TSTP Solution File: SWV558-1.007 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 17:02:21 EDT 2024

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  117 ( 117 unt;   0 def)
%            Number of atoms       :  117 ( 116 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    :    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   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f250,plain,
    $false,
    inference(trivial_inequality_removal,[],[f249]) ).

fof(f249,plain,
    a_29 != a_29,
    inference(superposition,[],[f206,f207]) ).

fof(f207,plain,
    a_29 = a1,
    inference(forward_demodulation,[],[f201,f6]) ).

fof(f6,axiom,
    a_29 = store(a1,i1,e_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f201,plain,
    a1 = store(a1,i1,e_28),
    inference(backward_demodulation,[],[f57,f199]) ).

fof(f199,plain,
    e_28 = e_30,
    inference(forward_demodulation,[],[f192,f37]) ).

fof(f37,plain,
    e_28 = select(a_29,i1),
    inference(superposition,[],[f1,f6]) ).

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

fof(f192,plain,
    e_30 = select(a_29,i1),
    inference(backward_demodulation,[],[f38,f189]) ).

fof(f189,plain,
    a_29 = a_31,
    inference(backward_demodulation,[],[f183,f180]) ).

fof(f180,plain,
    a_29 = store(a_29,i2,e_32),
    inference(backward_demodulation,[],[f60,f178]) ).

fof(f178,plain,
    e_32 = e_34,
    inference(forward_demodulation,[],[f171,f39]) ).

fof(f39,plain,
    e_32 = select(a_33,i2),
    inference(superposition,[],[f1,f8]) ).

fof(f8,axiom,
    a_33 = store(a_29,i2,e_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f171,plain,
    e_34 = select(a_33,i2),
    inference(backward_demodulation,[],[f40,f168]) ).

fof(f168,plain,
    a_33 = a_35,
    inference(backward_demodulation,[],[f162,f159]) ).

fof(f159,plain,
    a_33 = store(a_33,i3,e_36),
    inference(backward_demodulation,[],[f64,f157]) ).

fof(f157,plain,
    e_36 = e_38,
    inference(forward_demodulation,[],[f150,f41]) ).

fof(f41,plain,
    e_36 = select(a_37,i3),
    inference(superposition,[],[f1,f10]) ).

fof(f10,axiom,
    a_37 = store(a_33,i3,e_36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f150,plain,
    e_38 = select(a_37,i3),
    inference(backward_demodulation,[],[f42,f147]) ).

fof(f147,plain,
    a_37 = a_39,
    inference(backward_demodulation,[],[f141,f138]) ).

fof(f138,plain,
    a_37 = store(a_37,i4,e_40),
    inference(backward_demodulation,[],[f68,f136]) ).

fof(f136,plain,
    e_40 = e_42,
    inference(forward_demodulation,[],[f129,f43]) ).

fof(f43,plain,
    e_40 = select(a_41,i4),
    inference(superposition,[],[f1,f12]) ).

fof(f12,axiom,
    a_41 = store(a_37,i4,e_40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f129,plain,
    e_42 = select(a_41,i4),
    inference(backward_demodulation,[],[f44,f126]) ).

fof(f126,plain,
    a_41 = a_43,
    inference(backward_demodulation,[],[f120,f117]) ).

fof(f117,plain,
    a_41 = store(a_41,i5,e_44),
    inference(backward_demodulation,[],[f72,f115]) ).

fof(f115,plain,
    e_44 = e_46,
    inference(forward_demodulation,[],[f108,f45]) ).

fof(f45,plain,
    e_44 = select(a_45,i5),
    inference(superposition,[],[f1,f14]) ).

fof(f14,axiom,
    a_45 = store(a_41,i5,e_44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f108,plain,
    e_46 = select(a_45,i5),
    inference(backward_demodulation,[],[f46,f105]) ).

fof(f105,plain,
    a_45 = a_47,
    inference(backward_demodulation,[],[f99,f96]) ).

fof(f96,plain,
    a_45 = store(a_45,i6,e_48),
    inference(backward_demodulation,[],[f76,f94]) ).

fof(f94,plain,
    e_48 = e_50,
    inference(forward_demodulation,[],[f89,f47]) ).

fof(f47,plain,
    e_48 = select(a_49,i6),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    a_49 = store(a_45,i6,e_48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f89,plain,
    e_50 = select(a_49,i6),
    inference(backward_demodulation,[],[f48,f86]) ).

fof(f86,plain,
    a_49 = a_51,
    inference(backward_demodulation,[],[f84,f81]) ).

fof(f81,plain,
    a_49 = store(a_49,i7,e_52),
    inference(superposition,[],[f3,f53]) ).

fof(f53,plain,
    e_52 = select(a_49,i7),
    inference(backward_demodulation,[],[f33,f51]) ).

fof(f51,plain,
    e_52 = e_54,
    inference(forward_demodulation,[],[f50,f49]) ).

fof(f49,plain,
    e_52 = select(a_53,i7),
    inference(superposition,[],[f1,f18]) ).

fof(f18,axiom,
    a_53 = store(a_49,i7,e_52),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f50,plain,
    e_54 = select(a_53,i7),
    inference(superposition,[],[f1,f36]) ).

fof(f36,plain,
    a_53 = store(a_51,i7,e_54),
    inference(forward_demodulation,[],[f19,f34]) ).

fof(f34,axiom,
    a_53 = a_55,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

fof(f19,axiom,
    a_55 = store(a_51,i7,e_54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

fof(f33,axiom,
    e_54 = select(a_49,i7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).

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

fof(f84,plain,
    a_51 = store(a_49,i7,e_52),
    inference(backward_demodulation,[],[f18,f82]) ).

fof(f82,plain,
    a_51 = a_53,
    inference(backward_demodulation,[],[f52,f80]) ).

fof(f80,plain,
    a_51 = store(a_51,i7,e_52),
    inference(superposition,[],[f3,f32]) ).

fof(f32,axiom,
    e_52 = select(a_51,i7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).

fof(f52,plain,
    a_53 = store(a_51,i7,e_52),
    inference(backward_demodulation,[],[f36,f51]) ).

fof(f48,plain,
    e_50 = select(a_51,i6),
    inference(superposition,[],[f1,f17]) ).

fof(f17,axiom,
    a_51 = store(a_47,i6,e_50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

fof(f76,plain,
    a_45 = store(a_45,i6,e_50),
    inference(superposition,[],[f3,f31]) ).

fof(f31,axiom,
    e_50 = select(a_45,i6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

fof(f99,plain,
    a_47 = store(a_45,i6,e_48),
    inference(backward_demodulation,[],[f16,f98]) ).

fof(f98,plain,
    a_47 = a_49,
    inference(forward_demodulation,[],[f95,f77]) ).

fof(f77,plain,
    a_47 = store(a_47,i6,e_48),
    inference(superposition,[],[f3,f30]) ).

fof(f30,axiom,
    e_48 = select(a_47,i6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

fof(f95,plain,
    a_49 = store(a_47,i6,e_48),
    inference(backward_demodulation,[],[f87,f94]) ).

fof(f87,plain,
    a_49 = store(a_47,i6,e_50),
    inference(backward_demodulation,[],[f17,f86]) ).

fof(f46,plain,
    e_46 = select(a_47,i5),
    inference(superposition,[],[f1,f15]) ).

fof(f15,axiom,
    a_47 = store(a_43,i5,e_46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f72,plain,
    a_41 = store(a_41,i5,e_46),
    inference(superposition,[],[f3,f29]) ).

fof(f29,axiom,
    e_46 = select(a_41,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

fof(f120,plain,
    a_43 = store(a_41,i5,e_44),
    inference(backward_demodulation,[],[f14,f119]) ).

fof(f119,plain,
    a_43 = a_45,
    inference(forward_demodulation,[],[f116,f73]) ).

fof(f73,plain,
    a_43 = store(a_43,i5,e_44),
    inference(superposition,[],[f3,f28]) ).

fof(f28,axiom,
    e_44 = select(a_43,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

fof(f116,plain,
    a_45 = store(a_43,i5,e_44),
    inference(backward_demodulation,[],[f106,f115]) ).

fof(f106,plain,
    a_45 = store(a_43,i5,e_46),
    inference(backward_demodulation,[],[f15,f105]) ).

fof(f44,plain,
    e_42 = select(a_43,i4),
    inference(superposition,[],[f1,f13]) ).

fof(f13,axiom,
    a_43 = store(a_39,i4,e_42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f68,plain,
    a_37 = store(a_37,i4,e_42),
    inference(superposition,[],[f3,f27]) ).

fof(f27,axiom,
    e_42 = select(a_37,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

fof(f141,plain,
    a_39 = store(a_37,i4,e_40),
    inference(backward_demodulation,[],[f12,f140]) ).

fof(f140,plain,
    a_39 = a_41,
    inference(forward_demodulation,[],[f137,f69]) ).

fof(f69,plain,
    a_39 = store(a_39,i4,e_40),
    inference(superposition,[],[f3,f26]) ).

fof(f26,axiom,
    e_40 = select(a_39,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

fof(f137,plain,
    a_41 = store(a_39,i4,e_40),
    inference(backward_demodulation,[],[f127,f136]) ).

fof(f127,plain,
    a_41 = store(a_39,i4,e_42),
    inference(backward_demodulation,[],[f13,f126]) ).

fof(f42,plain,
    e_38 = select(a_39,i3),
    inference(superposition,[],[f1,f11]) ).

fof(f11,axiom,
    a_39 = store(a_35,i3,e_38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f64,plain,
    a_33 = store(a_33,i3,e_38),
    inference(superposition,[],[f3,f25]) ).

fof(f25,axiom,
    e_38 = select(a_33,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

fof(f162,plain,
    a_35 = store(a_33,i3,e_36),
    inference(backward_demodulation,[],[f10,f161]) ).

fof(f161,plain,
    a_35 = a_37,
    inference(forward_demodulation,[],[f158,f65]) ).

fof(f65,plain,
    a_35 = store(a_35,i3,e_36),
    inference(superposition,[],[f3,f24]) ).

fof(f24,axiom,
    e_36 = select(a_35,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

fof(f158,plain,
    a_37 = store(a_35,i3,e_36),
    inference(backward_demodulation,[],[f148,f157]) ).

fof(f148,plain,
    a_37 = store(a_35,i3,e_38),
    inference(backward_demodulation,[],[f11,f147]) ).

fof(f40,plain,
    e_34 = select(a_35,i2),
    inference(superposition,[],[f1,f9]) ).

fof(f9,axiom,
    a_35 = store(a_31,i2,e_34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f60,plain,
    a_29 = store(a_29,i2,e_34),
    inference(superposition,[],[f3,f23]) ).

fof(f23,axiom,
    e_34 = select(a_29,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

fof(f183,plain,
    a_31 = store(a_29,i2,e_32),
    inference(backward_demodulation,[],[f8,f182]) ).

fof(f182,plain,
    a_31 = a_33,
    inference(forward_demodulation,[],[f179,f61]) ).

fof(f61,plain,
    a_31 = store(a_31,i2,e_32),
    inference(superposition,[],[f3,f22]) ).

fof(f22,axiom,
    e_32 = select(a_31,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

fof(f179,plain,
    a_33 = store(a_31,i2,e_32),
    inference(backward_demodulation,[],[f169,f178]) ).

fof(f169,plain,
    a_33 = store(a_31,i2,e_34),
    inference(backward_demodulation,[],[f9,f168]) ).

fof(f38,plain,
    e_30 = select(a_31,i1),
    inference(superposition,[],[f1,f7]) ).

fof(f7,axiom,
    a_31 = store(a2,i1,e_30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

fof(f57,plain,
    a1 = store(a1,i1,e_30),
    inference(superposition,[],[f3,f21]) ).

fof(f21,axiom,
    e_30 = select(a1,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

fof(f206,plain,
    a_29 != a1,
    inference(backward_demodulation,[],[f35,f203]) ).

fof(f203,plain,
    a_29 = a2,
    inference(backward_demodulation,[],[f59,f200]) ).

fof(f200,plain,
    a_29 = store(a2,i1,e_28),
    inference(backward_demodulation,[],[f190,f199]) ).

fof(f190,plain,
    a_29 = store(a2,i1,e_30),
    inference(backward_demodulation,[],[f7,f189]) ).

fof(f59,plain,
    a2 = store(a2,i1,e_28),
    inference(superposition,[],[f3,f20]) ).

fof(f20,axiom,
    e_28 = select(a2,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

fof(f35,axiom,
    a1 != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV558-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 05:15:28 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  % (28426)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (28429)WARNING: value z3 for option sas not known
% 0.12/0.36  % (28431)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36  % (28433)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36  % (28430)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (28432)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36  % (28429)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  % (28428)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  % (28427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37  TRYING [3]
% 0.12/0.37  % (28432)First to succeed.
% 0.12/0.37  % (28432)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (28432)------------------------------
% 0.12/0.37  % (28432)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37  % (28432)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (28432)Memory used [KB]: 904
% 0.12/0.37  % (28432)Time elapsed: 0.011 s
% 0.12/0.37  % (28432)Instructions burned: 18 (million)
% 0.12/0.37  % (28432)------------------------------
% 0.12/0.37  % (28432)------------------------------
% 0.12/0.37  % (28426)Success in time 0.025 s
%------------------------------------------------------------------------------