%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Theorem 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 32 unt; 0 def)
% Number of atoms : 268 ( 47 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 260 ( 90 ~; 98 |; 47 &)
% ( 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 : 152 ( 16 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_10,axiom,
! [X,T0,T] :
( organization(X)
=> stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
file('theBenchmark.p',assumption_10) ).
fof(assumption_11,axiom,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ),
file('theBenchmark.p',assumption_11) ).
fof(assumption_12,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('theBenchmark.p',assumption_12) ).
fof(theorem_4,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,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
file('theBenchmark.p',theorem_4) ).
fof(theorem_4_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,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
inference(assume_negation,[status(cth)],[theorem_4]) ).
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_24,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]) ).
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,T2),hazard_of_mortality(X,T1))
| ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
& 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_4_neg]) ).
fof(sk_theorem_4_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,sK1),age(sK0,sK2))
& greater(age(sK0,sK2),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,sK2,sK1]),skolemize(X,sK0),skolemize(T0,sK4),skolemize(T1,sK3),skolemize(T2,sK2),skolemize(T3,sK1)],[nnf_16]) ).
cnf(c_29,negated_conjecture,
has_endowment(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_4_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_45,plain,
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_6]) ).
cnf(c_46,plain,
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_10]) ).
cnf(c_47,plain,
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_11]) ).
cnf(c_48,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]) ).
cnf(c_49,negated_conjecture,
organization(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_4_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_54,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_24,c_19]) ).
cnf(c_57,negated_conjecture,
( greater(capability(sK0,B),capability(sK0,A))
| ~ greater(internal_friction(sK0,A),internal_friction(sK0,B))
| ~ smaller_or_equal(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(resolve,[status(thm)],[c_54,c_49]) ).
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,
( greater(internal_friction(sK0,A),internal_friction(sK0,B))
| ~ greater(age(sK0,A),age(sK0,B)) ),
inference(resolve,[status(thm)],[c_48,c_33]) ).
cnf(c_63,negated_conjecture,
external_ties(sK0,A) = external_ties(sK0,B),
inference(resolve,[status(thm)],[c_47,c_33]) ).
cnf(c_64,negated_conjecture,
stock_of_knowledge(sK0,A) = stock_of_knowledge(sK0,B),
inference(resolve,[status(thm)],[c_46,c_33]) ).
cnf(c_65,negated_conjecture,
( position(sK0,A) = position(sK0,B)
| external_ties(sK0,A) != external_ties(sK0,B) ),
inference(resolve,[status(thm)],[c_45,c_33]) ).
cnf(c_66,negated_conjecture,
position(sK0,A) = position(sK0,B),
inference(resolve,[status(thm)],[c_63,c_65]) ).
cnf(c_73,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_74,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_82,plain,
( greater(A,B)
| greater(B,A)
| A = B ),
inference(resolve,[status(thm)],[c_21,c_19]) ).
cnf(c_83,plain,
( smaller_or_equal(B,A)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_20,c_17]) ).
cnf(c_84,plain,
( A = B
| ~ smaller_or_equal(B,A)
| greater(A,B) ),
inference(resolve,[status(thm)],[c_19,c_18]) ).
cnf(c_85,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_4_neg]) ).
cnf(c_86,negated_conjecture,
greater(age(sK0,sK1),age(sK0,sK2)),
inference(split_conjunct,[status(thm)],[sk_theorem_4_neg]) ).
cnf(c_87,negated_conjecture,
greater(age(sK0,sK2),eta),
inference(split_conjunct,[status(thm)],[sk_theorem_4_neg]) ).
cnf(c_88,negated_conjecture,
smaller_or_equal(age(sK0,sK3),eta),
inference(split_conjunct,[status(thm)],[sk_theorem_4_neg]) ).
cnf(c_89,negated_conjecture,
smaller_or_equal(age(sK0,sK4),age(sK0,sK3)),
inference(split_conjunct,[status(thm)],[sk_theorem_4_neg]) ).
cnf(c_90,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive]) ).
cnf(c_92,plain,
( B != A
| greater_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_greater_or_equal]) ).
cnf(c_95,plain,
( B != A
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_96,negated_conjecture,
( ~ has_immunity(sK0,A)
| ~ greater(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_25,c_29]) ).
cnf(c_97,negated_conjecture,
( has_immunity(sK0,A)
| ~ smaller_or_equal(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_30,c_29]) ).
cnf(c_106,plain,
( greater(capability(sK0,C),capability(sK0,A))
| ~ greater(internal_friction(sK0,A),internal_friction(sK0,C))
| ~ smaller_or_equal(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)) ),
inference(paramod,[status(thm)],[c_64,c_57]) ).
cnf(c_110,plain,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,B))
| ~ greater_or_equal(position(sK0,B),position(sK0,C))
| ~ greater(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(paramod,[status(thm)],[c_66,c_61]) ).
cnf(c_119,plain,
greater(internal_friction(sK0,sK1),internal_friction(sK0,sK2)),
inference(resolve,[status(thm)],[c_86,c_62]) ).
cnf(c_122,plain,
( age(sK0,sK3) = age(sK0,sK4)
| greater(age(sK0,sK3),age(sK0,sK4)) ),
inference(resolve,[status(thm)],[c_89,c_84]) ).
cnf(c_124,plain,
( greater(age(sK0,sK1),A)
| ~ greater(age(sK0,sK2),A) ),
inference(resolve,[status(thm)],[c_90,c_86]) ).
cnf(c_130,plain,
( greater(C,B)
| C = B
| greater(A,C)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_90,c_82]) ).
cnf(c_133,plain,
greater_or_equal(position(sK0,A),position(sK0,B)),
inference(resolve,[status(thm)],[c_92,c_66]) ).
cnf(c_137,plain,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,B))
| ~ greater(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_133,c_110]) ).
cnf(c_144,plain,
smaller_or_equal(stock_of_knowledge(sK0,A),stock_of_knowledge(sK0,B)),
inference(resolve,[status(thm)],[c_95,c_64]) ).
cnf(c_147,plain,
( greater(capability(sK0,B),capability(sK0,A))
| ~ greater(internal_friction(sK0,A),internal_friction(sK0,B)) ),
inference(resolve,[status(thm)],[c_144,c_106]) ).
cnf(c_149,negated_conjecture,
~ has_immunity(sK0,sK2),
inference(resolve,[status(thm)],[c_96,c_87]) ).
cnf(c_150,plain,
has_immunity(sK0,sK3),
inference(resolve,[status(thm)],[c_97,c_88]) ).
cnf(c_169,plain,
~ greater(age(sK0,sK3),eta),
inference(resolve,[status(thm)],[c_150,c_96]) ).
cnf(c_366,negated_conjecture,
( hazard_of_mortality(sK0,A) = hazard_of_mortality(sK0,sK3)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_150,c_74]) ).
cnf(c_170,negated_conjecture,
( hazard_of_mortality(sK0,sK3) = hazard_of_mortality(sK0,A)
| ~ has_immunity(sK0,A) ),
inference(copy,[status(thm)],[c_366]) ).
cnf(c_171,plain,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,sK3))
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_150,c_73]) ).
cnf(c_231,plain,
greater(age(sK0,sK1),eta),
inference(resolve,[status(thm)],[c_124,c_87]) ).
cnf(c_240,negated_conjecture,
~ has_immunity(sK0,sK1),
inference(resolve,[status(thm)],[c_96,c_231]) ).
cnf(c_253,plain,
greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3)),
inference(resolve,[status(thm)],[c_171,c_149]) ).
cnf(c_259,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_253,c_85]) ).
cnf(c_260,plain,
greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(resolve,[status(thm)],[c_147,c_119]) ).
cnf(c_367,plain,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1) ),
inference(resolve,[status(thm)],[c_260,c_137]) ).
cnf(c_368,plain,
( greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| has_immunity(sK0,sK2) ),
inference(resolve,[status(thm)],[c_240,c_367]) ).
cnf(c_289,plain,
greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
inference(resolve,[status(thm)],[c_149,c_368]) ).
cnf(c_296,negated_conjecture,
hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4),
inference(resolve,[status(thm)],[c_289,c_259]) ).
cnf(c_303,negated_conjecture,
~ has_immunity(sK0,sK4),
inference(resolve,[status(thm)],[c_170,c_296]) ).
cnf(c_306,negated_conjecture,
~ smaller_or_equal(age(sK0,sK4),eta),
inference(resolve,[status(thm)],[c_97,c_303]) ).
cnf(c_369,plain,
eta != age(sK0,sK4),
inference(resolve,[status(thm)],[c_95,c_306]) ).
cnf(c_307,plain,
age(sK0,sK4) != eta,
inference(copy,[status(thm)],[c_369]) ).
cnf(c_308,plain,
~ greater(eta,age(sK0,sK4)),
inference(resolve,[status(thm)],[c_83,c_306]) ).
cnf(c_370,plain,
( greater(eta,A)
| eta = A
| ~ greater(age(sK0,sK3),A) ),
inference(resolve,[status(thm)],[c_130,c_169]) ).
cnf(c_371,plain,
eta != age(sK0,sK4),
inference(copy,[status(thm)],[c_307]) ).
cnf(c_372,plain,
( greater(eta,age(sK0,sK4))
| ~ greater(age(sK0,sK3),age(sK0,sK4)) ),
inference(resolve,[status(thm)],[c_370,c_371]) ).
cnf(c_326,plain,
~ greater(age(sK0,sK3),age(sK0,sK4)),
inference(resolve,[status(thm)],[c_372,c_308]) ).
cnf(c_328,plain,
age(sK0,sK3) = age(sK0,sK4),
inference(resolve,[status(thm)],[c_326,c_122]) ).
cnf(c_373,plain,
smaller_or_equal(age(sK0,sK4),eta),
inference(paramod,[status(thm)],[c_328,c_88]) ).
cnf(c_365,plain,
$false,
inference(resolve,[status(thm)],[c_306,c_373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT051+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 00:09:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 3233332 was started by sandbox2 on n011,
% 0.11/0.38 % Sat Sep 26 00:09:45 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 0.14/0.43
% 0.14/0.43 % SZS status Theorem for theBenchmark
% 0.14/0.43
% 0.14/0.43 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.14/0.43 % Length of proof is 87.
% 0.14/0.43 % Level of proof is 14.
% 0.14/0.43 % Maximum clause weight is 37.000.
% 0.14/0.43 % Given clauses 136.
% 0.14/0.43
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------