TSTP Solution File: MGT062-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT062-1 : 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 : 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 : 300s
% DateTime : Thu Aug 31 09:08:46 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 49
% Syntax : Number of formulae : 101 ( 33 unt; 26 typ; 0 def)
% Number of atoms : 156 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 153 ( 72 ~; 81 |; 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 : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 73 ( 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,
robust_position: $i > $o ).
tff(decl_35,type,
tau: $i ).
tff(decl_36,type,
positional_advantage: ( $i * $i ) > $o ).
tff(decl_37,type,
sk1: $i > $i ).
tff(decl_38,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_39,type,
very_low: $i ).
tff(decl_40,type,
low: $i ).
tff(decl_41,type,
mod1: $i ).
tff(decl_42,type,
mod2: $i ).
tff(decl_43,type,
high: $i ).
tff(decl_44,type,
sk2: $i ).
tff(decl_45,type,
sk3: $i ).
tff(decl_46,type,
sk4: $i ).
tff(decl_47,type,
sk5: $i ).
cnf(assumption_13_47,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
cnf(theorem_8_65,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_65) ).
cnf(theorem_8_62,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_62) ).
cnf(assumption_15_48,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_48) ).
cnf(theorem_8_68,negated_conjecture,
sigma = tau,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_68) ).
cnf(assumption_15_49,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).
cnf(definition_2_40,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
cnf(theorem_8_70,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_70) ).
cnf(definition_4_51,axiom,
( positional_advantage(X1,X2)
| ~ robust_position(X1)
| ~ greater(age(X1,X2),tau) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_51) ).
cnf(theorem_8_63,negated_conjecture,
robust_position(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_63) ).
cnf(definition_2_42,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
cnf(theorem_8_66,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_66) ).
cnf(definition_4_50,axiom,
( ~ robust_position(X1)
| ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_50) ).
cnf(theorem_8_69,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_69) ).
cnf(assumption_17_58,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_58) ).
cnf(assumption_17_59,axiom,
( has_immunity(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(assumption_1_39,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_39) ).
cnf(theorem_8_64,negated_conjecture,
~ has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_64) ).
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(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_71) ).
cnf(assumption_19_61,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19_61) ).
cnf(c_0_23,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
assumption_13_47 ).
cnf(c_0_24,negated_conjecture,
age(sk2,sk3) = zero,
theorem_8_65 ).
cnf(c_0_25,negated_conjecture,
organization(sk2),
theorem_8_62 ).
cnf(c_0_26,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
assumption_15_48 ).
cnf(c_0_27,negated_conjecture,
sigma = tau,
theorem_8_68 ).
cnf(c_0_28,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
assumption_15_49 ).
cnf(c_0_29,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
definition_2_40 ).
cnf(c_0_30,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_44 ).
cnf(c_0_31,negated_conjecture,
is_aligned(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_32,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),tau) ),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
greater(age(sk2,sk5),sigma),
theorem_8_70 ).
cnf(c_0_34,plain,
( greater(age(X1,X2),tau)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_27]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( is_aligned(sk2,X1)
| dissimilar(sk2,sk3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_25])]) ).
cnf(c_0_36,negated_conjecture,
( dissimilar(sk2,sk3,X1)
| ~ greater(age(sk2,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_25])]) ).
cnf(c_0_37,negated_conjecture,
greater(age(sk2,sk5),tau),
inference(rw,[status(thm)],[c_0_33,c_0_27]) ).
cnf(c_0_38,axiom,
( positional_advantage(X1,X2)
| ~ robust_position(X1)
| ~ greater(age(X1,X2),tau) ),
definition_4_51 ).
cnf(c_0_39,negated_conjecture,
( is_aligned(sk2,X1)
| greater(age(sk2,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_24])]) ).
cnf(c_0_40,negated_conjecture,
robust_position(sk2),
theorem_8_63 ).
cnf(c_0_41,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_42 ).
cnf(c_0_42,negated_conjecture,
dissimilar(sk2,sk3,sk5),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
greater(sigma,zero),
theorem_8_66 ).
cnf(c_0_44,axiom,
( ~ robust_position(X1)
| ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2) ),
definition_4_50 ).
cnf(c_0_45,negated_conjecture,
( positional_advantage(sk2,X1)
| is_aligned(sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_46,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
theorem_8_69 ).
cnf(c_0_47,axiom,
( has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ organization(X1)
| ~ positional_advantage(X1,X2) ),
assumption_17_58 ).
cnf(c_0_48,negated_conjecture,
positional_advantage(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_40])]) ).
cnf(c_0_49,negated_conjecture,
~ is_aligned(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31])]) ).
cnf(c_0_50,axiom,
( has_immunity(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
assumption_17_59 ).
cnf(c_0_51,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_52,negated_conjecture,
greater(tau,zero),
inference(rw,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_53,negated_conjecture,
( is_aligned(sk2,X1)
| ~ smaller_or_equal(age(sk2,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_40])]) ).
cnf(c_0_54,negated_conjecture,
smaller_or_equal(age(sk2,sk4),tau),
inference(rw,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_55,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_1_39 ).
cnf(c_0_56,negated_conjecture,
( hazard_of_mortality(sk2,sk5) = mod1
| has_immunity(sk2,sk5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25])]),c_0_49]) ).
cnf(c_0_57,negated_conjecture,
~ has_endowment(sk2),
theorem_8_64 ).
cnf(c_0_58,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = mod2
| positional_advantage(sk2,sk3)
| has_immunity(sk2,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_25])]) ).
cnf(c_0_59,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_60,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
is_aligned(sk2,sk4),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
theorem_8_71 ).
cnf(c_0_63,negated_conjecture,
hazard_of_mortality(sk2,sk5) = mod1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_25])]),c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = mod2
| positional_advantage(sk2,sk3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_25])]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( hazard_of_mortality(sk2,sk4) = mod2
| positional_advantage(sk2,sk4)
| has_immunity(sk2,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_61]),c_0_25])]) ).
cnf(c_0_67,negated_conjecture,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ smaller(mod1,hazard_of_mortality(sk2,sk4)) ),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
hazard_of_mortality(sk2,sk3) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_64]),c_0_40]),c_0_24]),c_0_65])]) ).
cnf(c_0_69,negated_conjecture,
( hazard_of_mortality(sk2,sk4) = mod2
| positional_advantage(sk2,sk4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_66]),c_0_25])]),c_0_57]) ).
cnf(c_0_70,axiom,
greater(mod2,mod1),
assumption_19_61 ).
cnf(c_0_71,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != mod2
| ~ smaller(mod1,hazard_of_mortality(sk2,sk4)) ),
inference(rw,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
hazard_of_mortality(sk2,sk4) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_69]),c_0_40]),c_0_54])]) ).
cnf(c_0_73,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_51,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_72]),c_0_73])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT062-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:30:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.013000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.016000 s
%------------------------------------------------------------------------------