%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT055-1 : 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 : n003.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 : Unsatisfiable 3.16s 1.19s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 162 ( 35 unt; 0 def)
% Number of atoms : 418 ( 94 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 491 ( 235 ~; 256 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 222 ( 0 sgn 222 !; 0 ?; 173 :)
% 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(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
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_39) ).
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_40) ).
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_45) ).
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_46) ).
fof(f21,axiom,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_47) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
fof(f25,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_51) ).
fof(f28,axiom,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
fof(f29,axiom,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14_55) ).
fof(f30,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_56) ).
fof(f31,axiom,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_57) ).
fof(f32,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ 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_16_58) ).
fof(f33,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_59) ).
fof(f34,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_60) ).
fof(f35,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_61) ).
fof(f36,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_62) ).
fof(f38,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_63) ).
fof(f39,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_64) ).
fof(f40,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_65) ).
fof(f41,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_66) ).
fof(f42,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_67) ).
fof(f43,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',lemma_8_68) ).
fof(f44,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_93,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f44]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_103,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_104,plain,
! [X0: $i,X1: $i] :
( ~ has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_108,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_109,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_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_116,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,[],[f29]) ).
tcf(c_117,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,[],[f30]) ).
tcf(c_118,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,[],[f31]) ).
tcf(c_119,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,[],[f32]) ).
tcf(c_120,negated_conjecture,
organization(sk2),
inference(cnf_transformation,[],[f33]) ).
tcf(c_121,negated_conjecture,
has_endowment(sk2),
inference(cnf_transformation,[],[f34]) ).
tcf(c_122,negated_conjecture,
age(sk2,sk3) = zero,
inference(cnf_transformation,[],[f36]) ).
tcf(c_123,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[],[f37]) ).
tcf(c_124,negated_conjecture,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[],[f38]) ).
tcf(c_125,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
inference(cnf_transformation,[],[f39]) ).
tcf(c_126,negated_conjecture,
greater(age(sk2,sk6),sigma),
inference(cnf_transformation,[],[f40]) ).
tcf(c_127,negated_conjecture,
greater(sigma,eta),
inference(cnf_transformation,[],[f41]) ).
tcf(c_128,negated_conjecture,
greater(eta,zero),
inference(cnf_transformation,[],[f42]) ).
tcf(c_129,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,[],[f43]) ).
tcf(c_147,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_118,c_110,c_118]) ).
tcf(c_148,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_147]) ).
tcf(c_150,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_119,c_109,c_119]) ).
tcf(c_151,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_150]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_121]) ).
tcf(c_706,plain,
! [X0: $i] :
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_705]) ).
tcf(c_761,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_117,c_112]) ).
tcf(c_762,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_761]) ).
tcf(c_764,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_762,c_115,c_762]) ).
tcf(c_765,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_764]) ).
tcf(c_784,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_113,c_148]) ).
tcf(c_785,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_784]) ).
tcf(c_786,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_785,c_115,c_785]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_786,c_120]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk2,X1)
| greater(age(sk2,X1),sigma)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_930]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_765,c_120]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sk2,X1)
| ~ greater(age(sk2,X1),sigma)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_942]) ).
tcf(c_954,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 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_151,c_120]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0))
| ~ greater(capability(sk2,X0),capability(sk2,X1)) ),
inference(unflattening,[status(thm)],[c_954]) ).
tcf(c_966,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(capability(X0,X1),capability(X0,X2))
| ~ is_aligned(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_116,c_120]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk2,X1)
| greater(capability(sk2,X0),capability(sk2,X1))
| ~ is_aligned(sk2,X0) ),
inference(unflattening,[status(thm)],[c_966]) ).
tcf(c_986,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 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_109,c_120]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0))
| ~ has_immunity(sk2,X0) ),
inference(unflattening,[status(thm)],[c_986]) ).
tcf(c_997,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 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_108,c_120]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1) )
| ~ has_immunity(sk2,X1)
| ~ has_immunity(sk2,X0) ),
inference(unflattening,[status(thm)],[c_997]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_121]) ).
tcf(c_1171,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_1170]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != eta )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_123,c_91]) ).
tcf(c_1185,plain,
( smaller(age(sk2,sk4),eta)
| ( age(sk2,sk4) = eta ) ),
inference(unflattening,[status(thm)],[c_1184]) ).
tcf(c_1192,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( eta != eta )
| ( age(sk2,X0) != age(sk2,sk4) ) ),
inference(resolution_lifted,[status(thm)],[c_123,c_1171]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sk2,sk5) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_125,c_91]) ).
tcf(c_1204,plain,
( smaller(age(sk2,sk5),sigma)
| ( age(sk2,sk5) = sigma ) ),
inference(unflattening,[status(thm)],[c_1203]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sk2,X0)
| ~ smaller(X1,X2)
| ( X2 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_1171]) ).
tcf(c_1225,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ~ smaller(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_1224]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk2,X0)
| ( X1 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_1171]) ).
tcf(c_1234,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( age(sk2,X0) != eta ) ),
inference(unflattening,[status(thm)],[c_1233]) ).
tcf(c_1269,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sk2,sk4) = eta )
| ( X1 != eta )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_1185]) ).
tcf(c_1270,plain,
( greater(eta,age(sk2,sk4))
| ( age(sk2,sk4) = eta ) ),
inference(unflattening,[status(thm)],[c_1269]) ).
tcf(c_1277,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sk2,sk5) = sigma )
| ( X1 != sigma )
| ( age(sk2,sk5) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_97,c_1204]) ).
tcf(c_1278,plain,
( greater(sigma,age(sk2,sk5))
| ( age(sk2,sk5) = sigma ) ),
inference(unflattening,[status(thm)],[c_1277]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sk2,X0)
| greater(X1,X2)
| ( X1 = X2 )
| ( X2 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_1225]) ).
tcf(c_1286,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(age(sk2,X0),eta)
| ( age(sk2,X0) = eta ) ),
inference(unflattening,[status(thm)],[c_1285]) ).
tcf(c_1323,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( age(sk2,X0) != age(sk2,sk4) ) ),
inference(equality_resolution_simp,[status(thm)],[c_1192]) ).
tcf(c_1325,plain,
! [X0: $i] :
( ~ greater(age(sk2,X0),eta)
| ~ has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_706]) ).
tcf(c_1326,plain,
! [X0: $i] :
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(renaming,[status(thm)],[c_1325]) ).
tcf(c_1327,plain,
! [X0: $i] :
( greater(age(sk2,X0),eta)
| has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_1234,c_1286]) ).
tcf(c_1328,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(age(sk2,X0),eta) ),
inference(renaming,[status(thm)],[c_1327]) ).
tcf(c_1333,plain,
( greater(eta,age(sk2,sk4))
| ( age(sk2,sk4) = eta ) ),
inference(prop_impl_just,[status(thm)],[c_1270]) ).
tcf(c_1335,plain,
( greater(sigma,age(sk2,sk5))
| ( age(sk2,sk5) = sigma ) ),
inference(prop_impl_just,[status(thm)],[c_1278]) ).
tcf(c_1337,plain,
! [X0: $i] :
( ( age(sk2,X0) != age(sk2,sk4) )
| has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_1323]) ).
tcf(c_1338,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( age(sk2,X0) != age(sk2,sk4) ) ),
inference(renaming,[status(thm)],[c_1337]) ).
tcf(c_1515,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ greater(age(sk2,X0),sigma)
| ~ is_aligned(sk2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_943]) ).
tcf(c_1516,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk2,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_943]) ).
tcf(c_1517,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_943]) ).
tcf(c_1518,plain,
! [X0: $i] :
( ~ iPr_def_12
| greater(age(sk2,X0),sigma)
| is_aligned(sk2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_931]) ).
tcf(c_1519,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_931]) ).
tcf(c_1520,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2094,plain,
~ greater(zero,eta),
inference(resolution,[status(thm)],[c_99,c_128]) ).
tcf(c_2106,plain,
~ has_immunity(sk2,sk5),
inference(resolution,[status(thm)],[c_1326,c_124]) ).
tcf(c_2138,plain,
~ iPr_def_11,
inference(resolution,[status(thm)],[c_1516,c_122]) ).
tcf(c_2140,plain,
iPr_def_10,
inference(resolution,[status(thm)],[c_2138,c_1517]) ).
tcf(c_2152,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,eta)
| ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),X1) ),
inference(resolution,[status(thm)],[c_100,c_1326]) ).
tcf(c_2165,plain,
age(sk2,sk4) = age(sk2,sk4),
inference(instantiation,[status(thm)],[c_1520]) ).
tcf(c_2166,plain,
( has_immunity(sk2,sk4)
| ( age(sk2,sk4) != age(sk2,sk4) ) ),
inference(instantiation,[status(thm)],[c_1338]) ).
tcf(c_2390,plain,
( ~ has_immunity(sk2,sk4)
| ~ has_immunity(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(resolution,[status(thm)],[c_998,c_129]) ).
tcf(c_2414,plain,
! [X0: $i] :
( ~ is_aligned(sk2,X0)
| ~ greater(age(sk2,X0),sigma) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1515,c_2140]) ).
tcf(c_2421,plain,
! [X0: $i,X1: $i] :
( greater(capability(sk2,X1),capability(sk2,X0))
| ~ is_aligned(sk2,X1)
| ~ greater(age(sk2,X0),sigma) ),
inference(resolution,[status(thm)],[c_2414,c_967]) ).
tcf(c_2558,plain,
( greater(zero,eta)
| has_immunity(sk2,sk3) ),
inference(superposition,[status(thm)],[c_122,c_1328]) ).
tcf(c_2593,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| greater(age(sk2,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1518,c_1518,c_1519,c_2138]) ).
tcf(c_2597,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ~ greater(sigma,age(sk2,X0)) ),
inference(superposition,[status(thm)],[c_2593,c_99]) ).
tcf(c_2612,plain,
( ~ has_immunity(sk2,sk4)
| ~ greater(age(sk2,sk4),eta) ),
inference(instantiation,[status(thm)],[c_1326]) ).
tcf(c_2613,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| ~ has_immunity(sk2,sk4) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_2615,plain,
( is_aligned(sk2,sk5)
| ( age(sk2,sk5) = sigma ) ),
inference(superposition,[status(thm)],[c_1335,c_2597]) ).
tcf(c_2795,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( sk3 != sk4 )
| ( sk2 != sk2 ) ),
inference(resolution,[status(thm)],[c_1526,c_129]) ).
tcf(c_2796,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( sk3 != sk4 ) ),
inference(equality_resolution_simp,[status(thm)],[c_2795]) ).
tcf(c_2797,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_2796,c_2094,c_2165,c_2166,c_2390,c_2558]) ).
tcf(c_2810,plain,
( ~ greater(sigma,eta)
| ~ has_immunity(sk2,sk6) ),
inference(resolution,[status(thm)],[c_2152,c_126]) ).
tcf(c_2811,plain,
~ has_immunity(sk2,sk6),
inference(global_subsumption_just,[status(thm)],[c_2810,c_127,c_2810]) ).
tcf(c_2831,plain,
! [X0: $i] :
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,X0))
| ~ greater(capability(sk2,X0),capability(sk2,sk6)) ),
inference(resolution,[status(thm)],[c_2811,c_955]) ).
tcf(c_2957,plain,
( ~ greater(capability(sk2,sk5),capability(sk2,sk6))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(resolution,[status(thm)],[c_2831,c_2797]) ).
tcf(c_3157,plain,
! [X0: $i] :
( ~ greater(sigma,X0)
| ~ greater(X0,sigma) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_4854,plain,
( ~ is_aligned(sk2,sk5)
| ~ greater(age(sk2,sk6),sigma)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(resolution,[status(thm)],[c_2421,c_2957]) ).
tcf(c_5625,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_129,c_2094,c_2165,c_2166,c_2390,c_2558]) ).
tcf(c_5641,plain,
( ( age(sk2,sk4) = eta )
| ~ greater(age(sk2,sk4),eta) ),
inference(superposition,[status(thm)],[c_1333,c_99]) ).
tcf(c_5654,plain,
( greater(zero,eta)
| has_immunity(sk2,sk3) ),
inference(superposition,[status(thm)],[c_122,c_1328]) ).
tcf(c_5661,plain,
has_immunity(sk2,sk3),
inference(global_subsumption_just,[status(thm)],[c_5654,c_2094,c_2558]) ).
tcf(c_5663,plain,
~ greater(age(sk2,sk4),eta),
inference(global_subsumption_just,[status(thm)],[c_5641,c_2165,c_2166,c_2612]) ).
tcf(c_5665,plain,
has_immunity(sk2,sk4),
inference(superposition,[status(thm)],[c_1328,c_5663]) ).
tcf(c_5685,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,sk4) )
| ~ has_immunity(sk2,X0) ),
inference(superposition,[status(thm)],[c_5665,c_998]) ).
tcf(c_5701,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk2,X1)
| has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X0))
| ~ is_aligned(sk2,X0) ),
inference(superposition,[status(thm)],[c_967,c_955]) ).
tcf(c_5718,plain,
hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4),
inference(superposition,[status(thm)],[c_5661,c_5685]) ).
tcf(c_5721,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4))
| ~ has_immunity(sk2,sk3) ),
inference(superposition,[status(thm)],[c_5718,c_987]) ).
tcf(c_5915,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(hazard_of_mortality(sk2,X0),hazard_of_mortality(sk2,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_5721,c_2165,c_2166,c_2613]) ).
tcf(c_6014,plain,
( is_aligned(sk2,sk6)
| has_immunity(sk2,sk6)
| ~ is_aligned(sk2,sk5)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(superposition,[status(thm)],[c_5701,c_5625]) ).
tcf(c_6021,plain,
( ~ is_aligned(sk2,sk5)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_6014,c_126,c_4854]) ).
tcf(c_6027,plain,
( has_immunity(sk2,sk5)
| ~ is_aligned(sk2,sk5) ),
inference(superposition,[status(thm)],[c_5915,c_6021]) ).
tcf(c_8089,plain,
~ greater(sigma,sigma),
inference(instantiation,[status(thm)],[c_3157]) ).
tcf(c_11713,plain,
age(sk2,sk5) = sigma,
inference(global_subsumption_just,[status(thm)],[c_1335,c_2106,c_2615,c_6027]) ).
tcf(c_11734,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| greater(age(sk2,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1518,c_1518,c_1519,c_2138]) ).
tcf(c_11737,plain,
( is_aligned(sk2,sk5)
| greater(sigma,sigma) ),
inference(superposition,[status(thm)],[c_11713,c_11734]) ).
tcf(c_11740,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11737,c_8089,c_6027,c_2106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:16:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.16/1.19 % SZS status Started for theBenchmark.p
% 3.16/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.19
% 3.16/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.19
% 3.16/1.19 % ------ iProver source info
% 3.16/1.19
% 3.16/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.19 % git: non_committed_changes: false
% 3.16/1.19
% 3.16/1.19 % ------ Parsing...% successful
% 3.16/1.19
% 3.16/1.19
% 3.16/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.16/1.19
% 3.16/1.19 % ------ 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 %
% 3.16/1.19
% 3.16/1.19 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.16/1.19
% 3.16/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.19 % ------ Proving...
% 3.16/1.19 % ------ Problem Properties
% 3.16/1.19
% 3.16/1.19 %
% 3.16/1.19 % clauses 27
% 3.16/1.19 % conjectures 6
% 3.16/1.19 % EPR 7
% 3.16/1.19 % Horn 17
% 3.16/1.19 % unary 5
% 3.16/1.19 % binary 12
% 3.16/1.19 % lits 59
% 3.16/1.19 % lits eq 12
% 3.16/1.19 % fd_pure 0
% 3.16/1.19 % fd_pseudo 0
% 3.16/1.19 % fd_cond 0
% 3.16/1.19 % fd_pseudo_cond 1
% 3.16/1.19 % AC symbols 0
% 3.16/1.19
% 3.16/1.19 % ------ Input Options Time Limit: Unbounded
% 3.16/1.19
% 3.16/1.19
% 3.16/1.19 % ------
% 3.16/1.19 % Current options:
% 3.16/1.19 % ------
% 3.16/1.19
% 3.16/1.19
% 3.16/1.19 %
% 3.16/1.19
% 3.16/1.19 % ------ Proving...
% 3.16/1.19 %
% 3.16/1.19
% 3.16/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.19
% 3.16/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.19
% 3.16/1.19
%------------------------------------------------------------------------------