%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT051-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 08:02:59 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of formulae : 108 ( 37 unt; 0 def)
% Number of atoms : 242 ( 40 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 247 ( 113 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 148 ( 16 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal_2,axiom,
! [VAR_0,VAR_1] :
( smaller_or_equal(VAR_0,VAR_1)
| ~ smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_or_equal_2) ).
cnf(c_1,plain,
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_2]) ).
fof(definition_smaller_or_equal_1,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = VAR_1
| smaller(VAR_0,VAR_1)
| ~ smaller_or_equal(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_or_equal_1) ).
cnf(c_2,plain,
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_1]) ).
fof(definition_smaller_7,axiom,
! [VAR_0,VAR_1] :
( greater(VAR_1,VAR_0)
| ~ smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_7) ).
cnf(c_3,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_7]) ).
fof(definition_smaller_8,axiom,
! [VAR_0,VAR_1] :
( smaller(VAR_1,VAR_0)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_smaller_8) ).
cnf(c_4,plain,
( smaller(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_8]) ).
fof(meaning_postulate_greater_comparable_11,axiom,
! [VAR_0,VAR_1] :
( greater(VAR_0,VAR_1)
| VAR_0 = VAR_1
| smaller(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_comparable_11) ).
cnf(c_5,plain,
( greater(A,B)
| A = B
| smaller(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_comparable_11]) ).
fof(assumption_4_50,axiom,
! [VAR_0,VAR_1,VAR_2] :
( smaller(hazard_of_mortality(VAR_0,VAR_2),hazard_of_mortality(VAR_0,VAR_1))
| ~ greater_or_equal(position(VAR_0,VAR_2),position(VAR_0,VAR_1))
| ~ greater(capability(VAR_0,VAR_2),capability(VAR_0,VAR_1))
| has_immunity(VAR_0,VAR_2)
| has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_4_50) ).
cnf(c_6,plain,
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_4_50]) ).
fof(assumption_5_54,axiom,
! [VAR_0,VAR_1,VAR_2] :
( smaller(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| ~ greater(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ smaller_or_equal(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_54) ).
cnf(c_8,plain,
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5_54]) ).
fof(definition_1_43,axiom,
! [VAR_0,VAR_1] :
( ~ has_immunity(VAR_0,VAR_1)
| ~ greater(age(VAR_0,VAR_1),eta)
| ~ has_endowment(VAR_0) ),
file('theBenchmark.p',definition_1_43) ).
cnf(c_9,plain,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1_43]) ).
fof(theorem_4_62,axiom,
has_endowment(sk2),
file('theBenchmark.p',theorem_4_62) ).
cnf(c_14,plain,
has_endowment(sk2),
inference(clausify,[status(thm)],[theorem_4_62]) ).
fof(definition_1_42,axiom,
! [VAR_0,VAR_1] :
( has_immunity(VAR_0,VAR_1)
| ~ smaller_or_equal(age(VAR_0,VAR_1),eta)
| ~ has_endowment(VAR_0) ),
file('theBenchmark.p',definition_1_42) ).
cnf(c_15,plain,
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1_42]) ).
fof(definition_1_41,axiom,
! [VAR_0] :
( organization(VAR_0)
| ~ has_endowment(VAR_0) ),
file('theBenchmark.p',definition_1_41) ).
cnf(c_16,plain,
( organization(A)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1_41]) ).
cnf(c_18,plain,
organization(sk2),
inference(resolve,[status(thm)],[c_16,c_14]) ).
fof(assumption_2_48,axiom,
! [VAR_0,VAR_1,VAR_2] :
( hazard_of_mortality(VAR_0,VAR_1) = hazard_of_mortality(VAR_0,VAR_2)
| ~ has_immunity(VAR_0,VAR_2)
| ~ has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_2_48) ).
cnf(c_24,plain,
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_2_48]) ).
fof(assumption_3_49,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(hazard_of_mortality(VAR_0,VAR_2),hazard_of_mortality(VAR_0,VAR_1))
| has_immunity(VAR_0,VAR_2)
| ~ has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_3_49) ).
cnf(c_25,plain,
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_3_49]) ).
fof(assumption_6_57,axiom,
! [VAR_0,VAR_1,VAR_2] :
( position(VAR_0,VAR_1) = position(VAR_0,VAR_2)
| external_ties(VAR_0,VAR_1) != external_ties(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_6_57) ).
cnf(c_30,plain,
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6_57]) ).
fof(assumption_10_58,axiom,
! [VAR_0,VAR_1,VAR_2] :
( stock_of_knowledge(VAR_0,VAR_1) = stock_of_knowledge(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_10_58) ).
cnf(c_31,plain,
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_10_58]) ).
fof(assumption_11_59,axiom,
! [VAR_0,VAR_1,VAR_2] :
( external_ties(VAR_0,VAR_1) = external_ties(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_11_59) ).
cnf(c_32,plain,
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_11_59]) ).
fof(assumption_12_60,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_12_60) ).
cnf(c_33,plain,
( greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_12_60]) ).
fof(theorem_4_61,axiom,
organization(sk2),
file('theBenchmark.p',theorem_4_61) ).
cnf(c_34,plain,
organization(sk2),
inference(clausify,[status(thm)],[theorem_4_61]) ).
cnf(c_35,plain,
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(resolve,[status(thm)],[c_6,c_3]) ).
cnf(c_39,plain,
( greater(capability(A,C),capability(A,B))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(resolve,[status(thm)],[c_8,c_3]) ).
cnf(c_42,plain,
( greater(capability(sk2,B),capability(sk2,A))
| ~ greater(internal_friction(sk2,A),internal_friction(sk2,B))
| ~ smaller_or_equal(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)) ),
inference(resolve,[status(thm)],[c_39,c_34]) ).
cnf(c_46,plain,
( greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,B))
| ~ greater_or_equal(position(sk2,B),position(sk2,A))
| ~ greater(capability(sk2,B),capability(sk2,A))
| has_immunity(sk2,B)
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_35,c_34]) ).
cnf(c_47,plain,
( greater(internal_friction(sk2,A),internal_friction(sk2,B))
| ~ greater(age(sk2,A),age(sk2,B)) ),
inference(resolve,[status(thm)],[c_33,c_18]) ).
cnf(c_48,plain,
external_ties(sk2,A) = external_ties(sk2,B),
inference(resolve,[status(thm)],[c_32,c_18]) ).
cnf(c_49,plain,
stock_of_knowledge(sk2,A) = stock_of_knowledge(sk2,B),
inference(resolve,[status(thm)],[c_31,c_18]) ).
cnf(c_50,plain,
( position(sk2,A) = position(sk2,B)
| external_ties(sk2,A) != external_ties(sk2,B) ),
inference(resolve,[status(thm)],[c_30,c_18]) ).
cnf(c_51,plain,
position(sk2,A) = position(sk2,B),
inference(resolve,[status(thm)],[c_48,c_50]) ).
cnf(c_58,plain,
( greater(hazard_of_mortality(sk2,B),hazard_of_mortality(sk2,A))
| has_immunity(sk2,B)
| ~ has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_25,c_18]) ).
cnf(c_59,plain,
( hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,B)
| ~ has_immunity(sk2,B)
| ~ has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_24,c_18]) ).
cnf(c_66,plain,
( smaller_or_equal(A,B)
| greater(A,B)
| A = B ),
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_67,plain,
( greater(B,A)
| greater(A,B)
| A = B ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_68,plain,
( smaller_or_equal(B,A)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_69,plain,
( B = A
| ~ smaller_or_equal(B,A)
| greater(A,B) ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
fof(theorem_4_67,axiom,
( 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('theBenchmark.p',theorem_4_67) ).
cnf(c_70,plain,
( 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)) ),
inference(clausify,[status(thm)],[theorem_4_67]) ).
cnf(c_71,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(copy,[status(thm)],[c_70]) ).
fof(theorem_4_66,axiom,
greater(age(sk2,sk6),age(sk2,sk5)),
file('theBenchmark.p',theorem_4_66) ).
cnf(c_72,plain,
greater(age(sk2,sk6),age(sk2,sk5)),
inference(clausify,[status(thm)],[theorem_4_66]) ).
fof(theorem_4_65,axiom,
greater(age(sk2,sk5),eta),
file('theBenchmark.p',theorem_4_65) ).
cnf(c_73,plain,
greater(age(sk2,sk5),eta),
inference(clausify,[status(thm)],[theorem_4_65]) ).
fof(theorem_4_64,axiom,
smaller_or_equal(age(sk2,sk4),eta),
file('theBenchmark.p',theorem_4_64) ).
cnf(c_74,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(clausify,[status(thm)],[theorem_4_64]) ).
fof(theorem_4_63,axiom,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('theBenchmark.p',theorem_4_63) ).
cnf(c_75,plain,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
inference(clausify,[status(thm)],[theorem_4_63]) ).
fof(meaning_postulate_greater_transitive_10,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(VAR_0,VAR_2)
| ~ greater(VAR_1,VAR_2)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',meaning_postulate_greater_transitive_10) ).
cnf(c_76,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive_10]) ).
fof(definition_greater_or_equal_6,axiom,
! [VAR_0,VAR_1] :
( greater_or_equal(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',definition_greater_or_equal_6) ).
cnf(c_78,plain,
( greater_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_greater_or_equal_6]) ).
fof(definition_smaller_or_equal_3,axiom,
! [VAR_0,VAR_1] :
( smaller_or_equal(VAR_0,VAR_1)
| VAR_0 != VAR_1 ),
file('theBenchmark.p',definition_smaller_or_equal_3) ).
cnf(c_81,plain,
( smaller_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_3]) ).
cnf(c_82,plain,
( ~ has_immunity(sk2,A)
| ~ greater(age(sk2,A),eta) ),
inference(resolve,[status(thm)],[c_9,c_14]) ).
cnf(c_83,plain,
( has_immunity(sk2,A)
| ~ smaller_or_equal(age(sk2,A),eta) ),
inference(resolve,[status(thm)],[c_15,c_14]) ).
cnf(c_92,plain,
( greater(capability(sk2,C),capability(sk2,A))
| ~ greater(internal_friction(sk2,A),internal_friction(sk2,C))
| ~ smaller_or_equal(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)) ),
inference(paramod,[status(thm)],[c_49,c_42]) ).
cnf(c_100,plain,
( greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,B))
| ~ greater_or_equal(position(sk2,B),position(sk2,C))
| ~ greater(capability(sk2,B),capability(sk2,A))
| has_immunity(sk2,B)
| has_immunity(sk2,A) ),
inference(paramod,[status(thm)],[c_51,c_46]) ).
cnf(c_115,plain,
greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)),
inference(resolve,[status(thm)],[c_72,c_47]) ).
cnf(c_118,plain,
( age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolve,[status(thm)],[c_75,c_69]) ).
cnf(c_120,plain,
( greater(age(sk2,sk6),A)
| ~ greater(age(sk2,sk5),A) ),
inference(resolve,[status(thm)],[c_76,c_72]) ).
cnf(c_126,plain,
( greater(C,B)
| B = C
| greater(A,C)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_76,c_67]) ).
cnf(c_129,plain,
greater_or_equal(position(sk2,A),position(sk2,B)),
inference(resolve,[status(thm)],[c_78,c_51]) ).
cnf(c_133,plain,
( greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,B))
| ~ greater(capability(sk2,B),capability(sk2,A))
| has_immunity(sk2,B)
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_129,c_100]) ).
cnf(c_142,plain,
smaller_or_equal(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)),
inference(resolve,[status(thm)],[c_81,c_49]) ).
cnf(c_145,plain,
( greater(capability(sk2,B),capability(sk2,A))
| ~ greater(internal_friction(sk2,A),internal_friction(sk2,B)) ),
inference(resolve,[status(thm)],[c_142,c_92]) ).
cnf(c_147,plain,
~ has_immunity(sk2,sk5),
inference(resolve,[status(thm)],[c_82,c_73]) ).
cnf(c_149,plain,
has_immunity(sk2,sk4),
inference(resolve,[status(thm)],[c_83,c_74]) ).
cnf(c_150,plain,
( greater(age(sk2,A),eta)
| age(sk2,A) = eta
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_83,c_66]) ).
cnf(c_168,plain,
~ greater(age(sk2,sk4),eta),
inference(resolve,[status(thm)],[c_149,c_82]) ).
cnf(c_170,plain,
( greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_149,c_58]) ).
cnf(c_225,plain,
greater(age(sk2,sk6),eta),
inference(resolve,[status(thm)],[c_120,c_73]) ).
cnf(c_230,plain,
~ has_immunity(sk2,sk6),
inference(resolve,[status(thm)],[c_225,c_82]) ).
cnf(c_248,plain,
greater(capability(sk2,sk5),capability(sk2,sk6)),
inference(resolve,[status(thm)],[c_145,c_115]) ).
cnf(c_320,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| has_immunity(sk2,sk5)
| has_immunity(sk2,sk6) ),
inference(resolve,[status(thm)],[c_248,c_133]) ).
cnf(c_321,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| has_immunity(sk2,sk5) ),
inference(resolve,[status(thm)],[c_230,c_320]) ).
cnf(c_259,plain,
greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference(resolve,[status(thm)],[c_147,c_321]) ).
cnf(c_267,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(resolve,[status(thm)],[c_259,c_71]) ).
cnf(c_282,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference(resolve,[status(thm)],[c_170,c_147]) ).
cnf(c_287,plain,
hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4),
inference(resolve,[status(thm)],[c_282,c_267]) ).
cnf(c_322,plain,
( hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,sk4)
| ~ has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_59,c_149]) ).
cnf(c_302,plain,
~ has_immunity(sk2,sk3),
inference(resolve,[status(thm)],[c_322,c_287]) ).
cnf(c_310,plain,
( greater(age(sk2,sk3),eta)
| age(sk2,sk3) = eta ),
inference(resolve,[status(thm)],[c_302,c_150]) ).
cnf(c_311,plain,
~ smaller_or_equal(age(sk2,sk3),eta),
inference(resolve,[status(thm)],[c_83,c_302]) ).
cnf(c_312,plain,
age(sk2,sk3) != eta,
inference(resolve,[status(thm)],[c_81,c_311]) ).
cnf(c_313,plain,
~ greater(eta,age(sk2,sk3)),
inference(resolve,[status(thm)],[c_68,c_311]) ).
cnf(c_314,plain,
greater(age(sk2,sk3),eta),
inference(resolve,[status(thm)],[c_312,c_310]) ).
cnf(c_323,plain,
( greater(eta,A)
| A = eta
| ~ greater(age(sk2,sk4),A) ),
inference(resolve,[status(thm)],[c_126,c_168]) ).
cnf(c_324,plain,
( greater(eta,age(sk2,sk3))
| ~ greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolve,[status(thm)],[c_323,c_312]) ).
cnf(c_315,plain,
~ greater(age(sk2,sk4),age(sk2,sk3)),
inference(resolve,[status(thm)],[c_324,c_313]) ).
cnf(c_317,plain,
age(sk2,sk3) = age(sk2,sk4),
inference(resolve,[status(thm)],[c_315,c_118]) ).
cnf(c_325,plain,
greater(age(sk2,sk4),eta),
inference(paramod,[status(thm)],[c_317,c_314]) ).
cnf(c_319,plain,
$false,
inference(resolve,[status(thm)],[c_168,c_325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 00:09:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 308914 was started by sandbox on n004,
% 0.18/0.45 % Sat Sep 26 00:09:37 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.54
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54
% 0.18/0.54 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.18/0.54 % Length of proof is 76.
% 0.18/0.54 % Level of proof is 14.
% 0.18/0.54 % Maximum clause weight is 37.000.
% 0.18/0.54 % Given clauses 123.
% 0.18/0.54
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------