%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT064+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 : 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 08:03:02 AM UTC 2026
% Result : Theorem 27.63s 3.96s
% Output : CNFRefutation 27.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 131 ( 43 unt; 0 def)
% Number of atoms : 339 ( 72 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 330 ( 122 ~; 126 |; 61 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 122 ( 7 sgn 35 !; 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_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('theBenchmark.p',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('theBenchmark.p',meaning_postulate_greater_strict) ).
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(assumption_1,axiom,
! [X,T] :
( ( ~ has_endowment(X)
& organization(X) )
=> ~ has_immunity(X,T) ),
file('theBenchmark.p',assumption_1) ).
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_2) ).
fof(assumption_13,axiom,
! [X,T] :
( ( age(X,T) = zero
& organization(X) )
=> is_aligned(X,T) ),
file('theBenchmark.p',assumption_13) ).
fof(assumption_15,axiom,
! [X,T0,T] :
( ( age(X,T0) = zero
& organization(X) )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ),
file('theBenchmark.p',assumption_15) ).
fof(definition_4,axiom,
! [X] :
( robust_position(X)
<=> ! [T] :
( ( greater(age(X,T),tau)
=> positional_advantage(X,T) )
& ( smaller_or_equal(age(X,T),tau)
=> ~ positional_advantage(X,T) ) ) ),
file('theBenchmark.p',definition_4) ).
fof(assumption_17,axiom,
! [X,T] :
( organization(X)
=> ( ( ~ has_immunity(X,T)
=> ( ( ( ~ positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = high )
& ( ( ~ positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = low ) ) )
& ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low ) ) ),
file('theBenchmark.p',assumption_17) ).
fof(theorem_10,conjecture,
! [X,T0,T1,T2,T3] :
( ( greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),tau)
& smaller_or_equal(age(X,T1),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) ) ),
file('theBenchmark.p',theorem_10) ).
fof(theorem_10_neg,negated_conjecture,
~ ! [X,T0,T1,T2,T3] :
( ( greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),tau)
& smaller_or_equal(age(X,T1),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) ) ),
inference(assume_negation,[status(cth)],[theorem_10]) ).
fof(nnf_14,plain,
? [X,T0,T1,T2,T3] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ smaller(hazard_of_mortality(X,T3),hazard_of_mortality(X,T1))
| ~ smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T3)) )
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),tau)
& smaller_or_equal(age(X,T1),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) ),
inference(fof_nnf,[status(thm)],[theorem_10_neg]) ).
fof(sk_theorem_10_neg,plain,
( ( hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4)
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& greater(age(sK0,sK2),sigma)
& smaller_or_equal(age(sK0,sK1),sigma)
& greater(age(sK0,sK1),tau)
& smaller_or_equal(age(sK0,sK3),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& age(sK0,sK4) = zero
& ~ has_endowment(sK0)
& robust_position(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_14]) ).
cnf(c_19,negated_conjecture,
organization(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_20,plain,
( hazard_of_mortality(A,B) = mod2
| positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17]) ).
cnf(c_21,plain,
( hazard_of_mortality(A,B) = mod1
| ~ positional_advantage(A,B)
| is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17]) ).
cnf(c_22,plain,
( hazard_of_mortality(A,B) = low
| ~ positional_advantage(A,B)
| ~ is_aligned(A,B)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17]) ).
cnf(c_24,plain,
( ~ dissimilar(A,B,C)
| greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15]) ).
cnf(c_25,plain,
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15]) ).
cnf(c_26,plain,
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_13]) ).
cnf(c_28,plain,
( is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A)
| dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_29,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_30,plain,
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_1]) ).
cnf(c_36,plain,
( positional_advantage(A,B)
| ~ greater(age(A,B),tau)
| ~ robust_position(A) ),
inference(clausify,[status(thm)],[definition_4]) ).
cnf(c_37,plain,
( ~ positional_advantage(A,B)
| ~ smaller_or_equal(age(A,B),tau)
| ~ robust_position(A) ),
inference(clausify,[status(thm)],[definition_4]) ).
cnf(c_40,negated_conjecture,
robust_position(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_41,negated_conjecture,
( ~ positional_advantage(sK0,A)
| ~ smaller_or_equal(age(sK0,A),tau) ),
inference(resolve,[status(thm)],[c_40,c_37]) ).
cnf(c_42,negated_conjecture,
( positional_advantage(sK0,A)
| ~ greater(age(sK0,A),tau) ),
inference(resolve,[status(thm)],[c_40,c_36]) ).
cnf(c_49,negated_conjecture,
( hazard_of_mortality(sK0,sK3) != hazard_of_mortality(sK0,sK4)
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_50,negated_conjecture,
greater(age(sK0,sK2),sigma),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_51,negated_conjecture,
smaller_or_equal(age(sK0,sK1),sigma),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_52,negated_conjecture,
greater(age(sK0,sK1),tau),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_53,negated_conjecture,
smaller_or_equal(age(sK0,sK3),tau),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_54,negated_conjecture,
greater(sigma,tau),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_55,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_57,negated_conjecture,
age(sK0,sK4) = zero,
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
cnf(c_58,negated_conjecture,
~ has_endowment(sK0),
inference(split_conjunct,[status(thm)],[sk_theorem_10_neg]) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('theBenchmark.p',assumption_19) ).
cnf(c_59,plain,
greater(mod2,mod1),
inference(clausify,[status(thm)],[assumption_19]) ).
fof(assumption_18b,axiom,
greater(mod1,low),
file('theBenchmark.p',assumption_18b) ).
cnf(c_63,plain,
greater(mod1,low),
inference(clausify,[status(thm)],[assumption_18b]) ).
cnf(c_65,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_69,plain,
( greater(A,B)
| B = A
| smaller(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_comparable]) ).
cnf(c_70,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive]) ).
cnf(c_71,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict]) ).
cnf(c_72,plain,
( ~ greater(B,A)
| smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_73,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_75,plain,
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_76,plain,
( B = A
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_78,negated_conjecture,
( hazard_of_mortality(sK0,A) = mod2
| positional_advantage(sK0,A)
| ~ is_aligned(sK0,A)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_20,c_19]) ).
cnf(c_79,negated_conjecture,
( hazard_of_mortality(sK0,A) = mod1
| ~ positional_advantage(sK0,A)
| is_aligned(sK0,A)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_21,c_19]) ).
cnf(c_80,negated_conjecture,
( hazard_of_mortality(sK0,A) = low
| ~ positional_advantage(sK0,A)
| ~ is_aligned(sK0,A)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_22,c_19]) ).
cnf(c_83,negated_conjecture,
( dissimilar(sK0,A,B)
| ~ greater(age(sK0,B),sigma)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_25,c_19]) ).
cnf(c_84,negated_conjecture,
( is_aligned(sK0,A)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_26,c_19]) ).
cnf(c_86,negated_conjecture,
( is_aligned(sK0,B)
| ~ is_aligned(sK0,A)
| dissimilar(sK0,A,B) ),
inference(resolve,[status(thm)],[c_28,c_19]) ).
cnf(c_91,plain,
( ~ dissimilar(A,D,E)
| greater(age(A,E),sigma)
| age(A,D) != zero
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_29,c_24]) ).
cnf(c_98,negated_conjecture,
( ~ has_immunity(sK0,A)
| has_endowment(sK0) ),
inference(resolve,[status(thm)],[c_30,c_19]) ).
cnf(c_99,negated_conjecture,
~ has_immunity(sK0,A),
inference(resolve,[status(thm)],[c_58,c_98]) ).
cnf(c_116,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_71]) ).
cnf(c_117,plain,
( greater(age(A,C),sigma)
| age(A,B) != zero
| ~ dissimilar(A,B,C) ),
inference(factor,[status(thm)],[c_91]) ).
cnf(c_118,negated_conjecture,
( hazard_of_mortality(sK0,A) = low
| ~ positional_advantage(sK0,A)
| ~ is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_99,c_80]) ).
cnf(c_119,negated_conjecture,
( hazard_of_mortality(sK0,A) = mod1
| ~ positional_advantage(sK0,A)
| is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_99,c_79]) ).
cnf(c_120,negated_conjecture,
( hazard_of_mortality(sK0,A) = mod2
| positional_advantage(sK0,A)
| ~ is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_99,c_78]) ).
cnf(c_124,plain,
positional_advantage(sK0,sK1),
inference(resolve,[status(thm)],[c_52,c_42]) ).
cnf(c_128,plain,
~ positional_advantage(sK0,sK3),
inference(resolve,[status(thm)],[c_53,c_41]) ).
cnf(c_129,plain,
( ~ positional_advantage(sK0,sK4)
| ~ smaller_or_equal(zero,tau) ),
inference(paramod,[status(thm)],[c_57,c_41]) ).
cnf(c_142,plain,
( greater(age(sK0,sK2),A)
| ~ greater(sigma,A) ),
inference(resolve,[status(thm)],[c_70,c_50]) ).
cnf(c_144,plain,
( greater(A,low)
| ~ greater(A,mod1) ),
inference(resolve,[status(thm)],[c_70,c_63]) ).
cnf(c_166,plain,
smaller(low,mod1),
inference(resolve,[status(thm)],[c_72,c_63]) ).
cnf(c_170,plain,
smaller(mod1,mod2),
inference(resolve,[status(thm)],[c_72,c_59]) ).
cnf(c_172,plain,
smaller(zero,tau),
inference(resolve,[status(thm)],[c_72,c_55]) ).
cnf(c_176,plain,
( greater(B,A)
| A = B
| greater(A,B) ),
inference(resolve,[status(thm)],[c_73,c_69]) ).
cnf(c_7017,negated_conjecture,
( sigma = age(sK0,sK1)
| smaller(age(sK0,sK1),sigma) ),
inference(resolve,[status(thm)],[c_76,c_51]) ).
cnf(c_181,negated_conjecture,
( age(sK0,sK1) = sigma
| smaller(age(sK0,sK1),sigma) ),
inference(copy,[status(thm)],[c_7017]) ).
cnf(c_182,plain,
( dissimilar(sK0,A,sK2)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_83,c_50]) ).
cnf(c_183,plain,
is_aligned(sK0,sK4),
inference(resolve,[status(thm)],[c_84,c_57]) ).
cnf(c_185,plain,
~ smaller(A,A),
inference(resolve,[status(thm)],[c_73,c_116]) ).
cnf(c_188,plain,
( hazard_of_mortality(sK0,sK1) = low
| ~ is_aligned(sK0,sK1) ),
inference(resolve,[status(thm)],[c_124,c_118]) ).
cnf(c_191,negated_conjecture,
~ greater(age(sK0,sK3),tau),
inference(resolve,[status(thm)],[c_42,c_128]) ).
cnf(c_210,plain,
smaller_or_equal(zero,tau),
inference(resolve,[status(thm)],[c_172,c_75]) ).
cnf(c_211,plain,
~ positional_advantage(sK0,sK4),
inference(resolve,[status(thm)],[c_210,c_129]) ).
cnf(c_7018,negated_conjecture,
( hazard_of_mortality(sK0,sK4) = mod2
| positional_advantage(sK0,sK4) ),
inference(resolve,[status(thm)],[c_183,c_120]) ).
cnf(c_218,negated_conjecture,
hazard_of_mortality(sK0,sK4) = mod2,
inference(resolve,[status(thm)],[c_211,c_7018]) ).
cnf(c_219,plain,
( is_aligned(sK0,A)
| dissimilar(sK0,sK4,A) ),
inference(resolve,[status(thm)],[c_183,c_86]) ).
cnf(c_224,negated_conjecture,
( hazard_of_mortality(sK0,sK3) != mod2
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_218,c_49]) ).
cnf(c_7019,negated_conjecture,
( greater(A,tau)
| ~ greater(A,sigma) ),
inference(resolve,[status(thm)],[c_70,c_54]) ).
cnf(c_255,negated_conjecture,
~ greater(age(sK0,sK3),sigma),
inference(resolve,[status(thm)],[c_7019,c_191]) ).
cnf(c_7020,negated_conjecture,
( greater(age(sK0,A),sigma)
| ~ dissimilar(sK0,sK4,A) ),
inference(resolve,[status(thm)],[c_117,c_57]) ).
cnf(c_264,negated_conjecture,
~ dissimilar(sK0,sK4,sK3),
inference(resolve,[status(thm)],[c_7020,c_255]) ).
cnf(c_273,plain,
greater(age(sK0,sK2),tau),
inference(resolve,[status(thm)],[c_142,c_54]) ).
cnf(c_284,plain,
positional_advantage(sK0,sK2),
inference(resolve,[status(thm)],[c_273,c_42]) ).
cnf(c_285,plain,
( hazard_of_mortality(sK0,sK2) = mod1
| is_aligned(sK0,sK2) ),
inference(resolve,[status(thm)],[c_284,c_119]) ).
cnf(c_7021,plain,
( greater(A,low)
| greater(mod1,A)
| A = mod1 ),
inference(resolve,[status(thm)],[c_176,c_144]) ).
cnf(c_311,plain,
( greater(A,low)
| greater(mod1,A)
| mod1 = A ),
inference(copy,[status(thm)],[c_7021]) ).
cnf(c_334,plain,
is_aligned(sK0,sK3),
inference(resolve,[status(thm)],[c_219,c_264]) ).
cnf(c_7022,plain,
( greater(age(sK0,A),sigma)
| age(sK0,sK4) != zero
| is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_219,c_117]) ).
cnf(c_7023,plain,
( greater(age(sK0,A),sigma)
| zero != zero
| is_aligned(sK0,A) ),
inference(paramod,[status(thm)],[c_57,c_7022]) ).
cnf(c_335,plain,
( greater(age(sK0,A),sigma)
| is_aligned(sK0,A) ),
inference(copy,[status(thm)],[c_7023]) ).
cnf(c_7024,negated_conjecture,
( hazard_of_mortality(sK0,sK3) = mod2
| positional_advantage(sK0,sK3) ),
inference(resolve,[status(thm)],[c_334,c_120]) ).
cnf(c_336,negated_conjecture,
hazard_of_mortality(sK0,sK3) = mod2,
inference(resolve,[status(thm)],[c_128,c_7024]) ).
cnf(c_7025,negated_conjecture,
( hazard_of_mortality(sK0,sK3) != mod2
| ~ smaller(hazard_of_mortality(sK0,sK2),mod2)
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_336,c_224]) ).
cnf(c_7026,negated_conjecture,
( mod2 != mod2
| ~ smaller(hazard_of_mortality(sK0,sK2),mod2)
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(paramod,[status(thm)],[c_336,c_7025]) ).
cnf(c_341,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK0,sK2),mod2)
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
inference(copy,[status(thm)],[c_7026]) ).
cnf(c_357,plain,
( greater(sigma,age(sK0,sK1))
| age(sK0,sK1) = sigma ),
inference(resolve,[status(thm)],[c_181,c_73]) ).
cnf(c_363,plain,
dissimilar(sK0,sK4,sK2),
inference(resolve,[status(thm)],[c_182,c_57]) ).
cnf(c_7027,plain,
( ~ is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK4) ),
inference(resolve,[status(thm)],[c_363,c_65]) ).
cnf(c_364,plain,
~ is_aligned(sK0,sK2),
inference(resolve,[status(thm)],[c_183,c_7027]) ).
cnf(c_365,plain,
hazard_of_mortality(sK0,sK2) = mod1,
inference(resolve,[status(thm)],[c_364,c_285]) ).
cnf(c_7028,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK0,sK2),mod2)
| ~ smaller(hazard_of_mortality(sK0,sK1),mod1) ),
inference(paramod,[status(thm)],[c_365,c_341]) ).
cnf(c_7029,negated_conjecture,
( ~ smaller(mod1,mod2)
| ~ smaller(hazard_of_mortality(sK0,sK1),mod1) ),
inference(paramod,[status(thm)],[c_365,c_7028]) ).
cnf(c_368,negated_conjecture,
~ smaller(hazard_of_mortality(sK0,sK1),mod1),
inference(resolve,[status(thm)],[c_170,c_7029]) ).
cnf(c_369,plain,
( hazard_of_mortality(sK0,sK1) = low
| greater(age(sK0,sK1),sigma) ),
inference(resolve,[status(thm)],[c_335,c_188]) ).
cnf(c_399,negated_conjecture,
~ greater(mod1,hazard_of_mortality(sK0,sK1)),
inference(resolve,[status(thm)],[c_72,c_368]) ).
cnf(c_7030,plain,
( greater(hazard_of_mortality(sK0,sK1),low)
| mod1 = hazard_of_mortality(sK0,sK1) ),
inference(resolve,[status(thm)],[c_311,c_399]) ).
cnf(c_722,plain,
( greater(hazard_of_mortality(sK0,sK1),low)
| hazard_of_mortality(sK0,sK1) = mod1 ),
inference(copy,[status(thm)],[c_7030]) ).
cnf(c_1798,plain,
( ~ greater(age(sK0,sK1),sigma)
| age(sK0,sK1) = sigma ),
inference(resolve,[status(thm)],[c_357,c_71]) ).
cnf(c_1907,plain,
( smaller(sigma,age(sK0,sK1))
| hazard_of_mortality(sK0,sK1) = low ),
inference(resolve,[status(thm)],[c_369,c_72]) ).
cnf(c_6239,plain,
( smaller(low,hazard_of_mortality(sK0,sK1))
| hazard_of_mortality(sK0,sK1) = mod1 ),
inference(resolve,[status(thm)],[c_722,c_72]) ).
cnf(c_6429,plain,
( hazard_of_mortality(sK0,sK1) = low
| age(sK0,sK1) = sigma ),
inference(resolve,[status(thm)],[c_1798,c_369]) ).
cnf(c_7031,plain,
( ~ smaller(low,mod1)
| age(sK0,sK1) = sigma ),
inference(paramod,[status(thm)],[c_6429,c_368]) ).
cnf(c_6462,plain,
age(sK0,sK1) = sigma,
inference(resolve,[status(thm)],[c_166,c_7031]) ).
cnf(c_7032,plain,
( smaller(sigma,sigma)
| hazard_of_mortality(sK0,sK1) = low ),
inference(paramod,[status(thm)],[c_6462,c_1907]) ).
cnf(c_6743,plain,
hazard_of_mortality(sK0,sK1) = low,
inference(resolve,[status(thm)],[c_185,c_7032]) ).
cnf(c_7033,plain,
( smaller(low,hazard_of_mortality(sK0,sK1))
| low = mod1 ),
inference(paramod,[status(thm)],[c_6743,c_6239]) ).
cnf(c_7034,plain,
( smaller(low,low)
| low = mod1 ),
inference(paramod,[status(thm)],[c_6743,c_7033]) ).
cnf(c_7035,plain,
( smaller(low,low)
| mod1 = low ),
inference(copy,[status(thm)],[c_7034]) ).
cnf(c_6748,plain,
mod1 = low,
inference(resolve,[status(thm)],[c_185,c_7035]) ).
cnf(c_7036,plain,
smaller(low,low),
inference(paramod,[status(thm)],[c_6748,c_166]) ).
cnf(c_7016,plain,
$false,
inference(resolve,[status(thm)],[c_185,c_7036]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 00:14:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.13/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.37 % Process 2614540 was started by sandbox2 on n015,
% 0.13/0.37 % Sat Sep 26 00:14:12 2026
% 0.13/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.38
% 0.13/0.38 % From the command line: assign(max_seconds, 300).
% 27.63/3.96
% 27.63/3.96 % given #500 (T,wt=9): 870 very_low = A | greater(A,very_low) | smaller(A,low). [resolve(321,c,72,b)].
% 27.63/3.96
% 27.63/3.96 % given #1000 (T,wt=9): 2485 very_low = tau | greater(sigma,very_low) | smaller(zero,mod2). [resolve(914,c,72,b)].
% 27.63/3.96
% 27.63/3.96 % given #1500 (T,wt=9): 5792 low = tau | greater(sigma,very_low) | smaller_or_equal(tau,mod2). [resolve(3780,c,75,b)].
% 27.63/3.96
% 27.63/3.96 % SZS status Theorem for theBenchmark
% 27.63/3.96
% 27.63/3.96 % Proof 1 at 2.70 (+ 0.83) seconds.
% 27.63/3.96 % Length of proof is 106.
% 27.63/3.96 % Level of proof is 15.
% 27.63/3.96 % Maximum clause weight is 21.000.
% 27.63/3.96 % Given clauses 1543.
% 27.63/3.96
% 27.63/3.96 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------