%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRA013+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : 300s
% DateTime : Tue May 5 04:22:56 PM UTC 2026
% Result : CounterSatisfiable 1.22s 1.72s
% Output : Saturation 1.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(less_than_transitive,axiom,
! [X1,X2,X3] :
( ( less_than(X1,X2)
& less_than(X2,X3) )
=> less_than(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_than_transitive) ).
fof(partition,axiom,
! [X1,X2] :
( less_than(X1,X2)
=> ( red(X1,X2)
| green(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition) ).
fof(ordering,axiom,
( less_than(n1,n2)
& less_than(n2,n3)
& less_than(n3,n4)
& less_than(n4,n5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordering) ).
fof(green_clique,axiom,
! [X1,X2,X3] :
( ( green(X1,X2)
& green(X2,X3)
& green(X1,X3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',green_clique) ).
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(red_clique,axiom,
! [X1,X2,X3] :
( ( red(X1,X2)
& red(X2,X3)
& red(X1,X3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',red_clique) ).
fof(c_0_6,plain,
! [X21,X22,X23] :
( ~ less_than(X21,X22)
| ~ less_than(X22,X23)
| less_than(X21,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_than_transitive])]) ).
fof(c_0_7,plain,
! [X24,X25] :
( ~ less_than(X24,X25)
| red(X24,X25)
| green(X24,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])]) ).
cnf(c_0_8,plain,
( less_than(X1,X3)
| ~ less_than(X1,X2)
| ~ less_than(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]),
[final] ).
cnf(c_0_9,plain,
less_than(n4,n5),
inference(split_conjunct,[status(thm)],[ordering]),
[final] ).
fof(c_0_10,plain,
! [X18,X19,X20] :
( ~ green(X18,X19)
| ~ green(X19,X20)
| ~ green(X18,X20)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[green_clique])]) ).
fof(c_0_11,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).
cnf(c_0_12,plain,
( red(X1,X2)
| green(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]),
[final] ).
cnf(c_0_13,plain,
( less_than(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]),
[final] ).
cnf(c_0_14,plain,
less_than(n3,n4),
inference(split_conjunct,[status(thm)],[ordering]),
[final] ).
cnf(c_0_15,plain,
( goal
| ~ green(X1,X2)
| ~ green(X2,X3)
| ~ green(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_11]),
[final] ).
cnf(c_0_17,plain,
( green(X1,n5)
| red(X1,n5)
| ~ less_than(X1,n4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]),
[final] ).
cnf(c_0_18,plain,
( less_than(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]),
[final] ).
cnf(c_0_19,plain,
( ~ green(X1,X2)
| ~ green(X3,X2)
| ~ green(X3,X1) ),
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_20,plain,
( green(n4,n5)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]),
[final] ).
cnf(c_0_21,plain,
( green(X1,n5)
| red(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_22,plain,
less_than(n2,n3),
inference(split_conjunct,[status(thm)],[ordering]),
[final] ).
fof(c_0_23,plain,
! [X15,X16,X17] :
( ~ red(X15,X16)
| ~ red(X16,X17)
| ~ red(X15,X17)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[red_clique])]) ).
cnf(c_0_24,plain,
( red(n4,n5)
| ~ green(X1,n5)
| ~ green(X1,n4) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[final] ).
cnf(c_0_25,plain,
( green(n2,n5)
| red(n2,n5) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[final] ).
cnf(c_0_26,plain,
( green(X1,n4)
| red(X1,n4)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]),
[final] ).
cnf(c_0_27,plain,
( green(n3,n5)
| red(n3,n5) ),
inference(spm,[status(thm)],[c_0_17,c_0_14]),
[final] ).
cnf(c_0_28,plain,
( green(n3,n4)
| red(n3,n4) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]),
[final] ).
cnf(c_0_29,plain,
( less_than(X1,n4)
| ~ less_than(X2,n3)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_18]),
[final] ).
cnf(c_0_30,plain,
( less_than(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_8,c_0_22]),
[final] ).
cnf(c_0_31,plain,
( goal
| ~ red(X1,X2)
| ~ red(X2,X3)
| ~ red(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( red(n2,n5)
| red(n4,n5)
| ~ green(n2,n4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_33,plain,
( green(n2,n4)
| red(n2,n4) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]),
[final] ).
cnf(c_0_34,plain,
( red(n3,n5)
| ~ green(X1,n5)
| ~ green(X1,n3) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]),
[final] ).
cnf(c_0_35,plain,
( red(n3,n4)
| ~ green(X1,n4)
| ~ green(X1,n3) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]),
[final] ).
cnf(c_0_36,plain,
( less_than(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]),
[final] ).
cnf(c_0_37,plain,
( green(X1,n4)
| red(X1,n4)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]),
[final] ).
cnf(c_0_38,plain,
less_than(n1,n2),
inference(split_conjunct,[status(thm)],[ordering]),
[final] ).
cnf(c_0_39,plain,
( green(n2,n3)
| red(n2,n3) ),
inference(spm,[status(thm)],[c_0_12,c_0_22]),
[final] ).
cnf(c_0_40,plain,
( green(X1,n3)
| red(X1,n3)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_12,c_0_30]),
[final] ).
cnf(c_0_41,plain,
( ~ red(X1,X2)
| ~ red(X3,X2)
| ~ red(X3,X1) ),
inference(sr,[status(thm)],[c_0_31,c_0_16]),
[final] ).
cnf(c_0_42,plain,
( red(n2,n4)
| red(n4,n5)
| red(n2,n5) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_43,plain,
( red(n2,n5)
| red(n3,n5)
| ~ green(n2,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_25]),
[final] ).
cnf(c_0_44,plain,
( red(n2,n4)
| red(n3,n4)
| ~ green(n2,n3) ),
inference(spm,[status(thm)],[c_0_35,c_0_33]),
[final] ).
cnf(c_0_45,plain,
( green(X1,n5)
| red(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_17,c_0_36]),
[final] ).
cnf(c_0_46,plain,
( red(n2,n4)
| ~ green(X1,n4)
| ~ green(X1,n2) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]),
[final] ).
cnf(c_0_47,plain,
( green(n1,n4)
| red(n1,n4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]),
[final] ).
cnf(c_0_48,plain,
( red(n2,n3)
| ~ green(X1,n3)
| ~ green(X1,n2) ),
inference(spm,[status(thm)],[c_0_19,c_0_39]),
[final] ).
cnf(c_0_49,plain,
( green(n1,n3)
| red(n1,n3) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]),
[final] ).
cnf(c_0_50,plain,
( red(n2,n5)
| red(n2,n4)
| ~ red(X1,n5)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]),
[final] ).
cnf(c_0_51,plain,
( red(n2,n3)
| red(n3,n5)
| red(n2,n5) ),
inference(spm,[status(thm)],[c_0_43,c_0_39]),
[final] ).
cnf(c_0_52,plain,
( red(n2,n3)
| red(n3,n4)
| red(n2,n4) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]),
[final] ).
cnf(c_0_53,plain,
( green(n1,n5)
| red(n1,n5) ),
inference(spm,[status(thm)],[c_0_45,c_0_38]),
[final] ).
cnf(c_0_54,plain,
( red(n1,n4)
| red(n2,n4)
| ~ green(n1,n2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_55,plain,
( green(n1,n2)
| red(n1,n2) ),
inference(spm,[status(thm)],[c_0_12,c_0_38]),
[final] ).
cnf(c_0_56,plain,
( red(n1,n3)
| red(n2,n3)
| ~ green(n1,n2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_57,plain,
( red(n2,n3)
| red(n2,n4)
| red(n2,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),
[final] ).
cnf(c_0_58,plain,
( red(n1,n5)
| red(n4,n5)
| ~ green(n1,n4) ),
inference(spm,[status(thm)],[c_0_24,c_0_53]),
[final] ).
cnf(c_0_59,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n4)
| ~ red(X1,n3) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]),
[final] ).
cnf(c_0_60,plain,
( red(n1,n2)
| red(n2,n4)
| red(n1,n4) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_61,plain,
( red(n1,n2)
| red(n2,n3)
| red(n1,n3) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]),
[final] ).
cnf(c_0_62,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n5)
| ~ red(X1,n2) ),
inference(spm,[status(thm)],[c_0_41,c_0_57]),
[final] ).
cnf(c_0_63,plain,
( red(n1,n4)
| red(n4,n5)
| red(n1,n5) ),
inference(spm,[status(thm)],[c_0_58,c_0_47]),
[final] ).
cnf(c_0_64,plain,
( red(n1,n2)
| red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[final] ).
cnf(c_0_65,plain,
( red(n1,n5)
| red(n3,n5)
| ~ green(n1,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_53]),
[final] ).
cnf(c_0_66,plain,
( red(n2,n5)
| ~ green(X1,n5)
| ~ green(X1,n2) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]),
[final] ).
cnf(c_0_67,plain,
( red(n3,n5)
| red(n4,n5)
| ~ green(n3,n4) ),
inference(spm,[status(thm)],[c_0_24,c_0_27]),
[final] ).
cnf(c_0_68,plain,
( red(n4,n5)
| red(n1,n4)
| red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),
[final] ).
cnf(c_0_69,plain,
( red(n1,n3)
| red(n3,n5)
| red(n1,n5) ),
inference(spm,[status(thm)],[c_0_65,c_0_49]),
[final] ).
cnf(c_0_70,plain,
( red(n1,n5)
| red(n2,n5)
| ~ green(n1,n2) ),
inference(spm,[status(thm)],[c_0_66,c_0_53]),
[final] ).
cnf(c_0_71,plain,
( red(n3,n4)
| red(n4,n5)
| red(n3,n5) ),
inference(spm,[status(thm)],[c_0_67,c_0_28]),
[final] ).
cnf(c_0_72,plain,
( red(n1,n4)
| red(n3,n4)
| ~ green(n1,n3) ),
inference(spm,[status(thm)],[c_0_35,c_0_47]),
[final] ).
cnf(c_0_73,plain,
( red(n4,n5)
| red(n2,n3)
| red(n2,n4)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[c_0_59,c_0_68]),
[final] ).
cnf(c_0_74,plain,
( red(n3,n5)
| red(n1,n3)
| red(n2,n3)
| red(n2,n4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_69]),c_0_64]),
[final] ).
cnf(c_0_75,plain,
( red(n2,n5)
| red(n2,n3)
| ~ red(X1,n5)
| ~ red(X1,n3) ),
inference(spm,[status(thm)],[c_0_41,c_0_51]),
[final] ).
cnf(c_0_76,plain,
( red(n1,n2)
| red(n2,n5)
| red(n1,n5) ),
inference(spm,[status(thm)],[c_0_70,c_0_55]),
[final] ).
cnf(c_0_77,plain,
( red(n3,n5)
| red(n3,n4)
| ~ red(X1,n5)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_41,c_0_71]),
[final] ).
cnf(c_0_78,plain,
( red(n1,n3)
| red(n3,n4)
| red(n1,n4) ),
inference(spm,[status(thm)],[c_0_72,c_0_49]),
[final] ).
cnf(c_0_79,plain,
( less_than(X1,n5)
| ~ less_than(X2,n4)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]),
[final] ).
cnf(c_0_80,plain,
( red(n3,n5)
| red(n2,n4)
| red(n2,n3)
| red(n4,n5) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_81,plain,
( red(n1,n2)
| red(n2,n3)
| red(n2,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_61]),
[final] ).
cnf(c_0_82,plain,
( red(n1,n2)
| red(n2,n4)
| red(n2,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_76]),c_0_60]),
[final] ).
cnf(c_0_83,plain,
( red(n1,n3)
| red(n3,n4)
| red(n3,n5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_69]),c_0_78]),
[final] ).
cnf(c_0_84,plain,
( less_than(X1,n5)
| ~ less_than(X2,n2)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_36]),
[final] ).
cnf(c_0_85,plain,
( red(n2,n3)
| red(n2,n4)
| red(n3,n5)
| ~ red(X1,n5)
| ~ red(X1,n4) ),
inference(spm,[status(thm)],[c_0_41,c_0_80]),
[final] ).
cnf(c_0_86,plain,
( red(n2,n4)
| red(n2,n3)
| red(n4,n5)
| ~ red(X1,n4)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_68]),
[final] ).
cnf(c_0_87,plain,
( red(n2,n5)
| red(n1,n2)
| ~ red(X1,n5)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_76]),
[final] ).
cnf(c_0_88,plain,
( red(n3,n5)
| red(n1,n3)
| ~ red(X1,n5)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_69]),
[final] ).
cnf(c_0_89,plain,
( red(n4,n5)
| red(n1,n4)
| ~ red(X1,n5)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_63]),
[final] ).
cnf(c_0_90,plain,
( red(n2,n5)
| red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_81]),
[final] ).
cnf(c_0_91,plain,
( red(n2,n5)
| red(n2,n4)
| ~ red(X1,n2)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_82]),
[final] ).
cnf(c_0_92,plain,
( red(n3,n5)
| red(n3,n4)
| ~ red(X1,n3)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_83]),
[final] ).
cnf(c_0_93,plain,
( red(n2,n4)
| red(n2,n3)
| ~ red(X1,n2)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_64]),
[final] ).
cnf(c_0_94,plain,
( red(n2,n4)
| red(n1,n2)
| ~ red(X1,n4)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_60]),
[final] ).
cnf(c_0_95,plain,
( red(n3,n4)
| red(n1,n3)
| ~ red(X1,n4)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_78]),
[final] ).
cnf(c_0_96,plain,
( red(n2,n3)
| red(n1,n2)
| ~ red(X1,n3)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_61]),
[final] ).
cnf(c_0_97,plain,
( red(n1,n5)
| ~ green(X1,n5)
| ~ green(X1,n1) ),
inference(spm,[status(thm)],[c_0_19,c_0_53]),
[final] ).
cnf(c_0_98,plain,
( less_than(X1,n5)
| ~ less_than(X1,n1) ),
inference(spm,[status(thm)],[c_0_84,c_0_38]),
[final] ).
cnf(c_0_99,plain,
( less_than(X1,n4)
| ~ less_than(X2,n2)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_100,plain,
( less_than(X1,n5)
| ~ less_than(X2,n3)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_18]),
[final] ).
cnf(c_0_101,plain,
( less_than(X1,n3)
| ~ less_than(X2,n2)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_30]),
[final] ).
cnf(c_0_102,plain,
( red(n3,n5)
| red(n2,n4)
| red(n2,n3)
| ~ red(n4,n4) ),
inference(spm,[status(thm)],[c_0_85,c_0_80]),
[final] ).
cnf(c_0_103,plain,
( red(n3,n5)
| red(n2,n3)
| red(n2,n4)
| ~ red(n4,n2) ),
inference(spm,[status(thm)],[c_0_62,c_0_80]),
[final] ).
cnf(c_0_104,plain,
( red(n4,n5)
| red(n2,n3)
| red(n2,n4)
| ~ red(n3,n1) ),
inference(spm,[status(thm)],[c_0_86,c_0_52]),
[final] ).
cnf(c_0_105,plain,
( red(n2,n4)
| red(n2,n3)
| red(n3,n5)
| ~ red(X1,n3)
| ~ red(X1,n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_74]),
[final] ).
cnf(c_0_106,plain,
( red(n3,n5)
| red(n3,n4)
| red(n1,n2)
| red(n2,n5)
| ~ red(n4,n1) ),
inference(spm,[status(thm)],[c_0_87,c_0_71]),
[final] ).
cnf(c_0_107,plain,
( red(n2,n5)
| red(n2,n4)
| red(n1,n3)
| red(n3,n5)
| ~ red(n4,n1) ),
inference(spm,[status(thm)],[c_0_88,c_0_42]),
[final] ).
cnf(c_0_108,plain,
( red(n2,n5)
| red(n2,n3)
| red(n1,n4)
| red(n4,n5)
| ~ red(n3,n1) ),
inference(spm,[status(thm)],[c_0_89,c_0_51]),
[final] ).
cnf(c_0_109,plain,
( red(n2,n5)
| red(n1,n2)
| red(n3,n4)
| red(n3,n5)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[c_0_77,c_0_76]),
[final] ).
cnf(c_0_110,plain,
( red(n3,n5)
| red(n1,n3)
| red(n2,n4)
| red(n2,n5)
| ~ red(n1,n4) ),
inference(spm,[status(thm)],[c_0_50,c_0_69]),
[final] ).
cnf(c_0_111,plain,
( red(n4,n5)
| red(n1,n4)
| red(n2,n3)
| red(n2,n5)
| ~ red(n1,n3) ),
inference(spm,[status(thm)],[c_0_75,c_0_63]),
[final] ).
cnf(c_0_112,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_90,c_0_81]),
[final] ).
cnf(c_0_113,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_91,c_0_82]),
[final] ).
cnf(c_0_114,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_92,c_0_83]),
[final] ).
cnf(c_0_115,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(n2,n2) ),
inference(spm,[status(thm)],[c_0_62,c_0_57]),
[final] ).
cnf(c_0_116,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_93,c_0_64]),
[final] ).
cnf(c_0_117,plain,
( red(n1,n2)
| red(n2,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_87,c_0_76]),
[final] ).
cnf(c_0_118,plain,
( red(n1,n3)
| red(n3,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_88,c_0_69]),
[final] ).
cnf(c_0_119,plain,
( red(n1,n4)
| red(n4,n5)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_89,c_0_63]),
[final] ).
cnf(c_0_120,plain,
( red(n1,n2)
| red(n2,n4)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_94,c_0_60]),
[final] ).
cnf(c_0_121,plain,
( red(n1,n3)
| red(n3,n4)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_95,c_0_78]),
[final] ).
cnf(c_0_122,plain,
( red(n2,n3)
| red(n2,n5)
| ~ red(n3,n3) ),
inference(spm,[status(thm)],[c_0_75,c_0_51]),
[final] ).
cnf(c_0_123,plain,
( red(n2,n4)
| red(n2,n5)
| ~ red(n4,n4) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]),
[final] ).
cnf(c_0_124,plain,
( red(n1,n2)
| red(n2,n3)
| ~ red(n1,n1) ),
inference(spm,[status(thm)],[c_0_96,c_0_61]),
[final] ).
cnf(c_0_125,plain,
( red(n2,n5)
| red(n1,n5)
| ~ green(n2,n1) ),
inference(spm,[status(thm)],[c_0_97,c_0_25]),
[final] ).
cnf(c_0_126,plain,
( red(n3,n5)
| red(n1,n5)
| ~ green(n3,n1) ),
inference(spm,[status(thm)],[c_0_97,c_0_27]),
[final] ).
cnf(c_0_127,plain,
( red(n4,n5)
| red(n1,n5)
| ~ green(n4,n1) ),
inference(spm,[status(thm)],[c_0_97,c_0_20]),
[final] ).
cnf(c_0_128,plain,
( red(n2,n3)
| red(n2,n4)
| ~ red(n3,n3) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]),
[final] ).
cnf(c_0_129,plain,
( green(X1,n5)
| red(X1,n5)
| ~ less_than(X1,n1) ),
inference(spm,[status(thm)],[c_0_12,c_0_98]),
[final] ).
cnf(c_0_130,plain,
( red(n1,n5)
| ~ green(n1,n1) ),
inference(spm,[status(thm)],[c_0_97,c_0_53]),
[final] ).
cnf(c_0_131,plain,
( red(n3,n4)
| red(n3,n5)
| ~ red(n4,n4) ),
inference(spm,[status(thm)],[c_0_77,c_0_71]),
[final] ).
cnf(c_0_132,plain,
( red(n1,n4)
| ~ green(X1,n4)
| ~ green(X1,n1) ),
inference(spm,[status(thm)],[c_0_19,c_0_47]),
[final] ).
cnf(c_0_133,plain,
( less_than(X1,n5)
| ~ less_than(X2,n1)
| ~ less_than(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_98]),
[final] ).
cnf(c_0_134,plain,
( red(n3,n5)
| red(n2,n5)
| ~ green(n3,n2) ),
inference(spm,[status(thm)],[c_0_66,c_0_27]),
[final] ).
cnf(c_0_135,plain,
( red(n4,n5)
| red(n2,n5)
| ~ green(n4,n2) ),
inference(spm,[status(thm)],[c_0_66,c_0_20]),
[final] ).
cnf(c_0_136,plain,
( red(n2,n5)
| ~ green(n2,n2) ),
inference(spm,[status(thm)],[c_0_66,c_0_25]),
[final] ).
cnf(c_0_137,plain,
( red(n1,n3)
| ~ green(X1,n3)
| ~ green(X1,n1) ),
inference(spm,[status(thm)],[c_0_19,c_0_49]),
[final] ).
cnf(c_0_138,plain,
( less_than(X1,n4)
| ~ less_than(X1,n1) ),
inference(spm,[status(thm)],[c_0_99,c_0_38]),
[final] ).
cnf(c_0_139,plain,
( red(n3,n4)
| red(n2,n4)
| ~ green(n3,n2) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]),
[final] ).
cnf(c_0_140,plain,
( red(n2,n4)
| ~ green(n2,n2) ),
inference(spm,[status(thm)],[c_0_46,c_0_33]),
[final] ).
cnf(c_0_141,plain,
( less_than(X1,n5)
| ~ less_than(X1,n2) ),
inference(spm,[status(thm)],[c_0_100,c_0_22]),
[final] ).
cnf(c_0_142,plain,
( less_than(X1,n3)
| ~ less_than(X1,n1) ),
inference(spm,[status(thm)],[c_0_101,c_0_38]),
[final] ).
cnf(c_0_143,plain,
( red(n4,n5)
| red(n3,n5)
| ~ green(n4,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]),
[final] ).
cnf(c_0_144,plain,
( red(n3,n5)
| ~ green(n3,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]),
[final] ).
cnf(c_0_145,plain,
( less_than(X1,n5)
| ~ less_than(X1,n3) ),
inference(spm,[status(thm)],[c_0_79,c_0_14]),
[final] ).
cnf(c_0_146,plain,
( red(n1,n2)
| ~ green(X1,n2)
| ~ green(X1,n1) ),
inference(spm,[status(thm)],[c_0_19,c_0_55]),
[final] ).
cnf(c_0_147,plain,
( red(n2,n3)
| ~ green(n2,n2) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]),
[final] ).
cnf(c_0_148,plain,
( red(n3,n4)
| ~ green(n3,n3) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]),
[final] ).
cnf(c_0_149,plain,
( less_than(X1,n2)
| ~ less_than(X1,n1) ),
inference(spm,[status(thm)],[c_0_8,c_0_38]),
[final] ).
cnf(c_0_150,plain,
( red(n4,n5)
| ~ green(n4,n4) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA013+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:07:10 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.22/1.72 % Version : CSE_E---1.7
% 1.22/1.72 % Problem : theBenchmark.p
% 1.22/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.22/1.72 % SZS output start Saturation
% See solution above
% 1.22/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------