%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT047-1 : 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 : n006.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 08:02:58 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 107 ( 37 unt; 0 def)
% Number of atoms : 237 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 243 ( 113 ~; 130 |; 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 : 136 ( 7 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(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_2_62,axiom,
has_endowment(sk2),
file('theBenchmark.p',theorem_2_62) ).
cnf(c_14,plain,
has_endowment(sk2),
inference(clausify,[status(thm)],[theorem_2_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_5_53,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(capability(VAR_0,VAR_1),capability(VAR_0,VAR_2))
| ~ smaller_or_equal(internal_friction(VAR_0,VAR_1),internal_friction(VAR_0,VAR_2))
| ~ greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_5_53) ).
cnf(c_27,plain,
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_5_53]) ).
fof(assumption_6_56,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(position(VAR_0,VAR_1),position(VAR_0,VAR_2))
| ~ greater(external_ties(VAR_0,VAR_1),external_ties(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_6_56) ).
cnf(c_29,plain,
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6_56]) ).
fof(assumption_7_58,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(stock_of_knowledge(VAR_0,VAR_1),stock_of_knowledge(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_7_58) ).
cnf(c_31,plain,
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_7_58]) ).
fof(assumption_8_59,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(external_ties(VAR_0,VAR_1),external_ties(VAR_0,VAR_2))
| ~ greater(age(VAR_0,VAR_1),age(VAR_0,VAR_2))
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_8_59) ).
cnf(c_32,plain,
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_8_59]) ).
fof(assumption_9_60,axiom,
! [VAR_0,VAR_1,VAR_2] :
( internal_friction(VAR_0,VAR_1) = internal_friction(VAR_0,VAR_2)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_9_60) ).
cnf(c_33,plain,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_9_60]) ).
fof(theorem_2_61,axiom,
organization(sk2),
file('theBenchmark.p',theorem_2_61) ).
cnf(c_34,plain,
organization(sk2),
inference(clausify,[status(thm)],[theorem_2_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_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,
internal_friction(sk2,A) = internal_friction(sk2,B),
inference(resolve,[status(thm)],[c_33,c_18]) ).
cnf(c_48,plain,
( greater(external_ties(sk2,A),external_ties(sk2,B))
| ~ greater(age(sk2,A),age(sk2,B)) ),
inference(resolve,[status(thm)],[c_32,c_18]) ).
cnf(c_49,plain,
( greater(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B))
| ~ greater(age(sk2,A),age(sk2,B)) ),
inference(resolve,[status(thm)],[c_31,c_18]) ).
cnf(c_51,plain,
( greater(position(sk2,A),position(sk2,B))
| ~ greater(external_ties(sk2,A),external_ties(sk2,B)) ),
inference(resolve,[status(thm)],[c_29,c_18]) ).
cnf(c_54,plain,
( greater(capability(sk2,A),capability(sk2,B))
| ~ smaller_or_equal(internal_friction(sk2,A),internal_friction(sk2,B))
| ~ greater(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)) ),
inference(resolve,[status(thm)],[c_27,c_18]) ).
cnf(c_56,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_57,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_64,plain,
( smaller_or_equal(A,B)
| greater(A,B)
| A = B ),
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_65,plain,
( greater(B,A)
| greater(A,B)
| A = B ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_66,plain,
( smaller_or_equal(B,A)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_67,plain,
( B = A
| ~ smaller_or_equal(B,A)
| greater(A,B) ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
fof(theorem_2_67,axiom,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
file('theBenchmark.p',theorem_2_67) ).
cnf(c_68,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(clausify,[status(thm)],[theorem_2_67]) ).
cnf(c_69,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(copy,[status(thm)],[c_68]) ).
fof(theorem_2_66,axiom,
greater(age(sk2,sk6),age(sk2,sk5)),
file('theBenchmark.p',theorem_2_66) ).
cnf(c_70,plain,
greater(age(sk2,sk6),age(sk2,sk5)),
inference(clausify,[status(thm)],[theorem_2_66]) ).
fof(theorem_2_65,axiom,
greater(age(sk2,sk5),eta),
file('theBenchmark.p',theorem_2_65) ).
cnf(c_71,plain,
greater(age(sk2,sk5),eta),
inference(clausify,[status(thm)],[theorem_2_65]) ).
fof(theorem_2_64,axiom,
smaller_or_equal(age(sk2,sk4),eta),
file('theBenchmark.p',theorem_2_64) ).
cnf(c_72,plain,
smaller_or_equal(age(sk2,sk4),eta),
inference(clausify,[status(thm)],[theorem_2_64]) ).
fof(theorem_2_63,axiom,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('theBenchmark.p',theorem_2_63) ).
cnf(c_73,plain,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
inference(clausify,[status(thm)],[theorem_2_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_74,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive_10]) ).
fof(definition_greater_or_equal_5,axiom,
! [VAR_0,VAR_1] :
( greater_or_equal(VAR_0,VAR_1)
| ~ greater(VAR_0,VAR_1) ),
file('theBenchmark.p',definition_greater_or_equal_5) ).
cnf(c_77,plain,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal_5]) ).
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_79,plain,
( smaller_or_equal(A,B)
| A != B ),
inference(clausify,[status(thm)],[definition_smaller_or_equal_3]) ).
cnf(c_80,plain,
( ~ has_immunity(sk2,A)
| ~ greater(age(sk2,A),eta) ),
inference(resolve,[status(thm)],[c_9,c_14]) ).
cnf(c_81,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,A),capability(sk2,B))
| ~ smaller_or_equal(internal_friction(sk2,A),internal_friction(sk2,C))
| ~ greater(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)) ),
inference(paramod,[status(thm)],[c_47,c_54]) ).
cnf(c_111,plain,
greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)),
inference(resolve,[status(thm)],[c_70,c_49]) ).
cnf(c_112,plain,
greater(external_ties(sk2,sk6),external_ties(sk2,sk5)),
inference(resolve,[status(thm)],[c_70,c_48]) ).
cnf(c_115,plain,
( age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolve,[status(thm)],[c_73,c_67]) ).
cnf(c_120,plain,
( greater(A,eta)
| ~ greater(A,age(sk2,sk5)) ),
inference(resolve,[status(thm)],[c_74,c_71]) ).
cnf(c_123,plain,
( greater(C,B)
| B = C
| greater(A,C)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_74,c_65]) ).
cnf(c_132,plain,
smaller_or_equal(internal_friction(sk2,A),internal_friction(sk2,B)),
inference(resolve,[status(thm)],[c_79,c_47]) ).
cnf(c_134,plain,
( greater(capability(sk2,A),capability(sk2,B))
| ~ greater(stock_of_knowledge(sk2,A),stock_of_knowledge(sk2,B)) ),
inference(resolve,[status(thm)],[c_132,c_92]) ).
cnf(c_135,plain,
~ has_immunity(sk2,sk5),
inference(resolve,[status(thm)],[c_80,c_71]) ).
cnf(c_137,plain,
has_immunity(sk2,sk4),
inference(resolve,[status(thm)],[c_81,c_72]) ).
cnf(c_138,plain,
( greater(age(sk2,A),eta)
| age(sk2,A) = eta
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_81,c_64]) ).
cnf(c_159,plain,
~ greater(age(sk2,sk4),eta),
inference(resolve,[status(thm)],[c_137,c_80]) ).
cnf(c_161,plain,
( greater(hazard_of_mortality(sk2,A),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_137,c_56]) ).
cnf(c_207,plain,
greater(position(sk2,sk6),position(sk2,sk5)),
inference(resolve,[status(thm)],[c_112,c_51]) ).
cnf(c_287,plain,
greater_or_equal(position(sk2,sk6),position(sk2,sk5)),
inference(resolve,[status(thm)],[c_207,c_77]) ).
cnf(c_410,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(capability(sk2,sk6),capability(sk2,sk5))
| has_immunity(sk2,sk6)
| has_immunity(sk2,sk5) ),
inference(resolve,[status(thm)],[c_287,c_46]) ).
cnf(c_296,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(capability(sk2,sk6),capability(sk2,sk5))
| has_immunity(sk2,sk6) ),
inference(resolve,[status(thm)],[c_135,c_410]) ).
cnf(c_302,plain,
greater(age(sk2,sk6),eta),
inference(resolve,[status(thm)],[c_120,c_70]) ).
cnf(c_305,plain,
~ has_immunity(sk2,sk6),
inference(resolve,[status(thm)],[c_302,c_80]) ).
cnf(c_311,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(resolve,[status(thm)],[c_305,c_296]) ).
cnf(c_341,plain,
greater(capability(sk2,sk6),capability(sk2,sk5)),
inference(resolve,[status(thm)],[c_134,c_111]) ).
cnf(c_346,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)),
inference(resolve,[status(thm)],[c_341,c_311]) ).
cnf(c_349,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)) ),
inference(resolve,[status(thm)],[c_346,c_69]) ).
cnf(c_369,plain,
greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)),
inference(resolve,[status(thm)],[c_161,c_305]) ).
cnf(c_377,plain,
hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4),
inference(resolve,[status(thm)],[c_369,c_349]) ).
cnf(c_411,plain,
( hazard_of_mortality(sk2,A) = hazard_of_mortality(sk2,sk4)
| ~ has_immunity(sk2,A) ),
inference(resolve,[status(thm)],[c_57,c_137]) ).
cnf(c_392,plain,
~ has_immunity(sk2,sk3),
inference(resolve,[status(thm)],[c_411,c_377]) ).
cnf(c_400,plain,
( greater(age(sk2,sk3),eta)
| age(sk2,sk3) = eta ),
inference(resolve,[status(thm)],[c_392,c_138]) ).
cnf(c_401,plain,
~ smaller_or_equal(age(sk2,sk3),eta),
inference(resolve,[status(thm)],[c_81,c_392]) ).
cnf(c_402,plain,
age(sk2,sk3) != eta,
inference(resolve,[status(thm)],[c_79,c_401]) ).
cnf(c_403,plain,
~ greater(eta,age(sk2,sk3)),
inference(resolve,[status(thm)],[c_66,c_401]) ).
cnf(c_404,plain,
greater(age(sk2,sk3),eta),
inference(resolve,[status(thm)],[c_402,c_400]) ).
cnf(c_412,plain,
( greater(eta,A)
| A = eta
| ~ greater(age(sk2,sk4),A) ),
inference(resolve,[status(thm)],[c_123,c_159]) ).
cnf(c_413,plain,
( greater(eta,age(sk2,sk3))
| ~ greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolve,[status(thm)],[c_412,c_402]) ).
cnf(c_405,plain,
~ greater(age(sk2,sk4),age(sk2,sk3)),
inference(resolve,[status(thm)],[c_413,c_403]) ).
cnf(c_407,plain,
age(sk2,sk3) = age(sk2,sk4),
inference(resolve,[status(thm)],[c_405,c_115]) ).
cnf(c_414,plain,
greater(age(sk2,sk4),eta),
inference(paramod,[status(thm)],[c_407,c_404]) ).
cnf(c_409,plain,
$false,
inference(resolve,[status(thm)],[c_159,c_414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 00:08:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 4092019 was started by sandbox on n006,
% 0.10/0.36 % Sat Sep 26 00:08:40 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.36
% 0.14/0.36 % From the command line: assign(max_seconds, 300).
% 0.14/0.41
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41
% 0.14/0.41 % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.14/0.41 % Length of proof is 76.
% 0.14/0.41 % Level of proof is 16.
% 0.14/0.41 % Maximum clause weight is 37.000.
% 0.14/0.41 % Given clauses 131.
% 0.14/0.41
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------