TSTP Solution File: MGT062-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 35
% Syntax : Number of clauses : 123 ( 26 unt; 41 nHn; 110 RR)
% Number of literals : 308 ( 68 equ; 145 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(A,B)
| smaller_or_equal(A,B) ) ).
cnf(definition_smaller_8,axiom,
( ~ greater(A,B)
| smaller(B,A) ) ).
cnf(assumption_1_39,axiom,
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ) ).
cnf(definition_2_42,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ) ).
cnf(definition_2_44,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,B,C) ) ).
cnf(assumption_13_47,axiom,
( ~ organization(A)
| age(A,B) != zero
| is_aligned(A,B) ) ).
cnf(assumption_15_48,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ greater(age(A,C),sigma)
| dissimilar(A,B,C) ) ).
cnf(assumption_15_49,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ dissimilar(A,B,C)
| greater(age(A,C),sigma) ) ).
cnf(definition_4_50,axiom,
( ~ robust_position(A)
| ~ smaller_or_equal(age(A,B),tau)
| ~ positional_advantage(A,B) ) ).
cnf(definition_4_51,axiom,
( ~ robust_position(A)
| ~ greater(age(A,B),tau)
| positional_advantage(A,B) ) ).
cnf(assumption_17_58,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| ~ positional_advantage(A,B)
| hazard_of_mortality(A,B) = mod1 ) ).
cnf(assumption_17_59,axiom,
( ~ organization(A)
| has_immunity(A,B)
| ~ is_aligned(A,B)
| positional_advantage(A,B)
| hazard_of_mortality(A,B) = mod2 ) ).
cnf(assumption_19_61,axiom,
greater(mod2,mod1) ).
cnf(theorem_8_62,negated_conjecture,
organization(sk2) ).
cnf(theorem_8_63,negated_conjecture,
robust_position(sk2) ).
cnf(theorem_8_64,negated_conjecture,
~ has_endowment(sk2) ).
cnf(theorem_8_65,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(theorem_8_66,negated_conjecture,
greater(sigma,zero) ).
cnf(theorem_8_68,negated_conjecture,
sigma = tau ).
cnf(theorem_8_69,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma) ).
cnf(theorem_8_70,negated_conjecture,
greater(age(sk2,sk5),sigma) ).
cnf(theorem_8_71,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ) ).
cnf(refute_0_0,plain,
( ~ has_immunity(sk2,sk3)
| ~ organization(sk2)
| has_endowment(sk2) ),
inference(subst,[],[assumption_1_39:[bind(A,$fot(sk2)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_1,plain,
( ~ has_immunity(sk2,sk4)
| ~ organization(sk2)
| has_endowment(sk2) ),
inference(subst,[],[assumption_1_39:[bind(A,$fot(sk2)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_2,plain,
( ~ has_immunity(sk2,sk5)
| ~ organization(sk2)
| has_endowment(sk2) ),
inference(subst,[],[assumption_1_39:[bind(A,$fot(sk2)),bind(B,$fot(sk5))]]) ).
cnf(refute_0_3,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
| smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(tautology,[equality,[$cnf( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_4,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) )],[refute_0_3,theorem_8_71]) ).
cnf(refute_0_5,plain,
( age(sk2,sk3) != zero
| ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(subst,[],[assumption_13_47:[bind(A,$fot(sk2)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_6,plain,
( age(sk2,sk3) != zero
| zero != zero
| age(sk2,sk3) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(age(sk2,sk3),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_7,plain,
( zero != zero
| age(sk2,sk3) = zero ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),zero) )],[theorem_8_65,refute_0_6]) ).
cnf(refute_0_8,plain,
( zero != zero
| ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),zero) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_10,plain,
( ~ organization(sk2)
| is_aligned(sk2,sk3) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
is_aligned(sk2,sk3),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ is_aligned(sk2,sk3)
| ~ organization(sk2)
| hazard_of_mortality(sk2,sk3) = mod2
| has_immunity(sk2,sk3)
| positional_advantage(sk2,sk3) ),
inference(subst,[],[assumption_17_59:[bind(A,$fot(sk2)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_13,plain,
( ~ organization(sk2)
| hazard_of_mortality(sk2,sk3) = mod2
| has_immunity(sk2,sk3)
| positional_advantage(sk2,sk3) ),
inference(resolve,[$cnf( is_aligned(sk2,sk3) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( hazard_of_mortality(sk2,sk3) = mod2
| has_immunity(sk2,sk3)
| positional_advantage(sk2,sk3) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_13]) ).
cnf(refute_0_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( sigma != tau
| tau = sigma ),
inference(subst,[],[refute_0_17:[bind(X,$fot(sigma)),bind(Y,$fot(tau))]]) ).
cnf(refute_0_19,plain,
tau = sigma,
inference(resolve,[$cnf( $equal(sigma,tau) )],[theorem_8_68,refute_0_18]) ).
cnf(refute_0_20,plain,
( tau != sigma
| ~ smaller_or_equal(age(A,B),sigma)
| smaller_or_equal(age(A,B),tau) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(A,B),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_0_21,plain,
( ~ smaller_or_equal(age(A,B),sigma)
| smaller_or_equal(age(A,B),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ positional_advantage(A,B)
| ~ robust_position(A)
| ~ smaller_or_equal(age(A,B),sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(A,B),tau) )],[refute_0_21,definition_4_50]) ).
cnf(refute_0_23,plain,
( ~ positional_advantage(sk2,sk3)
| ~ robust_position(sk2)
| ~ smaller_or_equal(age(sk2,sk3),sigma) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(sk2)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_24,plain,
( age(sk2,sk3) != zero
| ~ smaller_or_equal(zero,sigma)
| smaller_or_equal(age(sk2,sk3),sigma) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(sk2,sk3),sigma) ),[0],$fot(zero)]]) ).
cnf(refute_0_25,plain,
( ~ smaller_or_equal(zero,sigma)
| smaller_or_equal(age(sk2,sk3),sigma) ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),zero) )],[theorem_8_65,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ positional_advantage(sk2,sk3)
| ~ robust_position(sk2)
| ~ smaller_or_equal(zero,sigma) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk3),sigma) )],[refute_0_25,refute_0_23]) ).
cnf(refute_0_27,plain,
( ~ positional_advantage(sk2,sk3)
| ~ smaller_or_equal(zero,sigma) ),
inference(resolve,[$cnf( robust_position(sk2) )],[theorem_8_63,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ smaller(zero,sigma)
| smaller_or_equal(zero,sigma) ),
inference(subst,[],[definition_smaller_or_equal_2:[bind(A,$fot(zero)),bind(B,$fot(sigma))]]) ).
cnf(refute_0_29,plain,
( ~ greater(sigma,zero)
| smaller(zero,sigma) ),
inference(subst,[],[definition_smaller_8:[bind(A,$fot(sigma)),bind(B,$fot(zero))]]) ).
cnf(refute_0_30,plain,
smaller(zero,sigma),
inference(resolve,[$cnf( greater(sigma,zero) )],[theorem_8_66,refute_0_29]) ).
cnf(refute_0_31,plain,
smaller_or_equal(zero,sigma),
inference(resolve,[$cnf( smaller(zero,sigma) )],[refute_0_30,refute_0_28]) ).
cnf(refute_0_32,plain,
~ positional_advantage(sk2,sk3),
inference(resolve,[$cnf( smaller_or_equal(zero,sigma) )],[refute_0_31,refute_0_27]) ).
cnf(refute_0_33,plain,
( hazard_of_mortality(sk2,sk3) = mod2
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( positional_advantage(sk2,sk3) )],[refute_0_14,refute_0_32]) ).
cnf(refute_0_34,plain,
( hazard_of_mortality(sk2,sk3) != mod2
| ~ smaller(hazard_of_mortality(sk2,sk5),mod2)
| smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),[1],$fot(mod2)]]) ).
cnf(refute_0_35,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),mod2)
| has_immunity(sk2,sk3)
| smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),mod2) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),mod2)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) )],[refute_0_35,refute_0_4]) ).
cnf(refute_0_37,plain,
( tau != sigma
| ~ greater(age(A,B),sigma)
| greater(age(A,B),tau) ),
introduced(tautology,[equality,[$cnf( ~ greater(age(A,B),tau) ),[1],$fot(sigma)]]) ).
cnf(refute_0_38,plain,
( ~ greater(age(A,B),sigma)
| greater(age(A,B),tau) ),
inference(resolve,[$cnf( $equal(tau,sigma) )],[refute_0_19,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ greater(age(A,B),sigma)
| ~ robust_position(A)
| positional_advantage(A,B) ),
inference(resolve,[$cnf( greater(age(A,B),tau) )],[refute_0_38,definition_4_51]) ).
cnf(refute_0_40,plain,
( ~ greater(age(sk2,sk5),sigma)
| ~ robust_position(sk2)
| positional_advantage(sk2,sk5) ),
inference(subst,[],[refute_0_39:[bind(A,$fot(sk2)),bind(B,$fot(sk5))]]) ).
cnf(refute_0_41,plain,
( ~ robust_position(sk2)
| positional_advantage(sk2,sk5) ),
inference(resolve,[$cnf( greater(age(sk2,sk5),sigma) )],[theorem_8_70,refute_0_40]) ).
cnf(refute_0_42,plain,
positional_advantage(sk2,sk5),
inference(resolve,[$cnf( robust_position(sk2) )],[theorem_8_63,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ organization(sk2)
| ~ positional_advantage(sk2,sk5)
| hazard_of_mortality(sk2,sk5) = mod1
| has_immunity(sk2,sk5)
| is_aligned(sk2,sk5) ),
inference(subst,[],[assumption_17_58:[bind(A,$fot(sk2)),bind(B,$fot(sk5))]]) ).
cnf(refute_0_44,plain,
( ~ organization(sk2)
| hazard_of_mortality(sk2,sk5) = mod1
| has_immunity(sk2,sk5)
| is_aligned(sk2,sk5) ),
inference(resolve,[$cnf( positional_advantage(sk2,sk5) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( hazard_of_mortality(sk2,sk5) = mod1
| has_immunity(sk2,sk5)
| is_aligned(sk2,sk5) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ dissimilar(sk2,sk3,sk5)
| ~ is_aligned(sk2,sk3)
| ~ is_aligned(sk2,sk5) ),
inference(subst,[],[definition_2_42:[bind(A,$fot(sk2)),bind(B,$fot(sk3)),bind(C,$fot(sk5))]]) ).
cnf(refute_0_47,plain,
( age(sk2,X_158) != zero
| ~ greater(age(sk2,sk5),sigma)
| ~ organization(sk2)
| dissimilar(sk2,X_158,sk5) ),
inference(subst,[],[assumption_15_48:[bind(A,$fot(sk2)),bind(B,$fot(X_158)),bind(C,$fot(sk5))]]) ).
cnf(refute_0_48,plain,
( age(sk2,X_158) != zero
| ~ organization(sk2)
| dissimilar(sk2,X_158,sk5) ),
inference(resolve,[$cnf( greater(age(sk2,sk5),sigma) )],[theorem_8_70,refute_0_47]) ).
cnf(refute_0_49,plain,
( age(sk2,X_158) != zero
| dissimilar(sk2,X_158,sk5) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_48]) ).
cnf(refute_0_50,plain,
( age(sk2,sk3) != zero
| dissimilar(sk2,sk3,sk5) ),
inference(subst,[],[refute_0_49:[bind(X_158,$fot(sk3))]]) ).
cnf(refute_0_51,plain,
( zero != zero
| dissimilar(sk2,sk3,sk5) ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),zero) )],[refute_0_7,refute_0_50]) ).
cnf(refute_0_52,plain,
dissimilar(sk2,sk3,sk5),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_9,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ is_aligned(sk2,sk3)
| ~ is_aligned(sk2,sk5) ),
inference(resolve,[$cnf( dissimilar(sk2,sk3,sk5) )],[refute_0_52,refute_0_46]) ).
cnf(refute_0_54,plain,
~ is_aligned(sk2,sk5),
inference(resolve,[$cnf( is_aligned(sk2,sk3) )],[refute_0_11,refute_0_53]) ).
cnf(refute_0_55,plain,
( hazard_of_mortality(sk2,sk5) = mod1
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( is_aligned(sk2,sk5) )],[refute_0_45,refute_0_54]) ).
cnf(refute_0_56,plain,
( hazard_of_mortality(sk2,sk5) != mod1
| ~ smaller(mod1,mod2)
| smaller(hazard_of_mortality(sk2,sk5),mod2) ),
introduced(tautology,[equality,[$cnf( ~ smaller(hazard_of_mortality(sk2,sk5),mod2) ),[0],$fot(mod1)]]) ).
cnf(refute_0_57,plain,
( ~ smaller(mod1,mod2)
| has_immunity(sk2,sk5)
| smaller(hazard_of_mortality(sk2,sk5),mod2) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk5),mod1) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(mod1,mod2)
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk5),mod2) )],[refute_0_57,refute_0_36]) ).
cnf(refute_0_59,plain,
( ~ greater(mod2,mod1)
| smaller(mod1,mod2) ),
inference(subst,[],[definition_smaller_8:[bind(A,$fot(mod2)),bind(B,$fot(mod1))]]) ).
cnf(refute_0_60,plain,
smaller(mod1,mod2),
inference(resolve,[$cnf( greater(mod2,mod1) )],[assumption_19_61,refute_0_59]) ).
cnf(refute_0_61,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( smaller(mod1,mod2) )],[refute_0_60,refute_0_58]) ).
cnf(refute_0_62,plain,
( hazard_of_mortality(sk2,sk3) != mod2
| hazard_of_mortality(sk2,sk4) != mod2
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),[1],$fot(mod2)]]) ).
cnf(refute_0_63,plain,
( hazard_of_mortality(sk2,sk4) != mod2
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),mod2) )],[refute_0_33,refute_0_62]) ).
cnf(refute_0_64,plain,
( hazard_of_mortality(sk2,sk4) != mod2
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_63,refute_0_61]) ).
cnf(refute_0_65,plain,
( ~ is_aligned(sk2,sk4)
| ~ organization(sk2)
| hazard_of_mortality(sk2,sk4) = mod2
| has_immunity(sk2,sk4)
| positional_advantage(sk2,sk4) ),
inference(subst,[],[assumption_17_59:[bind(A,$fot(sk2)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_66,plain,
( ~ positional_advantage(sk2,sk4)
| ~ robust_position(sk2)
| ~ smaller_or_equal(age(sk2,sk4),sigma) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(sk2)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_67,plain,
( ~ positional_advantage(sk2,sk4)
| ~ robust_position(sk2) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk4),sigma) )],[theorem_8_69,refute_0_66]) ).
cnf(refute_0_68,plain,
~ positional_advantage(sk2,sk4),
inference(resolve,[$cnf( robust_position(sk2) )],[theorem_8_63,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ greater(age(sk2,X_164),sigma)
| ~ robust_position(sk2)
| positional_advantage(sk2,X_164) ),
inference(subst,[],[refute_0_39:[bind(A,$fot(sk2)),bind(B,$fot(X_164))]]) ).
cnf(refute_0_70,plain,
( ~ is_aligned(sk2,sk3)
| ~ organization(sk2)
| dissimilar(sk2,sk3,X_115)
| is_aligned(sk2,X_115) ),
inference(subst,[],[definition_2_44:[bind(A,$fot(sk2)),bind(B,$fot(sk3)),bind(C,$fot(X_115))]]) ).
cnf(refute_0_71,plain,
( ~ organization(sk2)
| dissimilar(sk2,sk3,X_115)
| is_aligned(sk2,X_115) ),
inference(resolve,[$cnf( is_aligned(sk2,sk3) )],[refute_0_11,refute_0_70]) ).
cnf(refute_0_72,plain,
( dissimilar(sk2,sk3,X_115)
| is_aligned(sk2,X_115) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_71]) ).
cnf(refute_0_73,plain,
( dissimilar(sk2,sk3,X_163)
| is_aligned(sk2,X_163) ),
inference(subst,[],[refute_0_72:[bind(X_115,$fot(X_163))]]) ).
cnf(refute_0_74,plain,
( age(sk2,sk3) != zero
| ~ dissimilar(sk2,sk3,X_163)
| ~ organization(sk2)
| greater(age(sk2,X_163),sigma) ),
inference(subst,[],[assumption_15_49:[bind(A,$fot(sk2)),bind(B,$fot(sk3)),bind(C,$fot(X_163))]]) ).
cnf(refute_0_75,plain,
( age(sk2,sk3) != zero
| ~ organization(sk2)
| greater(age(sk2,X_163),sigma)
| is_aligned(sk2,X_163) ),
inference(resolve,[$cnf( dissimilar(sk2,sk3,X_163) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( zero != zero
| ~ organization(sk2)
| greater(age(sk2,X_163),sigma)
| is_aligned(sk2,X_163) ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),zero) )],[refute_0_7,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ organization(sk2)
| greater(age(sk2,X_163),sigma)
| is_aligned(sk2,X_163) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_9,refute_0_76]) ).
cnf(refute_0_78,plain,
( greater(age(sk2,X_163),sigma)
| is_aligned(sk2,X_163) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_77]) ).
cnf(refute_0_79,plain,
( greater(age(sk2,X_164),sigma)
| is_aligned(sk2,X_164) ),
inference(subst,[],[refute_0_78:[bind(X_163,$fot(X_164))]]) ).
cnf(refute_0_80,plain,
( ~ robust_position(sk2)
| is_aligned(sk2,X_164)
| positional_advantage(sk2,X_164) ),
inference(resolve,[$cnf( greater(age(sk2,X_164),sigma) )],[refute_0_79,refute_0_69]) ).
cnf(refute_0_81,plain,
( is_aligned(sk2,X_164)
| positional_advantage(sk2,X_164) ),
inference(resolve,[$cnf( robust_position(sk2) )],[theorem_8_63,refute_0_80]) ).
cnf(refute_0_82,plain,
( is_aligned(sk2,sk4)
| positional_advantage(sk2,sk4) ),
inference(subst,[],[refute_0_81:[bind(X_164,$fot(sk4))]]) ).
cnf(refute_0_83,plain,
is_aligned(sk2,sk4),
inference(resolve,[$cnf( positional_advantage(sk2,sk4) )],[refute_0_82,refute_0_68]) ).
cnf(refute_0_84,plain,
( ~ organization(sk2)
| hazard_of_mortality(sk2,sk4) = mod2
| has_immunity(sk2,sk4)
| positional_advantage(sk2,sk4) ),
inference(resolve,[$cnf( is_aligned(sk2,sk4) )],[refute_0_83,refute_0_65]) ).
cnf(refute_0_85,plain,
( hazard_of_mortality(sk2,sk4) = mod2
| has_immunity(sk2,sk4)
| positional_advantage(sk2,sk4) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_84]) ).
cnf(refute_0_86,plain,
( hazard_of_mortality(sk2,sk4) = mod2
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( positional_advantage(sk2,sk4) )],[refute_0_85,refute_0_68]) ).
cnf(refute_0_87,plain,
( hazard_of_mortality(sk2,sk4) != mod2
| mod2 != mod2
| hazard_of_mortality(sk2,sk4) = mod2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(sk2,sk4),mod2) ),[0],$fot(mod2)]]) ).
cnf(refute_0_88,plain,
( mod2 != mod2
| hazard_of_mortality(sk2,sk4) = mod2
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),mod2) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( mod2 != mod2
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk4)
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),mod2) )],[refute_0_88,refute_0_64]) ).
cnf(refute_0_90,plain,
mod2 = mod2,
introduced(tautology,[refl,[$fot(mod2)]]) ).
cnf(refute_0_91,plain,
( has_immunity(sk2,sk3)
| has_immunity(sk2,sk4)
| has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( $equal(mod2,mod2) )],[refute_0_90,refute_0_89]) ).
cnf(refute_0_92,plain,
( ~ organization(sk2)
| has_endowment(sk2)
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( has_immunity(sk2,sk5) )],[refute_0_91,refute_0_2]) ).
cnf(refute_0_93,plain,
( has_endowment(sk2)
| has_immunity(sk2,sk3)
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_92]) ).
cnf(refute_0_94,plain,
( has_immunity(sk2,sk3)
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[refute_0_93,theorem_8_64]) ).
cnf(refute_0_95,plain,
( ~ organization(sk2)
| has_endowment(sk2)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk4) )],[refute_0_94,refute_0_1]) ).
cnf(refute_0_96,plain,
( has_endowment(sk2)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_95]) ).
cnf(refute_0_97,plain,
has_immunity(sk2,sk3),
inference(resolve,[$cnf( has_endowment(sk2) )],[refute_0_96,theorem_8_64]) ).
cnf(refute_0_98,plain,
( ~ organization(sk2)
| has_endowment(sk2) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_97,refute_0_0]) ).
cnf(refute_0_99,plain,
has_endowment(sk2),
inference(resolve,[$cnf( organization(sk2) )],[theorem_8_62,refute_0_98]) ).
cnf(refute_0_100,plain,
$false,
inference(resolve,[$cnf( has_endowment(sk2) )],[refute_0_99,theorem_8_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 11:11:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51
%------------------------------------------------------------------------------