%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV558-1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:08:29 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 45
% Syntax : Number of formulae : 308 ( 308 unt; 0 def)
% Number of atoms : 308 ( 307 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 52 con; 0-3 aty)
% Number of variables : 70 ( 6 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1,axiom,
! [VAR_0,VAR_1,VAR_2] : select(store(VAR_0,VAR_1,VAR_2),VAR_1) = VAR_2,
file('theBenchmark.p',a1) ).
cnf(c_1,plain,
select(store(A,B,C),B) = C,
inference(clausify,[status(thm)],[a1]) ).
fof(a3,axiom,
! [VAR_0,VAR_1] : store(VAR_0,VAR_1,select(VAR_0,VAR_1)) = VAR_0,
file('theBenchmark.p',a3) ).
cnf(c_3,plain,
store(A,B,select(A,B)) = A,
inference(clausify,[status(thm)],[a3]) ).
fof(a4,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : store(store(VAR_0,VAR_1,VAR_2),VAR_1,VAR_3) = store(VAR_0,VAR_1,VAR_3),
file('theBenchmark.p',a4) ).
cnf(c_4,plain,
store(store(A,B,C),B,D) = store(A,B,D),
inference(clausify,[status(thm)],[a4]) ).
fof(hyp0,axiom,
a_41 = store(a1,i1,e_40),
file('theBenchmark.p',hyp0) ).
cnf(c_6,plain,
a_41 = store(a1,i1,e_40),
inference(clausify,[status(thm)],[hyp0]) ).
cnf(c_7,plain,
store(a1,i1,e_40) = a_41,
inference(copy,[status(thm)],[c_6]) ).
fof(hyp1,axiom,
a_43 = store(a2,i1,e_42),
file('theBenchmark.p',hyp1) ).
cnf(c_8,plain,
a_43 = store(a2,i1,e_42),
inference(clausify,[status(thm)],[hyp1]) ).
cnf(c_9,plain,
store(a2,i1,e_42) = a_43,
inference(copy,[status(thm)],[c_8]) ).
fof(hyp2,axiom,
a_45 = store(a_41,i2,e_44),
file('theBenchmark.p',hyp2) ).
cnf(c_10,plain,
a_45 = store(a_41,i2,e_44),
inference(clausify,[status(thm)],[hyp2]) ).
cnf(c_11,plain,
store(a_41,i2,e_44) = a_45,
inference(copy,[status(thm)],[c_10]) ).
fof(hyp3,axiom,
a_47 = store(a_43,i2,e_46),
file('theBenchmark.p',hyp3) ).
cnf(c_12,plain,
a_47 = store(a_43,i2,e_46),
inference(clausify,[status(thm)],[hyp3]) ).
cnf(c_13,plain,
store(a_43,i2,e_46) = a_47,
inference(copy,[status(thm)],[c_12]) ).
fof(hyp4,axiom,
a_49 = store(a_45,i3,e_48),
file('theBenchmark.p',hyp4) ).
cnf(c_14,plain,
a_49 = store(a_45,i3,e_48),
inference(clausify,[status(thm)],[hyp4]) ).
cnf(c_15,plain,
store(a_45,i3,e_48) = a_49,
inference(copy,[status(thm)],[c_14]) ).
fof(hyp5,axiom,
a_51 = store(a_47,i3,e_50),
file('theBenchmark.p',hyp5) ).
cnf(c_16,plain,
a_51 = store(a_47,i3,e_50),
inference(clausify,[status(thm)],[hyp5]) ).
cnf(c_17,plain,
store(a_47,i3,e_50) = a_51,
inference(copy,[status(thm)],[c_16]) ).
fof(hyp6,axiom,
a_53 = store(a_49,i4,e_52),
file('theBenchmark.p',hyp6) ).
cnf(c_18,plain,
a_53 = store(a_49,i4,e_52),
inference(clausify,[status(thm)],[hyp6]) ).
cnf(c_19,plain,
store(a_49,i4,e_52) = a_53,
inference(copy,[status(thm)],[c_18]) ).
fof(hyp7,axiom,
a_55 = store(a_51,i4,e_54),
file('theBenchmark.p',hyp7) ).
cnf(c_20,plain,
a_55 = store(a_51,i4,e_54),
inference(clausify,[status(thm)],[hyp7]) ).
cnf(c_21,plain,
store(a_51,i4,e_54) = a_55,
inference(copy,[status(thm)],[c_20]) ).
fof(hyp8,axiom,
a_57 = store(a_53,i5,e_56),
file('theBenchmark.p',hyp8) ).
cnf(c_22,plain,
a_57 = store(a_53,i5,e_56),
inference(clausify,[status(thm)],[hyp8]) ).
cnf(c_23,plain,
store(a_53,i5,e_56) = a_57,
inference(copy,[status(thm)],[c_22]) ).
fof(hyp9,axiom,
a_59 = store(a_55,i5,e_58),
file('theBenchmark.p',hyp9) ).
cnf(c_24,plain,
a_59 = store(a_55,i5,e_58),
inference(clausify,[status(thm)],[hyp9]) ).
cnf(c_25,plain,
store(a_55,i5,e_58) = a_59,
inference(copy,[status(thm)],[c_24]) ).
fof(hyp10,axiom,
a_61 = store(a_57,i6,e_60),
file('theBenchmark.p',hyp10) ).
cnf(c_26,plain,
a_61 = store(a_57,i6,e_60),
inference(clausify,[status(thm)],[hyp10]) ).
cnf(c_27,plain,
store(a_57,i6,e_60) = a_61,
inference(copy,[status(thm)],[c_26]) ).
fof(hyp11,axiom,
a_63 = store(a_59,i6,e_62),
file('theBenchmark.p',hyp11) ).
cnf(c_28,plain,
a_63 = store(a_59,i6,e_62),
inference(clausify,[status(thm)],[hyp11]) ).
cnf(c_29,plain,
store(a_59,i6,e_62) = a_63,
inference(copy,[status(thm)],[c_28]) ).
fof(hyp12,axiom,
a_65 = store(a_61,i7,e_64),
file('theBenchmark.p',hyp12) ).
cnf(c_30,plain,
a_65 = store(a_61,i7,e_64),
inference(clausify,[status(thm)],[hyp12]) ).
cnf(c_31,plain,
store(a_61,i7,e_64) = a_65,
inference(copy,[status(thm)],[c_30]) ).
fof(hyp13,axiom,
a_67 = store(a_63,i7,e_66),
file('theBenchmark.p',hyp13) ).
cnf(c_32,plain,
a_67 = store(a_63,i7,e_66),
inference(clausify,[status(thm)],[hyp13]) ).
cnf(c_33,plain,
store(a_63,i7,e_66) = a_67,
inference(copy,[status(thm)],[c_32]) ).
fof(hyp14,axiom,
a_69 = store(a_65,i8,e_68),
file('theBenchmark.p',hyp14) ).
cnf(c_34,plain,
a_69 = store(a_65,i8,e_68),
inference(clausify,[status(thm)],[hyp14]) ).
cnf(c_35,plain,
store(a_65,i8,e_68) = a_69,
inference(copy,[status(thm)],[c_34]) ).
fof(hyp15,axiom,
a_71 = store(a_67,i8,e_70),
file('theBenchmark.p',hyp15) ).
cnf(c_36,plain,
a_71 = store(a_67,i8,e_70),
inference(clausify,[status(thm)],[hyp15]) ).
cnf(c_37,plain,
store(a_67,i8,e_70) = a_71,
inference(copy,[status(thm)],[c_36]) ).
fof(hyp16,axiom,
a_73 = store(a_69,i9,e_72),
file('theBenchmark.p',hyp16) ).
cnf(c_38,plain,
a_73 = store(a_69,i9,e_72),
inference(clausify,[status(thm)],[hyp16]) ).
cnf(c_39,plain,
store(a_69,i9,e_72) = a_73,
inference(copy,[status(thm)],[c_38]) ).
fof(hyp17,axiom,
a_75 = store(a_71,i9,e_74),
file('theBenchmark.p',hyp17) ).
cnf(c_40,plain,
a_75 = store(a_71,i9,e_74),
inference(clausify,[status(thm)],[hyp17]) ).
cnf(c_41,plain,
store(a_71,i9,e_74) = a_75,
inference(copy,[status(thm)],[c_40]) ).
fof(hyp18,axiom,
a_77 = store(a_73,i10,e_76),
file('theBenchmark.p',hyp18) ).
cnf(c_42,plain,
a_77 = store(a_73,i10,e_76),
inference(clausify,[status(thm)],[hyp18]) ).
cnf(c_43,plain,
store(a_73,i10,e_76) = a_77,
inference(copy,[status(thm)],[c_42]) ).
fof(hyp19,axiom,
a_79 = store(a_75,i10,e_78),
file('theBenchmark.p',hyp19) ).
cnf(c_44,plain,
a_79 = store(a_75,i10,e_78),
inference(clausify,[status(thm)],[hyp19]) ).
cnf(c_45,plain,
store(a_75,i10,e_78) = a_79,
inference(copy,[status(thm)],[c_44]) ).
fof(hyp20,axiom,
e_40 = select(a2,i1),
file('theBenchmark.p',hyp20) ).
cnf(c_46,plain,
e_40 = select(a2,i1),
inference(clausify,[status(thm)],[hyp20]) ).
cnf(c_47,plain,
select(a2,i1) = e_40,
inference(copy,[status(thm)],[c_46]) ).
fof(hyp21,axiom,
e_42 = select(a1,i1),
file('theBenchmark.p',hyp21) ).
cnf(c_48,plain,
e_42 = select(a1,i1),
inference(clausify,[status(thm)],[hyp21]) ).
cnf(c_49,plain,
select(a1,i1) = e_42,
inference(copy,[status(thm)],[c_48]) ).
fof(hyp22,axiom,
e_44 = select(a_43,i2),
file('theBenchmark.p',hyp22) ).
cnf(c_50,plain,
e_44 = select(a_43,i2),
inference(clausify,[status(thm)],[hyp22]) ).
cnf(c_51,plain,
select(a_43,i2) = e_44,
inference(copy,[status(thm)],[c_50]) ).
fof(hyp23,axiom,
e_46 = select(a_41,i2),
file('theBenchmark.p',hyp23) ).
cnf(c_52,plain,
e_46 = select(a_41,i2),
inference(clausify,[status(thm)],[hyp23]) ).
cnf(c_53,plain,
select(a_41,i2) = e_46,
inference(copy,[status(thm)],[c_52]) ).
fof(hyp24,axiom,
e_48 = select(a_47,i3),
file('theBenchmark.p',hyp24) ).
cnf(c_54,plain,
e_48 = select(a_47,i3),
inference(clausify,[status(thm)],[hyp24]) ).
cnf(c_55,plain,
select(a_47,i3) = e_48,
inference(copy,[status(thm)],[c_54]) ).
fof(hyp25,axiom,
e_50 = select(a_45,i3),
file('theBenchmark.p',hyp25) ).
cnf(c_56,plain,
e_50 = select(a_45,i3),
inference(clausify,[status(thm)],[hyp25]) ).
cnf(c_57,plain,
select(a_45,i3) = e_50,
inference(copy,[status(thm)],[c_56]) ).
fof(hyp26,axiom,
e_52 = select(a_51,i4),
file('theBenchmark.p',hyp26) ).
cnf(c_58,plain,
e_52 = select(a_51,i4),
inference(clausify,[status(thm)],[hyp26]) ).
cnf(c_59,plain,
select(a_51,i4) = e_52,
inference(copy,[status(thm)],[c_58]) ).
fof(hyp27,axiom,
e_54 = select(a_49,i4),
file('theBenchmark.p',hyp27) ).
cnf(c_60,plain,
e_54 = select(a_49,i4),
inference(clausify,[status(thm)],[hyp27]) ).
cnf(c_61,plain,
select(a_49,i4) = e_54,
inference(copy,[status(thm)],[c_60]) ).
fof(hyp28,axiom,
e_56 = select(a_55,i5),
file('theBenchmark.p',hyp28) ).
cnf(c_62,plain,
e_56 = select(a_55,i5),
inference(clausify,[status(thm)],[hyp28]) ).
cnf(c_63,plain,
select(a_55,i5) = e_56,
inference(copy,[status(thm)],[c_62]) ).
fof(hyp29,axiom,
e_58 = select(a_53,i5),
file('theBenchmark.p',hyp29) ).
cnf(c_64,plain,
e_58 = select(a_53,i5),
inference(clausify,[status(thm)],[hyp29]) ).
cnf(c_65,plain,
select(a_53,i5) = e_58,
inference(copy,[status(thm)],[c_64]) ).
fof(hyp30,axiom,
e_60 = select(a_59,i6),
file('theBenchmark.p',hyp30) ).
cnf(c_66,plain,
e_60 = select(a_59,i6),
inference(clausify,[status(thm)],[hyp30]) ).
cnf(c_67,plain,
select(a_59,i6) = e_60,
inference(copy,[status(thm)],[c_66]) ).
fof(hyp31,axiom,
e_62 = select(a_57,i6),
file('theBenchmark.p',hyp31) ).
cnf(c_68,plain,
e_62 = select(a_57,i6),
inference(clausify,[status(thm)],[hyp31]) ).
cnf(c_69,plain,
select(a_57,i6) = e_62,
inference(copy,[status(thm)],[c_68]) ).
fof(hyp32,axiom,
e_64 = select(a_63,i7),
file('theBenchmark.p',hyp32) ).
cnf(c_70,plain,
e_64 = select(a_63,i7),
inference(clausify,[status(thm)],[hyp32]) ).
cnf(c_71,plain,
select(a_63,i7) = e_64,
inference(copy,[status(thm)],[c_70]) ).
fof(hyp33,axiom,
e_66 = select(a_61,i7),
file('theBenchmark.p',hyp33) ).
cnf(c_72,plain,
e_66 = select(a_61,i7),
inference(clausify,[status(thm)],[hyp33]) ).
cnf(c_73,plain,
select(a_61,i7) = e_66,
inference(copy,[status(thm)],[c_72]) ).
fof(hyp34,axiom,
e_68 = select(a_67,i8),
file('theBenchmark.p',hyp34) ).
cnf(c_74,plain,
e_68 = select(a_67,i8),
inference(clausify,[status(thm)],[hyp34]) ).
cnf(c_75,plain,
select(a_67,i8) = e_68,
inference(copy,[status(thm)],[c_74]) ).
fof(hyp35,axiom,
e_70 = select(a_65,i8),
file('theBenchmark.p',hyp35) ).
cnf(c_76,plain,
e_70 = select(a_65,i8),
inference(clausify,[status(thm)],[hyp35]) ).
cnf(c_77,plain,
select(a_65,i8) = e_70,
inference(copy,[status(thm)],[c_76]) ).
fof(hyp36,axiom,
e_72 = select(a_71,i9),
file('theBenchmark.p',hyp36) ).
cnf(c_78,plain,
e_72 = select(a_71,i9),
inference(clausify,[status(thm)],[hyp36]) ).
cnf(c_79,plain,
select(a_71,i9) = e_72,
inference(copy,[status(thm)],[c_78]) ).
fof(hyp37,axiom,
e_74 = select(a_69,i9),
file('theBenchmark.p',hyp37) ).
cnf(c_80,plain,
e_74 = select(a_69,i9),
inference(clausify,[status(thm)],[hyp37]) ).
cnf(c_81,plain,
select(a_69,i9) = e_74,
inference(copy,[status(thm)],[c_80]) ).
fof(hyp38,axiom,
e_76 = select(a_75,i10),
file('theBenchmark.p',hyp38) ).
cnf(c_82,plain,
e_76 = select(a_75,i10),
inference(clausify,[status(thm)],[hyp38]) ).
cnf(c_83,plain,
select(a_75,i10) = e_76,
inference(copy,[status(thm)],[c_82]) ).
fof(hyp39,axiom,
e_78 = select(a_73,i10),
file('theBenchmark.p',hyp39) ).
cnf(c_84,plain,
e_78 = select(a_73,i10),
inference(clausify,[status(thm)],[hyp39]) ).
cnf(c_85,plain,
select(a_73,i10) = e_78,
inference(copy,[status(thm)],[c_84]) ).
fof(hyp40,axiom,
a_77 = a_79,
file('theBenchmark.p',hyp40) ).
cnf(c_86,plain,
a_77 = a_79,
inference(clausify,[status(thm)],[hyp40]) ).
cnf(c_87,plain,
a_79 = a_77,
inference(copy,[status(thm)],[c_86]) ).
fof(goal,axiom,
a1 != a2,
file('theBenchmark.p',goal) ).
cnf(c_88,plain,
a1 != a2,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_89,plain,
a2 != a1,
inference(copy,[status(thm)],[c_88]) ).
cnf(c_90,plain,
store(a_75,i10,e_78) = a_77,
inference(paramod,[status(thm)],[c_87,c_45]) ).
cnf(c_565,plain,
store(a_41,i1,A) = store(a1,i1,A),
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_112,plain,
store(a1,i1,A) = store(a_41,i1,A),
inference(copy,[status(thm)],[c_565]) ).
cnf(c_566,plain,
store(store(a1,i1,A),i1,e_40) = a_41,
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_567,plain,
store(store(a_41,i1,A),i1,e_40) = a_41,
inference(paramod,[status(thm)],[c_112,c_566]) ).
cnf(c_113,plain,
store(a_41,i1,e_40) = a_41,
inference(paramod,[status(thm)],[c_4,c_567]) ).
cnf(c_568,plain,
store(a_43,i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_117,plain,
store(a2,i1,A) = store(a_43,i1,A),
inference(copy,[status(thm)],[c_568]) ).
cnf(c_569,plain,
store(store(a2,i1,A),i1,e_42) = a_43,
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_570,plain,
store(store(a_43,i1,A),i1,e_42) = a_43,
inference(paramod,[status(thm)],[c_117,c_569]) ).
cnf(c_118,plain,
store(a_43,i1,e_42) = a_43,
inference(paramod,[status(thm)],[c_4,c_570]) ).
cnf(c_120,plain,
select(a_45,i2) = e_44,
inference(paramod,[status(thm)],[c_11,c_1]) ).
cnf(c_122,plain,
store(a_45,i2,A) = store(a_41,i2,A),
inference(paramod,[status(thm)],[c_11,c_4]) ).
cnf(c_124,plain,
select(a_47,i2) = e_46,
inference(paramod,[status(thm)],[c_13,c_1]) ).
cnf(c_126,plain,
store(a_47,i2,A) = store(a_43,i2,A),
inference(paramod,[status(thm)],[c_13,c_4]) ).
cnf(c_128,plain,
select(a_49,i3) = e_48,
inference(paramod,[status(thm)],[c_15,c_1]) ).
cnf(c_130,plain,
store(a_49,i3,A) = store(a_45,i3,A),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_132,plain,
select(a_51,i3) = e_50,
inference(paramod,[status(thm)],[c_17,c_1]) ).
cnf(c_134,plain,
store(a_51,i3,A) = store(a_47,i3,A),
inference(paramod,[status(thm)],[c_17,c_4]) ).
cnf(c_136,plain,
select(a_53,i4) = e_52,
inference(paramod,[status(thm)],[c_19,c_1]) ).
cnf(c_138,plain,
store(a_53,i4,A) = store(a_49,i4,A),
inference(paramod,[status(thm)],[c_19,c_4]) ).
cnf(c_140,plain,
select(a_55,i4) = e_54,
inference(paramod,[status(thm)],[c_21,c_1]) ).
cnf(c_142,plain,
store(a_55,i4,A) = store(a_51,i4,A),
inference(paramod,[status(thm)],[c_21,c_4]) ).
cnf(c_144,plain,
select(a_57,i5) = e_56,
inference(paramod,[status(thm)],[c_23,c_1]) ).
cnf(c_146,plain,
store(a_57,i5,A) = store(a_53,i5,A),
inference(paramod,[status(thm)],[c_23,c_4]) ).
cnf(c_148,plain,
select(a_59,i5) = e_58,
inference(paramod,[status(thm)],[c_25,c_1]) ).
cnf(c_150,plain,
store(a_59,i5,A) = store(a_55,i5,A),
inference(paramod,[status(thm)],[c_25,c_4]) ).
cnf(c_152,plain,
select(a_61,i6) = e_60,
inference(paramod,[status(thm)],[c_27,c_1]) ).
cnf(c_154,plain,
store(a_61,i6,A) = store(a_57,i6,A),
inference(paramod,[status(thm)],[c_27,c_4]) ).
cnf(c_156,plain,
select(a_63,i6) = e_62,
inference(paramod,[status(thm)],[c_29,c_1]) ).
cnf(c_158,plain,
store(a_63,i6,A) = store(a_59,i6,A),
inference(paramod,[status(thm)],[c_29,c_4]) ).
cnf(c_160,plain,
select(a_65,i7) = e_64,
inference(paramod,[status(thm)],[c_31,c_1]) ).
cnf(c_162,plain,
store(a_65,i7,A) = store(a_61,i7,A),
inference(paramod,[status(thm)],[c_31,c_4]) ).
cnf(c_164,plain,
select(a_67,i7) = e_66,
inference(paramod,[status(thm)],[c_33,c_1]) ).
cnf(c_166,plain,
store(a_67,i7,A) = store(a_63,i7,A),
inference(paramod,[status(thm)],[c_33,c_4]) ).
cnf(c_168,plain,
select(a_69,i8) = e_68,
inference(paramod,[status(thm)],[c_35,c_1]) ).
cnf(c_170,plain,
store(a_69,i8,A) = store(a_65,i8,A),
inference(paramod,[status(thm)],[c_35,c_4]) ).
cnf(c_172,plain,
select(a_71,i8) = e_70,
inference(paramod,[status(thm)],[c_37,c_1]) ).
cnf(c_174,plain,
store(a_71,i8,A) = store(a_67,i8,A),
inference(paramod,[status(thm)],[c_37,c_4]) ).
cnf(c_176,plain,
select(a_73,i9) = e_72,
inference(paramod,[status(thm)],[c_39,c_1]) ).
cnf(c_178,plain,
store(a_73,i9,A) = store(a_69,i9,A),
inference(paramod,[status(thm)],[c_39,c_4]) ).
cnf(c_180,plain,
select(a_75,i9) = e_74,
inference(paramod,[status(thm)],[c_41,c_1]) ).
cnf(c_182,plain,
store(a_75,i9,A) = store(a_71,i9,A),
inference(paramod,[status(thm)],[c_41,c_4]) ).
cnf(c_184,plain,
select(a_77,i10) = e_76,
inference(paramod,[status(thm)],[c_43,c_1]) ).
cnf(c_186,plain,
store(a_77,i10,A) = store(a_73,i10,A),
inference(paramod,[status(thm)],[c_43,c_4]) ).
cnf(c_571,plain,
store(a2,i1,e_40) = a2,
inference(paramod,[status(thm)],[c_47,c_3]) ).
cnf(c_189,plain,
store(a_43,i1,e_40) = a2,
inference(paramod,[status(thm)],[c_117,c_571]) ).
cnf(c_572,plain,
store(a1,i1,e_42) = a1,
inference(paramod,[status(thm)],[c_49,c_3]) ).
cnf(c_191,plain,
store(a_41,i1,e_42) = a1,
inference(paramod,[status(thm)],[c_112,c_572]) ).
cnf(c_193,plain,
store(a_43,i2,e_44) = a_43,
inference(paramod,[status(thm)],[c_51,c_3]) ).
cnf(c_195,plain,
store(a_41,i2,e_46) = a_41,
inference(paramod,[status(thm)],[c_53,c_3]) ).
cnf(c_197,plain,
store(a_47,i3,e_48) = a_47,
inference(paramod,[status(thm)],[c_55,c_3]) ).
cnf(c_199,plain,
store(a_45,i3,e_50) = a_45,
inference(paramod,[status(thm)],[c_57,c_3]) ).
cnf(c_201,plain,
store(a_51,i4,e_52) = a_51,
inference(paramod,[status(thm)],[c_59,c_3]) ).
cnf(c_203,plain,
store(a_49,i4,e_54) = a_49,
inference(paramod,[status(thm)],[c_61,c_3]) ).
cnf(c_205,plain,
store(a_55,i5,e_56) = a_55,
inference(paramod,[status(thm)],[c_63,c_3]) ).
cnf(c_207,plain,
store(a_53,i5,e_58) = a_53,
inference(paramod,[status(thm)],[c_65,c_3]) ).
cnf(c_209,plain,
store(a_59,i6,e_60) = a_59,
inference(paramod,[status(thm)],[c_67,c_3]) ).
cnf(c_211,plain,
store(a_57,i6,e_62) = a_57,
inference(paramod,[status(thm)],[c_69,c_3]) ).
cnf(c_213,plain,
store(a_63,i7,e_64) = a_63,
inference(paramod,[status(thm)],[c_71,c_3]) ).
cnf(c_215,plain,
store(a_61,i7,e_66) = a_61,
inference(paramod,[status(thm)],[c_73,c_3]) ).
cnf(c_217,plain,
store(a_67,i8,e_68) = a_67,
inference(paramod,[status(thm)],[c_75,c_3]) ).
cnf(c_219,plain,
store(a_65,i8,e_70) = a_65,
inference(paramod,[status(thm)],[c_77,c_3]) ).
cnf(c_221,plain,
store(a_71,i9,e_72) = a_71,
inference(paramod,[status(thm)],[c_79,c_3]) ).
cnf(c_223,plain,
store(a_69,i9,e_74) = a_69,
inference(paramod,[status(thm)],[c_81,c_3]) ).
cnf(c_225,plain,
store(a_75,i10,e_76) = a_75,
inference(paramod,[status(thm)],[c_83,c_3]) ).
cnf(c_227,plain,
store(a_73,i10,e_78) = a_73,
inference(paramod,[status(thm)],[c_85,c_3]) ).
cnf(c_573,plain,
select(a_77,i10) = e_78,
inference(paramod,[status(thm)],[c_90,c_1]) ).
cnf(c_574,plain,
e_76 = e_78,
inference(paramod,[status(thm)],[c_184,c_573]) ).
cnf(c_228,plain,
e_78 = e_76,
inference(copy,[status(thm)],[c_574]) ).
cnf(c_575,plain,
store(a_77,i10,A) = store(a_75,i10,A),
inference(paramod,[status(thm)],[c_90,c_4]) ).
cnf(c_576,plain,
store(a_73,i10,A) = store(a_75,i10,A),
inference(paramod,[status(thm)],[c_186,c_575]) ).
cnf(c_230,plain,
store(a_75,i10,A) = store(a_73,i10,A),
inference(copy,[status(thm)],[c_576]) ).
cnf(c_577,plain,
store(a_73,i10,e_76) = a_73,
inference(paramod,[status(thm)],[c_228,c_227]) ).
cnf(c_232,plain,
a_77 = a_73,
inference(paramod,[status(thm)],[c_43,c_577]) ).
cnf(c_578,plain,
store(a_73,i10,e_76) = a_75,
inference(paramod,[status(thm)],[c_230,c_225]) ).
cnf(c_579,plain,
a_77 = a_75,
inference(paramod,[status(thm)],[c_43,c_578]) ).
cnf(c_580,plain,
a_73 = a_75,
inference(paramod,[status(thm)],[c_232,c_579]) ).
cnf(c_235,plain,
a_75 = a_73,
inference(copy,[status(thm)],[c_580]) ).
cnf(c_581,plain,
store(a_73,i9,A) = store(a_71,i9,A),
inference(paramod,[status(thm)],[c_235,c_182]) ).
cnf(c_582,plain,
store(a_69,i9,A) = store(a_71,i9,A),
inference(paramod,[status(thm)],[c_178,c_581]) ).
cnf(c_240,plain,
store(a_71,i9,A) = store(a_69,i9,A),
inference(copy,[status(thm)],[c_582]) ).
cnf(c_583,plain,
select(a_73,i9) = e_74,
inference(paramod,[status(thm)],[c_235,c_180]) ).
cnf(c_584,plain,
e_72 = e_74,
inference(paramod,[status(thm)],[c_176,c_583]) ).
cnf(c_242,plain,
e_74 = e_72,
inference(copy,[status(thm)],[c_584]) ).
cnf(c_585,plain,
store(a_69,i9,e_72) = a_71,
inference(paramod,[status(thm)],[c_240,c_221]) ).
cnf(c_243,plain,
a_73 = a_71,
inference(paramod,[status(thm)],[c_39,c_585]) ).
cnf(c_586,plain,
store(a_69,i9,e_72) = a_69,
inference(paramod,[status(thm)],[c_242,c_223]) ).
cnf(c_587,plain,
a_73 = a_69,
inference(paramod,[status(thm)],[c_39,c_586]) ).
cnf(c_245,plain,
a_71 = a_69,
inference(paramod,[status(thm)],[c_243,c_587]) ).
cnf(c_588,plain,
store(a_69,i8,A) = store(a_67,i8,A),
inference(paramod,[status(thm)],[c_245,c_174]) ).
cnf(c_589,plain,
store(a_65,i8,A) = store(a_67,i8,A),
inference(paramod,[status(thm)],[c_170,c_588]) ).
cnf(c_259,plain,
store(a_67,i8,A) = store(a_65,i8,A),
inference(copy,[status(thm)],[c_589]) ).
cnf(c_590,plain,
select(a_69,i8) = e_70,
inference(paramod,[status(thm)],[c_245,c_172]) ).
cnf(c_591,plain,
e_68 = e_70,
inference(paramod,[status(thm)],[c_168,c_590]) ).
cnf(c_261,plain,
e_70 = e_68,
inference(copy,[status(thm)],[c_591]) ).
cnf(c_592,plain,
store(a_65,i8,e_68) = a_67,
inference(paramod,[status(thm)],[c_259,c_217]) ).
cnf(c_262,plain,
a_69 = a_67,
inference(paramod,[status(thm)],[c_35,c_592]) ).
cnf(c_593,plain,
store(a_65,i8,e_68) = a_65,
inference(paramod,[status(thm)],[c_261,c_219]) ).
cnf(c_594,plain,
a_69 = a_65,
inference(paramod,[status(thm)],[c_35,c_593]) ).
cnf(c_264,plain,
a_67 = a_65,
inference(paramod,[status(thm)],[c_262,c_594]) ).
cnf(c_595,plain,
store(a_65,i7,A) = store(a_63,i7,A),
inference(paramod,[status(thm)],[c_264,c_166]) ).
cnf(c_596,plain,
store(a_61,i7,A) = store(a_63,i7,A),
inference(paramod,[status(thm)],[c_162,c_595]) ).
cnf(c_284,plain,
store(a_63,i7,A) = store(a_61,i7,A),
inference(copy,[status(thm)],[c_596]) ).
cnf(c_597,plain,
select(a_65,i7) = e_66,
inference(paramod,[status(thm)],[c_264,c_164]) ).
cnf(c_598,plain,
e_64 = e_66,
inference(paramod,[status(thm)],[c_160,c_597]) ).
cnf(c_286,plain,
e_66 = e_64,
inference(copy,[status(thm)],[c_598]) ).
cnf(c_599,plain,
store(a_61,i7,e_64) = a_63,
inference(paramod,[status(thm)],[c_284,c_213]) ).
cnf(c_287,plain,
a_65 = a_63,
inference(paramod,[status(thm)],[c_31,c_599]) ).
cnf(c_600,plain,
store(a_61,i7,e_64) = a_61,
inference(paramod,[status(thm)],[c_286,c_215]) ).
cnf(c_601,plain,
a_65 = a_61,
inference(paramod,[status(thm)],[c_31,c_600]) ).
cnf(c_289,plain,
a_63 = a_61,
inference(paramod,[status(thm)],[c_287,c_601]) ).
cnf(c_602,plain,
store(a_61,i6,A) = store(a_59,i6,A),
inference(paramod,[status(thm)],[c_289,c_158]) ).
cnf(c_603,plain,
store(a_57,i6,A) = store(a_59,i6,A),
inference(paramod,[status(thm)],[c_154,c_602]) ).
cnf(c_315,plain,
store(a_59,i6,A) = store(a_57,i6,A),
inference(copy,[status(thm)],[c_603]) ).
cnf(c_604,plain,
select(a_61,i6) = e_62,
inference(paramod,[status(thm)],[c_289,c_156]) ).
cnf(c_605,plain,
e_60 = e_62,
inference(paramod,[status(thm)],[c_152,c_604]) ).
cnf(c_317,plain,
e_62 = e_60,
inference(copy,[status(thm)],[c_605]) ).
cnf(c_606,plain,
store(a_57,i6,e_60) = a_59,
inference(paramod,[status(thm)],[c_315,c_209]) ).
cnf(c_318,plain,
a_61 = a_59,
inference(paramod,[status(thm)],[c_27,c_606]) ).
cnf(c_607,plain,
store(a_57,i6,e_60) = a_57,
inference(paramod,[status(thm)],[c_317,c_211]) ).
cnf(c_608,plain,
a_61 = a_57,
inference(paramod,[status(thm)],[c_27,c_607]) ).
cnf(c_320,plain,
a_59 = a_57,
inference(paramod,[status(thm)],[c_318,c_608]) ).
cnf(c_609,plain,
store(a_57,i5,A) = store(a_55,i5,A),
inference(paramod,[status(thm)],[c_320,c_150]) ).
cnf(c_610,plain,
store(a_53,i5,A) = store(a_55,i5,A),
inference(paramod,[status(thm)],[c_146,c_609]) ).
cnf(c_352,plain,
store(a_55,i5,A) = store(a_53,i5,A),
inference(copy,[status(thm)],[c_610]) ).
cnf(c_611,plain,
select(a_57,i5) = e_58,
inference(paramod,[status(thm)],[c_320,c_148]) ).
cnf(c_612,plain,
e_56 = e_58,
inference(paramod,[status(thm)],[c_144,c_611]) ).
cnf(c_354,plain,
e_58 = e_56,
inference(copy,[status(thm)],[c_612]) ).
cnf(c_613,plain,
store(a_53,i5,e_56) = a_55,
inference(paramod,[status(thm)],[c_352,c_205]) ).
cnf(c_355,plain,
a_57 = a_55,
inference(paramod,[status(thm)],[c_23,c_613]) ).
cnf(c_614,plain,
store(a_53,i5,e_56) = a_53,
inference(paramod,[status(thm)],[c_354,c_207]) ).
cnf(c_615,plain,
a_57 = a_53,
inference(paramod,[status(thm)],[c_23,c_614]) ).
cnf(c_357,plain,
a_55 = a_53,
inference(paramod,[status(thm)],[c_355,c_615]) ).
cnf(c_616,plain,
store(a_53,i4,A) = store(a_51,i4,A),
inference(paramod,[status(thm)],[c_357,c_142]) ).
cnf(c_617,plain,
store(a_49,i4,A) = store(a_51,i4,A),
inference(paramod,[status(thm)],[c_138,c_616]) ).
cnf(c_395,plain,
store(a_51,i4,A) = store(a_49,i4,A),
inference(copy,[status(thm)],[c_617]) ).
cnf(c_618,plain,
select(a_53,i4) = e_54,
inference(paramod,[status(thm)],[c_357,c_140]) ).
cnf(c_619,plain,
e_52 = e_54,
inference(paramod,[status(thm)],[c_136,c_618]) ).
cnf(c_397,plain,
e_54 = e_52,
inference(copy,[status(thm)],[c_619]) ).
cnf(c_620,plain,
store(a_49,i4,e_52) = a_51,
inference(paramod,[status(thm)],[c_395,c_201]) ).
cnf(c_398,plain,
a_53 = a_51,
inference(paramod,[status(thm)],[c_19,c_620]) ).
cnf(c_621,plain,
store(a_49,i4,e_52) = a_49,
inference(paramod,[status(thm)],[c_397,c_203]) ).
cnf(c_622,plain,
a_53 = a_49,
inference(paramod,[status(thm)],[c_19,c_621]) ).
cnf(c_400,plain,
a_51 = a_49,
inference(paramod,[status(thm)],[c_398,c_622]) ).
cnf(c_623,plain,
store(a_49,i3,A) = store(a_47,i3,A),
inference(paramod,[status(thm)],[c_400,c_134]) ).
cnf(c_624,plain,
store(a_45,i3,A) = store(a_47,i3,A),
inference(paramod,[status(thm)],[c_130,c_623]) ).
cnf(c_444,plain,
store(a_47,i3,A) = store(a_45,i3,A),
inference(copy,[status(thm)],[c_624]) ).
cnf(c_625,plain,
select(a_49,i3) = e_50,
inference(paramod,[status(thm)],[c_400,c_132]) ).
cnf(c_626,plain,
e_48 = e_50,
inference(paramod,[status(thm)],[c_128,c_625]) ).
cnf(c_446,plain,
e_50 = e_48,
inference(copy,[status(thm)],[c_626]) ).
cnf(c_627,plain,
store(a_45,i3,e_48) = a_47,
inference(paramod,[status(thm)],[c_444,c_197]) ).
cnf(c_447,plain,
a_49 = a_47,
inference(paramod,[status(thm)],[c_15,c_627]) ).
cnf(c_628,plain,
store(a_45,i3,e_48) = a_45,
inference(paramod,[status(thm)],[c_446,c_199]) ).
cnf(c_629,plain,
a_49 = a_45,
inference(paramod,[status(thm)],[c_15,c_628]) ).
cnf(c_449,plain,
a_47 = a_45,
inference(paramod,[status(thm)],[c_447,c_629]) ).
cnf(c_630,plain,
store(a_45,i2,A) = store(a_43,i2,A),
inference(paramod,[status(thm)],[c_449,c_126]) ).
cnf(c_631,plain,
store(a_41,i2,A) = store(a_43,i2,A),
inference(paramod,[status(thm)],[c_122,c_630]) ).
cnf(c_499,plain,
store(a_43,i2,A) = store(a_41,i2,A),
inference(copy,[status(thm)],[c_631]) ).
cnf(c_632,plain,
select(a_45,i2) = e_46,
inference(paramod,[status(thm)],[c_449,c_124]) ).
cnf(c_633,plain,
e_44 = e_46,
inference(paramod,[status(thm)],[c_120,c_632]) ).
cnf(c_501,plain,
e_46 = e_44,
inference(copy,[status(thm)],[c_633]) ).
cnf(c_634,plain,
store(a_41,i2,e_44) = a_43,
inference(paramod,[status(thm)],[c_499,c_193]) ).
cnf(c_502,plain,
a_45 = a_43,
inference(paramod,[status(thm)],[c_11,c_634]) ).
cnf(c_635,plain,
store(a_41,i2,e_44) = a_41,
inference(paramod,[status(thm)],[c_501,c_195]) ).
cnf(c_636,plain,
a_45 = a_41,
inference(paramod,[status(thm)],[c_11,c_635]) ).
cnf(c_504,plain,
a_43 = a_41,
inference(paramod,[status(thm)],[c_502,c_636]) ).
cnf(c_637,plain,
store(a_41,i1,e_40) = a2,
inference(paramod,[status(thm)],[c_504,c_189]) ).
cnf(c_638,plain,
a_41 = a2,
inference(paramod,[status(thm)],[c_113,c_637]) ).
cnf(c_559,plain,
a2 = a_41,
inference(copy,[status(thm)],[c_638]) ).
cnf(c_639,plain,
store(a_41,i1,e_42) = a_43,
inference(paramod,[status(thm)],[c_504,c_118]) ).
cnf(c_640,plain,
a1 = a_43,
inference(paramod,[status(thm)],[c_191,c_639]) ).
cnf(c_561,plain,
a1 = a_41,
inference(paramod,[status(thm)],[c_504,c_640]) ).
cnf(c_641,plain,
a_41 != a1,
inference(paramod,[status(thm)],[c_559,c_89]) ).
cnf(c_642,plain,
a_41 != a_41,
inference(paramod,[status(thm)],[c_561,c_641]) ).
cnf(c_564,plain,
$false,
inference(copy,[status(thm)],[c_642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV558-1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 14:26:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2348072 was started by sandbox on n005,
% 0.08/0.35 % Sat Sep 26 14:26:32 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.43
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.43
% 0.12/0.43 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.12/0.43 % Length of proof is 185.
% 0.12/0.43 % Level of proof is 31.
% 0.12/0.43 % Maximum clause weight is 27.000.
% 0.12/0.43 % Given clauses 47.
% 0.12/0.43
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------