TSTP Solution File: MGT054+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT054+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 : n004.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 09:08:42 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 81 ( 10 unt; 18 typ; 0 def)
% Number of atoms : 216 ( 24 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 250 ( 97 ~; 92 |; 44 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 12 >; 11 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 121 ( 6 sgn; 69 !; 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,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_30,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
is_aligned: ( $i * $i ) > $o ).
tff(decl_32,type,
age: ( $i * $i ) > $i ).
tff(decl_33,type,
zero: $i ).
tff(decl_34,type,
capability: ( $i * $i ) > $i ).
tff(decl_35,type,
sigma: $i ).
tff(decl_36,type,
esk1_0: $i ).
tff(decl_37,type,
esk2_0: $i ).
tff(decl_38,type,
esk3_0: $i ).
tff(decl_39,type,
esk4_0: $i ).
fof(theorem_5,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_5) ).
fof(assumption_15,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& age(X1,X5) = zero )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(definition_2,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(assumption_16,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4)
& greater(capability(X1,X4),capability(X1,X5)) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).
fof(assumption_3,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(assumption_14,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& is_aligned(X1,X5)
& ~ is_aligned(X1,X4) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).
fof(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_5])]) ).
fof(c_0_12,plain,
! [X34,X35,X36] :
( ( ~ greater(age(X34,X36),sigma)
| dissimilar(X34,X35,X36)
| ~ organization(X34)
| age(X34,X35) != zero )
& ( ~ dissimilar(X34,X35,X36)
| greater(age(X34,X36),sigma)
| ~ organization(X34)
| age(X34,X35) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_13,plain,
! [X26,X27,X28] :
( ( organization(X26)
| ~ dissimilar(X26,X27,X28) )
& ( ~ is_aligned(X26,X27)
| ~ is_aligned(X26,X28)
| ~ dissimilar(X26,X27,X28) )
& ( is_aligned(X26,X27)
| is_aligned(X26,X28)
| ~ dissimilar(X26,X27,X28) )
& ( ~ is_aligned(X26,X27)
| is_aligned(X26,X28)
| ~ organization(X26)
| dissimilar(X26,X27,X28) )
& ( ~ is_aligned(X26,X28)
| is_aligned(X26,X27)
| ~ organization(X26)
| dissimilar(X26,X27,X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
fof(c_0_14,plain,
! [X8,X9] :
( ( ~ smaller_or_equal(X8,X9)
| smaller(X8,X9)
| X8 = X9 )
& ( ~ smaller(X8,X9)
| smaller_or_equal(X8,X9) )
& ( X8 != X9
| smaller_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(c_0_15,negated_conjecture,
( organization(esk1_0)
& ~ has_endowment(esk1_0)
& age(esk1_0,esk2_0) = zero
& smaller_or_equal(age(esk1_0,esk3_0),sigma)
& greater(age(esk1_0,esk4_0),sigma)
& greater(sigma,zero)
& ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_16,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X29,X30] :
( ~ organization(X29)
| age(X29,X30) != zero
| is_aligned(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_19,plain,
! [X12,X13] :
( ( ~ smaller(X12,X13)
| greater(X13,X12) )
& ( ~ greater(X13,X12)
| smaller(X12,X13) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_20,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X14,X15] :
( ~ greater(X14,X15)
| ~ greater(X15,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_26,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_28,plain,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4)
& greater(capability(X1,X4),capability(X1,X5)) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_16]) ).
fof(c_0_29,plain,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[assumption_3]) ).
cnf(c_0_30,plain,
( is_aligned(X1,X2)
| greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_31,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| greater(sigma,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_35,plain,
! [X37,X38,X39] :
( ~ organization(X37)
| has_immunity(X37,X38)
| has_immunity(X37,X39)
| ~ greater(capability(X37,X39),capability(X37,X38))
| greater(hazard_of_mortality(X37,X38),hazard_of_mortality(X37,X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
fof(c_0_36,plain,
! [X23,X24,X25] :
( ~ organization(X23)
| ~ has_immunity(X23,X24)
| has_immunity(X23,X25)
| greater(hazard_of_mortality(X23,X25),hazard_of_mortality(X23,X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_37,plain,
! [X1,X5,X4] :
( ( organization(X1)
& is_aligned(X1,X5)
& ~ is_aligned(X1,X4) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_14]) ).
cnf(c_0_38,negated_conjecture,
( is_aligned(esk1_0,X1)
| greater(age(esk1_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_39,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| ~ greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_41,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X31,X32,X33] :
( ~ organization(X31)
| ~ is_aligned(X31,X32)
| is_aligned(X31,X33)
| greater(capability(X31,X32),capability(X31,X33)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
( is_aligned(esk1_0,X1)
| ~ greater(sigma,age(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_47,plain,
( age(X1,X2) != zero
| ~ is_aligned(X1,X3)
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24]) ).
cnf(c_0_48,negated_conjecture,
greater(age(esk1_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_49,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
cnf(c_0_50,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(csr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
( is_aligned(X1,X3)
| greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( is_aligned(esk1_0,esk3_0)
| ~ greater(sigma,sigma) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( age(esk1_0,X1) != zero
| ~ is_aligned(esk1_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_32])]) ).
fof(c_0_54,plain,
! [X21,X22] :
( ~ organization(X21)
| has_endowment(X21)
| ~ has_immunity(X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
cnf(c_0_55,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_56,plain,
( is_aligned(X1,X2)
| has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ is_aligned(X1,X3)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
is_aligned(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_52]) ).
cnf(c_0_58,negated_conjecture,
~ is_aligned(esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_53,c_0_31]) ).
cnf(c_0_59,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
has_immunity(esk1_0,esk4_0),
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_32])]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
~ has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_32])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT054+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 : n004.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 06:23:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.014000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.017000 s
%------------------------------------------------------------------------------