%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:12:57 PM UTC 2026
% Result : Theorem 2.84s 1.27s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 139 ( 34 unt; 5 def)
% Number of atoms : 410 ( 97 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 394 ( 154 ~; 173 |; 52 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn 183 !; 8 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& age(X0,X1) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& age(X0,X1) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[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(unused_predicate_definition_removal,[],[f7]) ).
fof(f13,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( X0 = X1
| greater(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f19,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(ennf_transformation,[],[f12]) ).
fof(f20,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(ennf_transformation,[],[f8]) ).
fof(f21,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(flattening,[],[f20]) ).
fof(f22,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(ennf_transformation,[],[f9]) ).
fof(f23,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(flattening,[],[f22]) ).
fof(f24,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)
& age(X0,X1) = zero
& 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(ennf_transformation,[],[f11]) ).
fof(f25,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)
& age(X0,X1) = zero
& 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(flattening,[],[f24]) ).
fof(f26,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(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f29,plain,
( 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)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f25]) ).
fof(f30,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f32,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f36,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X2,X0,X1] :
( has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f29]) ).
fof(f45,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f29]) ).
fof(f46,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
organization(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) )
| ~ organization(X0)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_63,negated_conjecture,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_64,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f50]) ).
tcf(c_65,negated_conjecture,
has_endowment(sK0),
inference(cnf_transformation,[],[f49]) ).
tcf(c_66,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f48]) ).
tcf(c_67,negated_conjecture,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f47]) ).
tcf(c_68,negated_conjecture,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f46]) ).
tcf(c_69,negated_conjecture,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f45]) ).
tcf(c_70,negated_conjecture,
greater(sigma,zero),
inference(cnf_transformation,[],[f44]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( X0 != eta ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_69]) ).
tcf(c_258,plain,
( greater(eta,sigma)
| ( eta = sigma ) ),
inference(unflattening,[status(thm)],[c_257]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_65]) ).
tcf(c_268,plain,
! [X0: $i] :
( ~ has_immunity(sK0,X0)
| ~ greater(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_267]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_65]) ).
tcf(c_277,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_276]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_64]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_291]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) )
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_64]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,X1) )
| ~ has_immunity(sK0,X1)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_302]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != eta )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_67]) ).
tcf(c_325,plain,
( smaller(age(sK0,sK2),eta)
| ( age(sK0,sK2) = eta ) ),
inference(unflattening,[status(thm)],[c_324]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sK0,X0)
| ~ smaller(X1,X2)
| ( X2 != eta )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_277]) ).
tcf(c_333,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ smaller(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_332]) ).
tcf(c_350,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( eta != eta )
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_277]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X3,X1)
| greater(X0,X2)
| ( X0 = X2 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_54]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(unflattening,[status(thm)],[c_370]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sK0,sK2) = eta )
| ( X1 != eta )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_325]) ).
tcf(c_385,plain,
( greater(eta,age(sK0,sK2))
| ( age(sK0,sK2) = eta ) ),
inference(unflattening,[status(thm)],[c_384]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sK0,X1)
| ~ greater(X0,X2)
| ( X0 != eta )
| ( age(sK0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_333]) ).
tcf(c_405,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ greater(eta,age(sK0,X0)) ),
inference(unflattening,[status(thm)],[c_404]) ).
tcf(c_426,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_350]) ).
tcf(c_428,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),eta)
| ~ has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_268]) ).
tcf(c_429,plain,
! [X0: $i] :
( ~ has_immunity(sK0,X0)
| ~ greater(age(sK0,X0),eta) ),
inference(renaming,[status(thm)],[c_428]) ).
tcf(c_440,plain,
( greater(eta,sigma)
| ( eta = sigma ) ),
inference(prop_impl_just,[status(thm)],[c_258]) ).
tcf(c_446,plain,
! [X0: $i] :
( ( age(sK0,X0) != age(sK0,sK2) )
| has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_426]) ).
tcf(c_447,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(renaming,[status(thm)],[c_446]) ).
tcf(c_448,plain,
! [X0: $i] :
( ~ greater(eta,age(sK0,X0))
| has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_405]) ).
tcf(c_449,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ greater(eta,age(sK0,X0)) ),
inference(renaming,[status(thm)],[c_448]) ).
tcf(c_450,plain,
( greater(eta,age(sK0,sK2))
| ( age(sK0,sK2) = eta ) ),
inference(prop_impl_just,[status(thm)],[c_385]) ).
tcf(c_620,definition,
iPr_def_10 = age(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_621,definition,
iPr_def_11 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_622,definition,
iPr_def_12 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_623,definition,
iPr_def_13 = hazard_of_mortality(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_624,definition,
iPr_def_14 = hazard_of_mortality(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,X1) )
| ~ has_immunity(sK0,X1)
| ~ has_immunity(sK0,X0) ),
inference(demodulation,[status(thm)],[c_303]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ has_immunity(sK0,X0) ),
inference(demodulation,[status(thm)],[c_292]) ).
tcf(c_627,negated_conjecture,
greater(sigma,zero),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_628,negated_conjecture,
greater(iPr_def_10,eta),
inference(demodulation,[status(thm)],[c_68,c_620]) ).
tcf(c_629,negated_conjecture,
iPr_def_11 = zero,
inference(demodulation,[status(thm)],[c_66,c_621]) ).
tcf(c_630,negated_conjecture,
( ~ greater(iPr_def_14,iPr_def_12)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_63,c_624,c_623,c_622]) ).
tcf(c_631,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X0,X2)
| ~ greater(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1017,plain,
greater(sigma,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_627,c_629]) ).
tcf(c_1033,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X0),iPr_def_12)
| ~ has_immunity(sK0,sK2) ),
inference(superposition,[status(thm)],[c_622,c_626]) ).
tcf(c_1070,plain,
( ( eta = sigma )
| ~ greater(sigma,eta) ),
inference(superposition,[status(thm)],[c_440,c_55]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X2,X1)
| greater(X0,X2)
| ( X0 = X2 )
| ~ greater(X0,X1) ),
inference(superposition,[status(thm)],[c_371,c_56]) ).
tcf(c_1311,plain,
age(sK0,sK2) = age(sK0,sK2),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_1312,plain,
( has_immunity(sK0,sK2)
| ( age(sK0,sK2) != age(sK0,sK2) ) ),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_1380,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ~ greater(sigma,zero)
| ( X1 != zero )
| ( X0 != sigma ) ),
inference(instantiation,[status(thm)],[c_634]) ).
tcf(c_1407,plain,
( has_immunity(sK0,sK2)
| ( age(sK0,sK2) = eta ) ),
inference(superposition,[status(thm)],[c_450,c_449]) ).
tcf(c_1408,plain,
( has_immunity(sK0,sK1)
| ~ greater(eta,iPr_def_11) ),
inference(superposition,[status(thm)],[c_621,c_449]) ).
tcf(c_1511,plain,
! [X0: $i] :
( greater(eta,X0)
| ~ greater(sigma,zero)
| ( eta != sigma )
| ( X0 != zero ) ),
inference(instantiation,[status(thm)],[c_1380]) ).
tcf(c_1651,plain,
! [X0: $i] :
( greater(sigma,X0)
| greater(X0,iPr_def_11)
| ( X0 = sigma ) ),
inference(superposition,[status(thm)],[c_1017,c_1245]) ).
tcf(c_1849,plain,
has_immunity(sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_1407,c_1311,c_1312]) ).
tcf(c_1851,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X0),iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1033,c_1849]) ).
tcf(c_1855,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,sK2) )
| ~ has_immunity(sK0,X0) ),
inference(superposition,[status(thm)],[c_1849,c_625]) ).
tcf(c_1856,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = iPr_def_12 )
| ~ has_immunity(sK0,X0) ),
inference(light_normalisation,[status(thm)],[c_1855,c_622]) ).
tcf(c_1864,plain,
( has_immunity(sK0,sK3)
| greater(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_624,c_1851]) ).
tcf(c_1892,plain,
( greater(eta,iPr_def_11)
| ~ greater(sigma,zero)
| ( iPr_def_11 != zero )
| ( eta != sigma ) ),
inference(instantiation,[status(thm)],[c_1511]) ).
tcf(c_1956,plain,
( greater(eta,iPr_def_11)
| ( eta = sigma ) ),
inference(superposition,[status(thm)],[c_1651,c_1070]) ).
tcf(c_2069,plain,
greater(eta,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_1956,c_70,c_629,c_1892,c_1956]) ).
tcf(c_2071,plain,
has_immunity(sK0,sK1),
inference(backward_subsumption_resolution,[status(thm)],[c_1408,c_2069]) ).
tcf(c_2195,plain,
( ~ has_immunity(sK0,sK3)
| ~ greater(iPr_def_10,eta) ),
inference(superposition,[status(thm)],[c_620,c_429]) ).
tcf(c_2196,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_2195,c_628]) ).
tcf(c_2204,plain,
greater(iPr_def_14,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_1864,c_2196]) ).
tcf(c_2206,plain,
iPr_def_12 != iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_630,c_2204]) ).
tcf(c_4218,plain,
hazard_of_mortality(sK0,sK1) = iPr_def_12,
inference(superposition,[status(thm)],[c_2071,c_1856]) ).
tcf(c_4219,plain,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_623,c_4218]) ).
tcf(c_4220,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4219,c_2206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT056+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Thu Sep 24 01:14:43 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.43 % Proving...
% 2.84/1.27 % SZS status Started for theBenchmark.p
% 2.84/1.27 % SZS status Theorem for theBenchmark.p
% 2.84/1.27
% 2.84/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.84/1.27
% 2.84/1.27 % ------ iProver source info
% 2.84/1.27
% 2.84/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.84/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.84/1.27 % git: non_committed_changes: false
% 2.84/1.27
% 2.84/1.27 % ------ Parsing...
% 2.84/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.84/1.27
% 2.84/1.27 % ------ 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 %
% 2.84/1.27
% 2.84/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.84/1.27
% 2.84/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.84/1.27 % ------ Proving...
% 2.84/1.27 % ------ Problem Properties
% 2.84/1.27
% 2.84/1.27 %
% 2.84/1.27 % clauses 21
% 2.84/1.27 % conjectures 4
% 2.84/1.27 % EPR 8
% 2.84/1.27 % Horn 16
% 2.84/1.27 % unary 8
% 2.84/1.27 % binary 9
% 2.84/1.27 % lits 38
% 2.84/1.28 % lits eq 13
% 2.84/1.28 % fd_pure 0
% 2.84/1.28 % fd_pseudo 0
% 2.84/1.28 % fd_cond 0
% 2.84/1.28 % fd_pseudo_cond 1
% 2.84/1.28 % AC symbols 0
% 2.84/1.28
% 2.84/1.28 % ------ Schedule dynamic 5 is on
% 2.84/1.28
% 2.84/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.84/1.28
% 2.84/1.28
% 2.84/1.28 % ------
% 2.84/1.28 % Current options:
% 2.84/1.28 % ------
% 2.84/1.28
% 2.84/1.28
% 2.84/1.28 %
% 2.84/1.28
% 2.84/1.28 % ------ Proving...
% 2.84/1.28 %
% 2.84/1.28
% 2.84/1.28 % SZS status Theorem for theBenchmark.p
% 2.84/1.28
% 2.84/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.84/1.28
% 2.84/1.28
%------------------------------------------------------------------------------