%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT051-1 : 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 : n008.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 02:12:56 PM UTC 2026
% Result : Unsatisfiable 40.26s 6.54s
% Output : CNFRefutation 40.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 96 ( 19 unt; 0 def)
% Number of atoms : 275 ( 53 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 328 ( 149 ~; 179 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 151 !; 0 ?; 103 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
fof(f2,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f6,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f10,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f13,axiom,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
fof(f14,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
fof(f19,axiom,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_48) ).
fof(f20,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_49) ).
fof(f21,axiom,
! [X2,X0,X1] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_50) ).
fof(f26,axiom,
! [X2,X0,X1] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).
fof(f30,axiom,
! [X2,X0,X1] :
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).
fof(f31,plain,
! [X2,X0,X1] :
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
! [X2,X0,X1] :
( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_58) ).
fof(f33,axiom,
! [X2,X0,X1] :
( external_ties(X0,X1) = external_ties(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_59) ).
fof(f34,axiom,
! [X2,X0,X1] :
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_60) ).
fof(f35,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_61) ).
fof(f36,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_62) ).
fof(f37,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_63) ).
fof(f38,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_64) ).
fof(f39,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_65) ).
fof(f40,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_66) ).
fof(f41,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_67) ).
fof(f42,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f43,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_89,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_92,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f43]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ~ has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_104,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,[],[f19]) ).
tcf(c_105,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,[],[f20]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0)
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( external_ties(X0,X1) = external_ties(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_117,negated_conjecture,
organization(sk2),
inference(cnf_transformation,[],[f35]) ).
tcf(c_118,negated_conjecture,
has_endowment(sk2),
inference(cnf_transformation,[],[f36]) ).
tcf(c_119,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_120,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[],[f38]) ).
tcf(c_121,negated_conjecture,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[],[f39]) ).
tcf(c_122,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_123,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4) ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0) ),
inference(global_subsumption_just,[status(thm)],[c_113,c_115,c_113]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( has_immunity(X0,X3)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X3))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X3))
| ( position(X0,X3) != X2 )
| ( position(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_92]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ greater(capability(X0,X2),capability(X0,X1))
| ( position(X0,X1) != position(X0,X2) ) ),
inference(unflattening,[status(thm)],[c_392]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_146,c_393]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(renaming,[status(thm)],[c_395]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ( X2 != eta )
| ( age(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_89]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ( age(X0,X1) != eta ) ),
inference(unflattening,[status(thm)],[c_897]) ).
tcf(c_1141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( smaller(capability(X0,X1),capability(X0,X3))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X3))
| ( stock_of_knowledge(X0,X3) != X2 )
| ( stock_of_knowledge(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_110,c_89]) ).
tcf(c_1142,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2) ) ),
inference(unflattening,[status(thm)],[c_1141]) ).
tcf(c_1144,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1142,c_114,c_1142]) ).
tcf(c_1145,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(renaming,[status(thm)],[c_1144]) ).
tcf(c_3367,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( smaller_or_equal(X0,X2)
| ~ smaller_or_equal(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3884,plain,
( has_immunity(sk2,sk4)
| ~ has_endowment(sk2)
| ~ smaller_or_equal(age(sk2,sk4),eta) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_3904,plain,
! [X0: $i] :
( greater(X0,eta)
| ~ greater(age(sk2,sk5),eta)
| ~ greater(X0,age(sk2,sk5)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_3909,plain,
( greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| ~ organization(sk2)
| ~ greater(age(sk2,sk6),age(sk2,sk5)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_3926,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk4)
| ~ greater(age(sk2,sk4),eta) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_3932,plain,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| ~ organization(sk2)
| ~ greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)) ),
inference(instantiation,[status(thm)],[c_1145]) ).
tcf(c_3939,plain,
( greater(age(sk2,sk6),eta)
| ~ greater(age(sk2,sk5),eta)
| ~ greater(age(sk2,sk6),age(sk2,sk5)) ),
inference(instantiation,[status(thm)],[c_3904]) ).
tcf(c_3971,plain,
( greater(capability(sk2,sk5),capability(sk2,sk6))
| ~ smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_3996,plain,
eta = eta,
inference(instantiation,[status(thm)],[c_3367]) ).
tcf(c_4206,plain,
( has_immunity(sk2,sk6)
| has_immunity(sk2,sk5)
| smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ organization(sk2)
| ~ greater(capability(sk2,sk5),capability(sk2,sk6)) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_4245,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5)
| ~ greater(age(sk2,sk5),eta) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_4253,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk6)
| ~ greater(age(sk2,sk6),eta) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_4261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( smaller_or_equal(age(X0,X1),eta)
| ~ smaller_or_equal(X2,X3)
| ( eta != X3 )
| ( age(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_3373]) ).
tcf(c_4271,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| ~ organization(sk2)
| ~ has_immunity(sk2,sk4) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4294,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller_or_equal(age(X0,X1),eta)
| ~ smaller_or_equal(X2,eta)
| ( eta != eta )
| ( age(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_4261]) ).
tcf(c_4384,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(age(X0,X1),eta)
| ~ smaller_or_equal(age(sk2,sk4),eta)
| ( eta != eta )
| ( age(X0,X1) != age(sk2,sk4) ) ),
inference(instantiation,[status(thm)],[c_4294]) ).
tcf(c_4560,plain,
( smaller(age(sk2,sk3),age(sk2,sk4))
| ( age(sk2,sk3) = age(sk2,sk4) ) ),
inference(superposition,[status(thm)],[c_119,c_87]) ).
tcf(c_4759,plain,
( greater(age(sk2,sk4),age(sk2,sk3))
| ( age(sk2,sk3) = age(sk2,sk4) ) ),
inference(superposition,[status(thm)],[c_4560,c_93]) ).
tcf(c_4842,plain,
( has_immunity(sk2,sk5)
| greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ organization(sk2)
| ~ has_immunity(sk2,sk4) ),
inference(instantiation,[status(thm)],[c_4271]) ).
tcf(c_4887,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4) ) ),
inference(global_subsumption_just,[status(thm)],[c_123,c_118,c_117,c_121,c_120,c_123,c_3884,c_4245,c_4842]) ).
tcf(c_5006,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller_or_equal(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_97,c_88]) ).
tcf(c_5272,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6018,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| greater(age(X0,X1),eta)
| ( age(X0,X1) = eta )
| ~ has_endowment(X0) ),
inference(superposition,[status(thm)],[c_5006,c_99]) ).
tcf(c_6504,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller_or_equal(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_97,c_88]) ).
tcf(c_6537,plain,
! [X0: $i] :
( greater(age(sk2,sk4),X0)
| ( age(sk2,sk3) = age(sk2,sk4) )
| ~ greater(age(sk2,sk3),X0) ),
inference(superposition,[status(thm)],[c_4759,c_96]) ).
tcf(c_6993,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| ~ smaller_or_equal(age(sk2,sk4),eta)
| ( eta != eta )
| ( age(sk2,sk3) != age(sk2,sk4) ) ),
inference(instantiation,[status(thm)],[c_4384]) ).
tcf(c_8221,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,sk4) )
| ~ organization(sk2)
| ~ has_immunity(sk2,sk4)
| ~ has_immunity(sk2,X0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_10229,plain,
( has_immunity(sk2,sk3)
| ~ has_endowment(sk2)
| ~ smaller_or_equal(age(sk2,sk3),eta) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_10577,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| greater(age(X0,X1),eta)
| ( age(X0,X1) = eta )
| ~ has_endowment(X0) ),
inference(superposition,[status(thm)],[c_6504,c_99]) ).
tcf(c_10676,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(global_subsumption_just,[status(thm)],[c_10577,c_898,c_6018]) ).
tcf(c_10691,plain,
( has_immunity(sk2,sk3)
| greater(age(sk2,sk4),eta)
| ( age(sk2,sk3) = age(sk2,sk4) )
| ~ has_endowment(sk2) ),
inference(superposition,[status(thm)],[c_10676,c_6537]) ).
tcf(c_11270,plain,
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4) )
| ~ organization(sk2)
| ~ has_immunity(sk2,sk4)
| ~ has_immunity(sk2,sk3) ),
inference(instantiation,[status(thm)],[c_8221]) ).
tcf(c_11271,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11270,c_10691,c_10229,c_6993,c_5272,c_4887,c_4253,c_4245,c_4206,c_3996,c_3971,c_3939,c_3932,c_3926,c_3909,c_3884,c_122,c_120,c_121,c_117,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 01:14:09 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 40.26/6.54 % SZS status Started for theBenchmark.p
% 40.26/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 40.26/6.54
% 40.26/6.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.26/6.54
% 40.26/6.54 % ------ iProver source info
% 40.26/6.54
% 40.26/6.54 % git: date: 2026-07-19 20:42:38 +0200
% 40.26/6.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.26/6.54 % git: non_committed_changes: false
% 40.26/6.54
% 40.26/6.54 % ------ Parsing...% successful
% 40.26/6.54
% 40.26/6.54
% 40.26/6.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.26/6.54
% 40.26/6.54 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 40.26/6.54
% 40.26/6.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 40.26/6.54
% 40.26/6.54 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 40.26/6.54 % ------ Proving...
% 40.26/6.54 % ------ Problem Properties
% 40.26/6.54
% 40.26/6.54 %
% 40.26/6.54 % clauses 34
% 40.26/6.54 % conjectures 7
% 40.26/6.54 % EPR 11
% 40.26/6.54 % Horn 25
% 40.26/6.54 % unary 7
% 40.26/6.54 % binary 8
% 40.26/6.54 % lits 93
% 40.26/6.54 % lits eq 12
% 40.26/6.54 % fd_pure 0
% 40.26/6.54 % fd_pseudo 0
% 40.26/6.54 % fd_cond 0
% 40.26/6.54 % fd_pseudo_cond 2
% 40.26/6.54 % AC symbols 0
% 40.26/6.54
% 40.26/6.54 % ------ Input Options Time Limit: Unbounded
% 40.26/6.54
% 40.26/6.54
% 40.26/6.54 % ------
% 40.26/6.54 % Current options:
% 40.26/6.54 % ------
% 40.26/6.54
% 40.26/6.54
% 40.26/6.54 %
% 40.26/6.54
% 40.26/6.54 % ------ Proving...
% 40.26/6.54 %
% 40.26/6.54
% 40.26/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 40.26/6.54
% 40.26/6.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.26/6.54
% 40.26/6.54
%------------------------------------------------------------------------------