TSTP Solution File: SYN549+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN549+1 : TPTP v5.0.0. Released v2.2.0.
% 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 : Sun Dec 26 13:57:37 EST 2010
% Result : Theorem 1.26s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 11
% Syntax : Number of formulae : 259 ( 16 unt; 0 def)
% Number of atoms : 1096 ( 0 equ)
% Maximal formula atoms : 80 ( 4 avg)
% Number of connectives : 1110 ( 273 ~; 765 |; 59 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 130 ( 0 sgn 48 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
? [X1] :
( reachable(initial_world,X1)
& ! [X2] :
( reachable(X1,X2)
=> ( ? [X3] :
( reachable(X2,X3)
& ( p(X3)
| ? [X4] :
( reachable(X3,X4)
& q(X4) ) ) )
<=> ( ? [X5] :
( reachable(X2,X5)
& p(X5) )
| ? [X5] :
( reachable(X2,X5)
& q(X5) ) ) ) ) ),
file('/tmp/tmpE0rT8k/sel_SYN549+1.p_1',prove_this) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( reachable(X1,X2)
& reachable(X2,X3) )
=> reachable(X1,X3) ),
file('/tmp/tmpE0rT8k/sel_SYN549+1.p_1',transitivity_of_reachable) ).
fof(3,axiom,
! [X1] : reachable(X1,X1),
file('/tmp/tmpE0rT8k/sel_SYN549+1.p_1',reflexivity_of_reachable) ).
fof(4,negated_conjecture,
~ ? [X1] :
( reachable(initial_world,X1)
& ! [X2] :
( reachable(X1,X2)
=> ( ? [X3] :
( reachable(X2,X3)
& ( p(X3)
| ? [X4] :
( reachable(X3,X4)
& q(X4) ) ) )
<=> ( ? [X5] :
( reachable(X2,X5)
& p(X5) )
| ? [X5] :
( reachable(X2,X5)
& q(X5) ) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
! [X1] :
( ~ reachable(initial_world,X1)
| ? [X2] :
( reachable(X1,X2)
& ( ! [X3] :
( ~ reachable(X2,X3)
| ( ~ p(X3)
& ! [X4] :
( ~ reachable(X3,X4)
| ~ q(X4) ) ) )
| ( ! [X5] :
( ~ reachable(X2,X5)
| ~ p(X5) )
& ! [X5] :
( ~ reachable(X2,X5)
| ~ q(X5) ) ) )
& ( ? [X3] :
( reachable(X2,X3)
& ( p(X3)
| ? [X4] :
( reachable(X3,X4)
& q(X4) ) ) )
| ? [X5] :
( reachable(X2,X5)
& p(X5) )
| ? [X5] :
( reachable(X2,X5)
& q(X5) ) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
! [X6] :
( ~ reachable(initial_world,X6)
| ? [X7] :
( reachable(X6,X7)
& ( ! [X8] :
( ~ reachable(X7,X8)
| ( ~ p(X8)
& ! [X9] :
( ~ reachable(X8,X9)
| ~ q(X9) ) ) )
| ( ! [X10] :
( ~ reachable(X7,X10)
| ~ p(X10) )
& ! [X11] :
( ~ reachable(X7,X11)
| ~ q(X11) ) ) )
& ( ? [X12] :
( reachable(X7,X12)
& ( p(X12)
| ? [X13] :
( reachable(X12,X13)
& q(X13) ) ) )
| ? [X14] :
( reachable(X7,X14)
& p(X14) )
| ? [X15] :
( reachable(X7,X15)
& q(X15) ) ) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
! [X6] :
( ~ reachable(initial_world,X6)
| ( reachable(X6,esk1_1(X6))
& ( ! [X8] :
( ~ reachable(esk1_1(X6),X8)
| ( ~ p(X8)
& ! [X9] :
( ~ reachable(X8,X9)
| ~ q(X9) ) ) )
| ( ! [X10] :
( ~ reachable(esk1_1(X6),X10)
| ~ p(X10) )
& ! [X11] :
( ~ reachable(esk1_1(X6),X11)
| ~ q(X11) ) ) )
& ( ( reachable(esk1_1(X6),esk2_1(X6))
& ( p(esk2_1(X6))
| ( reachable(esk2_1(X6),esk3_1(X6))
& q(esk3_1(X6)) ) ) )
| ( reachable(esk1_1(X6),esk4_1(X6))
& p(esk4_1(X6)) )
| ( reachable(esk1_1(X6),esk5_1(X6))
& q(esk5_1(X6)) ) ) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,negated_conjecture,
! [X6,X8,X9,X10,X11] :
( ( ( ( ( ~ reachable(esk1_1(X6),X11)
| ~ q(X11) )
& ( ~ reachable(esk1_1(X6),X10)
| ~ p(X10) ) )
| ( ( ~ reachable(X8,X9)
| ~ q(X9) )
& ~ p(X8) )
| ~ reachable(esk1_1(X6),X8) )
& ( ( reachable(esk1_1(X6),esk2_1(X6))
& ( p(esk2_1(X6))
| ( reachable(esk2_1(X6),esk3_1(X6))
& q(esk3_1(X6)) ) ) )
| ( reachable(esk1_1(X6),esk4_1(X6))
& p(esk4_1(X6)) )
| ( reachable(esk1_1(X6),esk5_1(X6))
& q(esk5_1(X6)) ) )
& reachable(X6,esk1_1(X6)) )
| ~ reachable(initial_world,X6) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,negated_conjecture,
! [X6,X8,X9,X10,X11] :
( ( ~ reachable(X8,X9)
| ~ q(X9)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(esk1_1(X6),X11)
| ~ q(X11)
| ~ reachable(initial_world,X6) )
& ( ~ p(X8)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(esk1_1(X6),X11)
| ~ q(X11)
| ~ reachable(initial_world,X6) )
& ( ~ reachable(X8,X9)
| ~ q(X9)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(esk1_1(X6),X10)
| ~ p(X10)
| ~ reachable(initial_world,X6) )
& ( ~ p(X8)
| ~ reachable(esk1_1(X6),X8)
| ~ reachable(esk1_1(X6),X10)
| ~ p(X10)
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk1_1(X6),esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| reachable(esk2_1(X6),esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| reachable(esk1_1(X6),esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(esk1_1(X6),esk5_1(X6))
| p(esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( q(esk5_1(X6))
| p(esk4_1(X6))
| q(esk3_1(X6))
| p(esk2_1(X6))
| ~ reachable(initial_world,X6) )
& ( reachable(X6,esk1_1(X6))
| ~ reachable(initial_world,X6) ) ),
inference(distribute,[status(thm)],[8]) ).
cnf(11,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(12,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(13,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(14,negated_conjecture,
( p(esk2_1(X1))
| q(esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(15,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(16,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(17,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(18,negated_conjecture,
( p(esk2_1(X1))
| reachable(esk2_1(X1),esk3_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(19,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| p(esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(20,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| p(esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(21,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| q(esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(22,negated_conjecture,
( reachable(esk1_1(X1),esk2_1(X1))
| reachable(esk1_1(X1),esk4_1(X1))
| reachable(esk1_1(X1),esk5_1(X1))
| ~ reachable(initial_world,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(23,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ p(X2)
| ~ reachable(esk1_1(X1),X2)
| ~ reachable(esk1_1(X1),X3)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(24,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ p(X2)
| ~ reachable(esk1_1(X1),X2)
| ~ reachable(esk1_1(X1),X3)
| ~ q(X4)
| ~ reachable(X3,X4) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(25,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ q(X2)
| ~ reachable(esk1_1(X1),X2)
| ~ reachable(esk1_1(X1),X3)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(26,negated_conjecture,
( ~ reachable(initial_world,X1)
| ~ q(X2)
| ~ reachable(esk1_1(X1),X2)
| ~ reachable(esk1_1(X1),X3)
| ~ q(X4)
| ~ reachable(X3,X4) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(27,plain,
! [X1,X2,X3] :
( ~ reachable(X1,X2)
| ~ reachable(X2,X3)
| reachable(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X4,X5,X6] :
( ~ reachable(X4,X5)
| ~ reachable(X5,X6)
| reachable(X4,X6) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( reachable(X1,X2)
| ~ reachable(X3,X2)
| ~ reachable(X1,X3) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X2] : reachable(X2,X2),
inference(variable_rename,[status(thm)],[3]) ).
cnf(31,plain,
reachable(X1,X1),
inference(split_conjunct,[status(thm)],[30]) ).
cnf(34,negated_conjecture,
( q(esk5_1(initial_world))
| q(esk3_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[11,31,theory(equality)]) ).
cnf(35,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(spm,[status(thm)],[19,31,theory(equality)]) ).
cnf(36,negated_conjecture,
( q(esk3_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[12,31,theory(equality)]) ).
cnf(37,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(spm,[status(thm)],[15,31,theory(equality)]) ).
cnf(38,negated_conjecture,
( ~ p(X1)
| ~ p(X2)
| ~ reachable(esk1_1(initial_world),X1)
| ~ reachable(esk1_1(initial_world),X2) ),
inference(spm,[status(thm)],[23,31,theory(equality)]) ).
fof(39,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ reachable(esk1_1(initial_world),X1)
| ~ p(X1) ) ),
introduced(definition),
[split] ).
cnf(40,plain,
( epred1_0
| ~ reachable(esk1_1(initial_world),X1)
| ~ p(X1) ),
inference(split_equiv,[status(thm)],[39]) ).
fof(41,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ) ),
introduced(definition),
[split] ).
cnf(42,plain,
( epred2_0
| ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ),
inference(split_equiv,[status(thm)],[41]) ).
cnf(43,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[38,39,theory(equality)]),41,theory(equality)]),
[split] ).
cnf(44,negated_conjecture,
( q(esk5_1(initial_world))
| q(esk3_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[13,31,theory(equality)]) ).
cnf(45,negated_conjecture,
( ~ q(X1)
| ~ p(X2)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[25,31,theory(equality)]) ).
fof(46,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ reachable(esk1_1(initial_world),X1)
| ~ q(X1) ) ),
introduced(definition),
[split] ).
cnf(47,plain,
( epred3_0
| ~ reachable(esk1_1(initial_world),X1)
| ~ q(X1) ),
inference(split_equiv,[status(thm)],[46]) ).
fof(48,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ) ),
introduced(definition),
[split] ).
cnf(49,plain,
( epred4_0
| ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ),
inference(split_equiv,[status(thm)],[48]) ).
cnf(50,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[45,46,theory(equality)]),48,theory(equality)]),
[split] ).
cnf(51,negated_conjecture,
( p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(spm,[status(thm)],[20,31,theory(equality)]) ).
cnf(52,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(spm,[status(thm)],[21,31,theory(equality)]) ).
cnf(53,negated_conjecture,
( ~ q(X1)
| ~ p(X2)
| ~ reachable(esk1_1(initial_world),X3)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X3,X1) ),
inference(spm,[status(thm)],[24,31,theory(equality)]) ).
fof(54,plain,
( ~ epred5_0
<=> ! [X3,X1] :
( ~ reachable(X3,X1)
| ~ reachable(esk1_1(initial_world),X3)
| ~ q(X1) ) ),
introduced(definition),
[split] ).
cnf(55,plain,
( epred5_0
| ~ reachable(X3,X1)
| ~ reachable(esk1_1(initial_world),X3)
| ~ q(X1) ),
inference(split_equiv,[status(thm)],[54]) ).
fof(56,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ) ),
introduced(definition),
[split] ).
cnf(57,plain,
( epred6_0
| ~ reachable(esk1_1(initial_world),X2)
| ~ p(X2) ),
inference(split_equiv,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[53,54,theory(equality)]),56,theory(equality)]),
[split] ).
cnf(59,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(spm,[status(thm)],[16,31,theory(equality)]) ).
cnf(60,negated_conjecture,
( q(esk3_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[14,31,theory(equality)]) ).
cnf(61,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[17,31,theory(equality)]) ).
cnf(62,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(spm,[status(thm)],[22,31,theory(equality)]) ).
cnf(63,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(spm,[status(thm)],[18,31,theory(equality)]) ).
cnf(64,negated_conjecture,
( ~ q(X1)
| ~ q(X2)
| ~ reachable(esk1_1(initial_world),X3)
| ~ reachable(esk1_1(initial_world),X2)
| ~ reachable(X3,X1) ),
inference(spm,[status(thm)],[26,31,theory(equality)]) ).
fof(65,plain,
( ~ epred7_0
<=> ! [X3,X1] :
( ~ reachable(X3,X1)
| ~ reachable(esk1_1(initial_world),X3)
| ~ q(X1) ) ),
introduced(definition),
[split] ).
cnf(66,plain,
( epred7_0
| ~ reachable(X3,X1)
| ~ reachable(esk1_1(initial_world),X3)
| ~ q(X1) ),
inference(split_equiv,[status(thm)],[65]) ).
fof(67,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ reachable(esk1_1(initial_world),X2)
| ~ q(X2) ) ),
introduced(definition),
[split] ).
cnf(68,plain,
( epred8_0
| ~ reachable(esk1_1(initial_world),X2)
| ~ q(X2) ),
inference(split_equiv,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[64,65,theory(equality)]),67,theory(equality)]),
[split] ).
cnf(117,negated_conjecture,
( reachable(X1,esk3_1(initial_world))
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[29,37,theory(equality)]) ).
cnf(130,negated_conjecture,
( epred3_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[47,51,theory(equality)]) ).
cnf(133,negated_conjecture,
( epred8_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[68,51,theory(equality)]) ).
cnf(135,negated_conjecture,
( epred5_0
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[55,31,theory(equality)]) ).
cnf(140,negated_conjecture,
( epred5_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,51,theory(equality)]) ).
cnf(143,negated_conjecture,
( reachable(X1,esk3_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[29,59,theory(equality)]) ).
cnf(145,negated_conjecture,
( epred7_0
| ~ q(X1)
| ~ reachable(esk1_1(initial_world),X1) ),
inference(spm,[status(thm)],[66,31,theory(equality)]) ).
cnf(150,negated_conjecture,
( epred7_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[145,51,theory(equality)]) ).
cnf(152,negated_conjecture,
( epred3_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[130,35]) ).
cnf(153,negated_conjecture,
( epred8_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[133,35]) ).
cnf(154,negated_conjecture,
( epred5_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[140,35]) ).
cnf(158,negated_conjecture,
( reachable(X1,esk3_1(initial_world))
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[29,61,theory(equality)]) ).
cnf(159,negated_conjecture,
( epred7_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[150,35]) ).
cnf(214,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[47,62,theory(equality)]) ).
cnf(217,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[68,62,theory(equality)]) ).
cnf(219,negated_conjecture,
( epred5_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,62,theory(equality)]) ).
cnf(221,negated_conjecture,
( epred7_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[145,62,theory(equality)]) ).
cnf(222,negated_conjecture,
( reachable(X1,esk3_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ reachable(X1,esk2_1(initial_world)) ),
inference(spm,[status(thm)],[29,63,theory(equality)]) ).
cnf(237,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[214,52]) ).
cnf(243,negated_conjecture,
( epred6_0
| epred3_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[57,237,theory(equality)]) ).
cnf(335,negated_conjecture,
( epred6_0
| epred3_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[243,152]) ).
cnf(341,negated_conjecture,
( epred6_0
| epred3_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,335,theory(equality)]) ).
cnf(495,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred6_0
| epred3_0 ),
inference(spm,[status(thm)],[117,335,theory(equality)]) ).
cnf(567,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred6_0
| epred3_0 ),
inference(spm,[status(thm)],[143,335,theory(equality)]) ).
cnf(593,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred6_0
| epred3_0 ),
inference(spm,[status(thm)],[158,335,theory(equality)]) ).
cnf(598,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[217,52]) ).
cnf(604,negated_conjecture,
( epred6_0
| epred8_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[57,598,theory(equality)]) ).
cnf(705,negated_conjecture,
( epred8_0
| epred6_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[604,153]) ).
cnf(711,negated_conjecture,
( epred6_0
| epred8_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,705,theory(equality)]) ).
cnf(717,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred8_0
| epred6_0 ),
inference(spm,[status(thm)],[117,705,theory(equality)]) ).
cnf(718,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred8_0
| epred6_0 ),
inference(spm,[status(thm)],[143,705,theory(equality)]) ).
cnf(719,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred8_0
| epred6_0 ),
inference(spm,[status(thm)],[158,705,theory(equality)]) ).
cnf(1077,negated_conjecture,
( epred5_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[219,52]) ).
cnf(1079,negated_conjecture,
( epred1_0
| epred5_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[40,1077,theory(equality)]) ).
cnf(1080,negated_conjecture,
( epred2_0
| epred5_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[42,1077,theory(equality)]) ).
cnf(1100,negated_conjecture,
( epred7_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[221,52]) ).
cnf(1106,negated_conjecture,
( epred6_0
| epred7_0
| reachable(esk1_1(initial_world),esk2_1(initial_world))
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[57,1100,theory(equality)]) ).
cnf(1119,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred6_0
| epred3_0 ),
inference(spm,[status(thm)],[222,335,theory(equality)]) ).
cnf(1127,negated_conjecture,
( p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred8_0
| epred6_0 ),
inference(spm,[status(thm)],[222,705,theory(equality)]) ).
cnf(1150,negated_conjecture,
( epred5_0
| epred1_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[1079,154]) ).
cnf(1152,negated_conjecture,
( epred1_0
| epred5_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[40,1150,theory(equality)]) ).
cnf(1158,negated_conjecture,
( epred5_0
| epred1_0
| ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(spm,[status(thm)],[55,1150,theory(equality)]) ).
cnf(1163,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred5_0
| epred1_0 ),
inference(spm,[status(thm)],[143,1150,theory(equality)]) ).
cnf(1164,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred5_0
| epred1_0 ),
inference(spm,[status(thm)],[158,1150,theory(equality)]) ).
cnf(1169,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[1158,37,theory(equality)]) ).
cnf(1172,negated_conjecture,
( epred5_0
| epred1_0
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[1158,63,theory(equality)]) ).
cnf(1207,negated_conjecture,
( epred5_0
| epred2_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[1080,154]) ).
cnf(1210,negated_conjecture,
( epred2_0
| epred5_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[42,1207,theory(equality)]) ).
cnf(1215,negated_conjecture,
( epred5_0
| epred2_0
| ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(spm,[status(thm)],[55,1207,theory(equality)]) ).
cnf(1220,negated_conjecture,
( p(esk4_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred5_0
| epred2_0 ),
inference(spm,[status(thm)],[143,1207,theory(equality)]) ).
cnf(1221,negated_conjecture,
( q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| epred5_0
| epred2_0 ),
inference(spm,[status(thm)],[158,1207,theory(equality)]) ).
cnf(1225,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[1215,37,theory(equality)]) ).
cnf(1228,negated_conjecture,
( epred5_0
| epred2_0
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[1215,63,theory(equality)]) ).
cnf(1436,negated_conjecture,
( epred7_0
| epred6_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(csr,[status(thm)],[1106,159]) ).
cnf(1442,negated_conjecture,
( epred6_0
| epred7_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,1436,theory(equality)]) ).
cnf(1446,negated_conjecture,
( epred7_0
| epred6_0
| ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(spm,[status(thm)],[66,1436,theory(equality)]) ).
cnf(1454,negated_conjecture,
( epred7_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[1446,37,theory(equality)]) ).
cnf(3256,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[1169,34]) ).
cnf(3257,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[3256,1152]) ).
cnf(3478,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[1225,34]) ).
cnf(3479,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[3478,1210]) ).
cnf(3545,negated_conjecture,
( epred7_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[1454,34]) ).
cnf(3546,negated_conjecture,
( epred7_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[3545,1442]) ).
cnf(3550,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world)) ),
inference(csr,[status(thm)],[495,341]) ).
cnf(3554,negated_conjecture,
( epred3_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[47,3550,theory(equality)]) ).
cnf(3562,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[3554,34,theory(equality)]) ).
cnf(3566,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[3562,341]) ).
cnf(4784,negated_conjecture,
( epred6_0
| epred3_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[567,341]) ).
cnf(4788,negated_conjecture,
( epred3_0
| epred6_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[47,4784,theory(equality)]) ).
cnf(5100,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[593,341]) ).
cnf(5104,negated_conjecture,
( epred3_0
| epred6_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[47,5100,theory(equality)]) ).
cnf(5570,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world)) ),
inference(csr,[status(thm)],[717,711]) ).
cnf(5577,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[68,5570,theory(equality)]) ).
cnf(5582,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[5577,34,theory(equality)]) ).
cnf(5586,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[5582,711]) ).
cnf(5593,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[718,711]) ).
cnf(5600,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[68,5593,theory(equality)]) ).
cnf(5621,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[719,711]) ).
cnf(5628,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[68,5621,theory(equality)]) ).
cnf(5864,negated_conjecture,
( epred6_0
| epred3_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[4788,36,theory(equality)]) ).
cnf(5867,negated_conjecture,
( epred6_0
| epred3_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[5864,341]) ).
cnf(5871,negated_conjecture,
( epred3_0
| epred6_0
| p(esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[47,5867,theory(equality)]) ).
cnf(5880,negated_conjecture,
( epred6_0
| epred3_0
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[5871,3566]) ).
cnf(5979,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[5104,44,theory(equality)]) ).
cnf(5981,negated_conjecture,
( epred6_0
| epred3_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[5979,341]) ).
cnf(6114,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[5600,36,theory(equality)]) ).
cnf(6117,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[6114,711]) ).
cnf(6124,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[68,6117,theory(equality)]) ).
cnf(6130,negated_conjecture,
( epred8_0
| epred6_0
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[6124,5586]) ).
cnf(6135,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[5628,44,theory(equality)]) ).
cnf(6137,negated_conjecture,
( epred8_0
| epred6_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[6135,711]) ).
cnf(9174,negated_conjecture,
( epred6_0
| epred3_0
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1119,341]) ).
cnf(9361,negated_conjecture,
( epred8_0
| epred6_0
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1127,711]) ).
cnf(10049,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1163,1152]) ).
cnf(10058,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[135,10049,theory(equality)]) ).
cnf(10062,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[10058,36,theory(equality)]) ).
cnf(10065,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[10062,1152]) ).
cnf(10074,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,10065,theory(equality)]) ).
cnf(10078,negated_conjecture,
( epred5_0
| epred1_0
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10074,3257]) ).
cnf(10083,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[1164,1152]) ).
cnf(10092,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[135,10083,theory(equality)]) ).
cnf(10097,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[10092,44,theory(equality)]) ).
cnf(10099,negated_conjecture,
( epred5_0
| epred1_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10097,1152]) ).
cnf(10237,negated_conjecture,
( epred5_0
| epred1_0
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1172,60]) ).
cnf(10238,negated_conjecture,
( epred5_0
| epred1_0
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10237,1152]) ).
cnf(10247,negated_conjecture,
( epred5_0
| epred1_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,10238,theory(equality)]) ).
cnf(10302,negated_conjecture,
( epred5_0
| epred1_0
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10247,10099]) ).
cnf(10304,negated_conjecture,
( epred1_0
| epred5_0
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[40,10302,theory(equality)]) ).
cnf(10314,negated_conjecture,
( epred5_0
| epred1_0 ),
inference(csr,[status(thm)],[10304,10078]) ).
cnf(10602,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1220,1210]) ).
cnf(10611,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[135,10602,theory(equality)]) ).
cnf(10615,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[10611,36,theory(equality)]) ).
cnf(10618,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[10615,1210]) ).
cnf(10627,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,10618,theory(equality)]) ).
cnf(10631,negated_conjecture,
( epred5_0
| epred2_0
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10627,3479]) ).
cnf(10635,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[1221,1210]) ).
cnf(10644,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[135,10635,theory(equality)]) ).
cnf(10649,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[10644,44,theory(equality)]) ).
cnf(10651,negated_conjecture,
( epred5_0
| epred2_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10649,1210]) ).
cnf(10757,negated_conjecture,
( epred5_0
| epred2_0
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[1228,60]) ).
cnf(10758,negated_conjecture,
( epred5_0
| epred2_0
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10757,1210]) ).
cnf(10767,negated_conjecture,
( epred5_0
| epred2_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[135,10758,theory(equality)]) ).
cnf(10771,negated_conjecture,
( epred5_0
| epred2_0
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[10767,10651]) ).
cnf(10774,negated_conjecture,
( epred2_0
| epred5_0
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[42,10771,theory(equality)]) ).
cnf(10783,negated_conjecture,
( epred5_0
| epred2_0 ),
inference(csr,[status(thm)],[10774,10631]) ).
cnf(10784,negated_conjecture,
( epred5_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[43,10783,theory(equality)]) ).
cnf(10785,negated_conjecture,
epred5_0,
inference(csr,[status(thm)],[10784,10314]) ).
cnf(10894,negated_conjecture,
( ~ epred6_0
| $false ),
inference(rw,[status(thm)],[58,10785,theory(equality)]) ).
cnf(10895,negated_conjecture,
~ epred6_0,
inference(cn,[status(thm)],[10894,theory(equality)]) ).
cnf(10902,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(sr,[status(thm)],[335,10895,theory(equality)]) ).
cnf(10905,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(sr,[status(thm)],[705,10895,theory(equality)]) ).
cnf(10908,negated_conjecture,
( epred7_0
| reachable(esk1_1(initial_world),esk2_1(initial_world)) ),
inference(sr,[status(thm)],[1436,10895,theory(equality)]) ).
cnf(10917,negated_conjecture,
( epred7_0
| q(esk5_1(initial_world))
| p(esk4_1(initial_world)) ),
inference(sr,[status(thm)],[3546,10895,theory(equality)]) ).
cnf(10933,negated_conjecture,
( epred3_0
| p(esk4_1(initial_world)) ),
inference(sr,[status(thm)],[5880,10895,theory(equality)]) ).
cnf(10934,negated_conjecture,
( epred3_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(sr,[status(thm)],[5981,10895,theory(equality)]) ).
cnf(10935,negated_conjecture,
( epred8_0
| p(esk4_1(initial_world)) ),
inference(sr,[status(thm)],[6130,10895,theory(equality)]) ).
cnf(10936,negated_conjecture,
( epred8_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(sr,[status(thm)],[6137,10895,theory(equality)]) ).
cnf(10949,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(sr,[status(thm)],[9174,10895,theory(equality)]) ).
cnf(10951,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(sr,[status(thm)],[9361,10895,theory(equality)]) ).
cnf(10958,negated_conjecture,
( epred6_0
| epred3_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,10902,theory(equality)]) ).
cnf(10978,negated_conjecture,
( epred3_0
| ~ p(esk2_1(initial_world)) ),
inference(sr,[status(thm)],[10958,10895,theory(equality)]) ).
cnf(11162,negated_conjecture,
( epred6_0
| epred8_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,10905,theory(equality)]) ).
cnf(11182,negated_conjecture,
( epred8_0
| ~ p(esk2_1(initial_world)) ),
inference(sr,[status(thm)],[11162,10895,theory(equality)]) ).
cnf(11208,negated_conjecture,
( epred6_0
| epred7_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[57,10908,theory(equality)]) ).
cnf(11210,negated_conjecture,
( epred7_0
| ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(spm,[status(thm)],[66,10908,theory(equality)]) ).
cnf(11228,negated_conjecture,
( epred7_0
| ~ p(esk2_1(initial_world)) ),
inference(sr,[status(thm)],[11208,10895,theory(equality)]) ).
cnf(11240,negated_conjecture,
( epred7_0
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[11210,59,theory(equality)]) ).
cnf(11241,negated_conjecture,
( epred7_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[11210,61,theory(equality)]) ).
cnf(11553,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[47,10949,theory(equality)]) ).
cnf(11573,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[68,10951,theory(equality)]) ).
cnf(11909,negated_conjecture,
( epred7_0
| p(esk2_1(initial_world))
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[11240,36]) ).
cnf(11910,negated_conjecture,
( epred7_0
| p(esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[11909,11228]) ).
cnf(11919,negated_conjecture,
( epred7_0
| p(esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[145,11910,theory(equality)]) ).
cnf(11922,negated_conjecture,
( epred7_0
| p(esk4_1(initial_world)) ),
inference(csr,[status(thm)],[11919,10917]) ).
cnf(11923,negated_conjecture,
( epred7_0
| q(esk5_1(initial_world))
| p(esk2_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[11241,44]) ).
cnf(11924,negated_conjecture,
( epred7_0
| q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[11923,11228]) ).
cnf(11928,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[11553,60,theory(equality)]) ).
cnf(11929,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[11928,10978]) ).
cnf(11933,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[47,11929,theory(equality)]) ).
cnf(11941,negated_conjecture,
( epred3_0
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[11933,10934]) ).
cnf(11947,negated_conjecture,
( epred6_0
| epred3_0
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[57,11941,theory(equality)]) ).
cnf(11951,negated_conjecture,
( epred3_0
| ~ p(esk4_1(initial_world)) ),
inference(sr,[status(thm)],[11947,10895,theory(equality)]) ).
cnf(11952,negated_conjecture,
epred3_0,
inference(csr,[status(thm)],[11951,10933]) ).
cnf(12006,negated_conjecture,
( ~ epred4_0
| $false ),
inference(rw,[status(thm)],[50,11952,theory(equality)]) ).
cnf(12007,negated_conjecture,
~ epred4_0,
inference(cn,[status(thm)],[12006,theory(equality)]) ).
cnf(12011,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[11573,60,theory(equality)]) ).
cnf(12012,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(csr,[status(thm)],[12011,11182]) ).
cnf(12018,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[68,12012,theory(equality)]) ).
cnf(12035,negated_conjecture,
( epred8_0
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[12018,10936]) ).
cnf(12039,negated_conjecture,
( epred4_0
| epred8_0
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[49,12035,theory(equality)]) ).
cnf(12044,negated_conjecture,
( epred8_0
| ~ p(esk4_1(initial_world)) ),
inference(sr,[status(thm)],[12039,12007,theory(equality)]) ).
cnf(12046,negated_conjecture,
epred8_0,
inference(csr,[status(thm)],[12044,10935]) ).
cnf(12098,negated_conjecture,
( $false
| ~ epred7_0 ),
inference(rw,[status(thm)],[69,12046,theory(equality)]) ).
cnf(12099,negated_conjecture,
~ epred7_0,
inference(cn,[status(thm)],[12098,theory(equality)]) ).
cnf(12122,negated_conjecture,
reachable(esk1_1(initial_world),esk2_1(initial_world)),
inference(sr,[status(thm)],[10908,12099,theory(equality)]) ).
cnf(12126,negated_conjecture,
p(esk4_1(initial_world)),
inference(sr,[status(thm)],[11922,12099,theory(equality)]) ).
cnf(12127,negated_conjecture,
( q(esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(sr,[status(thm)],[11924,12099,theory(equality)]) ).
cnf(12255,negated_conjecture,
( epred4_0
| ~ p(esk2_1(initial_world)) ),
inference(spm,[status(thm)],[49,12122,theory(equality)]) ).
cnf(12257,negated_conjecture,
( epred7_0
| ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(spm,[status(thm)],[66,12122,theory(equality)]) ).
cnf(12288,negated_conjecture,
~ p(esk2_1(initial_world)),
inference(sr,[status(thm)],[12255,12007,theory(equality)]) ).
cnf(12290,negated_conjecture,
( ~ q(X1)
| ~ reachable(esk2_1(initial_world),X1) ),
inference(sr,[status(thm)],[12257,12099,theory(equality)]) ).
cnf(12329,negated_conjecture,
( q(esk3_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world)) ),
inference(sr,[status(thm)],[60,12288,theory(equality)]) ).
cnf(12331,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk2_1(initial_world),esk3_1(initial_world)) ),
inference(sr,[status(thm)],[63,12288,theory(equality)]) ).
cnf(12714,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk3_1(initial_world)) ),
inference(spm,[status(thm)],[12290,12331,theory(equality)]) ).
cnf(12786,negated_conjecture,
( reachable(esk1_1(initial_world),esk5_1(initial_world))
| reachable(esk1_1(initial_world),esk4_1(initial_world)) ),
inference(csr,[status(thm)],[12714,12329]) ).
cnf(12793,negated_conjecture,
( epred7_0
| reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(spm,[status(thm)],[145,12786,theory(equality)]) ).
cnf(12797,negated_conjecture,
( reachable(esk1_1(initial_world),esk4_1(initial_world))
| ~ q(esk5_1(initial_world)) ),
inference(sr,[status(thm)],[12793,12099,theory(equality)]) ).
cnf(12799,negated_conjecture,
reachable(esk1_1(initial_world),esk4_1(initial_world)),
inference(csr,[status(thm)],[12797,12127]) ).
cnf(12803,negated_conjecture,
( epred4_0
| ~ p(esk4_1(initial_world)) ),
inference(spm,[status(thm)],[49,12799,theory(equality)]) ).
cnf(12814,negated_conjecture,
( epred4_0
| $false ),
inference(rw,[status(thm)],[12803,12126,theory(equality)]) ).
cnf(12815,negated_conjecture,
epred4_0,
inference(cn,[status(thm)],[12814,theory(equality)]) ).
cnf(12816,negated_conjecture,
$false,
inference(sr,[status(thm)],[12815,12007,theory(equality)]) ).
cnf(12817,negated_conjecture,
$false,
12816,
[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/SYN/SYN549+1.p
% --creating new selector for []
% -running prover on /tmp/tmpE0rT8k/sel_SYN549+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN549+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN549+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN549+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
%
%------------------------------------------------------------------------------