%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRA014+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 07:16:09 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 6
% Syntax : Number of formulae : 178 ( 14 unt; 0 def)
% Number of atoms : 564 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 552 ( 166 ~; 373 |; 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 : 134 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goal_to_be_proved) ).
fof(green_clique,axiom,
! [X1,X2,X3] :
( ( green(X1,X2)
& green(X2,X3)
& green(X1,X3) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',green_clique) ).
fof(partition,axiom,
! [X1,X2] :
( less_than(X1,X2)
=> ( red(X1,X2)
| green(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',partition) ).
fof(less_than_transitive,axiom,
! [X1,X2,X3] :
( ( less_than(X1,X2)
& less_than(X2,X3) )
=> less_than(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',less_than_transitive) ).
fof(ordering,axiom,
( less_than(n1,n2)
& less_than(n2,n3)
& less_than(n3,n4)
& less_than(n4,n5)
& less_than(n5,n6) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ordering) ).
fof(red_clique,axiom,
! [X1,X2,X3] :
( ( red(X1,X2)
& red(X2,X3)
& red(X1,X3) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',red_clique) ).
fof(c_0_6,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( ~ green(X4,X5)
| ~ green(X5,X6)
| ~ green(X4,X6)
| goal ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[green_clique])])])]) ).
fof(c_0_8,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( goal
| ~ green(X1,X2)
| ~ green(X3,X2)
| ~ green(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ~ less_than(X3,X4)
| red(X3,X4)
| green(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])]) ).
cnf(c_0_12,plain,
( ~ green(X1,X2)
| ~ green(X3,X1)
| ~ green(X3,X2) ),
inference(sr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( green(X1,X2)
| red(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( red(X1,X2)
| ~ less_than(X1,X2)
| ~ green(X3,X1)
| ~ green(X3,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_15,plain,
! [X4,X5,X6] :
( ~ less_than(X4,X5)
| ~ less_than(X5,X6)
| less_than(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_than_transitive])]) ).
cnf(c_0_16,plain,
( red(X1,X2)
| red(X2,X3)
| ~ less_than(X2,X3)
| ~ less_than(X1,X2)
| ~ green(X1,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_17,plain,
( less_than(X1,X2)
| ~ less_than(X3,X2)
| ~ less_than(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
less_than(n5,n6),
inference(split_conjunct,[status(thm)],[ordering]) ).
cnf(c_0_19,plain,
( red(X1,X2)
| red(X3,X2)
| red(X1,X3)
| ~ less_than(X3,X2)
| ~ less_than(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_17]) ).
cnf(c_0_20,plain,
( less_than(X1,n6)
| ~ less_than(X1,n5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( red(X1,n6)
| red(X2,n6)
| red(X2,X1)
| ~ less_than(X1,n5)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
less_than(n4,n5),
inference(split_conjunct,[status(thm)],[ordering]) ).
cnf(c_0_23,plain,
less_than(n3,n4),
inference(split_conjunct,[status(thm)],[ordering]) ).
cnf(c_0_24,plain,
( less_than(X1,n6)
| ~ less_than(X2,n5)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ~ red(X4,X5)
| ~ red(X5,X6)
| ~ red(X4,X6)
| goal ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[red_clique])])])]) ).
cnf(c_0_26,plain,
( red(n4,n6)
| red(X1,n4)
| red(X1,n6)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( less_than(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_28,plain,
( less_than(X1,n6)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_29,plain,
( less_than(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_30,plain,
( red(n4,n5)
| red(X1,n4)
| red(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_31,plain,
( goal
| ~ red(X1,X2)
| ~ red(X3,X2)
| ~ red(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( red(n4,n6)
| red(X1,n6)
| red(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
less_than(n2,n3),
inference(split_conjunct,[status(thm)],[ordering]) ).
cnf(c_0_34,plain,
( red(X1,n6)
| red(X2,n6)
| red(X2,X1)
| ~ less_than(X1,n4)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_35,plain,
( less_than(X1,n5)
| ~ less_than(X2,n4)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_36,plain,
( red(n4,n5)
| red(X1,n5)
| red(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_37,plain,
( red(X1,n5)
| red(X2,n5)
| red(X2,X1)
| ~ less_than(X1,n4)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_38,plain,
( ~ red(X1,X2)
| ~ red(X3,X1)
| ~ red(X3,X2) ),
inference(sr,[status(thm)],[c_0_31,c_0_10]) ).
cnf(c_0_39,plain,
( red(n2,n4)
| red(n2,n6)
| red(n4,n6) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( red(n3,n6)
| red(X1,n3)
| red(X1,n6)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_41,plain,
( red(n3,n4)
| red(X1,n3)
| red(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_42,plain,
( less_than(X1,n5)
| ~ less_than(X2,n3)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_27]) ).
cnf(c_0_43,plain,
( red(X1,n4)
| red(X2,n4)
| red(X2,X1)
| ~ less_than(X1,n3)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_44,plain,
( red(n2,n4)
| red(n2,n5)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_45,plain,
( red(n3,n5)
| red(X1,n3)
| red(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
cnf(c_0_46,plain,
( red(n2,n6)
| red(n2,n4)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( red(n2,n6)
| red(n2,n3)
| red(n3,n6) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_48,plain,
( red(n2,n4)
| red(n2,n3)
| red(n3,n4) ),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_49,plain,
( red(n5,n6)
| red(X1,n5)
| red(X1,n6)
| ~ less_than(X1,n5) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_50,plain,
( less_than(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_51,plain,
( red(n2,n4)
| red(X1,n2)
| red(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_52,plain,
less_than(n1,n2),
inference(split_conjunct,[status(thm)],[ordering]) ).
cnf(c_0_53,plain,
( red(n2,n3)
| red(X1,n2)
| red(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_54,plain,
( less_than(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_55,plain,
( red(n2,n5)
| red(n2,n4)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_56,plain,
( red(n2,n5)
| red(n2,n3)
| red(n3,n5) ),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_57,plain,
( red(n2,n3)
| red(n2,n4)
| red(n2,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_58,plain,
( red(n5,n6)
| red(X1,n6)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_60,plain,
( red(n1,n4)
| red(n1,n2)
| red(n2,n4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( red(n1,n3)
| red(n1,n2)
| red(n2,n3) ),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
cnf(c_0_62,plain,
( red(n5,n6)
| red(X1,n6)
| red(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_63,plain,
( red(n2,n3)
| red(n2,n4)
| red(n2,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_48]) ).
cnf(c_0_64,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_57]) ).
cnf(c_0_65,plain,
( red(n1,n5)
| red(n1,n6)
| red(n5,n6) ),
inference(spm,[status(thm)],[c_0_58,c_0_52]) ).
cnf(c_0_66,plain,
( red(n1,n2)
| red(n2,n4)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,plain,
( red(n2,n5)
| red(n2,n6)
| red(n5,n6) ),
inference(spm,[status(thm)],[c_0_62,c_0_33]) ).
cnf(c_0_68,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_63]) ).
cnf(c_0_69,plain,
( red(n5,n6)
| red(n1,n5)
| red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_70,plain,
( red(n2,n6)
| red(n2,n5)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_67]) ).
cnf(c_0_71,plain,
( less_than(X1,n4)
| ~ less_than(X2,n3)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_72,plain,
( red(X1,n5)
| red(X2,n5)
| red(X2,X1)
| ~ less_than(X1,n3)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_54]) ).
cnf(c_0_73,plain,
( red(n5,n6)
| red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_66]) ).
cnf(c_0_74,plain,
( red(n2,n3)
| red(n2,n5)
| red(n2,n6)
| ~ red(n3,n5) ),
inference(spm,[status(thm)],[c_0_70,c_0_47]) ).
cnf(c_0_75,plain,
( less_than(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_71,c_0_33]) ).
cnf(c_0_76,plain,
( red(n2,n5)
| red(X1,n2)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_72,c_0_33]) ).
cnf(c_0_77,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_73]) ).
cnf(c_0_78,plain,
( red(n2,n6)
| red(n2,n5)
| red(n2,n3) ),
inference(spm,[status(thm)],[c_0_74,c_0_56]) ).
cnf(c_0_79,plain,
( red(n4,n6)
| red(X1,n6)
| red(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_26,c_0_75]) ).
cnf(c_0_80,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_81,plain,
( red(n1,n5)
| red(n1,n2)
| red(n2,n5) ),
inference(spm,[status(thm)],[c_0_76,c_0_52]) ).
cnf(c_0_82,plain,
( red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_57]),c_0_63]) ).
cnf(c_0_83,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_78]) ).
cnf(c_0_84,plain,
( red(n1,n4)
| red(n1,n6)
| red(n4,n6) ),
inference(spm,[status(thm)],[c_0_79,c_0_52]) ).
cnf(c_0_85,plain,
( red(n1,n2)
| red(n2,n5)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_61]) ).
cnf(c_0_86,plain,
( red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_82]) ).
cnf(c_0_87,plain,
( red(n4,n6)
| red(n1,n4)
| red(n2,n5)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_88,plain,
( less_than(X1,n6)
| ~ less_than(X2,n4)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_89,plain,
( red(n2,n5)
| red(n4,n6)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85]) ).
cnf(c_0_90,plain,
( less_than(X1,n6)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_88,c_0_23]) ).
cnf(c_0_91,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_89]) ).
cnf(c_0_92,plain,
( red(X1,n6)
| red(X2,n6)
| red(X2,X1)
| ~ less_than(X1,n3)
| ~ less_than(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_90]) ).
cnf(c_0_93,plain,
( red(n2,n5)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_78]),c_0_82]) ).
cnf(c_0_94,plain,
( red(n4,n5)
| red(X1,n5)
| red(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_30,c_0_75]) ).
cnf(c_0_95,plain,
( red(n2,n6)
| red(X1,n2)
| red(X1,n6)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_92,c_0_33]) ).
cnf(c_0_96,plain,
( red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_93]) ).
cnf(c_0_97,plain,
( red(n1,n4)
| red(n1,n5)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_94,c_0_52]) ).
cnf(c_0_98,plain,
( red(n2,n3)
| red(n2,n6)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_99,plain,
( red(n1,n6)
| red(n1,n2)
| red(n2,n6) ),
inference(spm,[status(thm)],[c_0_95,c_0_52]) ).
cnf(c_0_100,plain,
( red(n4,n5)
| red(n2,n3)
| ~ red(n1,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_86]) ).
cnf(c_0_101,plain,
( red(n1,n2)
| red(n2,n6)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_61]) ).
cnf(c_0_102,plain,
( red(n2,n6)
| red(n2,n3)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,plain,
( red(n4,n6)
| red(n4,n5)
| red(n5,n6) ),
inference(spm,[status(thm)],[c_0_49,c_0_22]) ).
cnf(c_0_104,plain,
( red(n2,n3)
| red(n2,n6)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_102]) ).
cnf(c_0_105,plain,
( red(n4,n5)
| red(n4,n6)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_103]) ).
cnf(c_0_106,plain,
( red(n2,n6)
| red(n2,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_93]),c_0_82]) ).
cnf(c_0_107,plain,
( red(n2,n3)
| red(n4,n6)
| red(n4,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_93]) ).
cnf(c_0_108,plain,
( red(n4,n5)
| red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_107]) ).
cnf(c_0_109,plain,
( red(n2,n3)
| red(n4,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_106]),c_0_82]) ).
cnf(c_0_110,plain,
( less_than(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_111,plain,
( red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_109]) ).
cnf(c_0_112,plain,
( red(n2,n4)
| red(n2,n5)
| red(n2,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_39]),c_0_44]) ).
cnf(c_0_113,plain,
( red(n3,n6)
| red(X1,n6)
| red(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_40,c_0_110]) ).
cnf(c_0_114,plain,
( red(n1,n2)
| red(n2,n4)
| red(n2,n5)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_115,plain,
red(n2,n3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_93]),c_0_82]) ).
cnf(c_0_116,plain,
( red(n2,n5)
| red(n2,n4)
| ~ red(X1,n2)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_112]) ).
cnf(c_0_117,plain,
( red(n1,n3)
| red(n1,n6)
| red(n3,n6) ),
inference(spm,[status(thm)],[c_0_113,c_0_52]) ).
cnf(c_0_118,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n2) ),
inference(spm,[status(thm)],[c_0_114,c_0_60]) ).
cnf(c_0_119,plain,
( ~ red(X1,n2)
| ~ red(X1,n3) ),
inference(spm,[status(thm)],[c_0_38,c_0_115]) ).
cnf(c_0_120,plain,
( red(n3,n6)
| red(n1,n3)
| red(n2,n4)
| red(n2,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_121,plain,
( red(n2,n5)
| red(n2,n4)
| red(n3,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_118]) ).
cnf(c_0_122,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_121]) ).
cnf(c_0_123,plain,
( red(n2,n5)
| red(n2,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_112]),c_0_115])]) ).
cnf(c_0_124,plain,
( red(n3,n5)
| red(X1,n5)
| red(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_45,c_0_110]) ).
cnf(c_0_125,plain,
( red(n5,n6)
| red(X1,n6)
| red(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_126,plain,
( red(n2,n4)
| ~ red(X1,n2)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_123]) ).
cnf(c_0_127,plain,
( red(n1,n3)
| red(n1,n5)
| red(n3,n5) ),
inference(spm,[status(thm)],[c_0_124,c_0_52]) ).
cnf(c_0_128,plain,
( red(n3,n5)
| red(n3,n6)
| red(n5,n6) ),
inference(spm,[status(thm)],[c_0_125,c_0_23]) ).
cnf(c_0_129,plain,
( red(n3,n5)
| red(n2,n4)
| ~ red(n1,n2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_119]) ).
cnf(c_0_130,plain,
( red(n1,n2)
| red(n2,n4)
| red(n2,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_99]),c_0_60]) ).
cnf(c_0_131,plain,
( red(n3,n6)
| red(n3,n5)
| ~ red(X1,n5)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_128]) ).
cnf(c_0_132,plain,
( red(n3,n6)
| red(n3,n4)
| red(n4,n6) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_133,plain,
( red(n3,n5)
| red(n3,n4)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
cnf(c_0_134,plain,
( red(n2,n6)
| red(n2,n4)
| red(n3,n5) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( red(n3,n4)
| red(n3,n5)
| red(n3,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_136,plain,
( red(n2,n4)
| red(n2,n6)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_134]) ).
cnf(c_0_137,plain,
( red(n3,n5)
| red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_135]) ).
cnf(c_0_138,plain,
( red(n2,n6)
| red(n2,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_123]),c_0_115])]) ).
cnf(c_0_139,plain,
( red(n2,n4)
| red(n3,n4)
| red(n3,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_115])]) ).
cnf(c_0_140,plain,
( red(n3,n4)
| red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_139]) ).
cnf(c_0_141,plain,
( red(n2,n4)
| red(n3,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_123]),c_0_115])]) ).
cnf(c_0_142,plain,
( red(n3,n4)
| red(X1,n4)
| red(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_41,c_0_110]) ).
cnf(c_0_143,plain,
( red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_141]) ).
cnf(c_0_144,plain,
( red(n1,n3)
| red(n3,n5)
| red(n3,n6)
| ~ red(n1,n5) ),
inference(spm,[status(thm)],[c_0_131,c_0_117]) ).
cnf(c_0_145,plain,
( red(n3,n4)
| red(n3,n6)
| ~ red(X1,n4)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_132]) ).
cnf(c_0_146,plain,
( red(n1,n3)
| red(n1,n4)
| red(n3,n4) ),
inference(spm,[status(thm)],[c_0_142,c_0_52]) ).
cnf(c_0_147,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(X1,n4)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_133]) ).
cnf(c_0_148,plain,
( red(n2,n4)
| ~ red(n1,n3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_60]),c_0_119]) ).
cnf(c_0_149,plain,
( red(n3,n6)
| red(n3,n5)
| red(n1,n3) ),
inference(spm,[status(thm)],[c_0_144,c_0_127]) ).
cnf(c_0_150,plain,
( red(n1,n3)
| red(n3,n6)
| red(n3,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_117]),c_0_146]) ).
cnf(c_0_151,plain,
( red(n1,n2)
| red(n2,n5)
| red(n2,n6)
| ~ red(n1,n5) ),
inference(spm,[status(thm)],[c_0_70,c_0_99]) ).
cnf(c_0_152,plain,
( red(n1,n3)
| red(n3,n5)
| red(n3,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_127]),c_0_146]) ).
cnf(c_0_153,plain,
( red(n2,n6)
| red(n1,n2)
| red(n3,n4)
| red(n3,n5)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[c_0_137,c_0_99]) ).
cnf(c_0_154,plain,
( red(n3,n5)
| red(n3,n6)
| red(n2,n4) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_155,plain,
( red(n3,n4)
| red(n3,n6)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[c_0_119,c_0_150]) ).
cnf(c_0_156,plain,
( red(n2,n6)
| red(n2,n5)
| red(n1,n2) ),
inference(spm,[status(thm)],[c_0_151,c_0_81]) ).
cnf(c_0_157,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(n1,n2) ),
inference(spm,[status(thm)],[c_0_119,c_0_152]) ).
cnf(c_0_158,plain,
( red(n3,n5)
| red(n3,n4)
| red(n1,n2)
| red(n2,n6) ),
inference(spm,[status(thm)],[c_0_153,c_0_152]) ).
cnf(c_0_159,plain,
( red(n2,n4)
| red(n3,n5)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_154]) ).
cnf(c_0_160,plain,
( red(n2,n5)
| red(n2,n6)
| red(n3,n6)
| red(n3,n4) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( red(n2,n6)
| red(n3,n5)
| red(n3,n4) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,plain,
( red(n3,n5)
| red(n2,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_138]),c_0_115])]) ).
cnf(c_0_163,plain,
( red(n3,n4)
| red(n2,n5)
| red(n2,n6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_160]),c_0_161]) ).
cnf(c_0_164,plain,
( red(n2,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_162]) ).
cnf(c_0_165,plain,
( red(n2,n6)
| red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_163]) ).
cnf(c_0_166,plain,
red(n2,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_123]),c_0_115])]) ).
cnf(c_0_167,plain,
( red(n2,n5)
| red(n2,n6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_115])]) ).
cnf(c_0_168,plain,
( red(n2,n5)
| red(n3,n6)
| red(n3,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_167]),c_0_166])]) ).
cnf(c_0_169,plain,
( red(n3,n4)
| red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n6) ),
inference(spm,[status(thm)],[c_0_38,c_0_168]) ).
cnf(c_0_170,plain,
( red(n2,n5)
| red(n3,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_167]),c_0_115])]) ).
cnf(c_0_171,plain,
( red(n2,n5)
| ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_170]) ).
cnf(c_0_172,plain,
red(n2,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_166]),c_0_115])]) ).
cnf(c_0_173,plain,
( red(n3,n5)
| red(n3,n4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_172]),c_0_166])]) ).
cnf(c_0_174,plain,
( red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n5) ),
inference(spm,[status(thm)],[c_0_38,c_0_173]) ).
cnf(c_0_175,plain,
red(n3,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_172]),c_0_115])]) ).
cnf(c_0_176,plain,
( ~ red(X1,n3)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_38,c_0_175]) ).
cnf(c_0_177,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_166]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA014+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 03:58:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.013 s
% 0.21/1.40
% 0.21/1.40 # Failure: Out of unprocessed clauses!
% 0.21/1.40 # OLD status GaveUp
% 0.21/1.40 # Parsed axioms : 6
% 0.21/1.40 # Removed by relevancy pruning/SinE : 5
% 0.21/1.40 # Initial clauses : 1
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 1
% 0.21/1.40 # Processed clauses : 1
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 0
% 0.21/1.40 # ...remaining for further processing : 1
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 0
% 0.21/1.40 # Backward-rewritten : 0
% 0.21/1.40 # Generated clauses : 0
% 0.21/1.40 # ...of the previous two non-trivial : 0
% 0.21/1.40 # Contextual simplify-reflections : 0
% 0.21/1.40 # Paramodulations : 0
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 1
% 0.21/1.40 # Positive orientable unit clauses : 0
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 1
% 0.21/1.40 # Non-unit-clauses : 0
% 0.21/1.40 # Current number of unprocessed clauses: 0
% 0.21/1.40 # ...number of literals in the above : 0
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 0
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 0
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 0
% 0.21/1.40 # Non-unit clause-clause subsumptions : 0
% 0.21/1.40 # Unit Clause-clause subsumption calls : 0
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 0
% 0.21/1.40 # BW rewrite match successes : 0
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 87
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.012 s
% 0.21/1.40 # System time : 0.001 s
% 0.21/1.40 # Total time : 0.013 s
% 0.21/1.40 # Maximum resident set size: 2772 pages
% 0.21/1.40 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.21/1.40 # Preprocessing time : 0.014 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 178
% 0.21/1.40 # Proof object clause steps : 166
% 0.21/1.40 # Proof object formula steps : 12
% 0.21/1.40 # Proof object conjectures : 4
% 0.21/1.40 # Proof object clause conjectures : 1
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 10
% 0.21/1.40 # Proof object initial formulas used : 6
% 0.21/1.40 # Proof object generating inferences : 154
% 0.21/1.40 # Proof object simplifying inferences : 55
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 6
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 10
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 10
% 0.21/1.40 # Processed clauses : 661
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 222
% 0.21/1.40 # ...remaining for further processing : 439
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 247
% 0.21/1.40 # Backward-rewritten : 72
% 0.21/1.40 # Generated clauses : 2065
% 0.21/1.40 # ...of the previous two non-trivial : 1807
% 0.21/1.40 # Contextual simplify-reflections : 401
% 0.21/1.40 # Paramodulations : 2065
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 120
% 0.21/1.40 # Positive orientable unit clauses : 9
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 3
% 0.21/1.40 # Non-unit-clauses : 108
% 0.21/1.40 # Current number of unprocessed clauses: 11
% 0.21/1.40 # ...number of literals in the above : 60
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 319
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 16740
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 3841
% 0.21/1.40 # Non-unit clause-clause subsumptions : 858
% 0.21/1.40 # Unit Clause-clause subsumption calls : 198
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 4
% 0.21/1.40 # BW rewrite match successes : 4
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 32216
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.088 s
% 0.21/1.40 # System time : 0.002 s
% 0.21/1.40 # Total time : 0.090 s
% 0.21/1.40 # Maximum resident set size: 3568 pages
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