%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRA014+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 09:57:50 EST 2010
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 6
% Syntax : Number of formulae : 227 ( 17 unt; 0 def)
% Number of atoms : 736 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 714 ( 205 ~; 496 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 140 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( less_than(n1,n2)
& less_than(n2,n3)
& less_than(n3,n4)
& less_than(n4,n5)
& less_than(n5,n6) ),
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',ordering) ).
fof(2,axiom,
! [X1,X2] :
( less_than(X1,X2)
=> ( red(X1,X2)
| green(X1,X2) ) ),
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',partition) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( red(X1,X2)
& red(X2,X3)
& red(X1,X3) )
=> goal ),
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',red_clique) ).
fof(4,conjecture,
goal,
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',goal_to_be_proved) ).
fof(5,axiom,
! [X1,X2,X3] :
( ( green(X1,X2)
& green(X2,X3)
& green(X1,X3) )
=> goal ),
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',green_clique) ).
fof(6,axiom,
! [X1,X2,X3] :
( ( less_than(X1,X2)
& less_than(X2,X3) )
=> less_than(X1,X3) ),
file('/tmp/tmpzIThsK/sel_GRA014+1.p_1',less_than_transitive) ).
fof(7,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[4]) ).
fof(8,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
cnf(9,plain,
less_than(n5,n6),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(10,plain,
less_than(n4,n5),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(11,plain,
less_than(n3,n4),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(12,plain,
less_than(n2,n3),
inference(split_conjunct,[status(thm)],[1]) ).
cnf(13,plain,
less_than(n1,n2),
inference(split_conjunct,[status(thm)],[1]) ).
fof(14,plain,
! [X1,X2] :
( ~ less_than(X1,X2)
| red(X1,X2)
| green(X1,X2) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(15,plain,
! [X3,X4] :
( ~ less_than(X3,X4)
| red(X3,X4)
| green(X3,X4) ),
inference(variable_rename,[status(thm)],[14]) ).
cnf(16,plain,
( green(X1,X2)
| red(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,plain,
! [X1,X2,X3] :
( ~ red(X1,X2)
| ~ red(X2,X3)
| ~ red(X1,X3)
| goal ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(18,plain,
! [X4,X5,X6] :
( ~ red(X4,X5)
| ~ red(X5,X6)
| ~ red(X4,X6)
| goal ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(19,plain,
( goal
| ~ red(X1,X2)
| ~ red(X3,X2)
| ~ red(X1,X3) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[8]) ).
fof(21,plain,
! [X1,X2,X3] :
( ~ green(X1,X2)
| ~ green(X2,X3)
| ~ green(X1,X3)
| goal ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(22,plain,
! [X4,X5,X6] :
( ~ green(X4,X5)
| ~ green(X5,X6)
| ~ green(X4,X6)
| goal ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(23,plain,
( goal
| ~ green(X1,X2)
| ~ green(X3,X2)
| ~ green(X1,X3) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X1,X2,X3] :
( ~ less_than(X1,X2)
| ~ less_than(X2,X3)
| less_than(X1,X3) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(25,plain,
! [X4,X5,X6] :
( ~ less_than(X4,X5)
| ~ less_than(X5,X6)
| less_than(X4,X6) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( less_than(X1,X2)
| ~ less_than(X3,X2)
| ~ less_than(X1,X3) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,plain,
( less_than(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[26,12,theory(equality)]) ).
cnf(29,plain,
( less_than(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[26,11,theory(equality)]) ).
cnf(30,plain,
( less_than(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[26,10,theory(equality)]) ).
cnf(31,plain,
( less_than(X1,n6)
| ~ less_than(X1,n5) ),
inference(spm,[status(thm)],[26,9,theory(equality)]) ).
cnf(32,plain,
( ~ red(X3,X2)
| ~ red(X1,X3)
| ~ red(X1,X2) ),
inference(sr,[status(thm)],[19,20,theory(equality)]) ).
cnf(33,plain,
( ~ green(X3,X2)
| ~ green(X1,X3)
| ~ green(X1,X2) ),
inference(sr,[status(thm)],[23,20,theory(equality)]) ).
cnf(34,plain,
( red(X1,X2)
| ~ green(X3,X1)
| ~ green(X3,X2)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[33,16,theory(equality)]) ).
cnf(35,plain,
( red(X1,X2)
| red(X3,X1)
| ~ green(X3,X2)
| ~ less_than(X1,X2)
| ~ less_than(X3,X1) ),
inference(spm,[status(thm)],[34,16,theory(equality)]) ).
cnf(36,plain,
( red(X1,X2)
| red(X2,X3)
| red(X1,X3)
| ~ less_than(X2,X3)
| ~ less_than(X1,X2)
| ~ less_than(X1,X3) ),
inference(spm,[status(thm)],[35,16,theory(equality)]) ).
cnf(37,plain,
( red(X1,X2)
| red(X2,X3)
| red(X1,X3)
| ~ less_than(X2,X3)
| ~ less_than(X1,X2) ),
inference(csr,[status(thm)],[36,26]) ).
cnf(39,plain,
( red(X1,n3)
| red(n2,n3)
| red(X1,n2)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[37,12,theory(equality)]) ).
cnf(40,plain,
( red(X1,n4)
| red(n3,n4)
| red(X1,n3)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[37,11,theory(equality)]) ).
cnf(41,plain,
( red(X1,n5)
| red(n4,n5)
| red(X1,n4)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[37,10,theory(equality)]) ).
cnf(42,plain,
( red(X1,n6)
| red(n5,n6)
| red(X1,n5)
| ~ less_than(X1,n5) ),
inference(spm,[status(thm)],[37,9,theory(equality)]) ).
cnf(45,plain,
( less_than(X1,n4)
| ~ less_than(X1,X2)
| ~ less_than(X2,n3) ),
inference(spm,[status(thm)],[26,29,theory(equality)]) ).
cnf(46,plain,
( red(X1,n4)
| red(X2,n4)
| red(X1,X2)
| ~ less_than(X1,X2)
| ~ less_than(X2,n3) ),
inference(spm,[status(thm)],[37,29,theory(equality)]) ).
cnf(47,plain,
( less_than(X1,n5)
| ~ less_than(X1,X2)
| ~ less_than(X2,n4) ),
inference(spm,[status(thm)],[26,30,theory(equality)]) ).
cnf(48,plain,
( red(X1,n5)
| red(X2,n5)
| red(X1,X2)
| ~ less_than(X1,X2)
| ~ less_than(X2,n4) ),
inference(spm,[status(thm)],[37,30,theory(equality)]) ).
cnf(49,plain,
( less_than(X1,n6)
| ~ less_than(X1,X2)
| ~ less_than(X2,n5) ),
inference(spm,[status(thm)],[26,31,theory(equality)]) ).
cnf(50,plain,
( red(X1,n6)
| red(X2,n6)
| red(X1,X2)
| ~ less_than(X1,X2)
| ~ less_than(X2,n5) ),
inference(spm,[status(thm)],[37,31,theory(equality)]) ).
cnf(51,plain,
( red(n2,n3)
| red(n1,n2)
| red(n1,n3) ),
inference(spm,[status(thm)],[39,13,theory(equality)]) ).
cnf(53,plain,
( red(n3,n4)
| red(n2,n3)
| red(n2,n4) ),
inference(spm,[status(thm)],[40,12,theory(equality)]) ).
cnf(54,plain,
( red(n3,n4)
| red(X1,n3)
| red(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[40,28,theory(equality)]) ).
cnf(55,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[32,53,theory(equality)]) ).
cnf(57,plain,
( less_than(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[45,12,theory(equality)]) ).
cnf(59,plain,
( red(n4,n5)
| red(n3,n4)
| red(n3,n5) ),
inference(spm,[status(thm)],[41,11,theory(equality)]) ).
cnf(60,plain,
( red(n4,n5)
| red(X1,n4)
| red(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[41,29,theory(equality)]) ).
cnf(61,plain,
( red(n3,n5)
| red(n3,n4)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,59,theory(equality)]) ).
cnf(62,plain,
( red(n5,n6)
| red(n4,n5)
| red(n4,n6) ),
inference(spm,[status(thm)],[42,10,theory(equality)]) ).
cnf(63,plain,
( red(n5,n6)
| red(X1,n5)
| red(X1,n6)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[42,30,theory(equality)]) ).
cnf(64,plain,
( red(n4,n6)
| red(n4,n5)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,62,theory(equality)]) ).
cnf(65,plain,
( red(n3,n4)
| red(n1,n4)
| red(n1,n3) ),
inference(spm,[status(thm)],[54,13,theory(equality)]) ).
cnf(68,plain,
( red(n4,n5)
| red(X1,n4)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[41,57,theory(equality)]) ).
cnf(70,plain,
( less_than(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[47,11,theory(equality)]) ).
cnf(74,plain,
( red(X1,n5)
| red(X2,n5)
| red(X1,X2)
| ~ less_than(X1,X2)
| ~ less_than(X2,n3) ),
inference(spm,[status(thm)],[37,70,theory(equality)]) ).
cnf(75,plain,
( red(n5,n6)
| red(X1,n5)
| red(X1,n6)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[42,70,theory(equality)]) ).
cnf(77,plain,
( red(n4,n5)
| red(n2,n5)
| red(n2,n4) ),
inference(spm,[status(thm)],[60,12,theory(equality)]) ).
cnf(79,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,77,theory(equality)]) ).
cnf(80,plain,
( red(n5,n6)
| red(n3,n6)
| red(n3,n5) ),
inference(spm,[status(thm)],[63,11,theory(equality)]) ).
cnf(82,plain,
( red(n5,n6)
| red(X1,n6)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[63,57,theory(equality)]) ).
cnf(83,plain,
( red(n3,n5)
| red(n3,n6)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,80,theory(equality)]) ).
cnf(84,plain,
( less_than(X1,n6)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[49,10,theory(equality)]) ).
cnf(88,plain,
( red(X1,n6)
| red(X2,n6)
| red(X1,X2)
| ~ less_than(X1,X2)
| ~ less_than(X2,n4) ),
inference(spm,[status(thm)],[37,84,theory(equality)]) ).
cnf(90,plain,
( red(n2,n4)
| red(X1,n4)
| red(X1,n2)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[46,12,theory(equality)]) ).
cnf(92,plain,
( red(n4,n5)
| red(n1,n5)
| red(n1,n4) ),
inference(spm,[status(thm)],[68,13,theory(equality)]) ).
cnf(94,plain,
( red(n5,n6)
| red(n2,n6)
| red(n2,n5) ),
inference(spm,[status(thm)],[75,12,theory(equality)]) ).
cnf(96,plain,
( red(n2,n5)
| red(n2,n6)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,94,theory(equality)]) ).
cnf(104,plain,
( red(n3,n5)
| red(X1,n5)
| red(X1,n3)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[48,11,theory(equality)]) ).
cnf(107,plain,
( red(n5,n6)
| red(n1,n5)
| red(n1,n6) ),
inference(spm,[status(thm)],[82,13,theory(equality)]) ).
cnf(112,plain,
( red(n4,n6)
| red(X1,n6)
| red(X1,n4)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[50,10,theory(equality)]) ).
cnf(114,plain,
( red(X1,n6)
| red(X2,n6)
| red(X2,X1)
| ~ less_than(X2,X1)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[50,70,theory(equality)]) ).
cnf(116,plain,
( red(n2,n4)
| red(n1,n2)
| red(n1,n4) ),
inference(spm,[status(thm)],[90,13,theory(equality)]) ).
cnf(124,plain,
( red(n3,n5)
| red(n2,n3)
| red(n2,n5) ),
inference(spm,[status(thm)],[104,12,theory(equality)]) ).
cnf(125,plain,
( red(n3,n5)
| red(X1,n3)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[104,28,theory(equality)]) ).
cnf(126,plain,
( red(n2,n5)
| red(n2,n3)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,124,theory(equality)]) ).
cnf(127,plain,
( red(n4,n6)
| red(n3,n4)
| red(n3,n6) ),
inference(spm,[status(thm)],[112,11,theory(equality)]) ).
cnf(128,plain,
( red(n4,n6)
| red(X1,n4)
| red(X1,n6)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[112,29,theory(equality)]) ).
cnf(129,plain,
( red(n4,n6)
| red(X1,n4)
| red(X1,n6)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[112,57,theory(equality)]) ).
cnf(130,plain,
( red(n3,n6)
| red(n3,n4)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,127,theory(equality)]) ).
cnf(136,plain,
( red(n2,n3)
| red(n2,n4)
| red(n1,n2)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[55,116,theory(equality)]) ).
cnf(137,plain,
( red(n3,n5)
| red(n1,n5)
| red(n1,n3) ),
inference(spm,[status(thm)],[125,13,theory(equality)]) ).
cnf(139,plain,
( red(n4,n6)
| red(n2,n6)
| red(n2,n4) ),
inference(spm,[status(thm)],[128,12,theory(equality)]) ).
cnf(141,plain,
( red(n2,n4)
| red(n2,n6)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,139,theory(equality)]) ).
cnf(146,plain,
( red(n3,n4)
| red(n3,n5)
| red(n1,n3)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[61,137,theory(equality)]) ).
cnf(147,plain,
( red(n4,n6)
| red(n1,n6)
| red(n1,n4) ),
inference(spm,[status(thm)],[129,13,theory(equality)]) ).
cnf(157,plain,
( red(n2,n3)
| red(n2,n4)
| red(n1,n2) ),
inference(csr,[status(thm)],[136,51]) ).
cnf(159,plain,
( red(n3,n4)
| red(n3,n5)
| red(n1,n3) ),
inference(csr,[status(thm)],[146,65]) ).
cnf(167,plain,
( red(n2,n5)
| red(n2,n4)
| red(n2,n3)
| ~ red(n3,n4) ),
inference(spm,[status(thm)],[79,124,theory(equality)]) ).
cnf(169,plain,
( red(n2,n5)
| red(X1,n5)
| red(X1,n2)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[74,12,theory(equality)]) ).
cnf(171,plain,
( red(n2,n5)
| red(n1,n2)
| red(n1,n5) ),
inference(spm,[status(thm)],[169,13,theory(equality)]) ).
cnf(174,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n2)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[79,171,theory(equality)]) ).
cnf(175,plain,
( red(n2,n5)
| red(n2,n4)
| red(n2,n3) ),
inference(csr,[status(thm)],[167,53]) ).
cnf(176,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(X1,n2)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,175,theory(equality)]) ).
cnf(179,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n2) ),
inference(csr,[status(thm)],[174,116]) ).
cnf(185,plain,
( red(n3,n6)
| red(n3,n5)
| red(n3,n4)
| ~ red(n4,n5) ),
inference(spm,[status(thm)],[83,127,theory(equality)]) ).
cnf(188,plain,
( red(n3,n6)
| red(n3,n5)
| red(n3,n4) ),
inference(csr,[status(thm)],[185,59]) ).
cnf(189,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,188,theory(equality)]) ).
cnf(192,plain,
( red(n3,n6)
| red(X1,n6)
| red(X1,n3)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[88,11,theory(equality)]) ).
cnf(195,plain,
( red(n3,n6)
| red(n2,n3)
| red(n2,n6) ),
inference(spm,[status(thm)],[192,12,theory(equality)]) ).
cnf(196,plain,
( red(n3,n6)
| red(X1,n3)
| red(X1,n6)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[192,28,theory(equality)]) ).
cnf(197,plain,
( red(n2,n6)
| red(n2,n3)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,195,theory(equality)]) ).
cnf(200,plain,
( red(n3,n6)
| red(n1,n6)
| red(n1,n3) ),
inference(spm,[status(thm)],[196,13,theory(equality)]) ).
cnf(203,plain,
( red(n3,n6)
| red(n3,n5)
| red(n1,n3)
| ~ red(n1,n5) ),
inference(spm,[status(thm)],[83,200,theory(equality)]) ).
cnf(204,plain,
( red(n3,n6)
| red(n3,n5)
| red(n1,n3) ),
inference(csr,[status(thm)],[203,137]) ).
cnf(211,plain,
( red(n2,n6)
| red(n2,n5)
| red(n2,n4)
| ~ red(n4,n5) ),
inference(spm,[status(thm)],[96,139,theory(equality)]) ).
cnf(214,plain,
( red(n2,n6)
| red(n2,n5)
| red(n2,n3)
| ~ red(n3,n5) ),
inference(spm,[status(thm)],[96,195,theory(equality)]) ).
cnf(226,plain,
( red(n2,n6)
| red(n2,n5)
| red(n2,n4) ),
inference(csr,[status(thm)],[211,77]) ).
cnf(227,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,226,theory(equality)]) ).
cnf(232,plain,
( red(n2,n6)
| red(n2,n5)
| red(n2,n3) ),
inference(csr,[status(thm)],[214,124]) ).
cnf(233,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,232,theory(equality)]) ).
cnf(243,plain,
( red(n2,n3)
| red(n2,n5)
| red(n1,n2)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[126,171,theory(equality)]) ).
cnf(255,plain,
( red(n3,n4)
| red(n3,n6)
| red(n1,n3)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[130,200,theory(equality)]) ).
cnf(259,plain,
( red(n2,n3)
| red(n2,n5)
| red(n1,n2) ),
inference(csr,[status(thm)],[243,51]) ).
cnf(262,plain,
( red(n3,n4)
| red(n3,n6)
| red(n1,n3) ),
inference(csr,[status(thm)],[255,65]) ).
cnf(272,plain,
( red(n2,n6)
| red(n2,n4)
| red(n2,n3)
| ~ red(n3,n4) ),
inference(spm,[status(thm)],[141,195,theory(equality)]) ).
cnf(277,plain,
( red(n2,n6)
| red(n2,n4)
| red(n2,n3) ),
inference(csr,[status(thm)],[272,53]) ).
cnf(278,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,277,theory(equality)]) ).
cnf(359,plain,
( red(X1,n6)
| red(n2,n6)
| red(X1,n2)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[114,12,theory(equality)]) ).
cnf(361,plain,
( red(n2,n6)
| red(n1,n2)
| red(n1,n6) ),
inference(spm,[status(thm)],[359,13,theory(equality)]) ).
cnf(365,plain,
( red(n2,n6)
| red(n2,n5)
| red(n1,n2)
| ~ red(n1,n5) ),
inference(spm,[status(thm)],[96,361,theory(equality)]) ).
cnf(368,plain,
( red(n2,n6)
| red(n2,n4)
| red(n1,n2)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[141,361,theory(equality)]) ).
cnf(370,plain,
( red(n3,n5)
| red(n3,n4)
| red(n1,n2)
| red(n2,n6)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[189,361,theory(equality)]) ).
cnf(371,plain,
( red(n2,n3)
| red(n2,n6)
| red(n1,n2)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[197,361,theory(equality)]) ).
cnf(375,plain,
( red(n2,n6)
| red(n2,n5)
| red(n1,n2) ),
inference(csr,[status(thm)],[365,171]) ).
cnf(377,plain,
( red(n2,n6)
| red(n2,n4)
| red(n1,n2) ),
inference(csr,[status(thm)],[368,116]) ).
cnf(380,plain,
( red(n2,n3)
| red(n2,n6)
| red(n1,n2) ),
inference(csr,[status(thm)],[371,51]) ).
cnf(391,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n3)
| red(n3,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[227,200,theory(equality)]) ).
cnf(409,plain,
( red(n2,n5)
| red(n2,n3)
| red(n1,n4)
| red(n4,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[233,147,theory(equality)]) ).
cnf(431,plain,
( red(n2,n4)
| red(n2,n3)
| red(n1,n5)
| red(n5,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[278,107,theory(equality)]) ).
cnf(975,plain,
( red(n3,n5)
| red(n3,n4)
| red(n1,n2)
| red(n2,n6) ),
inference(csr,[status(thm)],[370,159]) ).
cnf(1042,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n3)
| red(n3,n6) ),
inference(csr,[status(thm)],[391,179]) ).
cnf(1089,plain,
( red(n2,n5)
| red(n2,n3)
| red(n1,n4)
| red(n4,n6) ),
inference(csr,[status(thm)],[409,259]) ).
cnf(1126,plain,
( red(n2,n4)
| red(n2,n3)
| red(n1,n5)
| red(n5,n6) ),
inference(csr,[status(thm)],[431,157]) ).
cnf(1131,plain,
( red(n2,n4)
| red(n2,n3)
| red(n5,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[176,1126,theory(equality)]) ).
cnf(1138,plain,
( red(n2,n4)
| red(n2,n3)
| red(n5,n6) ),
inference(csr,[status(thm)],[1131,157]) ).
cnf(1139,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,1138,theory(equality)]) ).
cnf(1166,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(n2,n5) ),
inference(spm,[status(thm)],[1139,277,theory(equality)]) ).
cnf(1178,plain,
( red(n2,n4)
| red(n2,n3) ),
inference(csr,[status(thm)],[1166,175]) ).
cnf(1179,plain,
( red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[32,1178,theory(equality)]) ).
cnf(1193,plain,
( red(n2,n3)
| red(n4,n6)
| red(n2,n5)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1179,1089,theory(equality)]) ).
cnf(1251,plain,
( red(n2,n3)
| red(n4,n6)
| red(n2,n5) ),
inference(csr,[status(thm)],[1193,259]) ).
cnf(1252,plain,
( red(n2,n5)
| red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,1251,theory(equality)]) ).
cnf(1298,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[1252,232,theory(equality)]) ).
cnf(1309,plain,
( red(n2,n3)
| red(n2,n5) ),
inference(csr,[status(thm)],[1298,1178]) ).
cnf(1310,plain,
( red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,1309,theory(equality)]) ).
cnf(1315,plain,
( red(n2,n3)
| red(n1,n4)
| red(n4,n5)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1310,92,theory(equality)]) ).
cnf(1338,plain,
( red(n2,n3)
| red(n4,n5)
| ~ red(n1,n2) ),
inference(csr,[status(thm)],[1315,1179]) ).
cnf(1342,plain,
( red(n4,n5)
| red(n2,n3)
| red(n2,n6) ),
inference(spm,[status(thm)],[1338,380,theory(equality)]) ).
cnf(1350,plain,
( red(n2,n6)
| red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,1342,theory(equality)]) ).
cnf(1399,plain,
( red(n2,n3)
| red(n2,n6)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[1350,1309,theory(equality)]) ).
cnf(1402,plain,
( red(n2,n3)
| red(n2,n6) ),
inference(csr,[status(thm)],[1399,1178]) ).
cnf(1404,plain,
( red(n4,n5)
| red(n4,n6)
| red(n2,n3)
| ~ red(n2,n5) ),
inference(spm,[status(thm)],[64,1402,theory(equality)]) ).
cnf(1429,plain,
( red(n4,n5)
| red(n4,n6)
| red(n2,n3) ),
inference(csr,[status(thm)],[1404,1309]) ).
cnf(1430,plain,
( red(n2,n3)
| red(n4,n5)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,1429,theory(equality)]) ).
cnf(1568,plain,
( red(n4,n5)
| red(n2,n3)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[1430,1402,theory(equality)]) ).
cnf(1573,plain,
( red(n4,n5)
| red(n2,n3) ),
inference(csr,[status(thm)],[1568,1178]) ).
cnf(1574,plain,
( red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,1573,theory(equality)]) ).
cnf(1593,plain,
( red(n2,n3)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[1574,1309,theory(equality)]) ).
cnf(1597,plain,
red(n2,n3),
inference(csr,[status(thm)],[1593,1178]) ).
cnf(1598,plain,
( ~ red(X1,n2)
| ~ red(X1,n3) ),
inference(spm,[status(thm)],[32,1597,theory(equality)]) ).
cnf(1632,plain,
( red(n3,n5)
| red(n3,n4)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1598,159,theory(equality)]) ).
cnf(1633,plain,
( red(n3,n5)
| red(n3,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1598,204,theory(equality)]) ).
cnf(1634,plain,
( red(n3,n6)
| red(n3,n4)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1598,262,theory(equality)]) ).
cnf(1640,plain,
( red(n3,n6)
| red(n2,n4)
| red(n2,n5)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[1598,1042,theory(equality)]) ).
cnf(1653,plain,
( red(n3,n4)
| red(n3,n5)
| red(n2,n6) ),
inference(spm,[status(thm)],[1632,975,theory(equality)]) ).
cnf(1657,plain,
( red(n2,n6)
| red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,1653,theory(equality)]) ).
cnf(1662,plain,
( red(n3,n6)
| red(n3,n5)
| red(n2,n4)
| red(n2,n6) ),
inference(spm,[status(thm)],[1633,377,theory(equality)]) ).
cnf(1669,plain,
( red(n3,n4)
| red(n3,n6)
| red(n2,n5)
| red(n2,n6) ),
inference(spm,[status(thm)],[1634,375,theory(equality)]) ).
cnf(1677,plain,
( red(n3,n6)
| red(n2,n4)
| red(n2,n5) ),
inference(csr,[status(thm)],[1640,179]) ).
cnf(1678,plain,
( red(n2,n5)
| red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,1677,theory(equality)]) ).
cnf(1736,plain,
( red(n2,n6)
| red(n2,n4)
| red(n3,n5)
| ~ red(n3,n4) ),
inference(spm,[status(thm)],[141,1662,theory(equality)]) ).
cnf(1767,plain,
( red(n2,n6)
| red(n2,n5)
| red(n3,n4)
| ~ red(n3,n5) ),
inference(spm,[status(thm)],[96,1669,theory(equality)]) ).
cnf(1798,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[1678,226,theory(equality)]) ).
cnf(1809,plain,
( red(n2,n4)
| red(n2,n5)
| $false ),
inference(rw,[status(thm)],[1798,1597,theory(equality)]) ).
cnf(1810,plain,
( red(n2,n4)
| red(n2,n5) ),
inference(cn,[status(thm)],[1809,theory(equality)]) ).
cnf(1820,plain,
( red(n3,n4)
| red(n2,n6)
| red(n2,n4)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[1657,1810,theory(equality)]) ).
cnf(1821,plain,
( red(n3,n4)
| red(n2,n6)
| red(n2,n4)
| $false ),
inference(rw,[status(thm)],[1820,1597,theory(equality)]) ).
cnf(1822,plain,
( red(n3,n4)
| red(n2,n6)
| red(n2,n4) ),
inference(cn,[status(thm)],[1821,theory(equality)]) ).
cnf(1835,plain,
( red(n2,n6)
| red(n2,n4)
| red(n3,n5) ),
inference(csr,[status(thm)],[1736,1822]) ).
cnf(1836,plain,
( red(n2,n4)
| red(n2,n6)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,1835,theory(equality)]) ).
cnf(1841,plain,
( red(n2,n6)
| red(n2,n5)
| red(n3,n4) ),
inference(csr,[status(thm)],[1767,1653]) ).
cnf(1842,plain,
( red(n2,n5)
| red(n2,n6)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[32,1841,theory(equality)]) ).
cnf(1890,plain,
( red(n2,n6)
| red(n2,n4)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[1836,1810,theory(equality)]) ).
cnf(1892,plain,
( red(n2,n6)
| red(n2,n4)
| $false ),
inference(rw,[status(thm)],[1890,1597,theory(equality)]) ).
cnf(1893,plain,
( red(n2,n6)
| red(n2,n4) ),
inference(cn,[status(thm)],[1892,theory(equality)]) ).
cnf(1899,plain,
( red(n3,n6)
| red(n3,n5)
| red(n2,n4)
| ~ red(n2,n5) ),
inference(spm,[status(thm)],[83,1893,theory(equality)]) ).
cnf(1960,plain,
( red(n3,n6)
| red(n3,n5)
| red(n2,n4) ),
inference(csr,[status(thm)],[1899,1810]) ).
cnf(1961,plain,
( red(n2,n4)
| red(n3,n5)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,1960,theory(equality)]) ).
cnf(2162,plain,
( red(n3,n5)
| red(n2,n4)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[1961,1893,theory(equality)]) ).
cnf(2166,plain,
( red(n3,n5)
| red(n2,n4)
| $false ),
inference(rw,[status(thm)],[2162,1597,theory(equality)]) ).
cnf(2167,plain,
( red(n3,n5)
| red(n2,n4) ),
inference(cn,[status(thm)],[2166,theory(equality)]) ).
cnf(2168,plain,
( red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,2167,theory(equality)]) ).
cnf(2180,plain,
( red(n2,n4)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[2168,1810,theory(equality)]) ).
cnf(2185,plain,
( red(n2,n4)
| $false ),
inference(rw,[status(thm)],[2180,1597,theory(equality)]) ).
cnf(2186,plain,
red(n2,n4),
inference(cn,[status(thm)],[2185,theory(equality)]) ).
cnf(2188,plain,
( red(n2,n6)
| red(n2,n5)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[1842,2186,theory(equality)]) ).
cnf(2216,plain,
( red(n2,n6)
| red(n2,n5)
| $false ),
inference(rw,[status(thm)],[2188,1597,theory(equality)]) ).
cnf(2217,plain,
( red(n2,n6)
| red(n2,n5) ),
inference(cn,[status(thm)],[2216,theory(equality)]) ).
cnf(2237,plain,
( red(n3,n4)
| red(n3,n6)
| red(n2,n5)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[130,2217,theory(equality)]) ).
cnf(2242,plain,
( red(n3,n4)
| red(n3,n6)
| red(n2,n5)
| $false ),
inference(rw,[status(thm)],[2237,2186,theory(equality)]) ).
cnf(2243,plain,
( red(n3,n4)
| red(n3,n6)
| red(n2,n5) ),
inference(cn,[status(thm)],[2242,theory(equality)]) ).
cnf(2246,plain,
( red(n2,n5)
| red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[32,2243,theory(equality)]) ).
cnf(2300,plain,
( red(n3,n4)
| red(n2,n5)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[2246,2217,theory(equality)]) ).
cnf(2302,plain,
( red(n3,n4)
| red(n2,n5)
| $false ),
inference(rw,[status(thm)],[2300,1597,theory(equality)]) ).
cnf(2303,plain,
( red(n3,n4)
| red(n2,n5) ),
inference(cn,[status(thm)],[2302,theory(equality)]) ).
cnf(2307,plain,
( red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[32,2303,theory(equality)]) ).
cnf(2309,plain,
( red(n2,n5)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[2307,2186,theory(equality)]) ).
cnf(2318,plain,
( red(n2,n5)
| $false ),
inference(rw,[status(thm)],[2309,1597,theory(equality)]) ).
cnf(2319,plain,
red(n2,n5),
inference(cn,[status(thm)],[2318,theory(equality)]) ).
cnf(2321,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(n2,n4) ),
inference(spm,[status(thm)],[61,2319,theory(equality)]) ).
cnf(2336,plain,
( red(n3,n4)
| red(n3,n5)
| $false ),
inference(rw,[status(thm)],[2321,2186,theory(equality)]) ).
cnf(2337,plain,
( red(n3,n4)
| red(n3,n5) ),
inference(cn,[status(thm)],[2336,theory(equality)]) ).
cnf(2340,plain,
( red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[32,2337,theory(equality)]) ).
cnf(2355,plain,
( red(n3,n4)
| ~ red(n2,n3) ),
inference(spm,[status(thm)],[2340,2319,theory(equality)]) ).
cnf(2361,plain,
( red(n3,n4)
| $false ),
inference(rw,[status(thm)],[2355,1597,theory(equality)]) ).
cnf(2362,plain,
red(n3,n4),
inference(cn,[status(thm)],[2361,theory(equality)]) ).
cnf(2363,plain,
( ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[32,2362,theory(equality)]) ).
cnf(2386,plain,
~ red(n2,n3),
inference(spm,[status(thm)],[2363,2186,theory(equality)]) ).
cnf(2390,plain,
$false,
inference(rw,[status(thm)],[2386,1597,theory(equality)]) ).
cnf(2391,plain,
$false,
inference(cn,[status(thm)],[2390,theory(equality)]) ).
cnf(2392,plain,
$false,
2391,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRA/GRA014+1.p
% --creating new selector for []
% -running prover on /tmp/tmpzIThsK/sel_GRA014+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRA014+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRA/GRA014+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRA/GRA014+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
%
%------------------------------------------------------------------------------