143,plain,
! [X0] :
( greater(X0,zero)
| smaller(X0,sigma)
| X0 = sigma ),
inference(resolution,[status(thm)],[f88,f31]) ).
fof(f147,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller_or_equal(X1,X0) ),
inference(resolution,[status(thm)],[f134,f15]) ).
fof(f152,plain,
! [X0,X1] :
( X0 = X1
| smaller_or_equal(X1,X0)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f147,f24]) ).
fof(f169,plain,
( spl0_18
<=> has_immunity(sk0_2,sk0_5) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( ~ has_endowment(sk0_2)
| ~ has_immunity(sk0_2,sk0_5) ),
inference(resolution,[status(thm)],[f38,f53]) ).
fof(f173,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f172,f89,f169]) ).
fof(f176,plain,
( spl0_19
<=> greater(zero,eta) ),
introduced(split_symbol_definition) ).
fof(f177,plain,
( greater(zero,eta)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( ~ greater(zero,eta)
| spl0_19 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f188,plain,
( ~ greater(zero,zero)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f73,f68]) ).
fof(f190,plain,
( greater(zero,zero)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f73,f55]) ).
fof(f210,plain,
( spl0_23
<=> eta = zero ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( eta = zero
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( eta = zero
| smaller_or_equal(zero,eta)
| spl0_19 ),
inference(resolution,[status(thm)],[f178,f152]) ).
fof(f214,plain,
( spl0_23
| spl0_8
| spl0_19 ),
inference(split_clause,[status(thm)],[f213,f210,f97,f176]) ).
fof(f221,plain,
( ~ smaller_or_equal(eta,eta)
| ~ spl0_23
| spl0_8 ),
inference(backward_demodulation,[status(thm)],[f211,f99]) ).
fof(f222,plain,
( $false
| ~ spl0_23
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f64]) ).
fof(f223,plain,
( ~ spl0_23
| spl0_8 ),
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f240,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f188]) ).
fof(f241,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f244,plain,
( ~ greater(eta,zero)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f177,f27]) ).
fof(f250,plain,
( greater(sigma,zero)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f112,f24]) ).
fof(f287,plain,
( greater(eta,zero)
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f81,f250]) ).
fof(f288,plain,
( $false
| ~ spl0_19
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f244]) ).
fof(f289,plain,
( ~ spl0_19
| ~ spl0_5
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f288]) ).
fof(f352,plain,
! [X0] :
( smaller(X0,sigma)
| X0 = sigma
| smaller(zero,X0) ),
inference(resolution,[status(thm)],[f143,f25]) ).
fof(f361,plain,
( spl0_34
<=> organization(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f363,plain,
( ~ organization(sk0_2)
| spl0_34 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( ~ organization(sk0_2)
| ~ has_immunity(sk0_2,sk0_4)
| ~ has_immunity(sk0_2,sk0_3)
| spl0_1 ),
inference(resolution,[status(thm)],[f44,f62]) ).
fof(f365,plain,
( ~ spl0_34
| ~ spl0_7
| ~ spl0_9
| spl0_1 ),
inference(split_clause,[status(thm)],[f364,f361,f92,f100,f60]) ).
fof(f368,plain,
( $false
| spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f363,f49]) ).
fof(f369,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f377,plain,
! [X0] :
( smaller(X0,sigma)
| X0 = sigma
| smaller_or_equal(zero,X0) ),
inference(resolution,[status(thm)],[f352,f15]) ).
fof(f394,plain,
! [X0] :
( X0 = sigma
| smaller_or_equal(zero,X0)
| greater(sigma,X0) ),
inference(resolution,[status(thm)],[f377,f24]) ).
fof(f406,plain,
! [X0] :
( X0 = sigma
| smaller_or_equal(zero,X0)
| ~ greater(X0,sigma) ),
inference(resolution,[status(thm)],[f394,f27]) ).
fof(f507,plain,
( ~ organization(sk0_2)
| ~ has_immunity(sk0_2,sk0_4)
| has_immunity(sk0_2,sk0_5)
| spl0_0 ),
inference(resolution,[status(thm)],[f59,f46]) ).
fof(f508,plain,
( ~ spl0_34
| ~ spl0_7
| spl0_18
| spl0_0 ),
inference(split_clause,[status(thm)],[f507,f361,f92,f169,f57]) ).
fof(f607,plain,
( eta = sigma
| smaller_or_equal(zero,eta)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f406,f78]) ).
fof(f608,plain,
( spl0_5
| spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f607,f80,f97,f77]) ).
fof(f615,plain,
$false,
inference(sat_refutation,[status(thm)],[f63,f84,f96,f104,f106,f115,f173,f214,f223,f241,f289,f365,f369,f508,f608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n007.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:56:31 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28 % Elapsed time: 0.018925 seconds
% 0.07/0.28 % CPU time: 0.051623 seconds
% 0.07/0.28 % Memory used: 15.086 MB
%------------------------------------------------------------------------------