%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV558-1.007 : 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 : n001.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 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 33
% Syntax : Number of formulae : 221 ( 221 unt; 0 def)
% Number of atoms : 221 ( 220 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 : 39 ( 39 usr; 37 con; 0-3 aty)
% Number of variables : 55 ( 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_29 = store(a1,i1,e_28),
file('theBenchmark.p',hyp0) ).
cnf(c_6,plain,
a_29 = store(a1,i1,e_28),
inference(clausify,[status(thm)],[hyp0]) ).
cnf(c_7,plain,
store(a1,i1,e_28) = a_29,
inference(copy,[status(thm)],[c_6]) ).
fof(hyp1,axiom,
a_31 = store(a2,i1,e_30),
file('theBenchmark.p',hyp1) ).
cnf(c_8,plain,
a_31 = store(a2,i1,e_30),
inference(clausify,[status(thm)],[hyp1]) ).
cnf(c_9,plain,
store(a2,i1,e_30) = a_31,
inference(copy,[status(thm)],[c_8]) ).
fof(hyp2,axiom,
a_33 = store(a_29,i2,e_32),
file('theBenchmark.p',hyp2) ).
cnf(c_10,plain,
a_33 = store(a_29,i2,e_32),
inference(clausify,[status(thm)],[hyp2]) ).
cnf(c_11,plain,
store(a_29,i2,e_32) = a_33,
inference(copy,[status(thm)],[c_10]) ).
fof(hyp3,axiom,
a_35 = store(a_31,i2,e_34),
file('theBenchmark.p',hyp3) ).
cnf(c_12,plain,
a_35 = store(a_31,i2,e_34),
inference(clausify,[status(thm)],[hyp3]) ).
cnf(c_13,plain,
store(a_31,i2,e_34) = a_35,
inference(copy,[status(thm)],[c_12]) ).
fof(hyp4,axiom,
a_37 = store(a_33,i3,e_36),
file('theBenchmark.p',hyp4) ).
cnf(c_14,plain,
a_37 = store(a_33,i3,e_36),
inference(clausify,[status(thm)],[hyp4]) ).
cnf(c_15,plain,
store(a_33,i3,e_36) = a_37,
inference(copy,[status(thm)],[c_14]) ).
fof(hyp5,axiom,
a_39 = store(a_35,i3,e_38),
file('theBenchmark.p',hyp5) ).
cnf(c_16,plain,
a_39 = store(a_35,i3,e_38),
inference(clausify,[status(thm)],[hyp5]) ).
cnf(c_17,plain,
store(a_35,i3,e_38) = a_39,
inference(copy,[status(thm)],[c_16]) ).
fof(hyp6,axiom,
a_41 = store(a_37,i4,e_40),
file('theBenchmark.p',hyp6) ).
cnf(c_18,plain,
a_41 = store(a_37,i4,e_40),
inference(clausify,[status(thm)],[hyp6]) ).
cnf(c_19,plain,
store(a_37,i4,e_40) = a_41,
inference(copy,[status(thm)],[c_18]) ).
fof(hyp7,axiom,
a_43 = store(a_39,i4,e_42),
file('theBenchmark.p',hyp7) ).
cnf(c_20,plain,
a_43 = store(a_39,i4,e_42),
inference(clausify,[status(thm)],[hyp7]) ).
cnf(c_21,plain,
store(a_39,i4,e_42) = a_43,
inference(copy,[status(thm)],[c_20]) ).
fof(hyp8,axiom,
a_45 = store(a_41,i5,e_44),
file('theBenchmark.p',hyp8) ).
cnf(c_22,plain,
a_45 = store(a_41,i5,e_44),
inference(clausify,[status(thm)],[hyp8]) ).
cnf(c_23,plain,
store(a_41,i5,e_44) = a_45,
inference(copy,[status(thm)],[c_22]) ).
fof(hyp9,axiom,
a_47 = store(a_43,i5,e_46),
file('theBenchmark.p',hyp9) ).
cnf(c_24,plain,
a_47 = store(a_43,i5,e_46),
inference(clausify,[status(thm)],[hyp9]) ).
cnf(c_25,plain,
store(a_43,i5,e_46) = a_47,
inference(copy,[status(thm)],[c_24]) ).
fof(hyp10,axiom,
a_49 = store(a_45,i6,e_48),
file('theBenchmark.p',hyp10) ).
cnf(c_26,plain,
a_49 = store(a_45,i6,e_48),
inference(clausify,[status(thm)],[hyp10]) ).
cnf(c_27,plain,
store(a_45,i6,e_48) = a_49,
inference(copy,[status(thm)],[c_26]) ).
fof(hyp11,axiom,
a_51 = store(a_47,i6,e_50),
file('theBenchmark.p',hyp11) ).
cnf(c_28,plain,
a_51 = store(a_47,i6,e_50),
inference(clausify,[status(thm)],[hyp11]) ).
cnf(c_29,plain,
store(a_47,i6,e_50) = a_51,
inference(copy,[status(thm)],[c_28]) ).
fof(hyp12,axiom,
a_53 = store(a_49,i7,e_52),
file('theBenchmark.p',hyp12) ).
cnf(c_30,plain,
a_53 = store(a_49,i7,e_52),
inference(clausify,[status(thm)],[hyp12]) ).
cnf(c_31,plain,
store(a_49,i7,e_52) = a_53,
inference(copy,[status(thm)],[c_30]) ).
fof(hyp13,axiom,
a_55 = store(a_51,i7,e_54),
file('theBenchmark.p',hyp13) ).
cnf(c_32,plain,
a_55 = store(a_51,i7,e_54),
inference(clausify,[status(thm)],[hyp13]) ).
cnf(c_33,plain,
store(a_51,i7,e_54) = a_55,
inference(copy,[status(thm)],[c_32]) ).
fof(hyp14,axiom,
e_28 = select(a2,i1),
file('theBenchmark.p',hyp14) ).
cnf(c_34,plain,
e_28 = select(a2,i1),
inference(clausify,[status(thm)],[hyp14]) ).
cnf(c_35,plain,
select(a2,i1) = e_28,
inference(copy,[status(thm)],[c_34]) ).
fof(hyp15,axiom,
e_30 = select(a1,i1),
file('theBenchmark.p',hyp15) ).
cnf(c_36,plain,
e_30 = select(a1,i1),
inference(clausify,[status(thm)],[hyp15]) ).
cnf(c_37,plain,
select(a1,i1) = e_30,
inference(copy,[status(thm)],[c_36]) ).
fof(hyp16,axiom,
e_32 = select(a_31,i2),
file('theBenchmark.p',hyp16) ).
cnf(c_38,plain,
e_32 = select(a_31,i2),
inference(clausify,[status(thm)],[hyp16]) ).
cnf(c_39,plain,
select(a_31,i2) = e_32,
inference(copy,[status(thm)],[c_38]) ).
fof(hyp17,axiom,
e_34 = select(a_29,i2),
file('theBenchmark.p',hyp17) ).
cnf(c_40,plain,
e_34 = select(a_29,i2),
inference(clausify,[status(thm)],[hyp17]) ).
cnf(c_41,plain,
select(a_29,i2) = e_34,
inference(copy,[status(thm)],[c_40]) ).
fof(hyp18,axiom,
e_36 = select(a_35,i3),
file('theBenchmark.p',hyp18) ).
cnf(c_42,plain,
e_36 = select(a_35,i3),
inference(clausify,[status(thm)],[hyp18]) ).
cnf(c_43,plain,
select(a_35,i3) = e_36,
inference(copy,[status(thm)],[c_42]) ).
fof(hyp19,axiom,
e_38 = select(a_33,i3),
file('theBenchmark.p',hyp19) ).
cnf(c_44,plain,
e_38 = select(a_33,i3),
inference(clausify,[status(thm)],[hyp19]) ).
cnf(c_45,plain,
select(a_33,i3) = e_38,
inference(copy,[status(thm)],[c_44]) ).
fof(hyp20,axiom,
e_40 = select(a_39,i4),
file('theBenchmark.p',hyp20) ).
cnf(c_46,plain,
e_40 = select(a_39,i4),
inference(clausify,[status(thm)],[hyp20]) ).
cnf(c_47,plain,
select(a_39,i4) = e_40,
inference(copy,[status(thm)],[c_46]) ).
fof(hyp21,axiom,
e_42 = select(a_37,i4),
file('theBenchmark.p',hyp21) ).
cnf(c_48,plain,
e_42 = select(a_37,i4),
inference(clausify,[status(thm)],[hyp21]) ).
cnf(c_49,plain,
select(a_37,i4) = e_42,
inference(copy,[status(thm)],[c_48]) ).
fof(hyp22,axiom,
e_44 = select(a_43,i5),
file('theBenchmark.p',hyp22) ).
cnf(c_50,plain,
e_44 = select(a_43,i5),
inference(clausify,[status(thm)],[hyp22]) ).
cnf(c_51,plain,
select(a_43,i5) = e_44,
inference(copy,[status(thm)],[c_50]) ).
fof(hyp23,axiom,
e_46 = select(a_41,i5),
file('theBenchmark.p',hyp23) ).
cnf(c_52,plain,
e_46 = select(a_41,i5),
inference(clausify,[status(thm)],[hyp23]) ).
cnf(c_53,plain,
select(a_41,i5) = e_46,
inference(copy,[status(thm)],[c_52]) ).
fof(hyp24,axiom,
e_48 = select(a_47,i6),
file('theBenchmark.p',hyp24) ).
cnf(c_54,plain,
e_48 = select(a_47,i6),
inference(clausify,[status(thm)],[hyp24]) ).
cnf(c_55,plain,
select(a_47,i6) = e_48,
inference(copy,[status(thm)],[c_54]) ).
fof(hyp25,axiom,
e_50 = select(a_45,i6),
file('theBenchmark.p',hyp25) ).
cnf(c_56,plain,
e_50 = select(a_45,i6),
inference(clausify,[status(thm)],[hyp25]) ).
cnf(c_57,plain,
select(a_45,i6) = e_50,
inference(copy,[status(thm)],[c_56]) ).
fof(hyp26,axiom,
e_52 = select(a_51,i7),
file('theBenchmark.p',hyp26) ).
cnf(c_58,plain,
e_52 = select(a_51,i7),
inference(clausify,[status(thm)],[hyp26]) ).
cnf(c_59,plain,
select(a_51,i7) = e_52,
inference(copy,[status(thm)],[c_58]) ).
fof(hyp27,axiom,
e_54 = select(a_49,i7),
file('theBenchmark.p',hyp27) ).
cnf(c_60,plain,
e_54 = select(a_49,i7),
inference(clausify,[status(thm)],[hyp27]) ).
cnf(c_61,plain,
select(a_49,i7) = e_54,
inference(copy,[status(thm)],[c_60]) ).
fof(hyp28,axiom,
a_53 = a_55,
file('theBenchmark.p',hyp28) ).
cnf(c_62,plain,
a_53 = a_55,
inference(clausify,[status(thm)],[hyp28]) ).
cnf(c_63,plain,
a_55 = a_53,
inference(copy,[status(thm)],[c_62]) ).
fof(goal,axiom,
a1 != a2,
file('theBenchmark.p',goal) ).
cnf(c_64,plain,
a1 != a2,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_65,plain,
a2 != a1,
inference(copy,[status(thm)],[c_64]) ).
cnf(c_66,plain,
store(a_51,i7,e_54) = a_53,
inference(paramod,[status(thm)],[c_63,c_33]) ).
cnf(c_220,plain,
store(a_29,i1,A) = store(a1,i1,A),
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_68,plain,
store(a1,i1,A) = store(a_29,i1,A),
inference(copy,[status(thm)],[c_220]) ).
cnf(c_221,plain,
store(store(a1,i1,A),i1,e_28) = a_29,
inference(paramod,[status(thm)],[c_7,c_4]) ).
cnf(c_222,plain,
store(store(a_29,i1,A),i1,e_28) = a_29,
inference(paramod,[status(thm)],[c_68,c_221]) ).
cnf(c_69,plain,
store(a_29,i1,e_28) = a_29,
inference(paramod,[status(thm)],[c_4,c_222]) ).
cnf(c_223,plain,
store(a_31,i1,A) = store(a2,i1,A),
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_71,plain,
store(a2,i1,A) = store(a_31,i1,A),
inference(copy,[status(thm)],[c_223]) ).
cnf(c_224,plain,
store(store(a2,i1,A),i1,e_30) = a_31,
inference(paramod,[status(thm)],[c_9,c_4]) ).
cnf(c_225,plain,
store(store(a_31,i1,A),i1,e_30) = a_31,
inference(paramod,[status(thm)],[c_71,c_224]) ).
cnf(c_72,plain,
store(a_31,i1,e_30) = a_31,
inference(paramod,[status(thm)],[c_4,c_225]) ).
cnf(c_73,plain,
select(a_33,i2) = e_32,
inference(paramod,[status(thm)],[c_11,c_1]) ).
cnf(c_74,plain,
store(a_33,i2,A) = store(a_29,i2,A),
inference(paramod,[status(thm)],[c_11,c_4]) ).
cnf(c_75,plain,
select(a_35,i2) = e_34,
inference(paramod,[status(thm)],[c_13,c_1]) ).
cnf(c_76,plain,
store(a_35,i2,A) = store(a_31,i2,A),
inference(paramod,[status(thm)],[c_13,c_4]) ).
cnf(c_77,plain,
select(a_37,i3) = e_36,
inference(paramod,[status(thm)],[c_15,c_1]) ).
cnf(c_78,plain,
store(a_37,i3,A) = store(a_33,i3,A),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_79,plain,
select(a_39,i3) = e_38,
inference(paramod,[status(thm)],[c_17,c_1]) ).
cnf(c_80,plain,
store(a_39,i3,A) = store(a_35,i3,A),
inference(paramod,[status(thm)],[c_17,c_4]) ).
cnf(c_81,plain,
select(a_41,i4) = e_40,
inference(paramod,[status(thm)],[c_19,c_1]) ).
cnf(c_82,plain,
store(a_41,i4,A) = store(a_37,i4,A),
inference(paramod,[status(thm)],[c_19,c_4]) ).
cnf(c_83,plain,
select(a_43,i4) = e_42,
inference(paramod,[status(thm)],[c_21,c_1]) ).
cnf(c_84,plain,
store(a_43,i4,A) = store(a_39,i4,A),
inference(paramod,[status(thm)],[c_21,c_4]) ).
cnf(c_85,plain,
select(a_45,i5) = e_44,
inference(paramod,[status(thm)],[c_23,c_1]) ).
cnf(c_86,plain,
store(a_45,i5,A) = store(a_41,i5,A),
inference(paramod,[status(thm)],[c_23,c_4]) ).
cnf(c_87,plain,
select(a_47,i5) = e_46,
inference(paramod,[status(thm)],[c_25,c_1]) ).
cnf(c_88,plain,
store(a_47,i5,A) = store(a_43,i5,A),
inference(paramod,[status(thm)],[c_25,c_4]) ).
cnf(c_89,plain,
select(a_49,i6) = e_48,
inference(paramod,[status(thm)],[c_27,c_1]) ).
cnf(c_90,plain,
store(a_49,i6,A) = store(a_45,i6,A),
inference(paramod,[status(thm)],[c_27,c_4]) ).
cnf(c_91,plain,
select(a_51,i6) = e_50,
inference(paramod,[status(thm)],[c_29,c_1]) ).
cnf(c_92,plain,
store(a_51,i6,A) = store(a_47,i6,A),
inference(paramod,[status(thm)],[c_29,c_4]) ).
cnf(c_93,plain,
select(a_53,i7) = e_52,
inference(paramod,[status(thm)],[c_31,c_1]) ).
cnf(c_94,plain,
store(a_53,i7,A) = store(a_49,i7,A),
inference(paramod,[status(thm)],[c_31,c_4]) ).
cnf(c_226,plain,
store(a2,i1,e_28) = a2,
inference(paramod,[status(thm)],[c_35,c_3]) ).
cnf(c_95,plain,
store(a_31,i1,e_28) = a2,
inference(paramod,[status(thm)],[c_71,c_226]) ).
cnf(c_227,plain,
store(a1,i1,e_30) = a1,
inference(paramod,[status(thm)],[c_37,c_3]) ).
cnf(c_96,plain,
store(a_29,i1,e_30) = a1,
inference(paramod,[status(thm)],[c_68,c_227]) ).
cnf(c_97,plain,
store(a_31,i2,e_32) = a_31,
inference(paramod,[status(thm)],[c_39,c_3]) ).
cnf(c_98,plain,
store(a_29,i2,e_34) = a_29,
inference(paramod,[status(thm)],[c_41,c_3]) ).
cnf(c_99,plain,
store(a_35,i3,e_36) = a_35,
inference(paramod,[status(thm)],[c_43,c_3]) ).
cnf(c_100,plain,
store(a_33,i3,e_38) = a_33,
inference(paramod,[status(thm)],[c_45,c_3]) ).
cnf(c_101,plain,
store(a_39,i4,e_40) = a_39,
inference(paramod,[status(thm)],[c_47,c_3]) ).
cnf(c_102,plain,
store(a_37,i4,e_42) = a_37,
inference(paramod,[status(thm)],[c_49,c_3]) ).
cnf(c_103,plain,
store(a_43,i5,e_44) = a_43,
inference(paramod,[status(thm)],[c_51,c_3]) ).
cnf(c_104,plain,
store(a_41,i5,e_46) = a_41,
inference(paramod,[status(thm)],[c_53,c_3]) ).
cnf(c_105,plain,
store(a_47,i6,e_48) = a_47,
inference(paramod,[status(thm)],[c_55,c_3]) ).
cnf(c_106,plain,
store(a_45,i6,e_50) = a_45,
inference(paramod,[status(thm)],[c_57,c_3]) ).
cnf(c_107,plain,
store(a_51,i7,e_52) = a_51,
inference(paramod,[status(thm)],[c_59,c_3]) ).
cnf(c_108,plain,
store(a_49,i7,e_54) = a_49,
inference(paramod,[status(thm)],[c_61,c_3]) ).
cnf(c_228,plain,
select(a_53,i7) = e_54,
inference(paramod,[status(thm)],[c_66,c_1]) ).
cnf(c_229,plain,
e_52 = e_54,
inference(paramod,[status(thm)],[c_93,c_228]) ).
cnf(c_109,plain,
e_54 = e_52,
inference(copy,[status(thm)],[c_229]) ).
cnf(c_230,plain,
store(a_53,i7,A) = store(a_51,i7,A),
inference(paramod,[status(thm)],[c_66,c_4]) ).
cnf(c_231,plain,
store(a_49,i7,A) = store(a_51,i7,A),
inference(paramod,[status(thm)],[c_94,c_230]) ).
cnf(c_110,plain,
store(a_51,i7,A) = store(a_49,i7,A),
inference(copy,[status(thm)],[c_231]) ).
cnf(c_232,plain,
store(a_49,i7,e_52) = a_49,
inference(paramod,[status(thm)],[c_109,c_108]) ).
cnf(c_111,plain,
a_53 = a_49,
inference(paramod,[status(thm)],[c_31,c_232]) ).
cnf(c_233,plain,
store(a_49,i7,e_52) = a_51,
inference(paramod,[status(thm)],[c_110,c_107]) ).
cnf(c_234,plain,
a_53 = a_51,
inference(paramod,[status(thm)],[c_31,c_233]) ).
cnf(c_235,plain,
a_49 = a_51,
inference(paramod,[status(thm)],[c_111,c_234]) ).
cnf(c_113,plain,
a_51 = a_49,
inference(copy,[status(thm)],[c_235]) ).
cnf(c_236,plain,
store(a_49,i6,A) = store(a_47,i6,A),
inference(paramod,[status(thm)],[c_113,c_92]) ).
cnf(c_237,plain,
store(a_45,i6,A) = store(a_47,i6,A),
inference(paramod,[status(thm)],[c_90,c_236]) ).
cnf(c_116,plain,
store(a_47,i6,A) = store(a_45,i6,A),
inference(copy,[status(thm)],[c_237]) ).
cnf(c_238,plain,
select(a_49,i6) = e_50,
inference(paramod,[status(thm)],[c_113,c_91]) ).
cnf(c_239,plain,
e_48 = e_50,
inference(paramod,[status(thm)],[c_89,c_238]) ).
cnf(c_117,plain,
e_50 = e_48,
inference(copy,[status(thm)],[c_239]) ).
cnf(c_240,plain,
store(a_45,i6,e_48) = a_47,
inference(paramod,[status(thm)],[c_116,c_105]) ).
cnf(c_118,plain,
a_49 = a_47,
inference(paramod,[status(thm)],[c_27,c_240]) ).
cnf(c_241,plain,
store(a_45,i6,e_48) = a_45,
inference(paramod,[status(thm)],[c_117,c_106]) ).
cnf(c_242,plain,
a_49 = a_45,
inference(paramod,[status(thm)],[c_27,c_241]) ).
cnf(c_119,plain,
a_47 = a_45,
inference(paramod,[status(thm)],[c_118,c_242]) ).
cnf(c_243,plain,
store(a_45,i5,A) = store(a_43,i5,A),
inference(paramod,[status(thm)],[c_119,c_88]) ).
cnf(c_244,plain,
store(a_41,i5,A) = store(a_43,i5,A),
inference(paramod,[status(thm)],[c_86,c_243]) ).
cnf(c_128,plain,
store(a_43,i5,A) = store(a_41,i5,A),
inference(copy,[status(thm)],[c_244]) ).
cnf(c_245,plain,
select(a_45,i5) = e_46,
inference(paramod,[status(thm)],[c_119,c_87]) ).
cnf(c_246,plain,
e_44 = e_46,
inference(paramod,[status(thm)],[c_85,c_245]) ).
cnf(c_129,plain,
e_46 = e_44,
inference(copy,[status(thm)],[c_246]) ).
cnf(c_247,plain,
store(a_41,i5,e_44) = a_43,
inference(paramod,[status(thm)],[c_128,c_103]) ).
cnf(c_130,plain,
a_45 = a_43,
inference(paramod,[status(thm)],[c_23,c_247]) ).
cnf(c_248,plain,
store(a_41,i5,e_44) = a_41,
inference(paramod,[status(thm)],[c_129,c_104]) ).
cnf(c_249,plain,
a_45 = a_41,
inference(paramod,[status(thm)],[c_23,c_248]) ).
cnf(c_131,plain,
a_43 = a_41,
inference(paramod,[status(thm)],[c_130,c_249]) ).
cnf(c_250,plain,
store(a_41,i4,A) = store(a_39,i4,A),
inference(paramod,[status(thm)],[c_131,c_84]) ).
cnf(c_251,plain,
store(a_37,i4,A) = store(a_39,i4,A),
inference(paramod,[status(thm)],[c_82,c_250]) ).
cnf(c_144,plain,
store(a_39,i4,A) = store(a_37,i4,A),
inference(copy,[status(thm)],[c_251]) ).
cnf(c_252,plain,
select(a_41,i4) = e_42,
inference(paramod,[status(thm)],[c_131,c_83]) ).
cnf(c_253,plain,
e_40 = e_42,
inference(paramod,[status(thm)],[c_81,c_252]) ).
cnf(c_145,plain,
e_42 = e_40,
inference(copy,[status(thm)],[c_253]) ).
cnf(c_254,plain,
store(a_37,i4,e_40) = a_39,
inference(paramod,[status(thm)],[c_144,c_101]) ).
cnf(c_146,plain,
a_41 = a_39,
inference(paramod,[status(thm)],[c_19,c_254]) ).
cnf(c_255,plain,
store(a_37,i4,e_40) = a_37,
inference(paramod,[status(thm)],[c_145,c_102]) ).
cnf(c_256,plain,
a_41 = a_37,
inference(paramod,[status(thm)],[c_19,c_255]) ).
cnf(c_147,plain,
a_39 = a_37,
inference(paramod,[status(thm)],[c_146,c_256]) ).
cnf(c_257,plain,
store(a_37,i3,A) = store(a_35,i3,A),
inference(paramod,[status(thm)],[c_147,c_80]) ).
cnf(c_258,plain,
store(a_33,i3,A) = store(a_35,i3,A),
inference(paramod,[status(thm)],[c_78,c_257]) ).
cnf(c_164,plain,
store(a_35,i3,A) = store(a_33,i3,A),
inference(copy,[status(thm)],[c_258]) ).
cnf(c_259,plain,
select(a_37,i3) = e_38,
inference(paramod,[status(thm)],[c_147,c_79]) ).
cnf(c_260,plain,
e_36 = e_38,
inference(paramod,[status(thm)],[c_77,c_259]) ).
cnf(c_165,plain,
e_38 = e_36,
inference(copy,[status(thm)],[c_260]) ).
cnf(c_261,plain,
store(a_33,i3,e_36) = a_35,
inference(paramod,[status(thm)],[c_164,c_99]) ).
cnf(c_166,plain,
a_37 = a_35,
inference(paramod,[status(thm)],[c_15,c_261]) ).
cnf(c_262,plain,
store(a_33,i3,e_36) = a_33,
inference(paramod,[status(thm)],[c_165,c_100]) ).
cnf(c_263,plain,
a_37 = a_33,
inference(paramod,[status(thm)],[c_15,c_262]) ).
cnf(c_167,plain,
a_35 = a_33,
inference(paramod,[status(thm)],[c_166,c_263]) ).
cnf(c_264,plain,
store(a_33,i2,A) = store(a_31,i2,A),
inference(paramod,[status(thm)],[c_167,c_76]) ).
cnf(c_265,plain,
store(a_29,i2,A) = store(a_31,i2,A),
inference(paramod,[status(thm)],[c_74,c_264]) ).
cnf(c_188,plain,
store(a_31,i2,A) = store(a_29,i2,A),
inference(copy,[status(thm)],[c_265]) ).
cnf(c_266,plain,
select(a_33,i2) = e_34,
inference(paramod,[status(thm)],[c_167,c_75]) ).
cnf(c_267,plain,
e_32 = e_34,
inference(paramod,[status(thm)],[c_73,c_266]) ).
cnf(c_189,plain,
e_34 = e_32,
inference(copy,[status(thm)],[c_267]) ).
cnf(c_268,plain,
store(a_29,i2,e_32) = a_31,
inference(paramod,[status(thm)],[c_188,c_97]) ).
cnf(c_190,plain,
a_33 = a_31,
inference(paramod,[status(thm)],[c_11,c_268]) ).
cnf(c_269,plain,
store(a_29,i2,e_32) = a_29,
inference(paramod,[status(thm)],[c_189,c_98]) ).
cnf(c_270,plain,
a_33 = a_29,
inference(paramod,[status(thm)],[c_11,c_269]) ).
cnf(c_191,plain,
a_31 = a_29,
inference(paramod,[status(thm)],[c_190,c_270]) ).
cnf(c_271,plain,
store(a_29,i1,e_28) = a2,
inference(paramod,[status(thm)],[c_191,c_95]) ).
cnf(c_272,plain,
a_29 = a2,
inference(paramod,[status(thm)],[c_69,c_271]) ).
cnf(c_216,plain,
a2 = a_29,
inference(copy,[status(thm)],[c_272]) ).
cnf(c_273,plain,
store(a_29,i1,e_30) = a_31,
inference(paramod,[status(thm)],[c_191,c_72]) ).
cnf(c_274,plain,
a1 = a_31,
inference(paramod,[status(thm)],[c_96,c_273]) ).
cnf(c_217,plain,
a1 = a_29,
inference(paramod,[status(thm)],[c_191,c_274]) ).
cnf(c_275,plain,
a_29 != a1,
inference(paramod,[status(thm)],[c_216,c_65]) ).
cnf(c_276,plain,
a_29 != a_29,
inference(paramod,[status(thm)],[c_217,c_275]) ).
cnf(c_219,plain,
$false,
inference(copy,[status(thm)],[c_276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV558-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 14:32:43 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 2008452 was started by sandbox on n001,
% 0.17/0.44 % Sat Sep 26 14:32:43 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.47
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47
% 0.17/0.47 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.17/0.47 % Length of proof is 131.
% 0.17/0.47 % Level of proof is 22.
% 0.17/0.47 % Maximum clause weight is 27.000.
% 0.17/0.47 % Given clauses 35.
% 0.17/0.47
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------