%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 02:12:58 PM UTC 2026
% Result : Theorem 1.98s 1.29s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 107 ( 34 unt; 5 def)
% Number of atoms : 309 ( 64 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 284 ( 113 ~; 115 |; 45 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 126 !; 8 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,conjecture,
! [X0,X1,X2,X3] :
( ( greater(eta,zero)
& 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/sandbox/benchmark/theBenchmark.p',theorem_6) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( greater(eta,zero)
& 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(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
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(ennf_transformation,[],[f12]) ).
fof(f17,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(f18,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,[],[f17]) ).
fof(f19,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(f20,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,[],[f19]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( greater(eta,zero)
& 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(f22,plain,
? [X0,X1,X2,X3] :
( greater(eta,zero)
& 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,[],[f21]) ).
fof(f23,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(f24,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,[],[f23]) ).
fof(f26,plain,
( greater(eta,zero)
& 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)],[f22]) ).
fof(f28,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f29,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f32,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,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,[],[f18]) ).
fof(f39,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,[],[f20]) ).
fof(f40,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
organization(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f46,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,[],[f26]) ).
fof(f47,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f28]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_50,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_60,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,[],[f38]) ).
tcf(c_61,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,[],[f39]) ).
tcf(c_62,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,[],[f46]) ).
tcf(c_63,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f45]) ).
tcf(c_64,negated_conjecture,
has_endowment(sK0),
inference(cnf_transformation,[],[f44]) ).
tcf(c_65,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f43]) ).
tcf(c_66,negated_conjecture,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f42]) ).
tcf(c_67,negated_conjecture,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f41]) ).
tcf(c_68,negated_conjecture,
greater(eta,zero),
inference(cnf_transformation,[],[f40]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_64]) ).
tcf(c_240,plain,
! [X0: $i] :
( ~ has_immunity(sK0,X0)
| ~ greater(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_239]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_64]) ).
tcf(c_249,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_248]) ).
tcf(c_263,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_61,c_63]) ).
tcf(c_264,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_263]) ).
tcf(c_274,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_60,c_63]) ).
tcf(c_275,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_274]) ).
tcf(c_304,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_249]) ).
tcf(c_305,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ~ smaller(age(sK0,X0),eta) ),
inference(unflattening,[status(thm)],[c_304]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X0)
| ( X1 != eta )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_249]) ).
tcf(c_314,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( age(sK0,X0) != eta ) ),
inference(unflattening,[status(thm)],[c_313]) ).
tcf(c_322,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( eta != eta )
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_249]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sK0,X0)
| greater(X1,X2)
| ( X1 = X2 )
| ( X2 != eta )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_305]) ).
tcf(c_365,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(age(sK0,X0),eta)
| ( age(sK0,X0) = eta ) ),
inference(unflattening,[status(thm)],[c_364]) ).
tcf(c_398,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_322]) ).
tcf(c_400,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),eta)
| ~ has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_240]) ).
tcf(c_401,plain,
! [X0: $i] :
( ~ has_immunity(sK0,X0)
| ~ greater(age(sK0,X0),eta) ),
inference(renaming,[status(thm)],[c_400]) ).
tcf(c_402,plain,
! [X0: $i] :
( greater(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_314,c_365]) ).
tcf(c_403,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(age(sK0,X0),eta) ),
inference(renaming,[status(thm)],[c_402]) ).
tcf(c_414,plain,
! [X0: $i] :
( ( age(sK0,X0) != age(sK0,sK2) )
| has_immunity(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_398]) ).
tcf(c_415,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(renaming,[status(thm)],[c_414]) ).
tcf(c_578,definition,
iPr_def_10 = age(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_579,definition,
iPr_def_11 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_580,definition,
iPr_def_12 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_581,definition,
iPr_def_13 = hazard_of_mortality(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_582,definition,
iPr_def_14 = hazard_of_mortality(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_583,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_275]) ).
tcf(c_584,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_264]) ).
tcf(c_585,negated_conjecture,
greater(eta,zero),
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_586,negated_conjecture,
greater(iPr_def_10,eta),
inference(demodulation,[status(thm)],[c_67,c_578]) ).
tcf(c_587,negated_conjecture,
iPr_def_11 = zero,
inference(demodulation,[status(thm)],[c_65,c_579]) ).
tcf(c_588,negated_conjecture,
( ~ greater(iPr_def_14,iPr_def_12)
| ( iPr_def_12 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_62,c_582,c_581,c_580]) ).
tcf(c_589,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_955,plain,
greater(eta,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_585,c_587]) ).
tcf(c_971,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_580,c_584]) ).
tcf(c_981,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X0),iPr_def_13)
| ~ has_immunity(sK0,sK1) ),
inference(superposition,[status(thm)],[c_581,c_584]) ).
tcf(c_1006,plain,
~ greater(iPr_def_11,eta),
inference(superposition,[status(thm)],[c_955,c_54]) ).
tcf(c_1123,plain,
age(sK0,sK2) = age(sK0,sK2),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_1124,plain,
( has_immunity(sK0,sK2)
| ( age(sK0,sK2) != age(sK0,sK2) ) ),
inference(instantiation,[status(thm)],[c_415]) ).
tcf(c_1236,plain,
( has_immunity(sK0,sK1)
| greater(iPr_def_11,eta) ),
inference(superposition,[status(thm)],[c_579,c_403]) ).
tcf(c_1240,plain,
has_immunity(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_1236,c_1006]) ).
tcf(c_1244,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X0),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_981,c_1240]) ).
tcf(c_1253,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = hazard_of_mortality(sK0,sK1) )
| ~ has_immunity(sK0,X0) ),
inference(superposition,[status(thm)],[c_1240,c_583]) ).
tcf(c_1254,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = iPr_def_13 )
| ~ has_immunity(sK0,X0) ),
inference(light_normalisation,[status(thm)],[c_1253,c_581]) ).
tcf(c_1263,plain,
( has_immunity(sK0,sK2)
| greater(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_580,c_1244]) ).
tcf(c_1298,plain,
has_immunity(sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_1263,c_1123,c_1124]) ).
tcf(c_1300,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,X0),iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_971,c_1298]) ).
tcf(c_1313,plain,
( has_immunity(sK0,sK3)
| greater(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_582,c_1300]) ).
tcf(c_1781,plain,
( ~ has_immunity(sK0,sK3)
| ~ greater(iPr_def_10,eta) ),
inference(superposition,[status(thm)],[c_578,c_401]) ).
tcf(c_1782,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_1781,c_586]) ).
tcf(c_1791,plain,
greater(iPr_def_14,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_1313,c_1782]) ).
tcf(c_1794,plain,
iPr_def_12 != iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_588,c_1791]) ).
tcf(c_4954,plain,
hazard_of_mortality(sK0,sK2) = iPr_def_13,
inference(superposition,[status(thm)],[c_1298,c_1254]) ).
tcf(c_4956,plain,
iPr_def_12 = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_4954,c_580]) ).
tcf(c_4957,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4956,c_1794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:18:08 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.98/1.29 % SZS status Started for theBenchmark.p
% 1.98/1.29 % SZS status Theorem for theBenchmark.p
% 1.98/1.29
% 1.98/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.98/1.29
% 1.98/1.29 % ------ iProver source info
% 1.98/1.29
% 1.98/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.98/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.98/1.29 % git: non_committed_changes: false
% 1.98/1.29
% 1.98/1.29 % ------ Parsing...
% 1.98/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.98/1.29
% 1.98/1.29 % ------ 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: 4 0s sf_e pe_s pe_e %
% 1.98/1.29
% 1.98/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.98/1.29
% 1.98/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.98/1.29 % ------ Proving...
% 1.98/1.29 % ------ Problem Properties
% 1.98/1.29
% 1.98/1.29 %
% 1.98/1.29 % clauses 20
% 1.98/1.29 % conjectures 4
% 1.98/1.29 % EPR 7
% 1.98/1.29 % Horn 16
% 1.98/1.29 % unary 8
% 1.98/1.29 % binary 8
% 1.98/1.29 % lits 36
% 1.98/1.29 % lits eq 12
% 1.98/1.29 % fd_pure 0
% 1.98/1.29 % fd_pseudo 0
% 1.98/1.29 % fd_cond 0
% 1.98/1.29 % fd_pseudo_cond 1
% 1.98/1.29 % AC symbols 0
% 1.98/1.29
% 1.98/1.29 % ------ Schedule dynamic 5 is on
% 1.98/1.29
% 1.98/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.98/1.29
% 1.98/1.29
% 1.98/1.29 % ------
% 1.98/1.29 % Current options:
% 1.98/1.29 % ------
% 1.98/1.29
% 1.98/1.29
% 1.98/1.29 %
% 1.98/1.29
% 1.98/1.29 % ------ Proving...
% 1.98/1.29 %
% 1.98/1.29
% 1.98/1.29 % SZS status Theorem for theBenchmark.p
% 1.98/1.29
% 1.98/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.29
% 1.98/1.29
%------------------------------------------------------------------------------