↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /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 : Thu Sep 24 02:48:26 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.45s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  239 (  92 unt;   0 def)
%            Number of atoms       :  531 ( 530 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  329 (  37   ~; 292   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   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   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,I,E] : select(store(A,I,E),I) = E,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [I,J,A,E] :
      ( select(store(A,I,E),J) = select(A,J)
      | I = J ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,hypothesis,
    a_469 = store(a_467,i0,e_468),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    a_471 = store(a_469,i3,e_470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    a_473 = store(a_471,i3,e_472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    a_475 = store(a_473,i2,e_474),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    a_477 = store(a_475,i2,e_476),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    a_479 = store(a_477,i0,e_478),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    a_480 = store(a_467,i3,e_470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    a_481 = store(a_480,i0,e_468),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    a_483 = store(a_481,i3,e_482),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    a_485 = store(a_483,i2,e_484),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    a_487 = store(a_485,i0,e_486),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    a_489 = store(a_487,i2,e_488),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    e_468 = select(a_467,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    e_470 = select(a_467,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    e_472 = select(a_471,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,hypothesis,
    e_474 = select(a_471,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,hypothesis,
    e_476 = select(a_475,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,hypothesis,
    e_478 = select(a_475,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,hypothesis,
    e_482 = select(a_481,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,hypothesis,
    e_484 = select(a_481,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,hypothesis,
    e_486 = select(a_485,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    e_488 = select(a_485,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    e_491 = select(a_479,i_490),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,hypothesis,
    e_492 = select(a_489,i_490),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    e_491 != e_492,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,plain,
    ! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f33,plain,
    ! [I,J] :
      ( ! [A,E] : select(store(A,I,E),J) = select(A,J)
      | I = J ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f37,plain,
    a_469 = store(a_467,i0,e_468),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f38,plain,
    a_471 = store(a_469,i3,e_470),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f39,plain,
    a_473 = store(a_471,i3,e_472),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f40,plain,
    a_475 = store(a_473,i2,e_474),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f41,plain,
    a_477 = store(a_475,i2,e_476),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f42,plain,
    a_479 = store(a_477,i0,e_478),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f43,plain,
    a_480 = store(a_467,i3,e_470),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f44,plain,
    a_481 = store(a_480,i0,e_468),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f45,plain,
    a_483 = store(a_481,i3,e_482),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f46,plain,
    a_485 = store(a_483,i2,e_484),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f47,plain,
    a_487 = store(a_485,i0,e_486),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f48,plain,
    a_489 = store(a_487,i2,e_488),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f50,plain,
    e_468 = select(a_467,i3),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f51,plain,
    e_470 = select(a_467,i0),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f52,plain,
    e_472 = select(a_471,i2),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f53,plain,
    e_474 = select(a_471,i3),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f54,plain,
    e_476 = select(a_475,i0),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f55,plain,
    e_478 = select(a_475,i2),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f56,plain,
    e_482 = select(a_481,i2),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f57,plain,
    e_484 = select(a_481,i3),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f58,plain,
    e_486 = select(a_485,i2),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f59,plain,
    e_488 = select(a_485,i0),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f60,plain,
    e_491 = select(a_479,i_490),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f61,plain,
    e_492 = select(a_489,i_490),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f63,plain,
    e_491 != e_492,
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f70,plain,
    ! [X0] :
      ( select(a_469,X0) = select(a_467,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f37,f34]) ).

fof(f71,plain,
    select(a_469,i0) = e_468,
    inference(paramodulation,[status(thm)],[f37,f32]) ).

fof(f72,plain,
    ! [X0] :
      ( select(a_471,X0) = select(a_469,X0)
      | i3 = X0 ),
    inference(paramodulation,[status(thm)],[f38,f34]) ).

fof(f73,plain,
    select(a_471,i3) = e_470,
    inference(paramodulation,[status(thm)],[f38,f32]) ).

fof(f74,plain,
    ! [X0] :
      ( select(a_473,X0) = select(a_471,X0)
      | i3 = X0 ),
    inference(paramodulation,[status(thm)],[f39,f34]) ).

fof(f75,plain,
    select(a_473,i3) = e_472,
    inference(paramodulation,[status(thm)],[f39,f32]) ).

fof(f76,plain,
    e_474 = e_470,
    inference(backward_demodulation,[status(thm)],[f73,f53]) ).

fof(f77,plain,
    a_475 = store(a_473,i2,e_470),
    inference(forward_demodulation,[status(thm)],[f76,f40]) ).

fof(f78,plain,
    ! [X0] :
      ( select(a_475,X0) = select(a_473,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f77,f34]) ).

fof(f79,plain,
    select(a_475,i2) = e_470,
    inference(paramodulation,[status(thm)],[f77,f32]) ).

fof(f80,plain,
    e_478 = e_470,
    inference(backward_demodulation,[status(thm)],[f79,f55]) ).

fof(f81,plain,
    ! [X0] :
      ( select(a_477,X0) = select(a_475,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f41,f34]) ).

fof(f82,plain,
    select(a_477,i2) = e_476,
    inference(paramodulation,[status(thm)],[f41,f32]) ).

fof(f83,plain,
    a_479 = store(a_477,i0,e_470),
    inference(forward_demodulation,[status(thm)],[f80,f42]) ).

fof(f84,plain,
    ! [X0] :
      ( select(a_479,X0) = select(a_477,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f83,f34]) ).

fof(f85,plain,
    select(a_479,i0) = e_470,
    inference(paramodulation,[status(thm)],[f83,f32]) ).

fof(f86,plain,
    ! [X0] :
      ( select(a_480,X0) = select(a_467,X0)
      | i3 = X0 ),
    inference(paramodulation,[status(thm)],[f43,f34]) ).

fof(f87,plain,
    select(a_480,i3) = e_470,
    inference(paramodulation,[status(thm)],[f43,f32]) ).

fof(f88,plain,
    ! [X0] :
      ( select(a_481,X0) = select(a_480,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f44,f34]) ).

fof(f89,plain,
    select(a_481,i0) = e_468,
    inference(paramodulation,[status(thm)],[f44,f32]) ).

fof(f90,plain,
    ! [X0] :
      ( select(a_483,X0) = select(a_481,X0)
      | i3 = X0 ),
    inference(paramodulation,[status(thm)],[f45,f34]) ).

fof(f91,plain,
    select(a_483,i3) = e_482,
    inference(paramodulation,[status(thm)],[f45,f32]) ).

fof(f92,plain,
    ! [X0] :
      ( select(a_485,X0) = select(a_483,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f46,f34]) ).

fof(f93,plain,
    select(a_485,i2) = e_484,
    inference(paramodulation,[status(thm)],[f46,f32]) ).

fof(f94,plain,
    e_486 = e_484,
    inference(backward_demodulation,[status(thm)],[f93,f58]) ).

fof(f95,plain,
    a_487 = store(a_485,i0,e_484),
    inference(forward_demodulation,[status(thm)],[f94,f47]) ).

fof(f96,plain,
    ! [X0] :
      ( select(a_487,X0) = select(a_485,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f95,f34]) ).

fof(f97,plain,
    select(a_487,i0) = e_484,
    inference(paramodulation,[status(thm)],[f95,f32]) ).

fof(f98,plain,
    ! [X0] :
      ( select(a_489,X0) = select(a_487,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f48,f34]) ).

fof(f99,plain,
    select(a_489,i2) = e_488,
    inference(paramodulation,[status(thm)],[f48,f32]) ).

fof(f106,plain,
    ( select(a_471,i0) = e_468
    | i3 = i0 ),
    inference(paramodulation,[status(thm)],[f71,f72]) ).

fof(f107,plain,
    ! [X0] :
      ( i0 = X0
      | select(a_471,X0) = select(a_467,X0)
      | i3 = X0 ),
    inference(paramodulation,[status(thm)],[f70,f72]) ).

fof(f112,plain,
    ( select(a_475,i3) = e_472
    | i2 = i3 ),
    inference(paramodulation,[status(thm)],[f75,f78]) ).

fof(f113,plain,
    ! [X0] :
      ( i3 = X0
      | select(a_475,X0) = select(a_471,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f74,f78]) ).

fof(f118,plain,
    ( select(a_479,i2) = e_476
    | i0 = i2 ),
    inference(paramodulation,[status(thm)],[f82,f84]) ).

fof(f119,plain,
    ! [X0] :
      ( i2 = X0
      | select(a_479,X0) = select(a_475,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f81,f84]) ).

fof(f124,plain,
    ( select(a_481,i3) = e_470
    | i0 = i3 ),
    inference(paramodulation,[status(thm)],[f87,f88]) ).

fof(f125,plain,
    ! [X0] :
      ( i3 = X0
      | select(a_481,X0) = select(a_467,X0)
      | i0 = X0 ),
    inference(paramodulation,[status(thm)],[f86,f88]) ).

fof(f128,plain,
    ( e_484 = e_470
    | i0 = i3 ),
    inference(forward_demodulation,[status(thm)],[f57,f124]) ).

fof(f134,plain,
    ( select(a_485,i3) = e_482
    | i2 = i3 ),
    inference(paramodulation,[status(thm)],[f91,f92]) ).

fof(f135,plain,
    ! [X0] :
      ( i3 = X0
      | select(a_485,X0) = select(a_481,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f90,f92]) ).

fof(f140,plain,
    ( select(a_489,i0) = e_484
    | i2 = i0 ),
    inference(paramodulation,[status(thm)],[f97,f98]) ).

fof(f141,plain,
    ! [X0] :
      ( i0 = X0
      | select(a_489,X0) = select(a_485,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f96,f98]) ).

fof(f146,plain,
    ( i0 = i2
    | e_472 = select(a_467,i2)
    | i3 = i2 ),
    inference(paramodulation,[status(thm)],[f52,f107]) ).

fof(f158,plain,
    ( i3 = i0
    | e_476 = select(a_471,i0)
    | i2 = i0 ),
    inference(paramodulation,[status(thm)],[f54,f113]) ).

fof(f164,plain,
    ( i2 = i_490
    | e_491 = select(a_475,i_490)
    | i0 = i_490 ),
    inference(paramodulation,[status(thm)],[f60,f119]) ).

fof(f168,plain,
    ( i3 = i_490
    | i2 = i_490
    | i2 = i_490
    | e_491 = select(a_471,i_490)
    | i0 = i_490 ),
    inference(paramodulation,[status(thm)],[f113,f164]) ).

fof(f170,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_491 = select(a_471,i_490)
    | i0 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f168]) ).

fof(f172,plain,
    ( i0 = i_490
    | i3 = i_490
    | i3 = i_490
    | i2 = i_490
    | e_491 = select(a_467,i_490)
    | i0 = i_490 ),
    inference(paramodulation,[status(thm)],[f107,f170]) ).

fof(f174,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_491 = select(a_467,i_490)
    | i0 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f172]) ).

fof(f178,plain,
    ( i3 = i2
    | e_482 = select(a_467,i2)
    | i0 = i2 ),
    inference(paramodulation,[status(thm)],[f56,f125]) ).

fof(f183,plain,
    ( i3 = i0
    | e_488 = select(a_481,i0)
    | i2 = i0 ),
    inference(paramodulation,[status(thm)],[f59,f135]) ).

fof(f188,plain,
    ( i3 = i0
    | e_488 = e_468
    | i2 = i0 ),
    inference(forward_demodulation,[status(thm)],[f89,f183]) ).

fof(f193,plain,
    ( i0 = i_490
    | e_492 = select(a_485,i_490)
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f61,f141]) ).

fof(f197,plain,
    ( i3 = i0
    | i3 = i0
    | e_476 = e_468
    | i2 = i0 ),
    inference(paramodulation,[status(thm)],[f106,f158]) ).

fof(f201,plain,
    ( i3 = i0
    | e_476 = e_468
    | i2 = i0 ),
    inference(duplicate_literals_removal,[status(thm)],[f197]) ).

fof(f203,plain,
    ( i3 = i_490
    | i2 = i_490
    | i0 = i_490
    | e_492 = select(a_481,i_490)
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f135,f193]) ).

fof(f205,plain,
    ( i3 = i_490
    | i0 = i_490
    | e_492 = select(a_481,i_490)
    | i2 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f203]) ).

fof(f207,plain,
    ( i3 = i_490
    | i0 = i_490
    | i3 = i_490
    | i0 = i_490
    | e_492 = select(a_467,i_490)
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f125,f205]) ).

fof(f209,plain,
    ( i3 = i_490
    | i0 = i_490
    | e_492 = select(a_467,i_490)
    | i2 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f207]) ).

fof(f211,plain,
    ( i3 = i_490
    | i2 = i_490
    | i0 = i_490
    | i3 = i_490
    | i0 = i_490
    | e_492 = e_491
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f174,f209]) ).

fof(f213,plain,
    ( i3 = i_490
    | i0 = i_490
    | e_492 = e_491
    | i2 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f211]) ).

fof(f214,plain,
    ( i3 = i_490
    | i0 = i_490
    | i2 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f213,f63]) ).

fof(f219,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_492 = select(a_489,i0) ),
    inference(paramodulation,[status(thm)],[f214,f61]) ).

fof(f220,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_491 = select(a_479,i0) ),
    inference(paramodulation,[status(thm)],[f214,f60]) ).

fof(f221,plain,
    ( i_490 = i2
    | i0 != i2
    | i3 = i_490 ),
    inference(equality_factoring,[status(thm)],[f214]) ).

fof(f222,plain,
    ( i_490 = i3
    | i0 != i3
    | i2 = i_490 ),
    inference(equality_factoring,[status(thm)],[f214]) ).

fof(f227,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_491 = e_470 ),
    inference(forward_demodulation,[status(thm)],[f85,f220]) ).

fof(f228,plain,
    ( i2 = i0
    | i3 = i_490
    | i2 = i_490
    | e_492 = e_484 ),
    inference(paramodulation,[status(thm)],[f140,f219]) ).

fof(f239,plain,
    ( i0 = i2
    | i3 = i2
    | i3 = i2
    | e_482 = e_472
    | i0 = i2 ),
    inference(paramodulation,[status(thm)],[f146,f178]) ).

fof(f241,plain,
    ( i3 = i2
    | e_482 = e_472
    | i0 = i2 ),
    inference(duplicate_literals_removal,[status(thm)],[f239]) ).

fof(f248,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_492 = e_484 ),
    inference(forward_subsumption_resolution,[status(thm)],[f228,f221]) ).

fof(f249,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_491 != e_484 ),
    inference(paramodulation,[status(thm)],[f248,f63]) ).

fof(f250,plain,
    ( i3 = i_490
    | i2 = i_490
    | i3 = i_490
    | i2 = i_490
    | e_470 != e_484 ),
    inference(paramodulation,[status(thm)],[f227,f249]) ).

fof(f251,plain,
    ( i3 = i_490
    | i2 = i_490
    | e_470 != e_484 ),
    inference(duplicate_literals_removal,[status(thm)],[f250]) ).

fof(f252,plain,
    ( i0 = i3
    | i3 = i_490
    | i2 = i_490 ),
    inference(resolution,[status(thm)],[f251,f128]) ).

fof(f254,plain,
    ( i3 = i_490
    | i2 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f252,f222]) ).

fof(f258,plain,
    ( i2 = i_490
    | i0 = i_490
    | e_492 = select(a_485,i3)
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f254,f193]) ).

fof(f259,plain,
    ( i2 = i_490
    | i2 = i_490
    | e_491 = select(a_475,i3)
    | i0 = i_490 ),
    inference(paramodulation,[status(thm)],[f254,f164]) ).

fof(f260,plain,
    ( i2 = i_490
    | e_492 = select(a_489,i3) ),
    inference(paramodulation,[status(thm)],[f254,f61]) ).

fof(f261,plain,
    ( i2 = i_490
    | e_491 = select(a_479,i3) ),
    inference(paramodulation,[status(thm)],[f254,f60]) ).

fof(f262,plain,
    ( i_490 = i2
    | i3 != i2 ),
    inference(equality_factoring,[status(thm)],[f254]) ).

fof(f263,plain,
    ( i0 = i_490
    | e_492 = select(a_485,i3)
    | i2 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f258]) ).

fof(f264,plain,
    ( i2 = i_490
    | e_491 = select(a_475,i3)
    | i0 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f259]) ).

fof(f266,plain,
    ( i0 = i3
    | i2 = i3
    | i2 = i_490
    | e_492 = select(a_485,i3) ),
    inference(paramodulation,[status(thm)],[f141,f260]) ).

fof(f268,plain,
    ( i0 = i3
    | i2 = i_490
    | e_492 = select(a_485,i3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f266,f262]) ).

fof(f270,plain,
    ( i2 = i3
    | i0 = i3
    | i2 = i_490
    | e_491 = select(a_475,i3) ),
    inference(paramodulation,[status(thm)],[f119,f261]) ).

fof(f272,plain,
    ( i0 = i3
    | i2 = i_490
    | e_491 = select(a_475,i3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f270,f262]) ).

fof(f274,plain,
    ( i2 = i3
    | i0 = i_490
    | e_492 = e_482
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f134,f263]) ).

fof(f278,plain,
    ( i0 = i_490
    | e_492 = e_482
    | i2 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f274,f262]) ).

fof(f280,plain,
    ( i2 = i3
    | i2 = i_490
    | e_491 = e_472
    | i0 = i_490 ),
    inference(paramodulation,[status(thm)],[f112,f264]) ).

fof(f284,plain,
    ( i2 = i_490
    | e_491 = e_472
    | i0 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f280,f262]) ).

fof(f287,plain,
    ( i2 = i3
    | i0 = i3
    | i2 = i_490
    | e_492 = e_482 ),
    inference(paramodulation,[status(thm)],[f134,f268]) ).

fof(f292,plain,
    ( i0 = i3
    | i2 = i_490
    | e_492 = e_482 ),
    inference(forward_subsumption_resolution,[status(thm)],[f287,f262]) ).

fof(f294,plain,
    ( i0 = i_490
    | i2 = i_490
    | e_491 != e_482 ),
    inference(paramodulation,[status(thm)],[f278,f63]) ).

fof(f297,plain,
    ( i0 = i3
    | i2 = i_490
    | e_491 != e_482 ),
    inference(paramodulation,[status(thm)],[f292,f63]) ).

fof(f298,plain,
    ( i2 = i_490
    | i0 = i_490
    | i0 = i_490
    | i2 = i_490
    | e_472 != e_482 ),
    inference(paramodulation,[status(thm)],[f284,f294]) ).

fof(f299,plain,
    ( i0 = i_490
    | i2 = i_490
    | e_472 != e_482 ),
    inference(duplicate_literals_removal,[status(thm)],[f298]) ).

fof(f308,plain,
    ( i3 = i2
    | i0 = i2
    | i0 = i_490
    | i2 = i_490 ),
    inference(resolution,[status(thm)],[f299,f241]) ).

fof(f310,plain,
    ( i0 = i2
    | i0 = i_490
    | i2 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f308,f262]) ).

fof(f313,plain,
    ( i2 = i_490
    | i0 = i2
    | i0 = i3
    | i2 = i_490 ),
    inference(paramodulation,[status(thm)],[f254,f310]) ).

fof(f318,plain,
    ( i0 = i2
    | i2 = i_490
    | e_492 = select(a_489,i0) ),
    inference(paramodulation,[status(thm)],[f310,f61]) ).

fof(f319,plain,
    ( i0 = i2
    | i2 = i_490
    | e_491 = select(a_479,i0) ),
    inference(paramodulation,[status(thm)],[f310,f60]) ).

fof(f321,plain,
    ( i0 = i2
    | i0 = i3
    | i2 = i_490 ),
    inference(duplicate_literals_removal,[status(thm)],[f313]) ).

fof(f328,plain,
    ( i0 = i2
    | i2 = i_490
    | e_491 = e_470 ),
    inference(forward_demodulation,[status(thm)],[f85,f319]) ).

fof(f330,plain,
    ( i2 = i3
    | i0 = i3
    | i2 = i_490
    | e_491 = e_472 ),
    inference(paramodulation,[status(thm)],[f112,f272]) ).

fof(f335,plain,
    ( i0 = i3
    | i2 = i_490
    | e_491 = e_472 ),
    inference(forward_subsumption_resolution,[status(thm)],[f330,f262]) ).

fof(f344,plain,
    ( i0 = i2
    | i0 = i3
    | e_492 = select(a_489,i2) ),
    inference(paramodulation,[status(thm)],[f321,f61]) ).

fof(f345,plain,
    ( i0 = i2
    | i0 = i3
    | e_491 = select(a_479,i2) ),
    inference(paramodulation,[status(thm)],[f321,f60]) ).

fof(f350,plain,
    ( i0 = i2
    | i0 = i3
    | e_492 = e_488 ),
    inference(forward_demodulation,[status(thm)],[f99,f344]) ).

fof(f362,plain,
    ( i0 = i3
    | i2 = i_490
    | i0 = i3
    | i2 = i_490
    | e_472 != e_482 ),
    inference(paramodulation,[status(thm)],[f335,f297]) ).

fof(f367,plain,
    ( i0 = i3
    | i2 = i_490
    | e_472 != e_482 ),
    inference(duplicate_literals_removal,[status(thm)],[f362]) ).

fof(f373,plain,
    ( i0 = i2
    | i0 = i3
    | e_491 != e_488 ),
    inference(paramodulation,[status(thm)],[f350,f63]) ).

fof(f384,plain,
    ( i2 = i0
    | i0 = i2
    | i2 = i_490
    | e_492 = e_484 ),
    inference(paramodulation,[status(thm)],[f140,f318]) ).

fof(f388,plain,
    ( i0 = i2
    | i2 = i_490
    | e_492 = e_484 ),
    inference(duplicate_literals_removal,[status(thm)],[f384]) ).

fof(f396,plain,
    ( i0 = i2
    | i2 = i_490
    | e_491 != e_484 ),
    inference(paramodulation,[status(thm)],[f388,f63]) ).

fof(f404,plain,
    ( i0 = i2
    | i2 = i_490
    | i0 = i2
    | i2 = i_490
    | e_470 != e_484 ),
    inference(paramodulation,[status(thm)],[f328,f396]) ).

fof(f407,plain,
    ( i0 = i2
    | i2 = i_490
    | e_470 != e_484 ),
    inference(duplicate_literals_removal,[status(thm)],[f404]) ).

fof(f412,plain,
    ( i0 = i2
    | i0 = i2
    | i0 = i3
    | e_491 = e_476 ),
    inference(paramodulation,[status(thm)],[f118,f345]) ).

fof(f416,plain,
    ( i0 = i2
    | i0 = i3
    | e_491 = e_476 ),
    inference(duplicate_literals_removal,[status(thm)],[f412]) ).

fof(f422,plain,
    ( i0 = i2
    | i0 = i3
    | i0 = i2
    | i0 = i3
    | e_476 != e_488 ),
    inference(paramodulation,[status(thm)],[f416,f373]) ).

fof(f431,plain,
    ( i0 = i2
    | i0 = i3
    | e_476 != e_488 ),
    inference(duplicate_literals_removal,[status(thm)],[f422]) ).

fof(f435,plain,
    ( i3 = i0
    | i2 = i0
    | i0 = i2
    | i0 = i3
    | e_476 != e_468 ),
    inference(paramodulation,[status(thm)],[f188,f431]) ).

fof(f436,plain,
    ( i0 = i2
    | i0 = i3
    | e_476 != e_468 ),
    inference(duplicate_literals_removal,[status(thm)],[f435]) ).

fof(f437,plain,
    ( i0 = i2
    | i0 = i3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f436,f201]) ).

fof(f447,plain,
    ( i0 = i2
    | select(a_483,i0) = e_482 ),
    inference(paramodulation,[status(thm)],[f437,f91]) ).

fof(f451,plain,
    ( i0 = i2
    | select(a_473,i0) = e_472 ),
    inference(paramodulation,[status(thm)],[f437,f75]) ).

fof(f455,plain,
    ( i0 = i2
    | e_484 = select(a_481,i0) ),
    inference(paramodulation,[status(thm)],[f437,f57]) ).

fof(f456,plain,
    ( i0 = i2
    | e_468 = select(a_467,i0) ),
    inference(paramodulation,[status(thm)],[f437,f50]) ).

fof(f465,plain,
    ( i0 = i2
    | e_484 = e_468 ),
    inference(forward_demodulation,[status(thm)],[f89,f455]) ).

fof(f466,plain,
    ( i0 = i2
    | e_468 = e_470 ),
    inference(forward_demodulation,[status(thm)],[f51,f456]) ).

fof(f468,plain,
    ( i0 = i2
    | i0 = i2
    | i2 = i_490
    | e_470 != e_468 ),
    inference(paramodulation,[status(thm)],[f465,f407]) ).

fof(f472,plain,
    ( i0 = i2
    | i2 = i_490
    | e_470 != e_468 ),
    inference(duplicate_literals_removal,[status(thm)],[f468]) ).

fof(f483,plain,
    ( i2 = i0
    | i0 = i2
    | select(a_485,i0) = e_482 ),
    inference(paramodulation,[status(thm)],[f92,f447]) ).

fof(f487,plain,
    ( i2 = i0
    | i0 = i2
    | e_488 = e_482 ),
    inference(forward_demodulation,[status(thm)],[f59,f483]) ).

fof(f488,plain,
    ( i0 = i2
    | e_488 = e_482 ),
    inference(duplicate_literals_removal,[status(thm)],[f487]) ).

fof(f498,plain,
    ( i2 = i0
    | i0 = i2
    | select(a_475,i0) = e_472 ),
    inference(paramodulation,[status(thm)],[f78,f451]) ).

fof(f502,plain,
    ( i2 = i0
    | i0 = i2
    | e_476 = e_472 ),
    inference(forward_demodulation,[status(thm)],[f54,f498]) ).

fof(f503,plain,
    ( i0 = i2
    | e_476 = e_472 ),
    inference(duplicate_literals_removal,[status(thm)],[f502]) ).

fof(f527,plain,
    ( i0 = i2
    | i2 = i_490 ),
    inference(forward_subsumption_resolution,[status(thm)],[f472,f466]) ).

fof(f533,plain,
    ( i0 = i2
    | e_492 = select(a_489,i2) ),
    inference(paramodulation,[status(thm)],[f527,f61]) ).

fof(f534,plain,
    ( i0 = i2
    | e_491 = select(a_479,i2) ),
    inference(paramodulation,[status(thm)],[f527,f60]) ).

fof(f537,plain,
    ( i0 = i2
    | e_492 = e_488 ),
    inference(forward_demodulation,[status(thm)],[f99,f533]) ).

fof(f542,plain,
    ( i0 = i2
    | e_491 != e_488 ),
    inference(paramodulation,[status(thm)],[f537,f63]) ).

fof(f554,plain,
    ( i0 = i2
    | i0 = i2
    | e_491 = e_476 ),
    inference(paramodulation,[status(thm)],[f118,f534]) ).

fof(f558,plain,
    ( i0 = i2
    | e_491 = e_476 ),
    inference(duplicate_literals_removal,[status(thm)],[f554]) ).

fof(f571,plain,
    ( i0 = i2
    | i0 = i2
    | e_476 != e_488 ),
    inference(paramodulation,[status(thm)],[f558,f542]) ).

fof(f576,plain,
    ( i0 = i2
    | e_476 != e_488 ),
    inference(duplicate_literals_removal,[status(thm)],[f571]) ).

fof(f577,plain,
    ( i0 = i2
    | i0 = i2
    | e_476 != e_482 ),
    inference(paramodulation,[status(thm)],[f488,f576]) ).

fof(f578,plain,
    ( i0 = i2
    | e_476 != e_482 ),
    inference(duplicate_literals_removal,[status(thm)],[f577]) ).

fof(f582,plain,
    ( i3 = i2
    | i0 = i2
    | i0 = i2
    | e_476 != e_472 ),
    inference(paramodulation,[status(thm)],[f241,f578]) ).

fof(f583,plain,
    ( i3 = i2
    | i0 = i2
    | e_476 != e_472 ),
    inference(duplicate_literals_removal,[status(thm)],[f582]) ).

fof(f584,plain,
    ( i3 = i2
    | i0 = i2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f583,f503]) ).

fof(f585,plain,
    ( i0 = i2
    | i0 = i2
    | i0 = i2 ),
    inference(paramodulation,[status(thm)],[f437,f584]) ).

fof(f606,plain,
    i0 = i2,
    inference(duplicate_literals_removal,[status(thm)],[f585]) ).

fof(f643,plain,
    ( i2 = i3
    | i2 = i_490
    | e_472 != e_482 ),
    inference(backward_demodulation,[status(thm)],[f606,f367]) ).

fof(f665,plain,
    ( e_484 = e_470
    | i2 = i3 ),
    inference(backward_demodulation,[status(thm)],[f606,f128]) ).

fof(f669,plain,
    ( select(a_471,i2) = e_468
    | i3 = i0 ),
    inference(backward_demodulation,[status(thm)],[f606,f106]) ).

fof(f673,plain,
    select(a_481,i2) = e_468,
    inference(backward_demodulation,[status(thm)],[f606,f89]) ).

fof(f674,plain,
    select(a_479,i2) = e_470,
    inference(backward_demodulation,[status(thm)],[f606,f85]) ).

fof(f679,plain,
    e_488 = select(a_485,i2),
    inference(backward_demodulation,[status(thm)],[f606,f59]) ).

fof(f681,plain,
    e_470 = select(a_467,i2),
    inference(backward_demodulation,[status(thm)],[f606,f51]) ).

fof(f682,plain,
    ( i2 = i_490
    | e_472 != e_482 ),
    inference(forward_subsumption_resolution,[status(thm)],[f643,f262]) ).

fof(f699,plain,
    ( select(a_471,i2) = e_468
    | i3 = i2 ),
    inference(forward_demodulation,[status(thm)],[f606,f669]) ).

fof(f700,plain,
    ( e_472 = e_468
    | i3 = i2 ),
    inference(forward_demodulation,[status(thm)],[f52,f699]) ).

fof(f701,plain,
    e_488 = e_484,
    inference(forward_demodulation,[status(thm)],[f93,f679]) ).

fof(f703,plain,
    select(a_489,i2) = e_484,
    inference(backward_demodulation,[status(thm)],[f701,f99]) ).

fof(f726,plain,
    e_482 = e_468,
    inference(backward_demodulation,[status(thm)],[f673,f56]) ).

fof(f729,plain,
    ( i2 = i_490
    | e_472 != e_468 ),
    inference(backward_demodulation,[status(thm)],[f726,f682]) ).

fof(f746,plain,
    ( i3 = i2
    | i2 = i_490 ),
    inference(resolution,[status(thm)],[f729,f700]) ).

fof(f748,plain,
    i2 = i_490,
    inference(forward_subsumption_resolution,[status(thm)],[f746,f262]) ).

fof(f778,plain,
    e_492 = select(a_489,i2),
    inference(backward_demodulation,[status(thm)],[f748,f61]) ).

fof(f779,plain,
    e_491 = select(a_479,i2),
    inference(backward_demodulation,[status(thm)],[f748,f60]) ).

fof(f780,plain,
    e_492 = e_484,
    inference(forward_demodulation,[status(thm)],[f703,f778]) ).

fof(f781,plain,
    e_491 = e_470,
    inference(forward_demodulation,[status(thm)],[f674,f779]) ).

fof(f782,plain,
    e_491 != e_484,
    inference(backward_demodulation,[status(thm)],[f780,f63]) ).

fof(f783,plain,
    i2 = i3,
    inference(backward_subsumption_resolution,[status(thm)],[f665,f784]) ).

fof(f784,plain,
    e_470 != e_484,
    inference(forward_demodulation,[status(thm)],[f781,f782]) ).

fof(f800,plain,
    e_484 = select(a_481,i2),
    inference(backward_demodulation,[status(thm)],[f783,f57]) ).

fof(f801,plain,
    e_468 = select(a_467,i2),
    inference(backward_demodulation,[status(thm)],[f783,f50]) ).

fof(f804,plain,
    e_484 = e_468,
    inference(forward_demodulation,[status(thm)],[f673,f800]) ).

fof(f805,plain,
    e_470 != e_468,
    inference(backward_demodulation,[status(thm)],[f804,f784]) ).

fof(f832,plain,
    e_470 = e_468,
    inference(backward_demodulation,[status(thm)],[f801,f681]) ).

fof(f833,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f832,f805]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n017.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 08:58:56 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  % Drodi V4.1.1
% 0.12/0.45  % Refutation found
% 0.12/0.45  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48  % Elapsed time: 0.099210 seconds
% 0.12/0.48  % CPU time: 0.436681 seconds
% 0.12/0.48  % Total memory used: 109.159 MB
% 0.12/0.48  % Net memory used: 108.422 MB
%------------------------------------------------------------------------------