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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 : Tue Sep 29 01:25:31 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.33s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   91 (  59 unt;   2 def)
%            Number of atoms       :  125 (  84 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  29   ~;  32   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  29 con; 0-3 aty)
%            Number of variables   :   13 (   0 sgn  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f3,axiom,
    ! [X2,X0,X1] : store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

fof(f6,axiom,
    a_469 = store(a_467,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f7,axiom,
    a_471 = store(a_469,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f8,axiom,
    a_473 = store(a_471,i3,e_472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f9,axiom,
    a_475 = store(a_473,i2,e_474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f10,axiom,
    a_477 = store(a_475,i2,e_476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f11,axiom,
    a_479 = store(a_477,i0,e_478),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f12,axiom,
    a_480 = store(a_467,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f13,axiom,
    a_481 = store(a_480,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f14,axiom,
    a_483 = store(a_481,i3,e_482),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f15,axiom,
    a_485 = store(a_483,i2,e_484),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f16,axiom,
    a_487 = store(a_485,i0,e_486),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f17,axiom,
    a_489 = store(a_487,i2,e_488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f19,axiom,
    e_468 = select(a_467,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f20,axiom,
    e_470 = select(a_467,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f21,axiom,
    e_472 = select(a_471,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

fof(f22,axiom,
    e_474 = select(a_471,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

fof(f23,axiom,
    e_476 = select(a_475,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f24,axiom,
    e_478 = select(a_475,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f25,axiom,
    e_482 = select(a_481,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

fof(f26,axiom,
    e_484 = select(a_481,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

fof(f27,axiom,
    e_486 = select(a_485,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

fof(f28,axiom,
    e_488 = select(a_485,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

fof(f29,axiom,
    e_491 = select(a_479,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

fof(f30,axiom,
    e_492 = select(a_489,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

fof(f32,negated_conjecture,
    e_491 != e_492,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f37,plain,
    e_468 = select(a_481,i0),
    inference(superposition,[],[f1,f13]) ).

fof(f39,plain,
    e_470 = select(a_480,i3),
    inference(superposition,[],[f1,f12]) ).

fof(f40,plain,
    e_470 = select(a_471,i3),
    inference(superposition,[],[f1,f7]) ).

fof(f43,plain,
    e_474 = select(a_475,i2),
    inference(superposition,[],[f1,f9]) ).

fof(f45,plain,
    e_484 = select(a_485,i2),
    inference(superposition,[],[f1,f15]) ).

fof(f51,plain,
    ! [X0] :
      ( select(a_480,X0) = select(a_481,X0)
      | i0 = X0 ),
    inference(superposition,[],[f2,f13]) ).

fof(f82,plain,
    ! [X0] : store(store(a_467,i3,select(a_467,X0)),X0,e_468) = store(store(a_467,X0,e_468),i3,select(a_467,X0)),
    inference(superposition,[],[f3,f19]) ).

fof(f92,plain,
    ! [X0] : store(store(a_485,i2,select(a_485,X0)),X0,e_486) = store(store(a_485,X0,e_486),i2,select(a_485,X0)),
    inference(superposition,[],[f3,f27]) ).

fof(f110,plain,
    e_470 = e_474,
    inference(superposition,[],[f22,f40]) ).

fof(f113,plain,
    a_475 = store(a_473,i2,e_470),
    inference(superposition,[],[f9,f110]) ).

fof(f119,plain,
    e_474 = e_478,
    inference(superposition,[],[f24,f43]) ).

fof(f124,plain,
    e_470 = e_478,
    inference(forward_demodulation,[],[f119,f110]) ).

fof(f126,plain,
    a_479 = store(a_477,i0,e_470),
    inference(superposition,[],[f11,f124]) ).

fof(f130,plain,
    e_484 = e_486,
    inference(superposition,[],[f27,f45]) ).

fof(f168,plain,
    ( e_470 = select(a_481,i3)
    | i0 = i3 ),
    inference(superposition,[],[f51,f39]) ).

fof(f173,plain,
    ( e_470 = e_484
    | i0 = i3 ),
    inference(forward_demodulation,[],[f168,f26]) ).

fof(f175,definition,
    ( spl0_3
  <=> i0 = i3 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f177,plain,
    ( i0 = i3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f179,definition,
    ( spl0_4
  <=> e_470 = e_484 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f180,plain,
    ( e_470 != e_484
    | spl0_4 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f181,plain,
    ( e_470 = e_484
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f183,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f173,f179,f175]) ).

fof(f188,plain,
    ( e_468 = select(a_467,i0)
    | ~ spl0_3 ),
    inference(superposition,[],[f19,f177]) ).

fof(f190,plain,
    ( e_484 = select(a_481,i0)
    | ~ spl0_3 ),
    inference(superposition,[],[f26,f177]) ).

fof(f195,plain,
    ( e_468 = e_484
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f190,f37]) ).

fof(f211,plain,
    ( e_468 = e_470
    | ~ spl0_3 ),
    inference(superposition,[],[f20,f188]) ).

fof(f508,plain,
    store(store(a_467,i3,e_470),i0,e_468) = store(store(a_467,i0,e_468),i3,e_470),
    inference(superposition,[],[f82,f20]) ).

fof(f702,plain,
    store(store(a_485,i2,e_488),i0,e_486) = store(store(a_485,i0,e_486),i2,e_488),
    inference(superposition,[],[f92,f28]) ).

fof(f708,plain,
    store(a_487,i2,e_488) = store(store(a_485,i2,e_488),i0,e_486),
    inference(forward_demodulation,[],[f702,f16]) ).

fof(f712,plain,
    store(a_487,i2,e_488) = store(store(a_485,i2,e_488),i0,e_484),
    inference(forward_demodulation,[],[f708,f130]) ).

fof(f714,plain,
    ( store(a_487,i2,e_488) = store(store(a_485,i2,e_488),i0,e_470)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f712,f181]) ).

fof(f715,plain,
    ( a_489 = store(store(a_485,i2,e_488),i0,e_470)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f714,f17]) ).

fof(f1269,plain,
    store(a_469,i3,e_470) = store(store(a_467,i3,e_470),i0,e_468),
    inference(forward_demodulation,[],[f508,f6]) ).

fof(f1300,plain,
    store(a_469,i3,e_470) = store(a_480,i0,e_468),
    inference(forward_demodulation,[],[f1269,f12]) ).

fof(f1306,plain,
    store(a_469,i3,e_470) = a_481,
    inference(forward_demodulation,[],[f1300,f13]) ).

fof(f1308,plain,
    a_471 = a_481,
    inference(forward_demodulation,[],[f1306,f7]) ).

fof(f1311,plain,
    e_482 = select(a_471,i2),
    inference(superposition,[],[f25,f1308]) ).

fof(f1318,plain,
    e_472 = e_482,
    inference(forward_demodulation,[],[f1311,f21]) ).

fof(f1331,plain,
    a_483 = store(a_481,i3,e_472),
    inference(superposition,[],[f14,f1318]) ).

fof(f1332,plain,
    store(a_471,i3,e_472) = a_483,
    inference(forward_demodulation,[],[f1331,f1308]) ).

fof(f1334,plain,
    a_473 = a_483,
    inference(forward_demodulation,[],[f1332,f8]) ).

fof(f1358,plain,
    a_485 = store(a_473,i2,e_484),
    inference(superposition,[],[f15,f1334]) ).

fof(f1359,plain,
    ( a_485 = store(a_473,i2,e_470)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1358,f181]) ).

fof(f1362,plain,
    ( a_475 = a_485
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1359,f113]) ).

fof(f1369,plain,
    ( e_488 = select(a_475,i0)
    | ~ spl0_4 ),
    inference(superposition,[],[f28,f1362]) ).

fof(f1378,plain,
    ( e_476 = e_488
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1369,f23]) ).

fof(f1400,plain,
    ( a_489 = store(store(a_485,i2,e_476),i0,e_470)
    | ~ spl0_4 ),
    inference(superposition,[],[f715,f1378]) ).

fof(f1404,plain,
    ( a_489 = store(store(a_475,i2,e_476),i0,e_470)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1400,f1362]) ).

fof(f1405,plain,
    ( a_489 = store(a_477,i0,e_470)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1404,f10]) ).

fof(f1406,plain,
    ( a_479 = a_489
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1405,f126]) ).

fof(f1458,plain,
    ( select(a_479,i_490) = e_492
    | ~ spl0_4 ),
    inference(superposition,[],[f30,f1406]) ).

fof(f1459,plain,
    ( e_491 = e_492
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1458,f29]) ).

fof(f1461,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1459,f32]) ).

fof(f1462,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f1461]) ).

fof(f1463,plain,
    ( e_468 != e_470
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f180,f195]) ).

fof(f1500,plain,
    ( $false
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1463,f211]) ).

fof(f1501,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1500]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f183]) ).

cnf(s11,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f1462]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f1501]) ).

cnf(s13,plain,
    ~ spl0_3,
    inference(rat,[],[s12,s11]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s4,s11,s13]) ).

fof(f1546,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  % Computer : n026.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Mon Sep 28 11:44:31 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.26  Running first-order model finding
% 0.18/0.26  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.33  % (3801843)Will run a generic schedule for satisfiability detection.
% 0.18/0.33  % (3801852)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4026309651:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.33  % (3801849)% WARNING: option uhcvi not known.
% 0.18/0.33  % (3801848)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2840237949_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.33  % (3801849)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2148308239:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.33  % (3801850)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4155788839:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.33  % (3801854)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1179196879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.33  % (3801851)dis+10_1_sil=32000:sp=arity:random_seed=3705964081:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.33  % (3801853)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=450344746:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.33  % TRYING [1]
% 0.18/0.33  % TRYING [2]
% 0.18/0.33  % TRYING [3]
% 0.18/0.33  % TRYING [4]
% 0.18/0.33  % (3801852) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3801843-3801852"...
% 0.18/0.33  % (3801852)...printing done.
% 0.18/0.33  % (3801852)Refutation found. Thanks to Tanya!
% 0.18/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.33  % (3801852)------------------------------
% 0.18/0.33  % (3801852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.33  % (3801852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.33  % (3801852)CaDiCaL version: 2.1.3
% 0.18/0.33  % (3801852)Termination reason: Refutation
% 0.18/0.33  % (3801852)Time elapsed: 0.025 s
% 0.18/0.33  % (3801852)Peak memory usage: 13 MB
% 0.18/0.33  % (3801852)Instructions burned: 81 (million)
% 0.18/0.33  % (3801843)Success in time 0.058 s
% 0.18/0.33  % Vampire exiting
%------------------------------------------------------------------------------