%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT054+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 : n012.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 0.59s 0.96s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 17
% Syntax : Number of formulae : 158 ( 31 unt; 5 def)
% Number of atoms : 505 ( 80 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 543 ( 227 ~; 247 |; 50 &)
% ( 8 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 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 : 18 ( 16 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn 266 !; 8 ?; 139 :)
% 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(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(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,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,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(f9,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f10,axiom,
! [X0,X1] :
( ( age(X0,X1) = zero
& organization(X0) )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( ~ is_aligned(X0,X2)
& is_aligned(X0,X1)
& organization(X0) )
=> greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( age(X0,X1) = zero
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( greater(capability(X0,X2),capability(X0,X1))
& ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).
fof(f14,conjecture,
! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
=> ( X0 = X1
| smaller(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f17,plain,
! [X0,X1] :
( smaller(X0,X1)
=> greater(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f19,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,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,[],[f8]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( greater(sigma,zero)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& organization(X0)
& ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f38,plain,
? [X0,X1,X2,X3] :
( greater(sigma,zero)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& organization(X0)
& ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( ( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) )
& ( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f42,plain,
( greater(sigma,zero)
& greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& zero = age(sK0,sK1)
& ~ has_endowment(sK0)
& organization(sK0)
& ~ 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)],[f38]) ).
fof(f43,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f49,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,[],[f27]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
! [X2,X0,X1] :
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f62,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f63,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f64,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
organization(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f66,plain,
~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_55,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,[],[f49]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_66,negated_conjecture,
~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
inference(cnf_transformation,[],[f66]) ).
tcf(c_67,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f65]) ).
tcf(c_68,negated_conjecture,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f64]) ).
tcf(c_69,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f63]) ).
tcf(c_70,negated_conjecture,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f62]) ).
tcf(c_71,negated_conjecture,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f61]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero )
| ~ dissimilar(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_58,c_63]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_84]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| ~ greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_55,c_65]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_70]) ).
tcf(c_327,plain,
( smaller(age(sK0,sK2),sigma)
| ( age(sK0,sK2) = sigma ) ),
inference(unflattening,[status(thm)],[c_326]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_68]) ).
tcf(c_337,plain,
! [X0: $i] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_336]) ).
tcf(c_339,plain,
! [X0: $i] : ~ has_immunity(sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_337,c_67,c_337]) ).
tcf(c_346,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_53,c_50]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(unflattening,[status(thm)],[c_346]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sK0,sK2) = sigma )
| ( X1 != sigma )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_327]) ).
tcf(c_359,plain,
( greater(sigma,age(sK0,sK2))
| ( age(sK0,sK2) = sigma ) ),
inference(unflattening,[status(thm)],[c_358]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X1),capability(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_67]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_467]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_468,c_339]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ organization(X0)
| ~ is_aligned(X2,X5)
| ~ is_aligned(X2,X3)
| ~ greater(age(X0,X4),sigma)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_59]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_585]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ( age(X0,X1) != zero )
| ~ greater(age(X0,X2),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_586,c_61,c_586]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_aligned(X2,X4)
| greater(age(X0,X5),sigma)
| ~ organization(X2)
| ~ is_aligned(X2,X3)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_85]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_604]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(global_subsumption_just,[status(thm)],[c_605,c_61,c_605]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_606,c_67]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_644]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_589,c_67]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sK0,X1)
| ~ greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_655]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(capability(X0,X1),capability(X0,X2))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_67]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(unflattening,[status(thm)],[c_667]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i] :
( ~ greater(capability(sK0,X0),capability(sK0,X1))
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_668,c_476]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(capability(X0,X1),capability(X0,X2))
| ~ is_aligned(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_67]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(capability(sK0,X0),capability(sK0,X1))
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_677]) ).
tcf(c_817,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_656]) ).
tcf(c_818,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_656]) ).
tcf(c_819,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).
tcf(c_820,plain,
! [X0: $i] :
( ~ iPr_def_12
| greater(age(sK0,X0),sigma)
| is_aligned(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_645]) ).
tcf(c_821,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).
tcf(c_822,definition,
iPr_def_13 = age(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_823,definition,
iPr_def_14 = age(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_824,definition,
iPr_def_15 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_825,definition,
iPr_def_16 = hazard_of_mortality(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_826,definition,
iPr_def_17 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_827,plain,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_819]) ).
tcf(c_829,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ is_aligned(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(demodulation,[status(thm)],[c_817]) ).
tcf(c_830,plain,
( iPr_def_12
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_821]) ).
tcf(c_831,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_818]) ).
tcf(c_832,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| greater(age(sK0,X0),sigma)
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_820]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(capability(sK0,X0),capability(sK0,X1))
| ~ is_aligned(sK0,X0) ),
inference(demodulation,[status(thm)],[c_678]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i] :
( greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ greater(capability(sK0,X0),capability(sK0,X1)) ),
inference(demodulation,[status(thm)],[c_670]) ).
tcf(c_836,plain,
( greater(sigma,iPr_def_13)
| ( iPr_def_13 = sigma ) ),
inference(demodulation,[status(thm)],[c_359,c_822]) ).
tcf(c_838,negated_conjecture,
greater(iPr_def_14,sigma),
inference(demodulation,[status(thm)],[c_71,c_823]) ).
tcf(c_839,negated_conjecture,
iPr_def_15 = zero,
inference(demodulation,[status(thm)],[c_69,c_824]) ).
tcf(c_840,negated_conjecture,
~ greater(iPr_def_16,iPr_def_17),
inference(demodulation,[status(thm)],[c_66,c_826,c_825]) ).
tcf(c_1094,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_831,c_839]) ).
tcf(c_1107,plain,
( is_aligned(sK0,sK2)
| greater(iPr_def_13,sigma)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_822,c_832]) ).
tcf(c_1119,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_824,c_1094]) ).
tcf(c_1123,plain,
iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_830,c_1119]) ).
tcf(c_1124,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_827,c_1119]) ).
tcf(c_1128,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| greater(age(sK0,X0),sigma) ),
inference(backward_subsumption_resolution,[status(thm)],[c_832,c_1123]) ).
tcf(c_1160,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_829,c_829,c_1124]) ).
tcf(c_1161,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(renaming,[status(thm)],[c_1160]) ).
tcf(c_1169,plain,
( ~ is_aligned(sK0,sK3)
| ~ greater(iPr_def_14,sigma) ),
inference(superposition,[status(thm)],[c_823,c_1161]) ).
tcf(c_1170,plain,
~ is_aligned(sK0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_1169,c_838]) ).
tcf(c_1200,plain,
( ( sigma = iPr_def_13 )
| ~ greater(iPr_def_13,sigma) ),
inference(superposition,[status(thm)],[c_836,c_51]) ).
tcf(c_1255,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(hazard_of_mortality(sK0,X1),hazard_of_mortality(sK0,X0))
| ~ is_aligned(sK0,X0) ),
inference(superposition,[status(thm)],[c_834,c_835]) ).
tcf(c_1263,plain,
( is_aligned(sK0,sK2)
| greater(iPr_def_13,sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1107,c_1107,c_1123]) ).
tcf(c_1277,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ greater(sigma,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_1128,c_51]) ).
tcf(c_1377,plain,
( greater(sigma,iPr_def_13)
| ( sigma = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_1200]) ).
tcf(c_1403,plain,
( is_aligned(sK0,sK2)
| ~ greater(sigma,iPr_def_13) ),
inference(superposition,[status(thm)],[c_822,c_1277]) ).
tcf(c_1420,plain,
( is_aligned(sK0,sK2)
| ( sigma = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1377,c_1403]) ).
tcf(c_1585,plain,
! [X0: $i] :
( is_aligned(sK0,sK3)
| greater(iPr_def_16,hazard_of_mortality(sK0,X0))
| ~ is_aligned(sK0,X0) ),
inference(superposition,[status(thm)],[c_825,c_1255]) ).
tcf(c_1597,plain,
! [X0: $i] :
( greater(iPr_def_16,hazard_of_mortality(sK0,X0))
| ~ is_aligned(sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1585,c_1170]) ).
tcf(c_1631,plain,
( greater(iPr_def_16,iPr_def_17)
| ~ is_aligned(sK0,sK2) ),
inference(superposition,[status(thm)],[c_826,c_1597]) ).
tcf(c_1635,plain,
~ is_aligned(sK0,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_1631,c_840]) ).
tcf(c_1644,plain,
sigma = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_1420,c_1635]) ).
tcf(c_1646,plain,
greater(iPr_def_13,sigma),
inference(backward_subsumption_resolution,[status(thm)],[c_1263,c_1635]) ).
tcf(c_1692,plain,
greater(iPr_def_13,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_1646,c_1644]) ).
tcf(c_1694,plain,
~ greater(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_1692,c_51]) ).
tcf(c_1695,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1694,c_1692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT054+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 01:13:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 0.59/0.96 % SZS status Started for theBenchmark.p
% 0.59/0.96 % SZS status Theorem for theBenchmark.p
% 0.59/0.96
% 0.59/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.59/0.96
% 0.59/0.96 % ------ iProver source info
% 0.59/0.96
% 0.59/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.59/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.59/0.96 % git: non_committed_changes: false
% 0.59/0.96
% 0.59/0.96 % ------ Parsing...
% 0.59/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.59/0.96
% 0.59/0.96 % ------ 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 %
% 0.59/0.96
% 0.59/0.96 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.59/0.96
% 0.59/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.59/0.96 % ------ Proving...
% 0.59/0.96 % ------ Problem Properties
% 0.59/0.96
% 0.59/0.96 %
% 0.59/0.96 % clauses 21
% 0.59/0.96 % conjectures 4
% 0.59/0.96 % EPR 10
% 0.59/0.96 % Horn 15
% 0.59/0.96 % unary 9
% 0.59/0.96 % binary 7
% 0.59/0.96 % lits 38
% 0.59/0.96 % lits eq 10
% 0.59/0.96 % fd_pure 0
% 0.59/0.96 % fd_pseudo 0
% 0.59/0.96 % fd_cond 0
% 0.59/0.96 % fd_pseudo_cond 1
% 0.59/0.96 % AC symbols 0
% 0.59/0.96
% 0.59/0.96 % ------ Schedule dynamic 5 is on
% 0.59/0.96
% 0.59/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 % ------
% 0.59/0.96 % Current options:
% 0.59/0.96 % ------
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 %
% 0.59/0.96
% 0.59/0.96 % ------ Proving...
% 0.59/0.96 %
% 0.59/0.96
% 0.59/0.96 % SZS status Theorem for theBenchmark.p
% 0.59/0.96
% 0.59/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.59/0.96
% 0.59/0.96
%------------------------------------------------------------------------------