%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO504+1 : TPTP v9.2.1. Released v7.0.0.
% 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 : n023.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 04:21:25 PM UTC 2026
% Result : Theorem 4.51s 3.29s
% Output : CNFRefutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 90 ( 25 unt; 0 def)
% Number of atoms : 203 ( 46 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 207 ( 94 ~; 101 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 257 ( 4 sgn 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz2_12,axiom,
! [X16,X12,X17,X15,X14] :
( X16 = X12
| ~ s_t(X16,X12,X17)
| ~ s_e(X12,X17,X15,X14)
| X17 = ext(X16,X12,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(d_Defn8_1,axiom,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(d_Defn7_1,axiom,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(aSatz8_2,conjecture,
! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_2) ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(aSatz7_4a,axiom,
! [X13,X12] : s_m(X13,X12,s(X12,X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aA2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(aSatz7_13,axiom,
! [X13,X16,X12] : s_e(X13,X16,s(X12,X13),s(X12,X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_13) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aSatz7_17,axiom,
! [X13,X12,X16,X15] :
( ~ s_m(X13,X12,X16)
| ~ s_m(X13,X15,X16)
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_17) ).
fof(aSatz3_6b,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(aSatz2_14,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(aSatz7_9,axiom,
! [X12,X13,X16] :
( s(X12,X13) != s(X12,X16)
| X13 = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_9) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
fof(c_0_17,plain,
! [X16,X12,X17,X15,X14] :
( X16 = X12
| ~ s_t(X16,X12,X17)
| ~ s_e(X12,X17,X15,X14)
| X17 = ext(X16,X12,X15,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_12]) ).
fof(c_0_18,plain,
! [X12,X15,X14] :
( ( ~ s_r(X12,X15,X14)
| s_e(X12,X14,X12,s(X15,X14)) )
& ( s_r(X12,X15,X14)
| ~ s_e(X12,X14,X12,s(X15,X14)) ) ),
inference(fof_simplification,[status(thm)],[d_Defn8_1]) ).
fof(c_0_19,plain,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
inference(fof_simplification,[status(thm)],[d_Defn7_1]) ).
fof(c_0_20,plain,
! [X617,X618,X619,X620,X621] :
( X617 = X618
| ~ s_t(X617,X618,X619)
| ~ s_e(X618,X619,X620,X621)
| X619 = ext(X617,X618,X620,X621) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X1060,X1061,X1062] :
( ( ~ s_r(X1060,X1061,X1062)
| s_e(X1060,X1062,X1060,s(X1061,X1062)) )
& ( s_r(X1060,X1061,X1062)
| ~ s_e(X1060,X1062,X1060,s(X1061,X1062)) ) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_22,negated_conjecture,
~ ! [X12,X15,X14] :
( ~ s_r(X12,X15,X14)
| s_r(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz8_2])]) ).
fof(c_0_23,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
fof(c_0_24,plain,
! [X1050,X1051,X1052] :
( ( ~ s_m(X1050,X1051,X1052)
| s_t(X1050,X1051,X1052) )
& ( ~ s_m(X1050,X1051,X1052)
| s_e(X1051,X1050,X1051,X1052) )
& ( ~ s_t(X1050,X1051,X1052)
| ~ s_e(X1051,X1050,X1051,X1052)
| s_m(X1050,X1051,X1052) ) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X917,X918] : s_m(X917,X918,s(X918,X917)),
inference(variable_rename,[status(thm)],[aSatz7_4a]) ).
fof(c_0_26,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
cnf(c_0_27,plain,
( X1 = X2
| X3 = ext(X1,X2,X4,X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( s_e(X1,X3,X1,s(X2,X3))
| ~ s_r(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,negated_conjecture,
( s_r(esk1_0,esk2_0,esk3_0)
& ~ s_r(esk3_0,esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_30,plain,
! [X637,X638,X639] :
( ~ s_t(X637,X638,X639)
| s_t(X639,X638,X637) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| s_e(X3,X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[aA2]) ).
fof(c_0_34,plain,
! [X939,X940,X941] : s_e(X939,X940,s(X941,X939),s(X941,X940)),
inference(variable_rename,[status(thm)],[aSatz7_13]) ).
fof(c_0_35,plain,
! [X926,X927] : s(X926,s(X926,X927)) = X927,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_36,plain,
! [X591,X592,X593,X594] :
( ~ s_e(X591,X592,X593,X594)
| s_e(X593,X594,X591,X592) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X570,X571,X572,X573] :
( s_t(X570,X571,ext(X570,X571,X572,X573))
& s_e(X571,ext(X570,X571,X572,X573),X572,X573) ),
inference(variable_rename,[status(thm)],[aA4]) ).
cnf(c_0_38,plain,
( ext(X1,X2,X2,s(X3,X4)) = X4
| X1 = X2
| ~ s_r(X2,X3,X4)
| ~ s_t(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,negated_conjecture,
s_r(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
s_t(X1,X2,s(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_42,plain,
! [X13,X12,X16,X15] :
( ~ s_m(X13,X12,X16)
| ~ s_m(X13,X15,X16)
| X12 = X15 ),
inference(fof_simplification,[status(thm)],[aSatz7_17]) ).
fof(c_0_43,plain,
! [X561,X562,X563,X564,X565,X566] :
( ~ s_e(X561,X562,X563,X564)
| ~ s_e(X561,X562,X565,X566)
| s_e(X563,X564,X565,X566) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
s_e(X1,X2,s(X3,X1),s(X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
( ext(X1,esk1_0,esk1_0,s(esk2_0,esk3_0)) = esk3_0
| X1 = esk1_0
| ~ s_t(X1,esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,plain,
s_t(s(X1,X2),X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_50,plain,
! [X960,X961,X962,X963] :
( ~ s_m(X960,X961,X962)
| ~ s_m(X960,X963,X962)
| X961 = X963 ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_51,plain,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
inference(fof_simplification,[status(thm)],[aSatz3_6b]) ).
fof(c_0_52,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X15,X12,X17,X14) ),
inference(fof_simplification,[status(thm)],[aSatz2_14]) ).
cnf(c_0_53,plain,
( s_e(X3,X4,X5,X6)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
s_e(X1,s(X2,X3),s(X2,X1),X3),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,plain,
s_e(X1,X2,X3,ext(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( ext(s(esk1_0,esk3_0),esk1_0,esk1_0,s(esk2_0,esk3_0)) = esk3_0
| s(esk1_0,esk3_0) = esk1_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( X2 = X4
| ~ s_m(X1,X2,X3)
| ~ s_m(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
( s_m(X1,X2,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_59,plain,
! [X661,X662,X663,X664] :
( ~ s_t(X661,X662,X663)
| ~ s_t(X661,X663,X664)
| s_t(X661,X662,X664) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_60,plain,
! [X937,X938] :
( s(X937,X938) = X938
| X938 != X937 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
fof(c_0_61,plain,
! [X625,X626,X627,X628] :
( ~ s_e(X625,X626,X627,X628)
| s_e(X626,X625,X628,X627) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( s_e(X1,X2,s(X3,X4),X5)
| ~ s_e(X4,s(X3,X5),X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( s(esk1_0,esk3_0) = esk1_0
| s_e(esk1_0,s(esk2_0,esk3_0),esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,plain,
( X1 = X2
| ~ s_m(X3,X1,s(X2,X3)) ),
inference(spm,[status(thm)],[c_0_57,c_0_32]) ).
cnf(c_0_65,plain,
( s_m(X1,X2,s(X3,X1))
| ~ s_r(X2,X3,X1)
| ~ s_t(X1,X2,s(X3,X1)) ),
inference(spm,[status(thm)],[c_0_58,c_0_28]) ).
cnf(c_0_66,plain,
( s_t(X1,X2,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_67,plain,
! [X932,X933,X934] :
( s(X932,X933) != s(X932,X934)
| X933 = X934 ),
inference(variable_rename,[status(thm)],[aSatz7_9]) ).
cnf(c_0_68,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
( s_e(X2,X1,X4,X3)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( s(esk1_0,esk3_0) = esk1_0
| s_e(esk1_0,esk3_0,s(esk2_0,esk1_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
( X1 = X2
| ~ s_r(X1,X2,X3)
| ~ s_t(X3,X1,s(X2,X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( s_t(X1,X2,s(X3,X1))
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_41]) ).
cnf(c_0_73,plain,
( X2 = X3
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( s_r(X1,X2,X3)
| ~ s_e(X1,X3,X1,s(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_76,negated_conjecture,
( s(esk1_0,esk3_0) = esk1_0
| s_e(esk3_0,esk1_0,esk3_0,s(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
~ s_r(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_78,plain,
( X1 = X2
| ~ s_r(X1,X2,X3)
| ~ s_t(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
( X1 = X2
| s(X2,X1) != X2 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
s(esk1_0,esk3_0) = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
fof(c_0_81,plain,
! [X640,X641] : s_t(X640,X640,X641),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
cnf(c_0_82,plain,
( s_e(X2,X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_83,negated_conjecture,
( esk2_0 = esk1_0
| ~ s_t(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_39]) ).
cnf(c_0_84,negated_conjecture,
esk3_0 = esk1_0,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,plain,
( s_r(X1,X2,X3)
| ~ s_m(X3,X1,s(X2,X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
esk2_0 = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_88,plain,
s_r(X1,X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_32]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_84]),c_0_87]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO504+1 : TPTP v9.2.1. Released v7.0.0.
% 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
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:00:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 4.51/3.29 % Version : CSE_E---1.7
% 4.51/3.29 % Problem : theBenchmark.p
% 4.51/3.29 % SZS status Theorem for theBenchmark.p
% 4.51/3.29 % SZS output start CNFRefutation
% See solution above
% 4.61/3.30 % Total time : 2.376s
%------------------------------------------------------------------------------