TSTP Solution File: MGT027+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT027+1 : TPTP v5.0.0. Released v2.0.0.
% 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 21:09:27 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 89 ( 6 unt; 0 def)
% Number of atoms : 437 ( 18 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 618 ( 270 ~; 288 |; 48 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn 70 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_greater_transitivity) ).
fof(2,axiom,
! [X4] :
( ( environment(X4)
& stable(X4) )
=> in_environment(X4,appear(efficient_producers,X4)) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_EP_in_stable_environments) ).
fof(3,axiom,
! [X4,X5] :
( ( environment(X4)
& in_environment(X4,X5)
& greater_or_equal(X5,appear(efficient_producers,X4)) )
=> greater(cardinality_at_time(efficient_producers,X5),zero) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',t6) ).
fof(4,axiom,
! [X4] :
( ( environment(X4)
& stable(X4) )
=> ? [X6] :
( greater(X6,appear(efficient_producers,X4))
& ! [X5] :
( ( subpopulations(first_movers,efficient_producers,X4,X5)
& greater_or_equal(X5,X6) )
=> greater(zero,growth_rate(first_movers,X5)) ) ) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',l10) ).
fof(5,axiom,
! [X4,X7,X8] :
( ( environment(X4)
& stable(X4)
& in_environment(X4,X7)
& greater(X8,X7) )
=> in_environment(X4,X8) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_long_stable_environments) ).
fof(6,axiom,
! [X4,X5] :
( ( environment(X4)
& in_environment(X4,X5)
& greater(cardinality_at_time(first_movers,X5),zero)
& greater(cardinality_at_time(efficient_producers,X5),zero) )
=> subpopulations(first_movers,efficient_producers,X4,X5) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_non_empty_fm_and_ep) ).
fof(7,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_greater_or_equal) ).
fof(8,axiom,
! [X4,X6] :
( ( environment(X4)
& stable(X4)
& in_environment(X4,X6)
& ! [X5] :
( ( greater(cardinality_at_time(first_movers,X5),zero)
& greater_or_equal(X5,X6) )
=> greater(zero,growth_rate(first_movers,X5)) ) )
=> contracts_from(X6,first_movers) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',mp_contracts_from) ).
fof(9,conjecture,
! [X4] :
( ( environment(X4)
& stable(X4) )
=> ? [X6] :
( greater(X6,appear(efficient_producers,X4))
& contracts_from(X6,first_movers) ) ),
file('/tmp/tmpdE_JbS/sel_MGT027+1.p_1',prove_l9) ).
fof(10,negated_conjecture,
~ ! [X4] :
( ( environment(X4)
& stable(X4) )
=> ? [X6] :
( greater(X6,appear(efficient_producers,X4))
& contracts_from(X6,first_movers) ) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(11,plain,
! [X1,X2,X3] :
( ~ greater(X1,X2)
| ~ greater(X2,X3)
| greater(X1,X3) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(12,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| ~ greater(X5,X6)
| greater(X4,X6) ),
inference(variable_rename,[status(thm)],[11]) ).
cnf(13,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(14,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| in_environment(X4,appear(efficient_producers,X4)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(15,plain,
! [X5] :
( ~ environment(X5)
| ~ stable(X5)
| in_environment(X5,appear(efficient_producers,X5)) ),
inference(variable_rename,[status(thm)],[14]) ).
cnf(16,plain,
( in_environment(X1,appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,plain,
! [X4,X5] :
( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ greater_or_equal(X5,appear(efficient_producers,X4))
| greater(cardinality_at_time(efficient_producers,X5),zero) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(18,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ in_environment(X6,X7)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| greater(cardinality_at_time(efficient_producers,X7),zero) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(19,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| ? [X6] :
( greater(X6,appear(efficient_producers,X4))
& ! [X5] :
( ~ subpopulations(first_movers,efficient_producers,X4,X5)
| ~ greater_or_equal(X5,X6)
| greater(zero,growth_rate(first_movers,X5)) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(21,plain,
! [X7] :
( ~ environment(X7)
| ~ stable(X7)
| ? [X8] :
( greater(X8,appear(efficient_producers,X7))
& ! [X9] :
( ~ subpopulations(first_movers,efficient_producers,X7,X9)
| ~ greater_or_equal(X9,X8)
| greater(zero,growth_rate(first_movers,X9)) ) ) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,plain,
! [X7] :
( ~ environment(X7)
| ~ stable(X7)
| ( greater(esk1_1(X7),appear(efficient_producers,X7))
& ! [X9] :
( ~ subpopulations(first_movers,efficient_producers,X7,X9)
| ~ greater_or_equal(X9,esk1_1(X7))
| greater(zero,growth_rate(first_movers,X9)) ) ) ),
inference(skolemize,[status(esa)],[21]) ).
fof(23,plain,
! [X7,X9] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X7,X9)
| ~ greater_or_equal(X9,esk1_1(X7))
| greater(zero,growth_rate(first_movers,X9)) )
& greater(esk1_1(X7),appear(efficient_producers,X7)) )
| ~ environment(X7)
| ~ stable(X7) ),
inference(shift_quantors,[status(thm)],[22]) ).
fof(24,plain,
! [X7,X9] :
( ( ~ subpopulations(first_movers,efficient_producers,X7,X9)
| ~ greater_or_equal(X9,esk1_1(X7))
| greater(zero,growth_rate(first_movers,X9))
| ~ environment(X7)
| ~ stable(X7) )
& ( greater(esk1_1(X7),appear(efficient_producers,X7))
| ~ environment(X7)
| ~ stable(X7) ) ),
inference(distribute,[status(thm)],[23]) ).
cnf(25,plain,
( greater(esk1_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(26,plain,
( greater(zero,growth_rate(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk1_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(27,plain,
! [X4,X7,X8] :
( ~ environment(X4)
| ~ stable(X4)
| ~ in_environment(X4,X7)
| ~ greater(X8,X7)
| in_environment(X4,X8) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(28,plain,
! [X9,X10,X11] :
( ~ environment(X9)
| ~ stable(X9)
| ~ in_environment(X9,X10)
| ~ greater(X11,X10)
| in_environment(X9,X11) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( in_environment(X1,X2)
| ~ greater(X2,X3)
| ~ in_environment(X1,X3)
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X4,X5] :
( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ greater(cardinality_at_time(first_movers,X5),zero)
| ~ greater(cardinality_at_time(efficient_producers,X5),zero)
| subpopulations(first_movers,efficient_producers,X4,X5) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(31,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ in_environment(X6,X7)
| ~ greater(cardinality_at_time(first_movers,X7),zero)
| ~ greater(cardinality_at_time(efficient_producers,X7),zero)
| subpopulations(first_movers,efficient_producers,X6,X7) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X1,X2] :
( ( ~ greater_or_equal(X1,X2)
| greater(X1,X2)
| X1 = X2 )
& ( ( ~ greater(X1,X2)
& X1 != X2 )
| greater_or_equal(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(34,plain,
! [X3,X4] :
( ( ~ greater_or_equal(X3,X4)
| greater(X3,X4)
| X3 = X4 )
& ( ( ~ greater(X3,X4)
& X3 != X4 )
| greater_or_equal(X3,X4) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X3,X4] :
( ( ~ greater_or_equal(X3,X4)
| greater(X3,X4)
| X3 = X4 )
& ( ~ greater(X3,X4)
| greater_or_equal(X3,X4) )
& ( X3 != X4
| greater_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(36,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(38,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(39,plain,
! [X4,X6] :
( ~ environment(X4)
| ~ stable(X4)
| ~ in_environment(X4,X6)
| ? [X5] :
( greater(cardinality_at_time(first_movers,X5),zero)
& greater_or_equal(X5,X6)
& ~ greater(zero,growth_rate(first_movers,X5)) )
| contracts_from(X6,first_movers) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(40,plain,
! [X7,X8] :
( ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| ? [X9] :
( greater(cardinality_at_time(first_movers,X9),zero)
& greater_or_equal(X9,X8)
& ~ greater(zero,growth_rate(first_movers,X9)) )
| contracts_from(X8,first_movers) ),
inference(variable_rename,[status(thm)],[39]) ).
fof(41,plain,
! [X7,X8] :
( ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| ( greater(cardinality_at_time(first_movers,esk2_2(X7,X8)),zero)
& greater_or_equal(esk2_2(X7,X8),X8)
& ~ greater(zero,growth_rate(first_movers,esk2_2(X7,X8))) )
| contracts_from(X8,first_movers) ),
inference(skolemize,[status(esa)],[40]) ).
fof(42,plain,
! [X7,X8] :
( ( greater(cardinality_at_time(first_movers,esk2_2(X7,X8)),zero)
| ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| contracts_from(X8,first_movers) )
& ( greater_or_equal(esk2_2(X7,X8),X8)
| ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| contracts_from(X8,first_movers) )
& ( ~ greater(zero,growth_rate(first_movers,esk2_2(X7,X8)))
| ~ environment(X7)
| ~ stable(X7)
| ~ in_environment(X7,X8)
| contracts_from(X8,first_movers) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(43,plain,
( contracts_from(X1,first_movers)
| ~ in_environment(X2,X1)
| ~ stable(X2)
| ~ environment(X2)
| ~ greater(zero,growth_rate(first_movers,esk2_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(44,plain,
( contracts_from(X1,first_movers)
| greater_or_equal(esk2_2(X2,X1),X1)
| ~ in_environment(X2,X1)
| ~ stable(X2)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(45,plain,
( contracts_from(X1,first_movers)
| greater(cardinality_at_time(first_movers,esk2_2(X2,X1)),zero)
| ~ in_environment(X2,X1)
| ~ stable(X2)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(46,negated_conjecture,
? [X4] :
( environment(X4)
& stable(X4)
& ! [X6] :
( ~ greater(X6,appear(efficient_producers,X4))
| ~ contracts_from(X6,first_movers) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(47,negated_conjecture,
? [X7] :
( environment(X7)
& stable(X7)
& ! [X8] :
( ~ greater(X8,appear(efficient_producers,X7))
| ~ contracts_from(X8,first_movers) ) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,negated_conjecture,
( environment(esk3_0)
& stable(esk3_0)
& ! [X8] :
( ~ greater(X8,appear(efficient_producers,esk3_0))
| ~ contracts_from(X8,first_movers) ) ),
inference(skolemize,[status(esa)],[47]) ).
fof(49,negated_conjecture,
! [X8] :
( ( ~ greater(X8,appear(efficient_producers,esk3_0))
| ~ contracts_from(X8,first_movers) )
& environment(esk3_0)
& stable(esk3_0) ),
inference(shift_quantors,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
stable(esk3_0),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,negated_conjecture,
environment(esk3_0),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(52,negated_conjecture,
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,esk3_0)) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(53,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[36,theory(equality)]) ).
cnf(55,plain,
( ~ contracts_from(esk1_1(esk3_0),first_movers)
| ~ stable(esk3_0)
| ~ environment(esk3_0) ),
inference(spm,[status(thm)],[52,25,theory(equality)]) ).
cnf(56,plain,
( ~ contracts_from(esk1_1(esk3_0),first_movers)
| $false
| ~ environment(esk3_0) ),
inference(rw,[status(thm)],[55,50,theory(equality)]) ).
cnf(57,plain,
( ~ contracts_from(esk1_1(esk3_0),first_movers)
| $false
| $false ),
inference(rw,[status(thm)],[56,51,theory(equality)]) ).
cnf(58,plain,
~ contracts_from(esk1_1(esk3_0),first_movers),
inference(cn,[status(thm)],[57,theory(equality)]) ).
cnf(59,plain,
( greater(X1,appear(efficient_producers,X2))
| ~ greater(X1,esk1_1(X2))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[13,25,theory(equality)]) ).
cnf(60,plain,
( in_environment(X1,esk1_1(X2))
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[29,25,theory(equality)]) ).
cnf(61,plain,
( esk2_2(X1,X2) = X2
| greater(esk2_2(X1,X2),X2)
| contracts_from(X2,first_movers)
| ~ in_environment(X1,X2)
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[38,44,theory(equality)]) ).
cnf(62,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ greater(X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[19,37,theory(equality)]) ).
cnf(66,plain,
( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,esk1_1(X2))
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero) ),
inference(spm,[status(thm)],[26,32,theory(equality)]) ).
cnf(70,plain,
( in_environment(X1,X2)
| ~ in_environment(X1,appear(efficient_producers,X3))
| ~ stable(X1)
| ~ environment(X1)
| ~ stable(X3)
| ~ environment(X3)
| ~ greater(X2,esk1_1(X3)) ),
inference(spm,[status(thm)],[29,59,theory(equality)]) ).
cnf(77,plain,
( greater(cardinality_at_time(efficient_producers,esk1_1(X1)),zero)
| ~ in_environment(X1,esk1_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(spm,[status(thm)],[62,25,theory(equality)]) ).
cnf(78,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ stable(X2)
| ~ greater(X1,esk1_1(X2)) ),
inference(spm,[status(thm)],[62,59,theory(equality)]) ).
cnf(79,plain,
( in_environment(X1,esk1_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[60,16,theory(equality)]) ).
cnf(80,plain,
( greater(cardinality_at_time(efficient_producers,esk1_1(X1)),zero)
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[77,79,theory(equality)]) ).
cnf(92,plain,
( greater(cardinality_at_time(efficient_producers,esk2_2(X1,esk1_1(X2))),zero)
| esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| ~ in_environment(X2,esk2_2(X1,esk1_1(X2)))
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[78,61,theory(equality)]) ).
cnf(95,plain,
( in_environment(X1,X2)
| ~ stable(X1)
| ~ environment(X1)
| ~ greater(X2,esk1_1(X1)) ),
inference(spm,[status(thm)],[70,16,theory(equality)]) ).
cnf(96,plain,
( in_environment(X1,esk2_2(X2,esk1_1(X1)))
| esk2_2(X2,esk1_1(X1)) = esk1_1(X1)
| contracts_from(esk1_1(X1),first_movers)
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[95,61,theory(equality)]) ).
cnf(98,plain,
( greater(zero,growth_rate(first_movers,esk1_1(X1)))
| ~ greater_or_equal(esk1_1(X1),esk1_1(X2))
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ environment(X2)
| ~ greater(cardinality_at_time(first_movers,esk1_1(X1)),zero)
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[66,80,theory(equality)]) ).
cnf(110,plain,
( esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| greater(cardinality_at_time(efficient_producers,esk2_2(X1,esk1_1(X2))),zero)
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[92,96]) ).
cnf(113,plain,
( greater(zero,growth_rate(first_movers,esk2_2(X1,esk1_1(X2))))
| esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| ~ greater_or_equal(esk2_2(X1,esk1_1(X2)),esk1_1(X3))
| ~ in_environment(X3,esk2_2(X1,esk1_1(X2)))
| ~ stable(X3)
| ~ environment(X3)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,esk1_1(X2))),zero)
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[66,110,theory(equality)]) ).
cnf(144,plain,
( esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| greater(zero,growth_rate(first_movers,esk2_2(X1,esk1_1(X2))))
| ~ greater_or_equal(esk2_2(X1,esk1_1(X2)),esk1_1(X3))
| ~ in_environment(X3,esk2_2(X1,esk1_1(X2)))
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X2)
| ~ stable(X1)
| ~ stable(X3)
| ~ environment(X2)
| ~ environment(X1)
| ~ environment(X3) ),
inference(csr,[status(thm)],[113,45]) ).
cnf(145,plain,
( esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| ~ greater_or_equal(esk2_2(X1,esk1_1(X2)),esk1_1(X3))
| ~ in_environment(X3,esk2_2(X1,esk1_1(X2)))
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X3)
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X3)
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[144,43]) ).
cnf(147,plain,
( esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| ~ in_environment(X2,esk2_2(X1,esk1_1(X2)))
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[145,44,theory(equality)]) ).
cnf(157,plain,
( esk2_2(X1,esk1_1(X2)) = esk1_1(X2)
| contracts_from(esk1_1(X2),first_movers)
| ~ in_environment(X1,esk1_1(X2))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[147,96]) ).
cnf(159,plain,
( contracts_from(esk1_1(X1),first_movers)
| greater(cardinality_at_time(first_movers,esk1_1(X1)),zero)
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ environment(X2)
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[45,157,theory(equality)]) ).
cnf(160,plain,
( contracts_from(esk1_1(X1),first_movers)
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ environment(X2)
| ~ greater(zero,growth_rate(first_movers,esk1_1(X1)))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[43,157,theory(equality)]) ).
cnf(167,plain,
( contracts_from(esk1_1(X1),first_movers)
| greater(cardinality_at_time(first_movers,esk1_1(X1)),zero)
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[159,79,theory(equality)]) ).
cnf(170,plain,
( greater(zero,growth_rate(first_movers,esk1_1(X1)))
| contracts_from(esk1_1(X1),first_movers)
| ~ greater_or_equal(esk1_1(X1),esk1_1(X2))
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[98,167,theory(equality)]) ).
cnf(179,plain,
( contracts_from(esk1_1(X1),first_movers)
| ~ greater_or_equal(esk1_1(X1),esk1_1(X2))
| ~ in_environment(X2,esk1_1(X1))
| ~ stable(X2)
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[170,160]) ).
cnf(180,plain,
( contracts_from(esk1_1(X1),first_movers)
| ~ in_environment(X1,esk1_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[179,53,theory(equality)]) ).
cnf(182,plain,
( contracts_from(esk1_1(X1),first_movers)
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[180,79]) ).
cnf(183,plain,
( ~ stable(esk3_0)
| ~ environment(esk3_0) ),
inference(spm,[status(thm)],[58,182,theory(equality)]) ).
cnf(184,plain,
( $false
| ~ environment(esk3_0) ),
inference(rw,[status(thm)],[183,50,theory(equality)]) ).
cnf(185,plain,
( $false
| $false ),
inference(rw,[status(thm)],[184,51,theory(equality)]) ).
cnf(186,plain,
$false,
inference(cn,[status(thm)],[185,theory(equality)]) ).
cnf(187,plain,
$false,
186,
[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/MGT027+1.p
% --creating new selector for []
% -running prover on /tmp/tmpdE_JbS/sel_MGT027+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT027+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT027+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT027+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
%
%------------------------------------------------------------------------------