TSTP Solution File: MGT050-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT050-1 : 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 : n007.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 09:08:40 EDT 2023
% Result : Unsatisfiable 6.36s 6.49s
% Output : CNFRefutation 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of formulae : 76 ( 15 unt; 17 typ; 0 def)
% Number of atoms : 163 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 177 ( 73 ~; 104 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 14 >; 12 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 27 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,
capability: ( $i * $i ) > $i ).
tff(decl_30,type,
position: ( $i * $i ) > $i ).
tff(decl_31,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_32,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(decl_33,type,
internal_friction: ( $i * $i ) > $i ).
tff(decl_34,type,
external_ties: ( $i * $i ) > $i ).
tff(decl_35,type,
age: ( $i * $i ) > $i ).
tff(decl_36,type,
sk1: $i ).
tff(decl_37,type,
sk3: $i ).
tff(decl_38,type,
sk2: $i ).
cnf(assumption_5_46,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_46) ).
cnf(assumption_10_50,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10_50) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(assumption_4_43,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater_or_equal(capability(X1,X3),capability(X1,X2))
| ~ greater(position(X1,X3),position(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_43) ).
cnf(assumption_12_52,axiom,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12_52) ).
cnf(theorem_3_55,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_55) ).
cnf(theorem_3_53,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_53) ).
cnf(definition_greater_or_equal_5,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
cnf(theorem_3_56,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_56) ).
cnf(assumption_6_49,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_49) ).
cnf(assumption_11_51,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_51) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(assumption_4_42,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_42) ).
cnf(assumption_1_41,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).
cnf(theorem_3_54,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_54) ).
cnf(definition_greater_or_equal_6,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(c_0_17,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
assumption_5_46 ).
cnf(c_0_18,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
assumption_10_50 ).
cnf(c_0_19,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3 ).
cnf(c_0_20,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_22,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_23,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater_or_equal(capability(X1,X3),capability(X1,X2))
| ~ greater(position(X1,X3),position(X1,X2)) ),
assumption_4_43 ).
cnf(c_0_24,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
assumption_12_52 ).
cnf(c_0_26,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
theorem_3_55 ).
cnf(c_0_27,negated_conjecture,
organization(sk1),
theorem_3_53 ).
cnf(c_0_28,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(position(X1,X3),position(X1,X2))
| ~ greater_or_equal(capability(X1,X3),capability(X1,X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
definition_greater_or_equal_5 ).
cnf(c_0_30,plain,
( greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(internal_friction(X1,X3),internal_friction(X1,X2)) ),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_32,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
theorem_3_56 ).
cnf(c_0_33,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(position(X1,X2),position(X1,X3))
| ~ greater(capability(X1,X2),capability(X1,X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27])]) ).
cnf(c_0_35,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
assumption_6_49 ).
cnf(c_0_36,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
assumption_11_51 ).
cnf(c_0_37,negated_conjecture,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater(position(sk1,sk2),position(sk1,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27]),c_0_34])]) ).
cnf(c_0_38,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| ~ greater(position(sk1,sk2),position(sk1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27])]) ).
cnf(c_0_40,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
meaning_postulate_greater_comparable_11 ).
cnf(c_0_41,negated_conjecture,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater(position(sk1,X1),position(sk1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_27])]) ).
cnf(c_0_42,plain,
( X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_40]) ).
cnf(c_0_43,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
assumption_4_42 ).
cnf(c_0_44,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_1_41 ).
cnf(c_0_45,negated_conjecture,
( position(sk1,X1) = position(sk1,X2)
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
~ has_endowment(sk1),
theorem_3_54 ).
cnf(c_0_47,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X4)) ),
inference(spm,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_48,negated_conjecture,
( position(sk1,X1) = position(sk1,X2)
| has_immunity(sk1,sk3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27])]),c_0_46]) ).
cnf(c_0_49,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X4),position(X1,X5)) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
position(sk1,X1) = position(sk1,X2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_27])]),c_0_46]) ).
cnf(c_0_51,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
definition_greater_or_equal_6 ).
cnf(c_0_52,negated_conjecture,
( has_immunity(sk1,X1)
| has_immunity(sk1,X2)
| smaller(hazard_of_mortality(sk1,X2),hazard_of_mortality(sk1,X1))
| ~ greater(capability(sk1,X2),capability(sk1,X1))
| ~ greater_or_equal(position(sk1,X3),position(sk1,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_27])]) ).
cnf(c_0_53,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( has_immunity(sk1,X1)
| has_immunity(sk1,X2)
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X2))
| ~ greater(capability(sk1,X1),capability(sk1,X2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( has_immunity(sk1,X1)
| has_immunity(sk1,X2)
| greater(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X2))
| ~ greater(capability(sk1,X2),capability(sk1,X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_55]),c_0_34])]) ).
cnf(c_0_57,negated_conjecture,
has_immunity(sk1,sk3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_56]),c_0_27])]),c_0_46]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_57]),c_0_27])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT050-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.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 06:06:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 6.36/6.49 % Version : CSE_E---1.5
% 6.36/6.49 % Problem : theBenchmark.p
% 6.36/6.49 % Proof found
% 6.36/6.49 % SZS status Theorem for theBenchmark.p
% 6.36/6.49 % SZS output start Proof
% See solution above
% 6.46/6.50 % Total time : 5.911000 s
% 6.46/6.50 % SZS output end Proof
% 6.46/6.50 % Total time : 5.914000 s
%------------------------------------------------------------------------------