%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV543-1.004 : 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 : n018.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 09:08:15 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 25
% Syntax : Number of formulae : 123 ( 123 unt; 0 def)
% Number of atoms : 123 ( 122 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 18 ( 1 sgn 6 !; 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,VAR_2] : store(store(VAR_0,VAR_1,select(VAR_0,VAR_2)),VAR_2,select(VAR_0,VAR_1)) = store(store(VAR_0,VAR_2,select(VAR_0,VAR_1)),VAR_1,select(VAR_0,VAR_2)),
file('theBenchmark.p',a3) ).
cnf(c_3,plain,
store(store(A,B,select(A,C)),C,select(A,B)) = store(store(A,C,select(A,B)),B,select(A,C)),
inference(clausify,[status(thm)],[a3]) ).
fof(hyp2,axiom,
a_420 = store(a_418,i0,e_419),
file('theBenchmark.p',hyp2) ).
cnf(c_8,plain,
a_420 = store(a_418,i0,e_419),
inference(clausify,[status(thm)],[hyp2]) ).
cnf(c_9,plain,
store(a_418,i0,e_419) = a_420,
inference(copy,[status(thm)],[c_8]) ).
fof(hyp3,axiom,
a_422 = store(a_420,i3,e_421),
file('theBenchmark.p',hyp3) ).
cnf(c_10,plain,
a_422 = store(a_420,i3,e_421),
inference(clausify,[status(thm)],[hyp3]) ).
cnf(c_11,plain,
store(a_420,i3,e_421) = a_422,
inference(copy,[status(thm)],[c_10]) ).
fof(hyp4,axiom,
a_424 = store(a_422,i3,e_423),
file('theBenchmark.p',hyp4) ).
cnf(c_12,plain,
a_424 = store(a_422,i3,e_423),
inference(clausify,[status(thm)],[hyp4]) ).
cnf(c_13,plain,
store(a_422,i3,e_423) = a_424,
inference(copy,[status(thm)],[c_12]) ).
fof(hyp5,axiom,
a_426 = store(a_424,i2,e_425),
file('theBenchmark.p',hyp5) ).
cnf(c_14,plain,
a_426 = store(a_424,i2,e_425),
inference(clausify,[status(thm)],[hyp5]) ).
cnf(c_15,plain,
store(a_424,i2,e_425) = a_426,
inference(copy,[status(thm)],[c_14]) ).
fof(hyp6,axiom,
a_428 = store(a_426,i2,e_427),
file('theBenchmark.p',hyp6) ).
cnf(c_16,plain,
a_428 = store(a_426,i2,e_427),
inference(clausify,[status(thm)],[hyp6]) ).
cnf(c_17,plain,
store(a_426,i2,e_427) = a_428,
inference(copy,[status(thm)],[c_16]) ).
fof(hyp7,axiom,
a_430 = store(a_428,i0,e_429),
file('theBenchmark.p',hyp7) ).
cnf(c_18,plain,
a_430 = store(a_428,i0,e_429),
inference(clausify,[status(thm)],[hyp7]) ).
cnf(c_19,plain,
store(a_428,i0,e_429) = a_430,
inference(copy,[status(thm)],[c_18]) ).
fof(hyp8,axiom,
a_431 = store(a_418,i3,e_421),
file('theBenchmark.p',hyp8) ).
cnf(c_20,plain,
a_431 = store(a_418,i3,e_421),
inference(clausify,[status(thm)],[hyp8]) ).
cnf(c_21,plain,
store(a_418,i3,e_421) = a_431,
inference(copy,[status(thm)],[c_20]) ).
fof(hyp9,axiom,
a_432 = store(a_431,i0,e_419),
file('theBenchmark.p',hyp9) ).
cnf(c_22,plain,
a_432 = store(a_431,i0,e_419),
inference(clausify,[status(thm)],[hyp9]) ).
cnf(c_23,plain,
store(a_431,i0,e_419) = a_432,
inference(copy,[status(thm)],[c_22]) ).
fof(hyp10,axiom,
a_434 = store(a_432,i3,e_433),
file('theBenchmark.p',hyp10) ).
cnf(c_24,plain,
a_434 = store(a_432,i3,e_433),
inference(clausify,[status(thm)],[hyp10]) ).
cnf(c_25,plain,
store(a_432,i3,e_433) = a_434,
inference(copy,[status(thm)],[c_24]) ).
fof(hyp11,axiom,
a_436 = store(a_434,i2,e_435),
file('theBenchmark.p',hyp11) ).
cnf(c_26,plain,
a_436 = store(a_434,i2,e_435),
inference(clausify,[status(thm)],[hyp11]) ).
cnf(c_27,plain,
store(a_434,i2,e_435) = a_436,
inference(copy,[status(thm)],[c_26]) ).
fof(hyp12,axiom,
a_438 = store(a_436,i0,e_437),
file('theBenchmark.p',hyp12) ).
cnf(c_28,plain,
a_438 = store(a_436,i0,e_437),
inference(clausify,[status(thm)],[hyp12]) ).
cnf(c_29,plain,
store(a_436,i0,e_437) = a_438,
inference(copy,[status(thm)],[c_28]) ).
fof(hyp13,axiom,
a_440 = store(a_438,i2,e_439),
file('theBenchmark.p',hyp13) ).
cnf(c_30,plain,
a_440 = store(a_438,i2,e_439),
inference(clausify,[status(thm)],[hyp13]) ).
cnf(c_31,plain,
store(a_438,i2,e_439) = a_440,
inference(copy,[status(thm)],[c_30]) ).
fof(hyp15,axiom,
e_419 = select(a_418,i3),
file('theBenchmark.p',hyp15) ).
cnf(c_34,plain,
e_419 = select(a_418,i3),
inference(clausify,[status(thm)],[hyp15]) ).
cnf(c_35,plain,
select(a_418,i3) = e_419,
inference(copy,[status(thm)],[c_34]) ).
fof(hyp16,axiom,
e_421 = select(a_418,i0),
file('theBenchmark.p',hyp16) ).
cnf(c_36,plain,
e_421 = select(a_418,i0),
inference(clausify,[status(thm)],[hyp16]) ).
cnf(c_37,plain,
select(a_418,i0) = e_421,
inference(copy,[status(thm)],[c_36]) ).
fof(hyp17,axiom,
e_423 = select(a_422,i2),
file('theBenchmark.p',hyp17) ).
cnf(c_38,plain,
e_423 = select(a_422,i2),
inference(clausify,[status(thm)],[hyp17]) ).
cnf(c_39,plain,
select(a_422,i2) = e_423,
inference(copy,[status(thm)],[c_38]) ).
fof(hyp18,axiom,
e_425 = select(a_422,i3),
file('theBenchmark.p',hyp18) ).
cnf(c_40,plain,
e_425 = select(a_422,i3),
inference(clausify,[status(thm)],[hyp18]) ).
cnf(c_41,plain,
select(a_422,i3) = e_425,
inference(copy,[status(thm)],[c_40]) ).
fof(hyp19,axiom,
e_427 = select(a_426,i0),
file('theBenchmark.p',hyp19) ).
cnf(c_42,plain,
e_427 = select(a_426,i0),
inference(clausify,[status(thm)],[hyp19]) ).
cnf(c_43,plain,
select(a_426,i0) = e_427,
inference(copy,[status(thm)],[c_42]) ).
fof(hyp20,axiom,
e_429 = select(a_426,i2),
file('theBenchmark.p',hyp20) ).
cnf(c_44,plain,
e_429 = select(a_426,i2),
inference(clausify,[status(thm)],[hyp20]) ).
cnf(c_45,plain,
select(a_426,i2) = e_429,
inference(copy,[status(thm)],[c_44]) ).
fof(hyp21,axiom,
e_433 = select(a_432,i2),
file('theBenchmark.p',hyp21) ).
cnf(c_46,plain,
e_433 = select(a_432,i2),
inference(clausify,[status(thm)],[hyp21]) ).
cnf(c_47,plain,
select(a_432,i2) = e_433,
inference(copy,[status(thm)],[c_46]) ).
fof(hyp22,axiom,
e_435 = select(a_432,i3),
file('theBenchmark.p',hyp22) ).
cnf(c_48,plain,
e_435 = select(a_432,i3),
inference(clausify,[status(thm)],[hyp22]) ).
cnf(c_49,plain,
select(a_432,i3) = e_435,
inference(copy,[status(thm)],[c_48]) ).
fof(hyp23,axiom,
e_437 = select(a_436,i2),
file('theBenchmark.p',hyp23) ).
cnf(c_50,plain,
e_437 = select(a_436,i2),
inference(clausify,[status(thm)],[hyp23]) ).
cnf(c_51,plain,
select(a_436,i2) = e_437,
inference(copy,[status(thm)],[c_50]) ).
fof(hyp24,axiom,
e_439 = select(a_436,i0),
file('theBenchmark.p',hyp24) ).
cnf(c_52,plain,
e_439 = select(a_436,i0),
inference(clausify,[status(thm)],[hyp24]) ).
cnf(c_53,plain,
select(a_436,i0) = e_439,
inference(copy,[status(thm)],[c_52]) ).
fof(goal,axiom,
a_430 != a_440,
file('theBenchmark.p',goal) ).
cnf(c_54,plain,
a_430 != a_440,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_55,plain,
a_440 != a_430,
inference(copy,[status(thm)],[c_54]) ).
cnf(c_192,plain,
select(a_422,i3) = e_421,
inference(paramod,[status(thm)],[c_11,c_1]) ).
cnf(c_61,plain,
e_425 = e_421,
inference(paramod,[status(thm)],[c_41,c_192]) ).
cnf(c_62,plain,
select(a_422,i3) = e_421,
inference(paramod,[status(thm)],[c_61,c_41]) ).
cnf(c_63,plain,
store(a_424,i2,e_421) = a_426,
inference(paramod,[status(thm)],[c_61,c_15]) ).
cnf(c_193,plain,
select(a_436,i2) = e_435,
inference(paramod,[status(thm)],[c_27,c_1]) ).
cnf(c_70,plain,
e_437 = e_435,
inference(paramod,[status(thm)],[c_51,c_193]) ).
cnf(c_72,plain,
store(a_436,i0,e_435) = a_438,
inference(paramod,[status(thm)],[c_70,c_29]) ).
cnf(c_194,plain,
store(store(a_418,A,e_419),i3,select(a_418,A)) = store(store(a_418,i3,select(a_418,A)),A,select(a_418,i3)),
inference(paramod,[status(thm)],[c_35,c_3]) ).
cnf(c_195,plain,
store(store(a_418,A,e_419),i3,select(a_418,A)) = store(store(a_418,i3,select(a_418,A)),A,e_419),
inference(paramod,[status(thm)],[c_35,c_194]) ).
cnf(c_75,plain,
store(store(a_418,i3,select(a_418,A)),A,e_419) = store(store(a_418,A,e_419),i3,select(a_418,A)),
inference(copy,[status(thm)],[c_195]) ).
cnf(c_196,plain,
store(store(a_426,A,e_427),i0,select(a_426,A)) = store(store(a_426,i0,select(a_426,A)),A,select(a_426,i0)),
inference(paramod,[status(thm)],[c_43,c_3]) ).
cnf(c_197,plain,
store(store(a_426,A,e_427),i0,select(a_426,A)) = store(store(a_426,i0,select(a_426,A)),A,e_427),
inference(paramod,[status(thm)],[c_43,c_196]) ).
cnf(c_78,plain,
store(store(a_426,i0,select(a_426,A)),A,e_427) = store(store(a_426,A,e_427),i0,select(a_426,A)),
inference(copy,[status(thm)],[c_197]) ).
cnf(c_198,plain,
select(a_426,i2) = e_421,
inference(paramod,[status(thm)],[c_63,c_1]) ).
cnf(c_122,plain,
e_429 = e_421,
inference(paramod,[status(thm)],[c_45,c_198]) ).
cnf(c_128,plain,
select(a_426,i2) = e_421,
inference(paramod,[status(thm)],[c_122,c_45]) ).
cnf(c_129,plain,
store(a_428,i0,e_421) = a_430,
inference(paramod,[status(thm)],[c_122,c_19]) ).
cnf(c_199,plain,
store(store(a_418,i3,select(a_418,i0)),i0,e_419) = store(a_420,i3,select(a_418,i0)),
inference(paramod,[status(thm)],[c_9,c_75]) ).
cnf(c_200,plain,
store(store(a_418,i3,e_421),i0,e_419) = store(a_420,i3,select(a_418,i0)),
inference(paramod,[status(thm)],[c_37,c_199]) ).
cnf(c_201,plain,
store(a_431,i0,e_419) = store(a_420,i3,select(a_418,i0)),
inference(paramod,[status(thm)],[c_21,c_200]) ).
cnf(c_202,plain,
a_432 = store(a_420,i3,select(a_418,i0)),
inference(paramod,[status(thm)],[c_23,c_201]) ).
cnf(c_203,plain,
a_432 = store(a_420,i3,e_421),
inference(paramod,[status(thm)],[c_37,c_202]) ).
cnf(c_148,plain,
a_432 = a_422,
inference(paramod,[status(thm)],[c_11,c_203]) ).
cnf(c_204,plain,
select(a_422,i3) = e_435,
inference(paramod,[status(thm)],[c_148,c_49]) ).
cnf(c_205,plain,
e_421 = e_435,
inference(paramod,[status(thm)],[c_62,c_204]) ).
cnf(c_154,plain,
e_435 = e_421,
inference(copy,[status(thm)],[c_205]) ).
cnf(c_206,plain,
select(a_422,i2) = e_433,
inference(paramod,[status(thm)],[c_148,c_47]) ).
cnf(c_207,plain,
e_423 = e_433,
inference(paramod,[status(thm)],[c_39,c_206]) ).
cnf(c_155,plain,
e_433 = e_423,
inference(copy,[status(thm)],[c_207]) ).
cnf(c_208,plain,
store(a_422,i3,e_433) = a_434,
inference(paramod,[status(thm)],[c_148,c_25]) ).
cnf(c_209,plain,
store(a_422,i3,e_423) = a_434,
inference(paramod,[status(thm)],[c_155,c_208]) ).
cnf(c_210,plain,
a_424 = a_434,
inference(paramod,[status(thm)],[c_13,c_209]) ).
cnf(c_156,plain,
a_434 = a_424,
inference(copy,[status(thm)],[c_210]) ).
cnf(c_164,plain,
store(a_436,i0,e_421) = a_438,
inference(paramod,[status(thm)],[c_154,c_72]) ).
cnf(c_211,plain,
store(a_424,i2,e_435) = a_436,
inference(paramod,[status(thm)],[c_156,c_27]) ).
cnf(c_212,plain,
store(a_424,i2,e_421) = a_436,
inference(paramod,[status(thm)],[c_154,c_211]) ).
cnf(c_213,plain,
a_426 = a_436,
inference(paramod,[status(thm)],[c_63,c_212]) ).
cnf(c_167,plain,
a_436 = a_426,
inference(copy,[status(thm)],[c_213]) ).
cnf(c_168,plain,
store(a_426,i0,e_421) = a_438,
inference(paramod,[status(thm)],[c_167,c_164]) ).
cnf(c_214,plain,
select(a_426,i0) = e_439,
inference(paramod,[status(thm)],[c_167,c_53]) ).
cnf(c_215,plain,
e_427 = e_439,
inference(paramod,[status(thm)],[c_43,c_214]) ).
cnf(c_171,plain,
e_439 = e_427,
inference(copy,[status(thm)],[c_215]) ).
cnf(c_175,plain,
store(a_438,i2,e_427) = a_440,
inference(paramod,[status(thm)],[c_171,c_31]) ).
cnf(c_216,plain,
store(store(a_426,i0,select(a_426,i2)),i2,e_427) = store(a_428,i0,select(a_426,i2)),
inference(paramod,[status(thm)],[c_17,c_78]) ).
cnf(c_217,plain,
store(store(a_426,i0,e_421),i2,e_427) = store(a_428,i0,select(a_426,i2)),
inference(paramod,[status(thm)],[c_128,c_216]) ).
cnf(c_218,plain,
store(a_438,i2,e_427) = store(a_428,i0,select(a_426,i2)),
inference(paramod,[status(thm)],[c_168,c_217]) ).
cnf(c_219,plain,
a_440 = store(a_428,i0,select(a_426,i2)),
inference(paramod,[status(thm)],[c_175,c_218]) ).
cnf(c_220,plain,
a_440 = store(a_428,i0,e_421),
inference(paramod,[status(thm)],[c_128,c_219]) ).
cnf(c_221,plain,
a_440 = a_430,
inference(paramod,[status(thm)],[c_129,c_220]) ).
cnf(c_191,plain,
$false,
inference(resolve,[status(thm)],[c_55,c_221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 14:23:37 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 639063 was started by sandbox on n018,
% 0.09/0.38 % Sat Sep 26 14:23:37 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.45
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45
% 0.09/0.45 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.09/0.45 % Length of proof is 68.
% 0.09/0.45 % Level of proof is 9.
% 0.09/0.45 % Maximum clause weight is 43.000.
% 0.09/0.45 % Given clauses 75.
% 0.09/0.45
% 0.09/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------