TSTP Solution File: MGT060-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 22:19:58 EDT 2022
% Result : Unsatisfiable 0.37s 0.56s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of clauses : 80 ( 19 unt; 31 nHn; 68 RR)
% Number of literals : 236 ( 87 equ; 77 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(A,B)
| ~ greater(B,A) ) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ) ).
cnf(assumption_17_32,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| hazard_of_mortality(A,B) = very_low ) ).
cnf(assumption_17_33,axiom,
( ~ organization(A)
| has_immunity(A,B)
| ~ is_aligned(A,B)
| ~ positional_advantage(A,B)
| hazard_of_mortality(A,B) = low ) ).
cnf(assumption_17_34,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| ~ positional_advantage(A,B)
| hazard_of_mortality(A,B) = mod1 ) ).
cnf(assumption_17_35,axiom,
( ~ organization(A)
| has_immunity(A,B)
| ~ is_aligned(A,B)
| positional_advantage(A,B)
| hazard_of_mortality(A,B) = mod2 ) ).
cnf(assumption_17_36,axiom,
( ~ organization(A)
| has_immunity(A,B)
| is_aligned(A,B)
| positional_advantage(A,B)
| hazard_of_mortality(A,B) = high ) ).
cnf(assumption_18a_37,axiom,
greater(high,mod1) ).
cnf(assumption_18b_38,axiom,
greater(mod1,low) ).
cnf(assumption_18c_39,axiom,
greater(low,very_low) ).
cnf(assumption_18e_41,axiom,
greater(mod2,low) ).
cnf(assumption_3_42,negated_conjecture,
organization(sk1) ).
cnf(assumption_3_43,negated_conjecture,
has_immunity(sk1,sk2) ).
cnf(assumption_3_44,negated_conjecture,
~ has_immunity(sk1,sk3) ).
cnf(assumption_3_45,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ).
cnf(refute_0_0,plain,
( ~ has_immunity(sk1,sk2)
| ~ organization(sk1)
| hazard_of_mortality(sk1,sk2) = very_low ),
inference(subst,[],[assumption_17_32:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,sk2) = very_low ),
inference(resolve,[$cnf( has_immunity(sk1,sk2) )],[assumption_3_43,refute_0_0]) ).
cnf(refute_0_2,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(resolve,[$cnf( organization(sk1) )],[assumption_3_42,refute_0_1]) ).
cnf(refute_0_3,plain,
( hazard_of_mortality(sk1,sk2) != very_low
| ~ greater(hazard_of_mortality(sk1,sk3),very_low)
| greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),[1],$fot(very_low)]]) ).
cnf(refute_0_4,plain,
( ~ greater(hazard_of_mortality(sk1,sk3),very_low)
| greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk2),very_low) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
~ greater(hazard_of_mortality(sk1,sk3),very_low),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) )],[refute_0_4,assumption_3_45]) ).
cnf(refute_0_6,plain,
( ~ organization(sk1)
| ~ positional_advantage(sk1,X_157)
| hazard_of_mortality(sk1,X_157) = mod1
| has_immunity(sk1,X_157)
| is_aligned(sk1,X_157) ),
inference(subst,[],[assumption_17_34:[bind(A,$fot(sk1)),bind(B,$fot(X_157))]]) ).
cnf(refute_0_7,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,X_156) = high
| has_immunity(sk1,X_156)
| is_aligned(sk1,X_156)
| positional_advantage(sk1,X_156) ),
inference(subst,[],[assumption_17_36:[bind(A,$fot(sk1)),bind(B,$fot(X_156))]]) ).
cnf(refute_0_8,plain,
( hazard_of_mortality(sk1,X_156) = high
| has_immunity(sk1,X_156)
| is_aligned(sk1,X_156)
| positional_advantage(sk1,X_156) ),
inference(resolve,[$cnf( organization(sk1) )],[assumption_3_42,refute_0_7]) ).
cnf(refute_0_9,plain,
( hazard_of_mortality(sk1,X_157) = high
| has_immunity(sk1,X_157)
| is_aligned(sk1,X_157)
| positional_advantage(sk1,X_157) ),
inference(subst,[],[refute_0_8:[bind(X_156,$fot(X_157))]]) ).
cnf(refute_0_10,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,X_157) = high
| hazard_of_mortality(sk1,X_157) = mod1
| has_immunity(sk1,X_157)
| is_aligned(sk1,X_157) ),
inference(resolve,[$cnf( positional_advantage(sk1,X_157) )],[refute_0_9,refute_0_6]) ).
cnf(refute_0_11,plain,
( hazard_of_mortality(sk1,X_157) = high
| hazard_of_mortality(sk1,X_157) = mod1
| has_immunity(sk1,X_157)
| is_aligned(sk1,X_157) ),
inference(resolve,[$cnf( organization(sk1) )],[assumption_3_42,refute_0_10]) ).
cnf(refute_0_12,plain,
( hazard_of_mortality(sk1,X_204) = high
| hazard_of_mortality(sk1,X_204) = mod1
| has_immunity(sk1,X_204)
| is_aligned(sk1,X_204) ),
inference(subst,[],[refute_0_11:[bind(X_157,$fot(X_204))]]) ).
cnf(refute_0_13,plain,
( ~ is_aligned(sk1,X_159)
| ~ organization(sk1)
| ~ positional_advantage(sk1,X_159)
| hazard_of_mortality(sk1,X_159) = low
| has_immunity(sk1,X_159) ),
inference(subst,[],[assumption_17_33:[bind(A,$fot(sk1)),bind(B,$fot(X_159))]]) ).
cnf(refute_0_14,plain,
( ~ is_aligned(sk1,X_158)
| ~ organization(sk1)
| hazard_of_mortality(sk1,X_158) = mod2
| has_immunity(sk1,X_158)
| positional_advantage(sk1,X_158) ),
inference(subst,[],[assumption_17_35:[bind(A,$fot(sk1)),bind(B,$fot(X_158))]]) ).
cnf(refute_0_15,plain,
( hazard_of_mortality(sk1,X_158) = high
| hazard_of_mortality(sk1,X_158) = mod1
| has_immunity(sk1,X_158)
| is_aligned(sk1,X_158) ),
inference(subst,[],[refute_0_11:[bind(X_157,$fot(X_158))]]) ).
cnf(refute_0_16,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,X_158) = high
| hazard_of_mortality(sk1,X_158) = mod1
| hazard_of_mortality(sk1,X_158) = mod2
| has_immunity(sk1,X_158)
| positional_advantage(sk1,X_158) ),
inference(resolve,[$cnf( is_aligned(sk1,X_158) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( hazard_of_mortality(sk1,X_158) = high
| hazard_of_mortality(sk1,X_158) = mod1
| hazard_of_mortality(sk1,X_158) = mod2
| has_immunity(sk1,X_158)
| positional_advantage(sk1,X_158) ),
inference(resolve,[$cnf( organization(sk1) )],[assumption_3_42,refute_0_16]) ).
cnf(refute_0_18,plain,
( hazard_of_mortality(sk1,X_159) = high
| hazard_of_mortality(sk1,X_159) = mod1
| hazard_of_mortality(sk1,X_159) = mod2
| has_immunity(sk1,X_159)
| positional_advantage(sk1,X_159) ),
inference(subst,[],[refute_0_17:[bind(X_158,$fot(X_159))]]) ).
cnf(refute_0_19,plain,
( ~ is_aligned(sk1,X_159)
| ~ organization(sk1)
| hazard_of_mortality(sk1,X_159) = high
| hazard_of_mortality(sk1,X_159) = low
| hazard_of_mortality(sk1,X_159) = mod1
| hazard_of_mortality(sk1,X_159) = mod2
| has_immunity(sk1,X_159) ),
inference(resolve,[$cnf( positional_advantage(sk1,X_159) )],[refute_0_18,refute_0_13]) ).
cnf(refute_0_20,plain,
( ~ is_aligned(sk1,X_159)
| hazard_of_mortality(sk1,X_159) = high
| hazard_of_mortality(sk1,X_159) = low
| hazard_of_mortality(sk1,X_159) = mod1
| hazard_of_mortality(sk1,X_159) = mod2
| has_immunity(sk1,X_159) ),
inference(resolve,[$cnf( organization(sk1) )],[assumption_3_42,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ is_aligned(sk1,X_204)
| hazard_of_mortality(sk1,X_204) = high
| hazard_of_mortality(sk1,X_204) = low
| hazard_of_mortality(sk1,X_204) = mod1
| hazard_of_mortality(sk1,X_204) = mod2
| has_immunity(sk1,X_204) ),
inference(subst,[],[refute_0_20:[bind(X_159,$fot(X_204))]]) ).
cnf(refute_0_22,plain,
( hazard_of_mortality(sk1,X_204) = high
| hazard_of_mortality(sk1,X_204) = low
| hazard_of_mortality(sk1,X_204) = mod1
| hazard_of_mortality(sk1,X_204) = mod2
| has_immunity(sk1,X_204) ),
inference(resolve,[$cnf( is_aligned(sk1,X_204) )],[refute_0_12,refute_0_21]) ).
cnf(refute_0_23,plain,
( hazard_of_mortality(sk1,sk3) = high
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1
| hazard_of_mortality(sk1,sk3) = mod2
| has_immunity(sk1,sk3) ),
inference(subst,[],[refute_0_22:[bind(X_204,$fot(sk3))]]) ).
cnf(refute_0_24,plain,
( hazard_of_mortality(sk1,sk3) != mod2
| ~ greater(mod2,very_low)
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk1,sk3),very_low) ),[0],$fot(mod2)]]) ).
cnf(refute_0_25,plain,
( ~ greater(mod2,very_low)
| hazard_of_mortality(sk1,sk3) = high
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1
| greater(hazard_of_mortality(sk1,sk3),very_low)
| has_immunity(sk1,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),mod2) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ greater(mod2,very_low)
| hazard_of_mortality(sk1,sk3) = high
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1
| has_immunity(sk1,sk3) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_25,refute_0_5]) ).
cnf(refute_0_27,plain,
( ~ greater(low,X_27)
| ~ greater(mod2,low)
| greater(mod2,X_27) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(mod2)),bind(B,$fot(low)),bind(C,$fot(X_27))]]) ).
cnf(refute_0_28,plain,
( ~ greater(low,X_27)
| greater(mod2,X_27) ),
inference(resolve,[$cnf( greater(mod2,low) )],[assumption_18e_41,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ greater(low,very_low)
| greater(mod2,very_low) ),
inference(subst,[],[refute_0_28:[bind(X_27,$fot(very_low))]]) ).
cnf(refute_0_30,plain,
greater(mod2,very_low),
inference(resolve,[$cnf( greater(low,very_low) )],[assumption_18c_39,refute_0_29]) ).
cnf(refute_0_31,plain,
( hazard_of_mortality(sk1,sk3) = high
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1
| has_immunity(sk1,sk3) ),
inference(resolve,[$cnf( greater(mod2,very_low) )],[refute_0_30,refute_0_26]) ).
cnf(refute_0_32,plain,
( hazard_of_mortality(sk1,sk3) = high
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1 ),
inference(resolve,[$cnf( has_immunity(sk1,sk3) )],[refute_0_31,assumption_3_44]) ).
cnf(refute_0_33,plain,
( hazard_of_mortality(sk1,sk3) != high
| ~ greater(high,very_low)
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk1,sk3),very_low) ),[0],$fot(high)]]) ).
cnf(refute_0_34,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),high) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1 ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_34,refute_0_5]) ).
cnf(refute_0_36,plain,
( ~ greater(X_25,low)
| ~ greater(low,very_low)
| greater(X_25,very_low) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(X_25)),bind(B,$fot(low)),bind(C,$fot(very_low))]]) ).
cnf(refute_0_37,plain,
( ~ greater(X_25,low)
| greater(X_25,very_low) ),
inference(resolve,[$cnf( greater(low,very_low) )],[assumption_18c_39,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ greater(high,low)
| greater(high,very_low) ),
inference(subst,[],[refute_0_37:[bind(X_25,$fot(high))]]) ).
cnf(refute_0_39,plain,
( ~ greater(X_25,mod1)
| ~ greater(mod1,low)
| greater(X_25,low) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(X_25)),bind(B,$fot(mod1)),bind(C,$fot(low))]]) ).
cnf(refute_0_40,plain,
( ~ greater(X_25,mod1)
| greater(X_25,low) ),
inference(resolve,[$cnf( greater(mod1,low) )],[assumption_18b_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ greater(high,mod1)
| greater(high,low) ),
inference(subst,[],[refute_0_40:[bind(X_25,$fot(high))]]) ).
cnf(refute_0_42,plain,
greater(high,low),
inference(resolve,[$cnf( greater(high,mod1) )],[assumption_18a_37,refute_0_41]) ).
cnf(refute_0_43,plain,
greater(high,very_low),
inference(resolve,[$cnf( greater(high,low) )],[refute_0_42,refute_0_38]) ).
cnf(refute_0_44,plain,
( hazard_of_mortality(sk1,sk3) = low
| hazard_of_mortality(sk1,sk3) = mod1 ),
inference(resolve,[$cnf( greater(high,very_low) )],[refute_0_43,refute_0_35]) ).
cnf(refute_0_45,plain,
( hazard_of_mortality(sk1,sk3) != mod1
| ~ greater(mod1,very_low)
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk1,sk3),very_low) ),[0],$fot(mod1)]]) ).
cnf(refute_0_46,plain,
( ~ greater(mod1,very_low)
| hazard_of_mortality(sk1,sk3) = low
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),mod1) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ greater(mod1,very_low)
| hazard_of_mortality(sk1,sk3) = low ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_46,refute_0_5]) ).
cnf(refute_0_48,plain,
( hazard_of_mortality(sk1,sk3) != low
| ~ greater(low,very_low)
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk1,sk3),very_low) ),[0],$fot(low)]]) ).
cnf(refute_0_49,plain,
( ~ greater(low,very_low)
| hazard_of_mortality(sk1,sk3) = mod1
| greater(hazard_of_mortality(sk1,sk3),very_low) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),low) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ greater(low,very_low)
| hazard_of_mortality(sk1,sk3) = mod1 ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_49,refute_0_5]) ).
cnf(refute_0_51,plain,
hazard_of_mortality(sk1,sk3) = mod1,
inference(resolve,[$cnf( greater(low,very_low) )],[assumption_18c_39,refute_0_50]) ).
cnf(refute_0_52,plain,
( hazard_of_mortality(sk1,sk3) != low
| hazard_of_mortality(sk1,sk3) != mod1
| mod1 = low ),
introduced(tautology,[equality,[$cnf( $equal(hazard_of_mortality(sk1,sk3),low) ),[0],$fot(mod1)]]) ).
cnf(refute_0_53,plain,
( hazard_of_mortality(sk1,sk3) != low
| mod1 = low ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),mod1) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ greater(mod1,very_low)
| mod1 = low ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),low) )],[refute_0_47,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ greater(low,X_27)
| ~ greater(mod1,low)
| greater(mod1,X_27) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(mod1)),bind(B,$fot(low)),bind(C,$fot(X_27))]]) ).
cnf(refute_0_56,plain,
( ~ greater(low,X_27)
| greater(mod1,X_27) ),
inference(resolve,[$cnf( greater(mod1,low) )],[assumption_18b_38,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ greater(low,very_low)
| greater(mod1,very_low) ),
inference(subst,[],[refute_0_56:[bind(X_27,$fot(very_low))]]) ).
cnf(refute_0_58,plain,
greater(mod1,very_low),
inference(resolve,[$cnf( greater(low,very_low) )],[assumption_18c_39,refute_0_57]) ).
cnf(refute_0_59,plain,
mod1 = low,
inference(resolve,[$cnf( greater(mod1,very_low) )],[refute_0_58,refute_0_54]) ).
cnf(refute_0_60,plain,
( mod1 != low
| ~ greater(mod1,low)
| greater(low,low) ),
introduced(tautology,[equality,[$cnf( greater(mod1,low) ),[0],$fot(low)]]) ).
cnf(refute_0_61,plain,
( ~ greater(mod1,low)
| greater(low,low) ),
inference(resolve,[$cnf( $equal(mod1,low) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
greater(low,low),
inference(resolve,[$cnf( greater(mod1,low) )],[assumption_18b_38,refute_0_61]) ).
cnf(refute_0_63,plain,
~ greater(low,low),
inference(subst,[],[meaning_postulate_greater_strict_9:[bind(A,$fot(low)),bind(B,$fot(low))]]) ).
cnf(refute_0_64,plain,
$false,
inference(resolve,[$cnf( greater(low,low) )],[refute_0_62,refute_0_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.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 08:48:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.37/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.56
% 0.37/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.37/0.56
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