TSTP Solution File: MGT057+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT057+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 : n009.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 09:08:44 EDT 2023
% Result : Theorem 0.61s 0.64s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 55 ( 14 unt; 17 typ; 0 def)
% Number of atoms : 134 ( 16 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 142 ( 46 ~; 46 |; 37 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 11 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn; 39 !; 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,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_32,type,
zero: $i ).
tff(decl_33,type,
esk1_1: $i > $i ).
tff(decl_34,type,
esk2_1: $i > $i ).
tff(decl_35,type,
esk3_0: $i ).
tff(decl_36,type,
esk4_0: $i ).
tff(decl_37,type,
esk5_0: $i ).
tff(decl_38,type,
esk6_0: $i ).
fof(theorem_6,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6) ).
fof(definition_1,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_2,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& has_immunity(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(assume_negation,[status(cth)],[theorem_6]) ).
fof(c_0_7,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_1]) ).
fof(c_0_8,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])]) ).
fof(c_0_9,negated_conjecture,
( organization(esk3_0)
& has_endowment(esk3_0)
& age(esk3_0,esk4_0) = zero
& smaller_or_equal(age(esk3_0,esk5_0),eta)
& greater(age(esk3_0,esk6_0),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X21,X22,X23,X24] :
( ( organization(X21)
| ~ has_endowment(X21) )
& ( ~ smaller_or_equal(age(X21,X22),eta)
| has_immunity(X21,X22)
| ~ has_endowment(X21) )
& ( ~ greater(age(X21,X23),eta)
| ~ has_immunity(X21,X23)
| ~ has_endowment(X21) )
& ( greater(age(X24,esk2_1(X24)),eta)
| smaller_or_equal(age(X24,esk1_1(X24)),eta)
| ~ organization(X24)
| has_endowment(X24) )
& ( has_immunity(X24,esk2_1(X24))
| smaller_or_equal(age(X24,esk1_1(X24)),eta)
| ~ organization(X24)
| has_endowment(X24) )
& ( greater(age(X24,esk2_1(X24)),eta)
| ~ has_immunity(X24,esk1_1(X24))
| ~ organization(X24)
| has_endowment(X24) )
& ( has_immunity(X24,esk2_1(X24))
| ~ has_immunity(X24,esk1_1(X24))
| ~ organization(X24)
| has_endowment(X24) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
fof(c_0_11,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])])]) ).
cnf(c_0_12,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X27,X28,X29] :
( ~ organization(X27)
| ~ has_immunity(X27,X28)
| ~ has_immunity(X27,X29)
| hazard_of_mortality(X27,X28) = hazard_of_mortality(X27,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).
cnf(c_0_15,plain,
( has_immunity(X1,X2)
| ~ smaller_or_equal(age(X1,X2),eta)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,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_26,negated_conjecture,
( hazard_of_mortality(esk3_0,X1) = hazard_of_mortality(esk3_0,esk5_0)
| ~ has_immunity(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
has_immunity(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_23]),c_0_17]),c_0_24])]) ).
fof(c_0_28,plain,
! [X30,X31,X32] :
( ~ organization(X30)
| ~ has_immunity(X30,X31)
| has_immunity(X30,X32)
| greater(hazard_of_mortality(X30,X32),hazard_of_mortality(X30,X31)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,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_28]) ).
cnf(c_0_32,plain,
( ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,negated_conjecture,
~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,negated_conjecture,
( has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_22])]) ).
cnf(c_0_36,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT057+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n009.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 06:32:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.39/0.62 start to proof: theBenchmark
% 0.61/0.64 % Version : CSE_E---1.5
% 0.61/0.64 % Problem : theBenchmark.p
% 0.61/0.64 % Proof found
% 0.61/0.64 % SZS status Theorem for theBenchmark.p
% 0.61/0.64 % SZS output start Proof
% See solution above
% 0.61/0.65 % Total time : 0.013000 s
% 0.61/0.65 % SZS output end Proof
% 0.61/0.65 % Total time : 0.017000 s
%------------------------------------------------------------------------------