TSTP Solution File: MGT061-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT061-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : 300s
% DateTime : Thu Aug 31 09:08:45 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 49
% Syntax : Number of formulae : 99 ( 32 unt; 25 typ; 0 def)
% Number of atoms : 157 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 76 ~; 83 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 79 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
smaller: ( $i * $i ) > $o ).
tff(decl_24,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
organization: $i > $o ).
tff(decl_27,type,
has_endowment: $i > $o ).
tff(decl_28,type,
has_immunity: ( $i * $i ) > $o ).
tff(decl_29,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_31,type,
age: ( $i * $i ) > $i ).
tff(decl_32,type,
zero: $i ).
tff(decl_33,type,
sigma: $i ).
tff(decl_34,type,
fragile_position: $i > $o ).
tff(decl_35,type,
positional_advantage: ( $i * $i ) > $o ).
tff(decl_36,type,
sk1: $i > $i ).
tff(decl_37,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_38,type,
very_low: $i ).
tff(decl_39,type,
low: $i ).
tff(decl_40,type,
mod1: $i ).
tff(decl_41,type,
mod2: $i ).
tff(decl_42,type,
high: $i ).
tff(decl_43,type,
sk2: $i ).
tff(decl_44,type,
sk3: $i ).
tff(decl_45,type,
sk4: $i ).
tff(decl_46,type,
sk5: $i ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(theorem_7_70,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_70) ).
cnf(assumption_13_47,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_47) ).
cnf(theorem_7_69,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_69) ).
cnf(theorem_7_66,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_66) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(assumption_15_49,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_49) ).
cnf(definition_2_40,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_40) ).
cnf(definition_2_44,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_44) ).
cnf(definition_3_50,axiom,
( positional_advantage(X1,X2)
| ~ fragile_position(X1)
| ~ smaller_or_equal(age(X1,X2),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_50) ).
cnf(theorem_7_67,negated_conjecture,
fragile_position(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_67) ).
cnf(assumption_15_48,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_48) ).
cnf(assumption_17_57,axiom,
( has_immunity(X1,X2)
| hazard_of_mortality(X1,X2) = low
| ~ organization(X1)
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).
cnf(assumption_1_39,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_39) ).
cnf(assumption_17_60,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).
cnf(theorem_7_72,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_72) ).
cnf(definition_3_51,axiom,
( ~ fragile_position(X1)
| ~ greater(age(X1,X2),sigma)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_51) ).
cnf(theorem_7_71,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_71) ).
cnf(theorem_7_68,negated_conjecture,
~ has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_68) ).
cnf(definition_2_42,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_42) ).
cnf(theorem_7_73,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_73) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(assumption_18e_65,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_65) ).
cnf(assumption_18d_64,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_64) ).
cnf(c_0_24,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_25,negated_conjecture,
greater(sigma,zero),
theorem_7_70 ).
cnf(c_0_26,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
assumption_13_47 ).
cnf(c_0_27,negated_conjecture,
age(sk2,sk3) = zero,
theorem_7_69 ).
cnf(c_0_28,negated_conjecture,
organization(sk2),
theorem_7_66 ).
cnf(c_0_29,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_30,negated_conjecture,
smaller(zero,sigma),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
assumption_15_49 ).
cnf(c_0_32,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
definition_2_40 ).
cnf(c_0_33,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_44 ).
cnf(c_0_34,negated_conjecture,
is_aligned(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_35,axiom,
( positional_advantage(X1,X2)
| ~ fragile_position(X1)
| ~ smaller_or_equal(age(X1,X2),sigma) ),
definition_3_50 ).
cnf(c_0_36,negated_conjecture,
fragile_position(sk2),
theorem_7_67 ).
cnf(c_0_37,negated_conjecture,
smaller_or_equal(zero,sigma),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
assumption_15_48 ).
cnf(c_0_39,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( is_aligned(sk2,X1)
| dissimilar(sk2,sk3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]) ).
cnf(c_0_41,axiom,
( has_immunity(X1,X2)
| hazard_of_mortality(X1,X2) = low
| ~ organization(X1)
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2) ),
assumption_17_57 ).
cnf(c_0_42,negated_conjecture,
positional_advantage(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_36]),c_0_37])]) ).
cnf(c_0_43,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_1_39 ).
cnf(c_0_44,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
assumption_17_60 ).
cnf(c_0_45,negated_conjecture,
( dissimilar(sk2,sk3,X1)
| ~ greater(age(sk2,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_28])]) ).
cnf(c_0_46,negated_conjecture,
greater(age(sk2,sk5),sigma),
theorem_7_72 ).
cnf(c_0_47,axiom,
( ~ fragile_position(X1)
| ~ greater(age(X1,X2),sigma)
| ~ positional_advantage(X1,X2) ),
definition_3_51 ).
cnf(c_0_48,negated_conjecture,
( is_aligned(sk2,X1)
| greater(age(sk2,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_27])]) ).
cnf(c_0_49,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
theorem_7_71 ).
cnf(c_0_50,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = low
| has_immunity(sk2,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_34]),c_0_42]),c_0_28])]) ).
cnf(c_0_51,negated_conjecture,
~ has_endowment(sk2),
theorem_7_68 ).
cnf(c_0_52,plain,
( hazard_of_mortality(X1,X2) = high
| positional_advantage(X1,X2)
| is_aligned(X1,X2)
| has_endowment(X1)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_42 ).
cnf(c_0_54,negated_conjecture,
dissimilar(sk2,sk3,sk5),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( is_aligned(sk2,X1)
| ~ positional_advantage(sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_36])]) ).
cnf(c_0_56,negated_conjecture,
positional_advantage(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_36])]) ).
cnf(c_0_57,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
theorem_7_73 ).
cnf(c_0_58,negated_conjecture,
hazard_of_mortality(sk2,sk3) = low,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_50]),c_0_28])]),c_0_51]) ).
cnf(c_0_59,negated_conjecture,
~ positional_advantage(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_36])]) ).
cnf(c_0_60,negated_conjecture,
( hazard_of_mortality(sk2,X1) = high
| positional_advantage(sk2,X1)
| is_aligned(sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_28])]) ).
cnf(c_0_61,negated_conjecture,
~ is_aligned(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_34])]) ).
cnf(c_0_62,negated_conjecture,
is_aligned(sk2,sk4),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_64,axiom,
greater(mod2,low),
assumption_18e_65 ).
cnf(c_0_65,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != low
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
hazard_of_mortality(sk2,sk5) = high,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( hazard_of_mortality(sk2,sk4) = low
| has_immunity(sk2,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_62]),c_0_56]),c_0_28])]) ).
cnf(c_0_68,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,axiom,
greater(high,mod2),
assumption_18d_64 ).
cnf(c_0_70,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != low
| ~ greater(high,hazard_of_mortality(sk2,sk4)) ),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
hazard_of_mortality(sk2,sk4) = low,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_67]),c_0_28])]),c_0_51]) ).
cnf(c_0_72,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT061-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:40:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.015000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.019000 s
%------------------------------------------------------------------------------