%------------------------------------------------------------------------------
% 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 : n015.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 : Theorem 0.22s 0.56s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 31 unt; 0 def)
% Number of atoms : 260 ( 37 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 250 ( 86 ~; 91 |; 48 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 139 ( 7 sgn 47 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('theBenchmark.p',definition_smaller_or_equal) ).
fof(definition_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('theBenchmark.p',definition_greater_or_equal) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('theBenchmark.p',definition_smaller) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(meaning_postulate_greater_comparable,axiom,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
file('theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(definition_1,axiom,
! [X] :
( has_endowment(X)
<=> ! [T] :
( ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) )
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_1) ).
fof(assumption_2,axiom,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('theBenchmark.p',assumption_2) ).
fof(assumption_3,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('theBenchmark.p',assumption_3) ).
fof(assumption_4,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( position(X,T) = position(X,T0)
& capability(X,T) = capability(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ( greater(position(X,T),position(X,T0))
& greater_or_equal(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(position(X,T),position(X,T0))
& greater(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('theBenchmark.p',assumption_4) ).
fof(assumption_5,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( internal_friction(X,T) = internal_friction(X,T0)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
=> capability(X,T) = capability(X,T0) )
& ( ( greater(internal_friction(X,T),internal_friction(X,T0))
& smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ) ),
file('theBenchmark.p',assumption_5) ).
fof(assumption_6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('theBenchmark.p',assumption_6) ).
fof(assumption_7,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
file('theBenchmark.p',assumption_7) ).
fof(assumption_8,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('theBenchmark.p',assumption_8) ).
fof(assumption_9,axiom,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ),
file('theBenchmark.p',assumption_9) ).
fof(theorem_2,conjecture,
! [X,T0,T1,T2,T3] :
( ( greater(age(X,T3),age(X,T2))
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T0),age(X,T1))
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) ) ),
file('theBenchmark.p',theorem_2) ).
fof(theorem_2_neg,negated_conjecture,
~ ! [X,T0,T1,T2,T3] :
( ( greater(age(X,T3),age(X,T2))
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T0),age(X,T1))
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) ) ),
inference(assume_negation,[status(cth)],[theorem_2]) ).
cnf(c_17,plain,
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_18,plain,
( B = A
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_19,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_20,plain,
( ~ greater(B,A)
| smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_21,plain,
( greater(A,B)
| B = A
| smaller(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_comparable]) ).
cnf(c_22,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]) ).
cnf(c_25,plain,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1]) ).
fof(nnf_16,plain,
? [X,T0,T1,T2,T3] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
| ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) )
& greater(age(X,T3),age(X,T2))
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& smaller_or_equal(age(X,T0),age(X,T1))
& has_endowment(X)
& organization(X) ),
inference(fof_nnf,[status(thm)],[theorem_2_neg]) ).
fof(sk_theorem_2_neg,plain,
( ( hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4)
| ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& greater(age(sK0,sK2),age(sK0,sK1))
& greater(age(sK0,sK1),eta)
& smaller_or_equal(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK4),age(sK0,sK3))
& has_endowment(sK0)
& organization(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK4,sK3,sK1,sK2]),skolemize(X,sK0),skolemize(T0,sK4),skolemize(T1,sK3),skolemize(T2,sK1),skolemize(T3,sK2)],[nnf_16]) ).
cnf(c_29,negated_conjecture,
has_endowment(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_30,plain,
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1]) ).
cnf(c_31,plain,
( organization(A)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1]) ).
cnf(c_33,negated_conjecture,
organization(sK0),
inference(resolve,[status(thm)],[c_31,c_29]) ).
cnf(c_39,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]) ).
cnf(c_40,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]) ).
cnf(c_42,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]) ).
cnf(c_44,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]) ).
cnf(c_46,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]) ).
cnf(c_47,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]) ).
cnf(c_48,plain,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_9]) ).
cnf(c_49,negated_conjecture,
organization(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_50,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_22,c_19]) ).
cnf(c_61,negated_conjecture,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,B))
| ~ greater_or_equal(position(sK0,B),position(sK0,A))
| ~ greater(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_50,c_49]) ).
cnf(c_62,negated_conjecture,
internal_friction(sK0,A) = internal_friction(sK0,B),
inference(resolve,[status(thm)],[c_48,c_33]) ).
cnf(c_63,negated_conjecture,
( greater(external_ties(sK0,A),external_ties(sK0,B))
| ~ greater(age(sK0,A),age(sK0,B)) ),
inference(resolve,[status(thm)],[c_47,c_33]) ).
cnf(c_64,negated_conjecture,
( greater(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B))
| ~ greater(age(sK0,A),age(sK0,B)) ),
inference(resolve,[status(thm)],[c_46,c_33]) ).
cnf(c_66,negated_conjecture,
( greater(position(sK0,A),position(sK0,B))
| ~ greater(external_ties(sK0,A),external_ties(sK0,B)) ),
inference(resolve,[status(thm)],[c_44,c_33]) ).
cnf(c_69,negated_conjecture,
( greater(capability(sK0,A),capability(sK0,B))
| ~ smaller_or_equal(internal_friction(sK0,A),internal_friction(sK0,B))
| ~ greater(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(resolve,[status(thm)],[c_42,c_33]) ).
cnf(c_71,negated_conjecture,
( greater(hazard_of_mortality(sK0,B),hazard_of_mortality(sK0,A))
| has_immunity(sK0,B)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_40,c_33]) ).
cnf(c_72,negated_conjecture,
( hazard_of_mortality(sK0,A) = hazard_of_mortality(sK0,B)
| ~ has_immunity(sK0,B)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_39,c_33]) ).
cnf(c_80,plain,
( greater(A,B)
| greater(B,A)
| A = B ),
inference(resolve,[status(thm)],[c_21,c_19]) ).
cnf(c_81,plain,
( smaller_or_equal(B,A)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_20,c_17]) ).
cnf(c_82,plain,
( A = B
| ~ smaller_or_equal(B,A)
| greater(A,B) ),
inference(resolve,[status(thm)],[c_19,c_18]) ).
cnf(c_83,negated_conjecture,
( hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4)
| ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_84,negated_conjecture,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_85,negated_conjecture,
greater(age(sK0,sK1),eta),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_86,negated_conjecture,
smaller_or_equal(age(sK0,sK3),eta),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_87,negated_conjecture,
smaller_or_equal(age(sK0,sK4),age(sK0,sK3)),
inference(split_conjunct,[status(thm)],[sk_theorem_2_neg]) ).
cnf(c_88,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive]) ).
cnf(c_91,plain,
( ~ greater(A,B)
| greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal]) ).
cnf(c_93,plain,
( B != A
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_94,negated_conjecture,
( ~ has_immunity(sK0,A)
| ~ greater(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_25,c_29]) ).
cnf(c_95,negated_conjecture,
( has_immunity(sK0,A)
| ~ smaller_or_equal(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_102,plain,
( greater(capability(sK0,A),capability(sK0,B))
| ~ smaller_or_equal(internal_friction(sK0,A),internal_friction(sK0,C))
| ~ greater(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(paramod,[status(thm)],[c_62,c_69]) ).
cnf(c_111,plain,
( greater(A,B)
| A = B
| smaller_or_equal(A,B) ),
inference(resolve,[status(thm)],[c_81,c_80]) ).
cnf(c_114,plain,
greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(resolve,[status(thm)],[c_84,c_64]) ).
cnf(c_115,plain,
greater(external_ties(sK0,sK2),external_ties(sK0,sK1)),
inference(resolve,[status(thm)],[c_84,c_63]) ).
cnf(c_118,plain,
( age(sK0,sK3) = age(sK0,sK4)
| greater(age(sK0,sK3),age(sK0,sK4)) ),
inference(resolve,[status(thm)],[c_87,c_82]) ).
cnf(c_123,plain,
( greater(A,eta)
| ~ greater(A,age(sK0,sK1)) ),
inference(resolve,[status(thm)],[c_88,c_85]) ).
cnf(c_135,plain,
smaller_or_equal(internal_friction(sK0,A),internal_friction(sK0,B)),
inference(resolve,[status(thm)],[c_93,c_62]) ).
cnf(c_137,plain,
( greater(capability(sK0,A),capability(sK0,B))
| ~ greater(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(resolve,[status(thm)],[c_135,c_102]) ).
cnf(c_138,negated_conjecture,
~ has_immunity(sK0,sK1),
inference(resolve,[status(thm)],[c_94,c_85]) ).
cnf(c_139,plain,
has_immunity(sK0,sK3),
inference(resolve,[status(thm)],[c_95,c_86]) ).
cnf(c_147,plain,
~ greater(age(sK0,sK3),eta),
inference(resolve,[status(thm)],[c_139,c_94]) ).
cnf(c_448,negated_conjecture,
( hazard_of_mortality(sK0,A) = hazard_of_mortality(sK0,sK3)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_139,c_72]) ).
cnf(c_148,negated_conjecture,
( hazard_of_mortality(sK0,sK3) = hazard_of_mortality(sK0,A)
| ~ has_immunity(sK0,A) ),
inference(copy,[status(thm)],[c_448]) ).
cnf(c_149,plain,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,sK3))
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_139,c_71]) ).
cnf(c_164,plain,
greater(position(sK0,sK2),position(sK0,sK1)),
inference(resolve,[status(thm)],[c_115,c_66]) ).
cnf(c_193,plain,
greater_or_equal(position(sK0,sK2),position(sK0,sK1)),
inference(resolve,[status(thm)],[c_164,c_91]) ).
cnf(c_449,negated_conjecture,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK2),capability(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1) ),
inference(resolve,[status(thm)],[c_193,c_61]) ).
cnf(c_212,negated_conjecture,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK2),capability(sK0,sK1))
| has_immunity(sK0,sK2) ),
inference(resolve,[status(thm)],[c_138,c_449]) ).
cnf(c_217,plain,
greater(age(sK0,sK2),eta),
inference(resolve,[status(thm)],[c_123,c_84]) ).
cnf(c_232,negated_conjecture,
~ has_immunity(sK0,sK2),
inference(resolve,[status(thm)],[c_94,c_217]) ).
cnf(c_234,negated_conjecture,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(resolve,[status(thm)],[c_232,c_212]) ).
cnf(c_283,plain,
greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3)),
inference(resolve,[status(thm)],[c_149,c_232]) ).
cnf(c_290,negated_conjecture,
( hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4)
| ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(resolve,[status(thm)],[c_283,c_83]) ).
cnf(c_411,plain,
greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(resolve,[status(thm)],[c_137,c_114]) ).
cnf(c_416,negated_conjecture,
greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(resolve,[status(thm)],[c_411,c_234]) ).
cnf(c_418,negated_conjecture,
hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4),
inference(resolve,[status(thm)],[c_416,c_290]) ).
cnf(c_419,negated_conjecture,
~ has_immunity(sK0,sK4),
inference(resolve,[status(thm)],[c_148,c_418]) ).
cnf(c_421,negated_conjecture,
~ smaller_or_equal(age(sK0,sK4),eta),
inference(resolve,[status(thm)],[c_95,c_419]) ).
cnf(c_422,plain,
( greater(age(sK0,sK4),eta)
| age(sK0,sK4) = eta ),
inference(resolve,[status(thm)],[c_421,c_111]) ).
cnf(c_450,plain,
eta != age(sK0,sK4),
inference(resolve,[status(thm)],[c_93,c_421]) ).
cnf(c_423,plain,
age(sK0,sK4) != eta,
inference(copy,[status(thm)],[c_450]) ).
cnf(c_425,plain,
greater(age(sK0,sK4),eta),
inference(resolve,[status(thm)],[c_423,c_422]) ).
cnf(c_451,plain,
( greater(A,eta)
| ~ greater(A,age(sK0,sK4)) ),
inference(resolve,[status(thm)],[c_88,c_425]) ).
cnf(c_432,plain,
~ greater(age(sK0,sK3),age(sK0,sK4)),
inference(resolve,[status(thm)],[c_451,c_147]) ).
cnf(c_433,plain,
age(sK0,sK3) = age(sK0,sK4),
inference(resolve,[status(thm)],[c_432,c_118]) ).
cnf(c_452,plain,
~ greater(age(sK0,sK4),eta),
inference(paramod,[status(thm)],[c_433,c_147]) ).
cnf(c_447,plain,
$false,
inference(resolve,[status(thm)],[c_425,c_452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT047+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 : n015.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 00:12:27 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 2610729 was started by sandbox on n015,
% 0.18/0.44 % Sat Sep 26 00:12:27 2026
% 0.18/0.44 % 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).
% 0.22/0.56
% 0.22/0.56 % SZS status Theorem for theBenchmark
% 0.22/0.56
% 0.22/0.56 % Proof 1 at 0.06 (+ 0.03) seconds.
% 0.22/0.56 % Length of proof is 88.
% 0.22/0.56 % Level of proof is 17.
% 0.22/0.56 % Maximum clause weight is 27.000.
% 0.22/0.56 % Given clauses 130.
% 0.22/0.56
% 0.22/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------