TSTP Solution File: MGT056+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Thu Aug 31 09:14:51 EDT 2023
% Result : Theorem 1.10s 1.16s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 11
% Syntax : Number of formulae : 133 ( 27 unt; 0 def)
% Number of atoms : 394 ( 94 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 404 ( 143 ~; 161 |; 78 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn; 101 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X3] :
( ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) )
& ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X4,X3] :
( ( has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X4,X3] :
( ( ~ has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,conjecture,
! [X0,X4,X5,X6] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& smaller_or_equal(age(X0,X5),eta)
& age(X0,X4) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9) ).
fof(f11,negated_conjecture,
~ ! [X0,X4,X5,X6] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& smaller_or_equal(age(X0,X5),eta)
& age(X0,X4) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f12,plain,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(rectify,[],[f9]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f17,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( X0 = X1
| greater(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f21,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f33,plain,
( ? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK2),eta)
& zero = age(sK0,sK1)
& has_endowment(sK0)
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK2),eta)
& zero = age(sK0,sK1)
& has_endowment(sK0)
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f29,f33]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f36,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f38,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f40,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f42,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f47,plain,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
organization(sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f34]) ).
fof(f56,plain,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f37]) ).
cnf(c_49,plain,
smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_50,plain,
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_51,plain,
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_52,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_53,plain,
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_54,plain,
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_56,plain,
( ~ greater(X0,X1)
| ~ greater(X2,X0)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_57,plain,
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_58,plain,
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_59,plain,
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_61,plain,
( ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_62,plain,
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_63,negated_conjecture,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_64,negated_conjecture,
greater(sigma,zero),
inference(cnf_transformation,[],[f55]) ).
cnf(c_65,negated_conjecture,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f54]) ).
cnf(c_66,negated_conjecture,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f53]) ).
cnf(c_67,negated_conjecture,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f52]) ).
cnf(c_68,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f51]) ).
cnf(c_69,negated_conjecture,
has_endowment(sK0),
inference(cnf_transformation,[],[f50]) ).
cnf(c_70,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f49]) ).
cnf(c_257,plain,
( X0 != eta
| X1 != sigma
| X0 = X1
| greater(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_65]) ).
cnf(c_258,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(unflattening,[status(thm)],[c_257]) ).
cnf(c_269,plain,
( X0 != sK0
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_69]) ).
cnf(c_270,plain,
( ~ smaller_or_equal(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_269]) ).
cnf(c_278,plain,
( X0 != sK0
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_69]) ).
cnf(c_279,plain,
( ~ greater(age(sK0,X0),eta)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_278]) ).
cnf(c_291,plain,
( X0 != sK0
| ~ has_immunity(X0,X1)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_62,c_70]) ).
cnf(c_292,plain,
( ~ has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| has_immunity(sK0,X1) ),
inference(unflattening,[status(thm)],[c_291]) ).
cnf(c_302,plain,
( X0 != sK0
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_61,c_70]) ).
cnf(c_303,plain,
( ~ has_immunity(sK0,X0)
| ~ has_immunity(sK0,X1)
| hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,X1) ),
inference(unflattening,[status(thm)],[c_302]) ).
cnf(c_324,plain,
( age(sK0,X0) != X1
| X1 != eta
| has_immunity(sK0,X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_270]) ).
cnf(c_325,plain,
( age(sK0,X0) != eta
| has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_324]) ).
cnf(c_333,plain,
( age(sK0,sK2) != X0
| X1 != eta
| X0 = X1
| smaller(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_67]) ).
cnf(c_334,plain,
( age(sK0,sK2) = eta
| smaller(age(sK0,sK2),eta) ),
inference(unflattening,[status(thm)],[c_333]) ).
cnf(c_341,plain,
( age(sK0,X0) != X1
| X2 != eta
| ~ smaller(X1,X2)
| has_immunity(sK0,X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_270]) ).
cnf(c_342,plain,
( ~ smaller(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_341]) ).
cnf(c_350,plain,
( age(sK0,X0) != age(sK0,sK2)
| eta != eta
| has_immunity(sK0,X0) ),
inference(resolution_lifted,[status(thm)],[c_67,c_270]) ).
cnf(c_384,plain,
( age(sK0,X1) != X2
| X0 != eta
| ~ greater(X0,X2)
| has_immunity(sK0,X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_342]) ).
cnf(c_385,plain,
( ~ greater(eta,age(sK0,X0))
| has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_384]) ).
cnf(c_393,plain,
( age(sK0,sK2) != X0
| X1 != eta
| age(sK0,sK2) = eta
| greater(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_334]) ).
cnf(c_394,plain,
( age(sK0,sK2) = eta
| greater(eta,age(sK0,sK2)) ),
inference(unflattening,[status(thm)],[c_393]) ).
cnf(c_401,plain,
( age(sK0,X0) != X1
| X2 != eta
| X1 = X2
| greater(X1,X2)
| has_immunity(sK0,X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_342]) ).
cnf(c_402,plain,
( age(sK0,X0) = eta
| greater(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_401]) ).
cnf(c_426,plain,
( age(sK0,X0) != age(sK0,sK2)
| has_immunity(sK0,X0) ),
inference(equality_resolution_simp,[status(thm)],[c_350]) ).
cnf(c_428,plain,
( ~ has_immunity(sK0,X0)
| ~ greater(age(sK0,X0),eta) ),
inference(prop_impl_just,[status(thm)],[c_279]) ).
cnf(c_429,plain,
( ~ greater(age(sK0,X0),eta)
| ~ has_immunity(sK0,X0) ),
inference(renaming,[status(thm)],[c_428]) ).
cnf(c_430,plain,
( has_immunity(sK0,X0)
| greater(age(sK0,X0),eta) ),
inference(prop_impl_just,[status(thm)],[c_325,c_402]) ).
cnf(c_431,plain,
( greater(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(renaming,[status(thm)],[c_430]) ).
cnf(c_440,plain,
( eta = sigma
| greater(eta,sigma) ),
inference(prop_impl_just,[status(thm)],[c_258]) ).
cnf(c_446,plain,
( has_immunity(sK0,X0)
| age(sK0,X0) != age(sK0,sK2) ),
inference(prop_impl_just,[status(thm)],[c_426]) ).
cnf(c_447,plain,
( age(sK0,X0) != age(sK0,sK2)
| has_immunity(sK0,X0) ),
inference(renaming,[status(thm)],[c_446]) ).
cnf(c_448,plain,
( has_immunity(sK0,X0)
| ~ greater(eta,age(sK0,X0)) ),
inference(prop_impl_just,[status(thm)],[c_385]) ).
cnf(c_449,plain,
( ~ greater(eta,age(sK0,X0))
| has_immunity(sK0,X0) ),
inference(renaming,[status(thm)],[c_448]) ).
cnf(c_452,plain,
( age(sK0,sK2) = eta
| greater(eta,age(sK0,sK2)) ),
inference(prop_impl_just,[status(thm)],[c_394]) ).
cnf(c_620,plain,
X0 = X0,
theory(equality) ).
cnf(c_1027,plain,
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(superposition,[status(thm)],[c_64,c_56]) ).
cnf(c_1071,plain,
( eta = sigma
| greater(eta,zero) ),
inference(superposition,[status(thm)],[c_440,c_1027]) ).
cnf(c_1094,plain,
( greater(zero,eta)
| has_immunity(sK0,sK1) ),
inference(superposition,[status(thm)],[c_68,c_431]) ).
cnf(c_1107,plain,
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,sK1)
| greater(zero,eta) ),
inference(superposition,[status(thm)],[c_1094,c_303]) ).
cnf(c_1153,plain,
age(sK0,sK2) = age(sK0,sK2),
inference(instantiation,[status(thm)],[c_620]) ).
cnf(c_1154,plain,
( age(sK0,sK2) != age(sK0,sK2)
| has_immunity(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_447]) ).
cnf(c_1266,plain,
( age(sK0,sK2) = eta
| has_immunity(sK0,sK2) ),
inference(superposition,[status(thm)],[c_452,c_449]) ).
cnf(c_1267,plain,
( ~ greater(eta,zero)
| has_immunity(sK0,sK1) ),
inference(superposition,[status(thm)],[c_68,c_449]) ).
cnf(c_1279,plain,
( eta = sigma
| has_immunity(sK0,sK1) ),
inference(superposition,[status(thm)],[c_1071,c_1267]) ).
cnf(c_1289,plain,
has_immunity(sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_1266,c_1153,c_1154]) ).
cnf(c_1291,plain,
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2)
| greater(zero,eta) ),
inference(superposition,[status(thm)],[c_1289,c_1107]) ).
cnf(c_1292,plain,
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,sK2) ),
inference(superposition,[status(thm)],[c_1289,c_303]) ).
cnf(c_1308,plain,
~ has_immunity(sK0,sK3),
inference(superposition,[status(thm)],[c_66,c_429]) ).
cnf(c_1311,plain,
( ~ greater(zero,eta)
| ~ has_immunity(sK0,sK1) ),
inference(superposition,[status(thm)],[c_68,c_429]) ).
cnf(c_1378,plain,
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2)
| eta = sigma ),
inference(superposition,[status(thm)],[c_1279,c_1292]) ).
cnf(c_1467,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| eta = sigma ),
inference(superposition,[status(thm)],[c_1378,c_63]) ).
cnf(c_1614,plain,
( ~ has_immunity(sK0,sK2)
| eta = sigma
| has_immunity(sK0,sK3) ),
inference(superposition,[status(thm)],[c_292,c_1467]) ).
cnf(c_1615,plain,
eta = sigma,
inference(forward_subsumption_resolution,[status(thm)],[c_1614,c_1308,c_1289]) ).
cnf(c_1621,plain,
greater(eta,zero),
inference(demodulation,[status(thm)],[c_64,c_1615]) ).
cnf(c_1622,plain,
has_immunity(sK0,sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_1267,c_1621]) ).
cnf(c_1623,plain,
~ greater(zero,eta),
inference(backward_subsumption_resolution,[status(thm)],[c_1311,c_1622]) ).
cnf(c_1624,plain,
hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_1291,c_1623]) ).
cnf(c_1626,plain,
~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_1624]) ).
cnf(c_1648,plain,
( ~ has_immunity(sK0,sK2)
| has_immunity(sK0,sK3) ),
inference(superposition,[status(thm)],[c_292,c_1626]) ).
cnf(c_1649,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1648,c_1308,c_1289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.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 Aug 28 06:31:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.10/1.16 % SZS status Started for theBenchmark.p
% 1.10/1.16 % SZS status Theorem for theBenchmark.p
% 1.10/1.16
% 1.10/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.10/1.16
% 1.10/1.16 ------ iProver source info
% 1.10/1.16
% 1.10/1.16 git: date: 2023-05-31 18:12:56 +0000
% 1.10/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.10/1.16 git: non_committed_changes: false
% 1.10/1.16 git: last_make_outside_of_git: false
% 1.10/1.16
% 1.10/1.16 ------ Parsing...
% 1.10/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.10/1.16
% 1.10/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 1.10/1.16
% 1.10/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.10/1.16
% 1.10/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.10/1.16 ------ Proving...
% 1.10/1.16 ------ Problem Properties
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16 clauses 16
% 1.10/1.16 conjectures 4
% 1.10/1.16 EPR 5
% 1.10/1.16 Horn 11
% 1.10/1.16 unary 3
% 1.10/1.16 binary 9
% 1.10/1.16 lits 33
% 1.10/1.16 lits eq 8
% 1.10/1.16 fd_pure 0
% 1.10/1.16 fd_pseudo 0
% 1.10/1.16 fd_cond 0
% 1.10/1.16 fd_pseudo_cond 1
% 1.10/1.16 AC symbols 0
% 1.10/1.16
% 1.10/1.16 ------ Schedule dynamic 5 is on
% 1.10/1.16
% 1.10/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16 ------
% 1.10/1.16 Current options:
% 1.10/1.16 ------
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16 ------ Proving...
% 1.10/1.16
% 1.10/1.16
% 1.10/1.16 % SZS status Theorem for theBenchmark.p
% 1.10/1.16
% 1.10/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.16
% 1.10/1.16
%------------------------------------------------------------------------------