%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV547-1.004 : 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 : n017.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 09:08:16 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 27
% Syntax : Number of formulae : 132 ( 132 unt; 0 def)
% Number of atoms : 132 ( 131 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 : 31 ( 31 usr; 29 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_469 = store(a_467,i0,e_468),
file('theBenchmark.p',hyp2) ).
cnf(c_8,plain,
a_469 = store(a_467,i0,e_468),
inference(clausify,[status(thm)],[hyp2]) ).
cnf(c_9,plain,
store(a_467,i0,e_468) = a_469,
inference(copy,[status(thm)],[c_8]) ).
fof(hyp3,axiom,
a_471 = store(a_469,i3,e_470),
file('theBenchmark.p',hyp3) ).
cnf(c_10,plain,
a_471 = store(a_469,i3,e_470),
inference(clausify,[status(thm)],[hyp3]) ).
cnf(c_11,plain,
store(a_469,i3,e_470) = a_471,
inference(copy,[status(thm)],[c_10]) ).
fof(hyp4,axiom,
a_473 = store(a_471,i3,e_472),
file('theBenchmark.p',hyp4) ).
cnf(c_12,plain,
a_473 = store(a_471,i3,e_472),
inference(clausify,[status(thm)],[hyp4]) ).
cnf(c_13,plain,
store(a_471,i3,e_472) = a_473,
inference(copy,[status(thm)],[c_12]) ).
fof(hyp5,axiom,
a_475 = store(a_473,i2,e_474),
file('theBenchmark.p',hyp5) ).
cnf(c_14,plain,
a_475 = store(a_473,i2,e_474),
inference(clausify,[status(thm)],[hyp5]) ).
cnf(c_15,plain,
store(a_473,i2,e_474) = a_475,
inference(copy,[status(thm)],[c_14]) ).
fof(hyp6,axiom,
a_477 = store(a_475,i2,e_476),
file('theBenchmark.p',hyp6) ).
cnf(c_16,plain,
a_477 = store(a_475,i2,e_476),
inference(clausify,[status(thm)],[hyp6]) ).
cnf(c_17,plain,
store(a_475,i2,e_476) = a_477,
inference(copy,[status(thm)],[c_16]) ).
fof(hyp7,axiom,
a_479 = store(a_477,i0,e_478),
file('theBenchmark.p',hyp7) ).
cnf(c_18,plain,
a_479 = store(a_477,i0,e_478),
inference(clausify,[status(thm)],[hyp7]) ).
cnf(c_19,plain,
store(a_477,i0,e_478) = a_479,
inference(copy,[status(thm)],[c_18]) ).
fof(hyp8,axiom,
a_480 = store(a_467,i3,e_470),
file('theBenchmark.p',hyp8) ).
cnf(c_20,plain,
a_480 = store(a_467,i3,e_470),
inference(clausify,[status(thm)],[hyp8]) ).
cnf(c_21,plain,
store(a_467,i3,e_470) = a_480,
inference(copy,[status(thm)],[c_20]) ).
fof(hyp9,axiom,
a_481 = store(a_480,i0,e_468),
file('theBenchmark.p',hyp9) ).
cnf(c_22,plain,
a_481 = store(a_480,i0,e_468),
inference(clausify,[status(thm)],[hyp9]) ).
cnf(c_23,plain,
store(a_480,i0,e_468) = a_481,
inference(copy,[status(thm)],[c_22]) ).
fof(hyp10,axiom,
a_483 = store(a_481,i3,e_482),
file('theBenchmark.p',hyp10) ).
cnf(c_24,plain,
a_483 = store(a_481,i3,e_482),
inference(clausify,[status(thm)],[hyp10]) ).
cnf(c_25,plain,
store(a_481,i3,e_482) = a_483,
inference(copy,[status(thm)],[c_24]) ).
fof(hyp11,axiom,
a_485 = store(a_483,i2,e_484),
file('theBenchmark.p',hyp11) ).
cnf(c_26,plain,
a_485 = store(a_483,i2,e_484),
inference(clausify,[status(thm)],[hyp11]) ).
cnf(c_27,plain,
store(a_483,i2,e_484) = a_485,
inference(copy,[status(thm)],[c_26]) ).
fof(hyp12,axiom,
a_487 = store(a_485,i0,e_486),
file('theBenchmark.p',hyp12) ).
cnf(c_28,plain,
a_487 = store(a_485,i0,e_486),
inference(clausify,[status(thm)],[hyp12]) ).
cnf(c_29,plain,
store(a_485,i0,e_486) = a_487,
inference(copy,[status(thm)],[c_28]) ).
fof(hyp13,axiom,
a_489 = store(a_487,i2,e_488),
file('theBenchmark.p',hyp13) ).
cnf(c_30,plain,
a_489 = store(a_487,i2,e_488),
inference(clausify,[status(thm)],[hyp13]) ).
cnf(c_31,plain,
store(a_487,i2,e_488) = a_489,
inference(copy,[status(thm)],[c_30]) ).
fof(hyp15,axiom,
e_468 = select(a_467,i3),
file('theBenchmark.p',hyp15) ).
cnf(c_34,plain,
e_468 = select(a_467,i3),
inference(clausify,[status(thm)],[hyp15]) ).
cnf(c_35,plain,
select(a_467,i3) = e_468,
inference(copy,[status(thm)],[c_34]) ).
fof(hyp16,axiom,
e_470 = select(a_467,i0),
file('theBenchmark.p',hyp16) ).
cnf(c_36,plain,
e_470 = select(a_467,i0),
inference(clausify,[status(thm)],[hyp16]) ).
cnf(c_37,plain,
select(a_467,i0) = e_470,
inference(copy,[status(thm)],[c_36]) ).
fof(hyp17,axiom,
e_472 = select(a_471,i2),
file('theBenchmark.p',hyp17) ).
cnf(c_38,plain,
e_472 = select(a_471,i2),
inference(clausify,[status(thm)],[hyp17]) ).
cnf(c_39,plain,
select(a_471,i2) = e_472,
inference(copy,[status(thm)],[c_38]) ).
fof(hyp18,axiom,
e_474 = select(a_471,i3),
file('theBenchmark.p',hyp18) ).
cnf(c_40,plain,
e_474 = select(a_471,i3),
inference(clausify,[status(thm)],[hyp18]) ).
cnf(c_41,plain,
select(a_471,i3) = e_474,
inference(copy,[status(thm)],[c_40]) ).
fof(hyp19,axiom,
e_476 = select(a_475,i0),
file('theBenchmark.p',hyp19) ).
cnf(c_42,plain,
e_476 = select(a_475,i0),
inference(clausify,[status(thm)],[hyp19]) ).
cnf(c_43,plain,
select(a_475,i0) = e_476,
inference(copy,[status(thm)],[c_42]) ).
fof(hyp20,axiom,
e_478 = select(a_475,i2),
file('theBenchmark.p',hyp20) ).
cnf(c_44,plain,
e_478 = select(a_475,i2),
inference(clausify,[status(thm)],[hyp20]) ).
cnf(c_45,plain,
select(a_475,i2) = e_478,
inference(copy,[status(thm)],[c_44]) ).
fof(hyp21,axiom,
e_482 = select(a_481,i2),
file('theBenchmark.p',hyp21) ).
cnf(c_46,plain,
e_482 = select(a_481,i2),
inference(clausify,[status(thm)],[hyp21]) ).
cnf(c_47,plain,
select(a_481,i2) = e_482,
inference(copy,[status(thm)],[c_46]) ).
fof(hyp22,axiom,
e_484 = select(a_481,i3),
file('theBenchmark.p',hyp22) ).
cnf(c_48,plain,
e_484 = select(a_481,i3),
inference(clausify,[status(thm)],[hyp22]) ).
cnf(c_49,plain,
select(a_481,i3) = e_484,
inference(copy,[status(thm)],[c_48]) ).
fof(hyp23,axiom,
e_486 = select(a_485,i2),
file('theBenchmark.p',hyp23) ).
cnf(c_50,plain,
e_486 = select(a_485,i2),
inference(clausify,[status(thm)],[hyp23]) ).
cnf(c_51,plain,
select(a_485,i2) = e_486,
inference(copy,[status(thm)],[c_50]) ).
fof(hyp24,axiom,
e_488 = select(a_485,i0),
file('theBenchmark.p',hyp24) ).
cnf(c_52,plain,
e_488 = select(a_485,i0),
inference(clausify,[status(thm)],[hyp24]) ).
cnf(c_53,plain,
select(a_485,i0) = e_488,
inference(copy,[status(thm)],[c_52]) ).
fof(hyp25,axiom,
e_491 = select(a_479,i_490),
file('theBenchmark.p',hyp25) ).
cnf(c_54,plain,
e_491 = select(a_479,i_490),
inference(clausify,[status(thm)],[hyp25]) ).
cnf(c_55,plain,
select(a_479,i_490) = e_491,
inference(copy,[status(thm)],[c_54]) ).
fof(hyp26,axiom,
e_492 = select(a_489,i_490),
file('theBenchmark.p',hyp26) ).
cnf(c_56,plain,
e_492 = select(a_489,i_490),
inference(clausify,[status(thm)],[hyp26]) ).
cnf(c_57,plain,
select(a_489,i_490) = e_492,
inference(copy,[status(thm)],[c_56]) ).
fof(goal,axiom,
e_491 != e_492,
file('theBenchmark.p',goal) ).
cnf(c_60,plain,
e_491 != e_492,
inference(clausify,[status(thm)],[goal]) ).
cnf(c_61,plain,
e_492 != e_491,
inference(copy,[status(thm)],[c_60]) ).
cnf(c_212,plain,
select(a_471,i3) = e_470,
inference(paramod,[status(thm)],[c_11,c_1]) ).
cnf(c_67,plain,
e_474 = e_470,
inference(paramod,[status(thm)],[c_41,c_212]) ).
cnf(c_68,plain,
select(a_471,i3) = e_470,
inference(paramod,[status(thm)],[c_67,c_41]) ).
cnf(c_69,plain,
store(a_473,i2,e_470) = a_475,
inference(paramod,[status(thm)],[c_67,c_15]) ).
cnf(c_213,plain,
select(a_485,i2) = e_484,
inference(paramod,[status(thm)],[c_27,c_1]) ).
cnf(c_76,plain,
e_486 = e_484,
inference(paramod,[status(thm)],[c_51,c_213]) ).
cnf(c_78,plain,
store(a_485,i0,e_484) = a_487,
inference(paramod,[status(thm)],[c_76,c_29]) ).
cnf(c_214,plain,
store(store(a_467,A,e_468),i3,select(a_467,A)) = store(store(a_467,i3,select(a_467,A)),A,select(a_467,i3)),
inference(paramod,[status(thm)],[c_35,c_3]) ).
cnf(c_215,plain,
store(store(a_467,A,e_468),i3,select(a_467,A)) = store(store(a_467,i3,select(a_467,A)),A,e_468),
inference(paramod,[status(thm)],[c_35,c_214]) ).
cnf(c_81,plain,
store(store(a_467,i3,select(a_467,A)),A,e_468) = store(store(a_467,A,e_468),i3,select(a_467,A)),
inference(copy,[status(thm)],[c_215]) ).
cnf(c_216,plain,
store(store(a_475,A,e_476),i0,select(a_475,A)) = store(store(a_475,i0,select(a_475,A)),A,select(a_475,i0)),
inference(paramod,[status(thm)],[c_43,c_3]) ).
cnf(c_217,plain,
store(store(a_475,A,e_476),i0,select(a_475,A)) = store(store(a_475,i0,select(a_475,A)),A,e_476),
inference(paramod,[status(thm)],[c_43,c_216]) ).
cnf(c_84,plain,
store(store(a_475,i0,select(a_475,A)),A,e_476) = store(store(a_475,A,e_476),i0,select(a_475,A)),
inference(copy,[status(thm)],[c_217]) ).
cnf(c_218,plain,
select(a_475,i2) = e_470,
inference(paramod,[status(thm)],[c_69,c_1]) ).
cnf(c_132,plain,
e_478 = e_470,
inference(paramod,[status(thm)],[c_45,c_218]) ).
cnf(c_138,plain,
select(a_475,i2) = e_470,
inference(paramod,[status(thm)],[c_132,c_45]) ).
cnf(c_139,plain,
store(a_477,i0,e_470) = a_479,
inference(paramod,[status(thm)],[c_132,c_19]) ).
cnf(c_219,plain,
store(store(a_467,i3,select(a_467,i0)),i0,e_468) = store(a_469,i3,select(a_467,i0)),
inference(paramod,[status(thm)],[c_9,c_81]) ).
cnf(c_220,plain,
store(store(a_467,i3,e_470),i0,e_468) = store(a_469,i3,select(a_467,i0)),
inference(paramod,[status(thm)],[c_37,c_219]) ).
cnf(c_221,plain,
store(a_480,i0,e_468) = store(a_469,i3,select(a_467,i0)),
inference(paramod,[status(thm)],[c_21,c_220]) ).
cnf(c_222,plain,
a_481 = store(a_469,i3,select(a_467,i0)),
inference(paramod,[status(thm)],[c_23,c_221]) ).
cnf(c_223,plain,
a_481 = store(a_469,i3,e_470),
inference(paramod,[status(thm)],[c_37,c_222]) ).
cnf(c_158,plain,
a_481 = a_471,
inference(paramod,[status(thm)],[c_11,c_223]) ).
cnf(c_224,plain,
select(a_471,i3) = e_484,
inference(paramod,[status(thm)],[c_158,c_49]) ).
cnf(c_225,plain,
e_470 = e_484,
inference(paramod,[status(thm)],[c_68,c_224]) ).
cnf(c_164,plain,
e_484 = e_470,
inference(copy,[status(thm)],[c_225]) ).
cnf(c_226,plain,
select(a_471,i2) = e_482,
inference(paramod,[status(thm)],[c_158,c_47]) ).
cnf(c_227,plain,
e_472 = e_482,
inference(paramod,[status(thm)],[c_39,c_226]) ).
cnf(c_165,plain,
e_482 = e_472,
inference(copy,[status(thm)],[c_227]) ).
cnf(c_228,plain,
store(a_471,i3,e_482) = a_483,
inference(paramod,[status(thm)],[c_158,c_25]) ).
cnf(c_229,plain,
store(a_471,i3,e_472) = a_483,
inference(paramod,[status(thm)],[c_165,c_228]) ).
cnf(c_230,plain,
a_473 = a_483,
inference(paramod,[status(thm)],[c_13,c_229]) ).
cnf(c_166,plain,
a_483 = a_473,
inference(copy,[status(thm)],[c_230]) ).
cnf(c_174,plain,
store(a_485,i0,e_470) = a_487,
inference(paramod,[status(thm)],[c_164,c_78]) ).
cnf(c_231,plain,
store(a_473,i2,e_484) = a_485,
inference(paramod,[status(thm)],[c_166,c_27]) ).
cnf(c_232,plain,
store(a_473,i2,e_470) = a_485,
inference(paramod,[status(thm)],[c_164,c_231]) ).
cnf(c_233,plain,
a_475 = a_485,
inference(paramod,[status(thm)],[c_69,c_232]) ).
cnf(c_177,plain,
a_485 = a_475,
inference(copy,[status(thm)],[c_233]) ).
cnf(c_178,plain,
store(a_475,i0,e_470) = a_487,
inference(paramod,[status(thm)],[c_177,c_174]) ).
cnf(c_234,plain,
select(a_475,i0) = e_488,
inference(paramod,[status(thm)],[c_177,c_53]) ).
cnf(c_235,plain,
e_476 = e_488,
inference(paramod,[status(thm)],[c_43,c_234]) ).
cnf(c_181,plain,
e_488 = e_476,
inference(copy,[status(thm)],[c_235]) ).
cnf(c_185,plain,
store(a_487,i2,e_476) = a_489,
inference(paramod,[status(thm)],[c_181,c_31]) ).
cnf(c_236,plain,
store(store(a_475,i0,select(a_475,i2)),i2,e_476) = store(a_477,i0,select(a_475,i2)),
inference(paramod,[status(thm)],[c_17,c_84]) ).
cnf(c_237,plain,
store(store(a_475,i0,e_470),i2,e_476) = store(a_477,i0,select(a_475,i2)),
inference(paramod,[status(thm)],[c_138,c_236]) ).
cnf(c_238,plain,
store(a_487,i2,e_476) = store(a_477,i0,select(a_475,i2)),
inference(paramod,[status(thm)],[c_178,c_237]) ).
cnf(c_239,plain,
a_489 = store(a_477,i0,select(a_475,i2)),
inference(paramod,[status(thm)],[c_185,c_238]) ).
cnf(c_240,plain,
a_489 = store(a_477,i0,e_470),
inference(paramod,[status(thm)],[c_138,c_239]) ).
cnf(c_201,plain,
a_489 = a_479,
inference(paramod,[status(thm)],[c_139,c_240]) ).
cnf(c_241,plain,
select(a_479,i_490) = e_492,
inference(paramod,[status(thm)],[c_201,c_57]) ).
cnf(c_242,plain,
e_491 = e_492,
inference(paramod,[status(thm)],[c_55,c_241]) ).
cnf(c_243,plain,
e_492 = e_491,
inference(copy,[status(thm)],[c_242]) ).
cnf(c_211,plain,
$false,
inference(resolve,[status(thm)],[c_61,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 14:18:03 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42 % Process 928597 was started by sandbox on n017,
% 0.16/0.42 % Sat Sep 26 14:18:03 2026
% 0.16/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.43
% 0.16/0.43 % From the command line: assign(max_seconds, 300).
% 0.16/0.52
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52
% 0.16/0.52 % Proof 1 at 0.03 (+ 0.02) seconds.
% 0.16/0.52 % Length of proof is 73.
% 0.16/0.52 % Level of proof is 10.
% 0.16/0.52 % Maximum clause weight is 43.000.
% 0.16/0.52 % Given clauses 78.
% 0.16/0.52
% 0.16/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------