%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT050+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 : n007.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 : Theorem 0.73s 1.09s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 22 unt; 4 def)
% Number of atoms : 339 ( 57 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 361 ( 148 ~; 151 |; 40 &)
% ( 3 <=>; 19 =>; 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 : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn 190 !; 6 ?; 89 :)
% 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(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f7,axiom,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( position(X0,X2) = position(X0,X1)
& capability(X0,X2) = capability(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ( greater(position(X0,X2),position(X0,X1))
& greater_or_equal(capability(X0,X2),capability(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)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f10,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f11,axiom,
! [X0,X1,X2] :
( organization(X0)
=> stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
fof(f12,axiom,
! [X0,X1,X2] :
( organization(X0)
=> external_ties(X0,X2) = external_ties(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| greater(X0,X1) )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( ( X0 != X1
& ~ smaller(X0,X1) )
| smaller_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ( ( position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(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))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ( ( position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(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))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) )
& ( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0)
& ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0)
& ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f37,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
& ~ has_endowment(sK0)
& organization(sK0)
& ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X2,X0,X1] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
organization(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f38]) ).
fof(f64,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f40]) ).
tcf(c_50,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f63]) ).
tcf(c_52,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f64]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_59,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))
| ~ greater_or_equal(position(X0,X1),position(X0,X2)) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_63,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,[],[f52]) ).
tcf(c_66,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,[],[f54]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( external_ties(X0,X1) = external_ties(X0,X2) )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_69,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,[],[f58]) ).
tcf(c_70,negated_conjecture,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f62]) ).
tcf(c_71,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f61]) ).
tcf(c_72,negated_conjecture,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f60]) ).
tcf(c_73,negated_conjecture,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f59]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_68,c_66]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_72]) ).
tcf(c_359,plain,
! [X0: $i] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_358]) ).
tcf(c_361,plain,
! [X0: $i] : ~ has_immunity(sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_359,c_71,c_359]) ).
tcf(c_413,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_50,c_63]) ).
tcf(c_414,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_413]) ).
tcf(c_416,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_414,c_67,c_414]) ).
tcf(c_417,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_416]) ).
tcf(c_498,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_52,c_59]) ).
tcf(c_499,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_498]) ).
tcf(c_501,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_499,c_92,c_499]) ).
tcf(c_502,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_501]) ).
tcf(c_569,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))
| ~ greater(capability(X0,X1),capability(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_502,c_71]) ).
tcf(c_570,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| has_immunity(sK0,X0)
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_569]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| ~ greater(capability(sK0,X0),capability(sK0,X1))
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_570,c_71,c_359,c_570]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(renaming,[status(thm)],[c_572]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] :
( smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_573,c_361]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_417,c_71]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i] :
( smaller(capability(sK0,X0),capability(sK0,X1))
| ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_584]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_71]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i] :
( greater(internal_friction(sK0,X0),internal_friction(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_623]) ).
tcf(c_1118,definition,
iPr_def_10 = age(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1119,definition,
iPr_def_11 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1120,definition,
iPr_def_12 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1121,definition,
iPr_def_13 = hazard_of_mortality(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i] :
( greater(internal_friction(sK0,X0),internal_friction(sK0,X1))
| ~ greater(age(sK0,X0),age(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_624]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i] :
( smaller(capability(sK0,X0),capability(sK0,X1))
| ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_585]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i] :
( smaller(hazard_of_mortality(sK0,X0),hazard_of_mortality(sK0,X1))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_580]) ).
tcf(c_1133,negated_conjecture,
greater(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_73,c_1119,c_1118]) ).
tcf(c_1134,negated_conjecture,
~ greater(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_70,c_1121,c_1120]) ).
tcf(c_1512,plain,
! [X0: $i] :
( greater(internal_friction(sK0,X0),internal_friction(sK0,sK1))
| ~ greater(age(sK0,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_1119,c_1126]) ).
tcf(c_1574,plain,
! [X0: $i] :
( smaller(capability(sK0,X0),capability(sK0,sK1))
| ~ greater(age(sK0,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_1512,c_1130]) ).
tcf(c_1969,plain,
! [X0: $i] :
( greater(capability(sK0,sK1),capability(sK0,X0))
| ~ greater(age(sK0,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_1574,c_54]) ).
tcf(c_2473,plain,
! [X0: $i] :
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,X0))
| ~ greater(age(sK0,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_1969,c_1131]) ).
tcf(c_2474,plain,
! [X0: $i] :
( smaller(iPr_def_13,hazard_of_mortality(sK0,X0))
| ~ greater(age(sK0,X0),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_2473,c_1121]) ).
tcf(c_2860,plain,
( smaller(iPr_def_13,hazard_of_mortality(sK0,sK2))
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_1118,c_2474]) ).
tcf(c_2865,plain,
( smaller(iPr_def_13,iPr_def_12)
| ~ greater(iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_2860,c_1120]) ).
tcf(c_2866,plain,
smaller(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_2865,c_1133]) ).
tcf(c_2875,plain,
greater(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_2866,c_54]) ).
tcf(c_2877,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2875,c_1134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 01:10:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.73/1.09 % SZS status Started for theBenchmark.p
% 0.73/1.09 % SZS status Theorem for theBenchmark.p
% 0.73/1.09
% 0.73/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.73/1.09
% 0.73/1.09 % ------ iProver source info
% 0.73/1.09
% 0.73/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 0.73/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.73/1.09 % git: non_committed_changes: false
% 0.73/1.09
% 0.73/1.09 % ------ Parsing...
% 0.73/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.73/1.09
% 0.73/1.09 % ------ 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 %
% 0.73/1.09
% 0.73/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.73/1.09
% 0.73/1.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.73/1.09 % ------ Proving...
% 0.73/1.09 % ------ Problem Properties
% 0.73/1.09
% 0.73/1.09 %
% 0.73/1.09 % clauses 24
% 0.73/1.09 % conjectures 2
% 0.73/1.09 % EPR 9
% 0.73/1.09 % Horn 23
% 0.73/1.09 % unary 10
% 0.73/1.09 % binary 10
% 0.73/1.09 % lits 42
% 0.73/1.09 % lits eq 13
% 0.73/1.09 % fd_pure 0
% 0.73/1.09 % fd_pseudo 0
% 0.73/1.09 % fd_cond 0
% 0.73/1.09 % fd_pseudo_cond 1
% 0.73/1.09 % AC symbols 0
% 0.73/1.09
% 0.73/1.09 % ------ Schedule dynamic 5 is on
% 0.73/1.09
% 0.73/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % ------
% 0.73/1.09 % Current options:
% 0.73/1.09 % ------
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 %
% 0.73/1.09
% 0.73/1.09 % ------ Proving...
% 0.73/1.09 %
% 0.73/1.09
% 0.73/1.09 % SZS status Theorem for theBenchmark.p
% 0.73/1.09
% 0.73/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.09
%------------------------------------------------------------------------------