TSTP Solution File: MGT065-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT065-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 09:08:47 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 51
% Syntax : Number of formulae : 96 ( 38 unt; 28 typ; 0 def)
% Number of atoms : 129 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 118 ( 57 ~; 61 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 15 >; 11 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 55 ( 0 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,
has_endowment: $i > $o ).
tff(decl_27,type,
organization: $i > $o ).
tff(decl_28,type,
age: ( $i * $i ) > $i ).
tff(decl_29,type,
eta: $i ).
tff(decl_30,type,
has_immunity: ( $i * $i ) > $o ).
tff(decl_31,type,
sk1: $i > $i ).
tff(decl_32,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_34,type,
zero: $i ).
tff(decl_35,type,
sigma: $i ).
tff(decl_36,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_37,type,
very_low: $i ).
tff(decl_38,type,
positional_advantage: ( $i * $i ) > $o ).
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,
robust_position: $i > $o ).
tff(decl_45,type,
fragile_position: $i > $o ).
tff(decl_46,type,
sk3: $i ).
tff(decl_47,type,
tau: $i ).
tff(decl_48,type,
sk4: $i ).
tff(decl_49,type,
sk5: $i ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(theorem_11_73,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_73) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(definition_1_41,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).
cnf(theorem_11_70,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_70) ).
cnf(theorem_11_69,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_69) ).
cnf(assumption_17_57,axiom,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_57) ).
cnf(theorem_11_67,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_67) ).
cnf(theorem_11_76,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_76) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(assumption_18e_66,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e_66) ).
cnf(theorem_11_80,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/sandbox2/benchmark/theBenchmark.p',theorem_11_80) ).
cnf(assumption_18c_64,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c_64) ).
cnf(assumption_18d_65,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d_65) ).
cnf(assumption_15_55,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_55) ).
cnf(assumption_17_59,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ organization(X1)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).
cnf(assumption_17_61,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_61) ).
cnf(definition_1_42,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
cnf(theorem_11_79,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_79) ).
cnf(theorem_11_77,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_11_77) ).
cnf(assumption_13_54,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
cnf(definition_2_49,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
cnf(assumption_18b_63,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_63) ).
cnf(c_0_23,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_24,negated_conjecture,
greater(eta,zero),
theorem_11_73 ).
cnf(c_0_25,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_26,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
definition_1_41 ).
cnf(c_0_28,negated_conjecture,
age(sk2,sk3) = zero,
theorem_11_70 ).
cnf(c_0_29,negated_conjecture,
has_endowment(sk2),
theorem_11_69 ).
cnf(c_0_30,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,axiom,
( hazard_of_mortality(X1,X2) = very_low
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_17_57 ).
cnf(c_0_32,negated_conjecture,
has_immunity(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_33,negated_conjecture,
organization(sk2),
theorem_11_67 ).
cnf(c_0_34,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
theorem_11_76 ).
cnf(c_0_35,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_36,axiom,
greater(mod2,low),
assumption_18e_66 ).
cnf(c_0_37,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
theorem_11_80 ).
cnf(c_0_38,negated_conjecture,
hazard_of_mortality(sk2,sk3) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_39,negated_conjecture,
has_immunity(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_29])]) ).
cnf(c_0_40,axiom,
greater(low,very_low),
assumption_18c_64 ).
cnf(c_0_41,plain,
( greater(X1,low)
| ~ greater(X1,mod2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,axiom,
greater(high,mod2),
assumption_18d_65 ).
cnf(c_0_43,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
assumption_15_55 ).
cnf(c_0_44,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != very_low
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
hazard_of_mortality(sk2,sk4) = very_low,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_33])]) ).
cnf(c_0_46,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ organization(X1)
| ~ positional_advantage(X1,X2) ),
assumption_17_59 ).
cnf(c_0_47,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = high
| ~ organization(X1) ),
assumption_17_61 ).
cnf(c_0_48,plain,
( greater(X1,very_low)
| ~ greater(X1,low) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_49,plain,
greater(high,low),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
definition_1_42 ).
cnf(c_0_51,negated_conjecture,
greater(age(sk2,sk5),eta),
theorem_11_79 ).
cnf(c_0_52,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_43,c_0_28]),c_0_33])]) ).
cnf(c_0_53,negated_conjecture,
greater(age(sk2,sk5),sigma),
theorem_11_77 ).
cnf(c_0_54,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
assumption_13_54 ).
cnf(c_0_55,negated_conjecture,
~ greater(hazard_of_mortality(sk2,sk5),very_low),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45])]) ).
cnf(c_0_56,plain,
( hazard_of_mortality(X1,X2) = high
| hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
greater(high,very_low),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
~ has_immunity(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29])]) ).
cnf(c_0_59,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_49 ).
cnf(c_0_60,negated_conjecture,
dissimilar(sk2,sk3,sk5),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
is_aligned(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_33])]) ).
cnf(c_0_62,negated_conjecture,
( hazard_of_mortality(sk2,sk5) = mod1
| is_aligned(sk2,sk5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_33])]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
~ is_aligned(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_64,axiom,
greater(mod1,low),
assumption_18b_63 ).
cnf(c_0_65,negated_conjecture,
hazard_of_mortality(sk2,sk5) = mod1,
inference(sr,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
greater(mod1,very_low),
inference(spm,[status(thm)],[c_0_48,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_65]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT065-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:11:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.60 % Total time : 0.017000 s
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time : 0.021000 s
%------------------------------------------------------------------------------