TSTP Solution File: MGT055+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT055+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 21:12:47 EST 2010
% Result : Theorem 6.22s
% Output : CNFRefutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 144 ( 28 unt; 0 def)
% Number of atoms : 540 ( 45 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 615 ( 219 ~; 252 |; 121 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 219 ( 2 sgn 128 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',definition_smaller_or_equal) ).
fof(2,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',meaning_postulate_greater_strict) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',meaning_postulate_greater_transitive) ).
fof(4,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',definition_smaller) ).
fof(6,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& has_immunity(X1,X5) )
=> hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_2) ).
fof(7,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_3) ).
fof(8,axiom,
! [X1,X4,X5] :
( dissimilar(X1,X4,X5)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X4)
<=> is_aligned(X1,X5) ) ) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',definition_2) ).
fof(9,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X5] :
( organization(X1)
& ( smaller_or_equal(age(X1,X5),eta)
=> has_immunity(X1,X5) )
& ( greater(age(X1,X5),eta)
=> ~ has_immunity(X1,X5) ) ) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',definition_1) ).
fof(10,conjecture,
! [X1,X4,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X4) ) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',lemma_8) ).
fof(11,axiom,
! [X1,X5] :
( ( organization(X1)
& age(X1,X5) = zero )
=> is_aligned(X1,X5) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_13) ).
fof(12,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& greater(capability(X1,X5),capability(X1,X4)) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_16) ).
fof(13,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& is_aligned(X1,X4)
& ~ is_aligned(X1,X5) )
=> greater(capability(X1,X4),capability(X1,X5)) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_14) ).
fof(14,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& age(X1,X4) = zero )
=> ( greater(age(X1,X5),sigma)
<=> dissimilar(X1,X4,X5) ) ),
file('/tmp/tmpF6l_Ye/sel_MGT055+1.p_1',assumption_15) ).
fof(15,negated_conjecture,
~ ! [X1,X4,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X4) ) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(16,plain,
! [X1,X4,X5] :
( ( organization(X1)
& has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(17,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X5] :
( organization(X1)
& ( smaller_or_equal(age(X1,X5),eta)
=> has_immunity(X1,X5) )
& ( greater(age(X1,X5),eta)
=> ~ has_immunity(X1,X5) ) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(18,plain,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& greater(capability(X1,X5),capability(X1,X4)) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(19,plain,
! [X1,X4,X5] :
( ( organization(X1)
& is_aligned(X1,X4)
& ~ is_aligned(X1,X5) )
=> greater(capability(X1,X4),capability(X1,X5)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(20,plain,
! [X1,X2] :
( ( ~ smaller_or_equal(X1,X2)
| smaller(X1,X2)
| X1 = X2 )
& ( ( ~ smaller(X1,X2)
& X1 != X2 )
| smaller_or_equal(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(21,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ( ~ smaller(X3,X4)
& X3 != X4 )
| smaller_or_equal(X3,X4) ) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,plain,
! [X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ~ smaller(X3,X4)
| smaller_or_equal(X3,X4) )
& ( X3 != X4
| smaller_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[21]) ).
cnf(24,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(25,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(26,plain,
! [X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(27,plain,
! [X3,X4] :
( ~ greater(X3,X4)
| ~ greater(X4,X3) ),
inference(variable_rename,[status(thm)],[26]) ).
cnf(28,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(29,plain,
! [X1,X2,X3] :
( ~ greater(X1,X2)
| ~ greater(X2,X3)
| greater(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(30,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| ~ greater(X5,X6)
| greater(X4,X6) ),
inference(variable_rename,[status(thm)],[29]) ).
cnf(31,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X1,X2] :
( ( ~ smaller(X1,X2)
| greater(X2,X1) )
& ( ~ greater(X2,X1)
| smaller(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(33,plain,
! [X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(variable_rename,[status(thm)],[32]) ).
cnf(34,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(35,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(38,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ has_immunity(X1,X4)
| ~ has_immunity(X1,X5)
| hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(39,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| ~ has_immunity(X6,X8)
| hazard_of_mortality(X6,X7) = hazard_of_mortality(X6,X8) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ has_immunity(X1,X4)
| has_immunity(X1,X5)
| greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(42,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| has_immunity(X6,X8)
| greater(hazard_of_mortality(X6,X8),hazard_of_mortality(X6,X7)) ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X2)
| ~ has_immunity(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X1,X4,X5] :
( ( ~ dissimilar(X1,X4,X5)
| ( organization(X1)
& ( ~ is_aligned(X1,X4)
| ~ is_aligned(X1,X5) )
& ( is_aligned(X1,X4)
| is_aligned(X1,X5) ) ) )
& ( ~ organization(X1)
| ( ( ~ is_aligned(X1,X4)
| is_aligned(X1,X5) )
& ( ~ is_aligned(X1,X5)
| is_aligned(X1,X4) ) )
| dissimilar(X1,X4,X5) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(45,plain,
! [X6,X7,X8] :
( ( ~ dissimilar(X6,X7,X8)
| ( organization(X6)
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8) ) ) )
& ( ~ organization(X6)
| ( ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7) ) )
| dissimilar(X6,X7,X8) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,plain,
! [X6,X7,X8] :
( ( organization(X6)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ organization(X6)
| dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7)
| ~ organization(X6)
| dissimilar(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(48,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(50,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(51,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(52,plain,
! [X1] :
( ( ~ has_endowment(X1)
| ! [X5] :
( organization(X1)
& ( ~ smaller_or_equal(age(X1,X5),eta)
| has_immunity(X1,X5) )
& ( ~ greater(age(X1,X5),eta)
| ~ has_immunity(X1,X5) ) ) )
& ( ? [X5] :
( ~ organization(X1)
| ( smaller_or_equal(age(X1,X5),eta)
& ~ has_immunity(X1,X5) )
| ( greater(age(X1,X5),eta)
& has_immunity(X1,X5) ) )
| has_endowment(X1) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(53,plain,
! [X6] :
( ( ~ has_endowment(X6)
| ! [X7] :
( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) ) )
& ( ? [X8] :
( ~ organization(X6)
| ( smaller_or_equal(age(X6,X8),eta)
& ~ has_immunity(X6,X8) )
| ( greater(age(X6,X8),eta)
& has_immunity(X6,X8) ) )
| has_endowment(X6) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X6] :
( ( ~ has_endowment(X6)
| ! [X7] :
( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) ) )
& ( ~ organization(X6)
| ( smaller_or_equal(age(X6,esk1_1(X6)),eta)
& ~ has_immunity(X6,esk1_1(X6)) )
| ( greater(age(X6,esk1_1(X6)),eta)
& has_immunity(X6,esk1_1(X6)) )
| has_endowment(X6) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X6,X7] :
( ( ( organization(X6)
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7) ) )
| ~ has_endowment(X6) )
& ( ~ organization(X6)
| ( smaller_or_equal(age(X6,esk1_1(X6)),eta)
& ~ has_immunity(X6,esk1_1(X6)) )
| ( greater(age(X6,esk1_1(X6)),eta)
& has_immunity(X6,esk1_1(X6)) )
| has_endowment(X6) ) ),
inference(shift_quantors,[status(thm)],[54]) ).
fof(56,plain,
! [X6,X7] :
( ( organization(X6)
| ~ has_endowment(X6) )
& ( ~ smaller_or_equal(age(X6,X7),eta)
| has_immunity(X6,X7)
| ~ has_endowment(X6) )
& ( ~ greater(age(X6,X7),eta)
| ~ has_immunity(X6,X7)
| ~ has_endowment(X6) )
& ( greater(age(X6,esk1_1(X6)),eta)
| smaller_or_equal(age(X6,esk1_1(X6)),eta)
| ~ organization(X6)
| has_endowment(X6) )
& ( has_immunity(X6,esk1_1(X6))
| smaller_or_equal(age(X6,esk1_1(X6)),eta)
| ~ organization(X6)
| has_endowment(X6) )
& ( greater(age(X6,esk1_1(X6)),eta)
| ~ has_immunity(X6,esk1_1(X6))
| ~ organization(X6)
| has_endowment(X6) )
& ( has_immunity(X6,esk1_1(X6))
| ~ has_immunity(X6,esk1_1(X6))
| ~ organization(X6)
| has_endowment(X6) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(61,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(62,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(64,negated_conjecture,
? [X1,X4,X6,X7,X8] :
( organization(X1)
& has_endowment(X1)
& age(X1,X4) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
| ~ greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
| hazard_of_mortality(X1,X6) != hazard_of_mortality(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(65,negated_conjecture,
? [X9,X10,X11,X12,X13] :
( organization(X9)
& has_endowment(X9)
& age(X9,X10) = zero
& smaller_or_equal(age(X9,X11),eta)
& greater(age(X9,X12),eta)
& smaller_or_equal(age(X9,X12),sigma)
& greater(age(X9,X13),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(X9,X13),hazard_of_mortality(X9,X12))
| ~ greater(hazard_of_mortality(X9,X12),hazard_of_mortality(X9,X11))
| hazard_of_mortality(X9,X11) != hazard_of_mortality(X9,X10) ) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,negated_conjecture,
( organization(esk2_0)
& has_endowment(esk2_0)
& age(esk2_0,esk3_0) = zero
& smaller_or_equal(age(esk2_0,esk4_0),eta)
& greater(age(esk2_0,esk5_0),eta)
& smaller_or_equal(age(esk2_0,esk5_0),sigma)
& greater(age(esk2_0,esk6_0),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0))
| ~ greater(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0))
| hazard_of_mortality(esk2_0,esk4_0) != hazard_of_mortality(esk2_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[65]) ).
cnf(67,negated_conjecture,
( hazard_of_mortality(esk2_0,esk4_0) != hazard_of_mortality(esk2_0,esk3_0)
| ~ greater(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0))
| ~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
greater(sigma,eta),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
greater(age(esk2_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(71,negated_conjecture,
smaller_or_equal(age(esk2_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(72,negated_conjecture,
greater(age(esk2_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(73,negated_conjecture,
smaller_or_equal(age(esk2_0,esk4_0),eta),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(74,negated_conjecture,
age(esk2_0,esk3_0) = zero,
inference(split_conjunct,[status(thm)],[66]) ).
cnf(75,negated_conjecture,
has_endowment(esk2_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(76,negated_conjecture,
organization(esk2_0),
inference(split_conjunct,[status(thm)],[66]) ).
fof(77,plain,
! [X1,X5] :
( ~ organization(X1)
| age(X1,X5) != zero
| is_aligned(X1,X5) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(78,plain,
! [X6,X7] :
( ~ organization(X6)
| age(X6,X7) != zero
| is_aligned(X6,X7) ),
inference(variable_rename,[status(thm)],[77]) ).
cnf(79,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(80,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| has_immunity(X1,X4)
| has_immunity(X1,X5)
| ~ greater(capability(X1,X5),capability(X1,X4))
| greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(81,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| has_immunity(X6,X7)
| has_immunity(X6,X8)
| ~ greater(capability(X6,X8),capability(X6,X7))
| greater(hazard_of_mortality(X6,X7),hazard_of_mortality(X6,X8)) ),
inference(variable_rename,[status(thm)],[80]) ).
cnf(82,plain,
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X3)
| has_immunity(X1,X2)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(83,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| ~ is_aligned(X1,X4)
| is_aligned(X1,X5)
| greater(capability(X1,X4),capability(X1,X5)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(84,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ is_aligned(X6,X7)
| is_aligned(X6,X8)
| greater(capability(X6,X7),capability(X6,X8)) ),
inference(variable_rename,[status(thm)],[83]) ).
cnf(85,plain,
( greater(capability(X1,X2),capability(X1,X3))
| is_aligned(X1,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(86,plain,
! [X1,X4,X5] :
( ~ organization(X1)
| age(X1,X4) != zero
| ( ( ~ greater(age(X1,X5),sigma)
| dissimilar(X1,X4,X5) )
& ( ~ dissimilar(X1,X4,X5)
| greater(age(X1,X5),sigma) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(87,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| age(X6,X7) != zero
| ( ( ~ greater(age(X6,X8),sigma)
| dissimilar(X6,X7,X8) )
& ( ~ dissimilar(X6,X7,X8)
| greater(age(X6,X8),sigma) ) ) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,plain,
! [X6,X7,X8] :
( ( ~ greater(age(X6,X8),sigma)
| dissimilar(X6,X7,X8)
| ~ organization(X6)
| age(X6,X7) != zero )
& ( ~ dissimilar(X6,X7,X8)
| greater(age(X6,X8),sigma)
| ~ organization(X6)
| age(X6,X7) != zero ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(89,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(90,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(98,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[34,68,theory(equality)]) ).
cnf(105,negated_conjecture,
( age(esk2_0,esk5_0) = sigma
| smaller(age(esk2_0,esk5_0),sigma) ),
inference(spm,[status(thm)],[25,71,theory(equality)]) ).
cnf(107,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[31,69,theory(equality)]) ).
cnf(110,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[79,74,theory(equality)]) ).
cnf(111,negated_conjecture,
( is_aligned(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[110,76,theory(equality)]) ).
cnf(112,negated_conjecture,
is_aligned(esk2_0,esk3_0),
inference(cn,[status(thm)],[111,theory(equality)]) ).
cnf(113,negated_conjecture,
( has_immunity(esk2_0,esk3_0)
| ~ has_endowment(esk2_0)
| ~ smaller_or_equal(zero,eta) ),
inference(spm,[status(thm)],[62,74,theory(equality)]) ).
cnf(114,negated_conjecture,
( has_immunity(esk2_0,esk4_0)
| ~ has_endowment(esk2_0) ),
inference(spm,[status(thm)],[62,73,theory(equality)]) ).
cnf(115,negated_conjecture,
( has_immunity(esk2_0,esk3_0)
| $false
| ~ smaller_or_equal(zero,eta) ),
inference(rw,[status(thm)],[113,75,theory(equality)]) ).
cnf(116,negated_conjecture,
( has_immunity(esk2_0,esk3_0)
| ~ smaller_or_equal(zero,eta) ),
inference(cn,[status(thm)],[115,theory(equality)]) ).
cnf(117,negated_conjecture,
( has_immunity(esk2_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[114,75,theory(equality)]) ).
cnf(118,negated_conjecture,
has_immunity(esk2_0,esk4_0),
inference(cn,[status(thm)],[117,theory(equality)]) ).
cnf(120,negated_conjecture,
( ~ has_endowment(esk2_0)
| ~ has_immunity(esk2_0,esk5_0) ),
inference(spm,[status(thm)],[61,72,theory(equality)]) ).
cnf(123,negated_conjecture,
( $false
| ~ has_immunity(esk2_0,esk5_0) ),
inference(rw,[status(thm)],[120,75,theory(equality)]) ).
cnf(124,negated_conjecture,
~ has_immunity(esk2_0,esk5_0),
inference(cn,[status(thm)],[123,theory(equality)]) ).
cnf(127,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0)
| ~ greater(age(esk2_0,X1),sigma) ),
inference(spm,[status(thm)],[90,74,theory(equality)]) ).
cnf(128,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| $false
| ~ greater(age(esk2_0,X1),sigma) ),
inference(rw,[status(thm)],[127,76,theory(equality)]) ).
cnf(129,negated_conjecture,
( dissimilar(esk2_0,esk3_0,X1)
| ~ greater(age(esk2_0,X1),sigma) ),
inference(cn,[status(thm)],[128,theory(equality)]) ).
cnf(130,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
inference(csr,[status(thm)],[89,51]) ).
cnf(131,negated_conjecture,
( greater(age(esk2_0,X1),sigma)
| ~ dissimilar(esk2_0,esk3_0,X1) ),
inference(spm,[status(thm)],[130,74,theory(equality)]) ).
cnf(134,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)],[82,43]) ).
cnf(135,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[24,98,theory(equality)]) ).
cnf(145,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[48,112,theory(equality)]) ).
cnf(148,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1)
| $false ),
inference(rw,[status(thm)],[145,76,theory(equality)]) ).
cnf(149,negated_conjecture,
( is_aligned(esk2_0,X1)
| dissimilar(esk2_0,esk3_0,X1) ),
inference(cn,[status(thm)],[148,theory(equality)]) ).
cnf(154,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = hazard_of_mortality(esk2_0,esk4_0)
| ~ has_immunity(esk2_0,X1)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[40,118,theory(equality)]) ).
cnf(155,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,esk4_0))
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[43,118,theory(equality)]) ).
cnf(156,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = hazard_of_mortality(esk2_0,esk4_0)
| ~ has_immunity(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[154,76,theory(equality)]) ).
cnf(157,negated_conjecture,
( hazard_of_mortality(esk2_0,X1) = hazard_of_mortality(esk2_0,esk4_0)
| ~ has_immunity(esk2_0,X1) ),
inference(cn,[status(thm)],[156,theory(equality)]) ).
cnf(158,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,esk4_0))
| $false ),
inference(rw,[status(thm)],[155,76,theory(equality)]) ).
cnf(159,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,esk4_0)) ),
inference(cn,[status(thm)],[158,theory(equality)]) ).
cnf(217,negated_conjecture,
( has_immunity(esk2_0,esk3_0)
| $false ),
inference(rw,[status(thm)],[116,135,theory(equality)]) ).
cnf(218,negated_conjecture,
has_immunity(esk2_0,esk3_0),
inference(cn,[status(thm)],[217,theory(equality)]) ).
cnf(230,negated_conjecture,
greater(age(esk2_0,esk6_0),eta),
inference(spm,[status(thm)],[107,70,theory(equality)]) ).
cnf(236,negated_conjecture,
( ~ has_endowment(esk2_0)
| ~ has_immunity(esk2_0,esk6_0) ),
inference(spm,[status(thm)],[61,230,theory(equality)]) ).
cnf(238,negated_conjecture,
( $false
| ~ has_immunity(esk2_0,esk6_0) ),
inference(rw,[status(thm)],[236,75,theory(equality)]) ).
cnf(239,negated_conjecture,
~ has_immunity(esk2_0,esk6_0),
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(251,negated_conjecture,
( greater(sigma,age(esk2_0,esk5_0))
| age(esk2_0,esk5_0) = sigma ),
inference(spm,[status(thm)],[35,105,theory(equality)]) ).
cnf(288,negated_conjecture,
( age(esk2_0,esk5_0) = sigma
| ~ greater(age(esk2_0,esk5_0),sigma) ),
inference(spm,[status(thm)],[28,251,theory(equality)]) ).
cnf(332,negated_conjecture,
dissimilar(esk2_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[129,70,theory(equality)]) ).
cnf(344,negated_conjecture,
( ~ is_aligned(esk2_0,esk6_0)
| ~ is_aligned(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[50,332,theory(equality)]) ).
cnf(347,negated_conjecture,
( ~ is_aligned(esk2_0,esk6_0)
| $false ),
inference(rw,[status(thm)],[344,112,theory(equality)]) ).
cnf(348,negated_conjecture,
~ is_aligned(esk2_0,esk6_0),
inference(cn,[status(thm)],[347,theory(equality)]) ).
cnf(371,negated_conjecture,
( greater(age(esk2_0,X1),sigma)
| is_aligned(esk2_0,X1) ),
inference(spm,[status(thm)],[131,149,theory(equality)]) ).
cnf(390,negated_conjecture,
( is_aligned(esk2_0,X1)
| greater(capability(esk2_0,X2),capability(esk2_0,X1))
| greater(age(esk2_0,X2),sigma)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[85,371,theory(equality)]) ).
cnf(396,negated_conjecture,
( is_aligned(esk2_0,X1)
| greater(capability(esk2_0,X2),capability(esk2_0,X1))
| greater(age(esk2_0,X2),sigma)
| $false ),
inference(rw,[status(thm)],[390,76,theory(equality)]) ).
cnf(397,negated_conjecture,
( is_aligned(esk2_0,X1)
| greater(capability(esk2_0,X2),capability(esk2_0,X1))
| greater(age(esk2_0,X2),sigma) ),
inference(cn,[status(thm)],[396,theory(equality)]) ).
cnf(449,negated_conjecture,
hazard_of_mortality(esk2_0,esk3_0) = hazard_of_mortality(esk2_0,esk4_0),
inference(spm,[status(thm)],[157,218,theory(equality)]) ).
cnf(470,negated_conjecture,
( $false
| ~ greater(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0))
| ~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0)) ),
inference(rw,[status(thm)],[67,449,theory(equality)]) ).
cnf(471,negated_conjecture,
( ~ greater(hazard_of_mortality(esk2_0,esk5_0),hazard_of_mortality(esk2_0,esk4_0))
| ~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0)) ),
inference(cn,[status(thm)],[470,theory(equality)]) ).
cnf(475,negated_conjecture,
( has_immunity(esk2_0,esk5_0)
| ~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0)) ),
inference(spm,[status(thm)],[471,159,theory(equality)]) ).
cnf(476,negated_conjecture,
~ greater(hazard_of_mortality(esk2_0,esk6_0),hazard_of_mortality(esk2_0,esk5_0)),
inference(sr,[status(thm)],[475,124,theory(equality)]) ).
cnf(2907,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,X2))
| is_aligned(esk2_0,X1)
| greater(age(esk2_0,X2),sigma)
| ~ organization(esk2_0) ),
inference(spm,[status(thm)],[134,397,theory(equality)]) ).
cnf(2914,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,X2))
| is_aligned(esk2_0,X1)
| greater(age(esk2_0,X2),sigma)
| $false ),
inference(rw,[status(thm)],[2907,76,theory(equality)]) ).
cnf(2915,negated_conjecture,
( has_immunity(esk2_0,X1)
| greater(hazard_of_mortality(esk2_0,X1),hazard_of_mortality(esk2_0,X2))
| is_aligned(esk2_0,X1)
| greater(age(esk2_0,X2),sigma) ),
inference(cn,[status(thm)],[2914,theory(equality)]) ).
cnf(134342,negated_conjecture,
( is_aligned(esk2_0,esk6_0)
| has_immunity(esk2_0,esk6_0)
| greater(age(esk2_0,esk5_0),sigma) ),
inference(spm,[status(thm)],[476,2915,theory(equality)]) ).
cnf(134474,negated_conjecture,
( has_immunity(esk2_0,esk6_0)
| greater(age(esk2_0,esk5_0),sigma) ),
inference(sr,[status(thm)],[134342,348,theory(equality)]) ).
cnf(134475,negated_conjecture,
greater(age(esk2_0,esk5_0),sigma),
inference(sr,[status(thm)],[134474,239,theory(equality)]) ).
cnf(134610,negated_conjecture,
( age(esk2_0,esk5_0) = sigma
| $false ),
inference(rw,[status(thm)],[288,134475,theory(equality)]) ).
cnf(134611,negated_conjecture,
age(esk2_0,esk5_0) = sigma,
inference(cn,[status(thm)],[134610,theory(equality)]) ).
cnf(134736,negated_conjecture,
greater(sigma,sigma),
inference(rw,[status(thm)],[134475,134611,theory(equality)]) ).
cnf(135042,negated_conjecture,
~ greater(sigma,sigma),
inference(spm,[status(thm)],[28,134736,theory(equality)]) ).
cnf(135109,negated_conjecture,
$false,
inference(rw,[status(thm)],[135042,134736,theory(equality)]) ).
cnf(135110,negated_conjecture,
$false,
inference(cn,[status(thm)],[135109,theory(equality)]) ).
cnf(135111,negated_conjecture,
$false,
135110,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT055+1.p
% --creating new selector for [MGT001+0.ax]
% -running prover on /tmp/tmpF6l_Ye/sel_MGT055+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT055+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT055+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT055+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------