TSTP Solution File: SWV547-1.007 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV547-1.007 : 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 : n026.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 17:01:54 EDT 2024

% Result   : Unsatisfiable 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  120 ( 120 unt;   0 def)
%            Number of atoms       :  120 ( 119 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :   54 (  54 usr;  52 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1552,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1551]) ).

fof(f1551,plain,
    e_882 != e_882,
    inference(superposition,[],[f55,f1520]) ).

fof(f1520,plain,
    e_882 = e_883,
    inference(forward_demodulation,[],[f1490,f52]) ).

fof(f52,axiom,
    e_882 = select(a_859,i_881),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).

fof(f1490,plain,
    select(a_859,i_881) = e_883,
    inference(backward_demodulation,[],[f53,f1489]) ).

fof(f1489,plain,
    a_859 = a_880,
    inference(forward_demodulation,[],[f1488,f17]) ).

fof(f17,axiom,
    a_859 = store(a_857,i2,e_858),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

fof(f1488,plain,
    store(a_857,i2,e_858) = a_880,
    inference(backward_demodulation,[],[f1462,f1468]) ).

fof(f1468,plain,
    a_857 = a_878,
    inference(forward_demodulation,[],[f1458,f86]) ).

fof(f86,plain,
    a_857 = store(a_855,i5,e_854),
    inference(backward_demodulation,[],[f16,f85]) ).

fof(f85,plain,
    e_854 = e_856,
    inference(backward_demodulation,[],[f41,f68]) ).

fof(f68,plain,
    e_854 = select(a_855,i2),
    inference(superposition,[],[f1,f15]) ).

fof(f15,axiom,
    a_855 = store(a_853,i2,e_854),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

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

fof(f41,axiom,
    e_856 = select(a_855,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).

fof(f16,axiom,
    a_857 = store(a_855,i5,e_856),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f1458,plain,
    a_878 = store(a_855,i5,e_854),
    inference(backward_demodulation,[],[f1417,f1428]) ).

fof(f1428,plain,
    a_855 = a_876,
    inference(forward_demodulation,[],[f1427,f15]) ).

fof(f1427,plain,
    store(a_853,i2,e_854) = a_876,
    inference(backward_demodulation,[],[f1400,f1414]) ).

fof(f1414,plain,
    e_854 = e_875,
    inference(forward_demodulation,[],[f1358,f40]) ).

fof(f40,axiom,
    e_854 = select(a_851,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).

fof(f1358,plain,
    e_875 = select(a_851,i5),
    inference(backward_demodulation,[],[f49,f1355]) ).

fof(f1355,plain,
    a_851 = a_872,
    inference(forward_demodulation,[],[f1351,f13]) ).

fof(f13,axiom,
    a_851 = store(a_850,i1,e_849),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f1351,plain,
    store(a_850,i1,e_849) = a_872,
    inference(backward_demodulation,[],[f1338,f1346]) ).

fof(f1346,plain,
    a_850 = a_871,
    inference(forward_demodulation,[],[f1345,f12]) ).

fof(f12,axiom,
    a_850 = store(a_848,i1,e_849),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f1345,plain,
    store(a_848,i1,e_849) = a_871,
    inference(backward_demodulation,[],[f1312,f1337]) ).

fof(f1337,plain,
    e_849 = e_870,
    inference(forward_demodulation,[],[f1313,f38]) ).

fof(f38,axiom,
    e_849 = select(a_848,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).

fof(f1313,plain,
    e_870 = select(a_848,i1),
    inference(backward_demodulation,[],[f47,f1311]) ).

fof(f1311,plain,
    a_848 = a_869,
    inference(forward_demodulation,[],[f1310,f11]) ).

fof(f11,axiom,
    a_848 = store(a_846,i5,e_847),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f1310,plain,
    store(a_846,i5,e_847) = a_869,
    inference(forward_demodulation,[],[f1309,f1073]) ).

fof(f1073,plain,
    a_869 = store(a_867,i2,e_843),
    inference(backward_demodulation,[],[f23,f1072]) ).

fof(f1072,plain,
    e_843 = e_868,
    inference(forward_demodulation,[],[f1024,f62]) ).

fof(f62,plain,
    e_843 = select(a_844,i5),
    inference(superposition,[],[f1,f9]) ).

fof(f9,axiom,
    a_844 = store(a_842,i5,e_843),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f1024,plain,
    e_868 = select(a_844,i5),
    inference(backward_demodulation,[],[f46,f1021]) ).

fof(f1021,plain,
    a_844 = a_865,
    inference(forward_demodulation,[],[f1020,f9]) ).

fof(f1020,plain,
    store(a_842,i5,e_843) = a_865,
    inference(forward_demodulation,[],[f1019,f870]) ).

fof(f870,plain,
    a_865 = store(a_863,i0,e_841),
    inference(backward_demodulation,[],[f21,f869]) ).

fof(f869,plain,
    e_841 = e_864,
    inference(forward_demodulation,[],[f825,f34]) ).

fof(f34,axiom,
    e_841 = select(a_840,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).

fof(f825,plain,
    e_864 = select(a_840,i5),
    inference(backward_demodulation,[],[f44,f821]) ).

fof(f821,plain,
    a_840 = a_861,
    inference(forward_demodulation,[],[f820,f7]) ).

fof(f7,axiom,
    a_840 = store(a_838,i1,e_839),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f820,plain,
    store(a_838,i1,e_839) = a_861,
    inference(forward_demodulation,[],[f819,f19]) ).

fof(f19,axiom,
    a_861 = store(a_860,i2,e_837),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

fof(f819,plain,
    store(a_838,i1,e_839) = store(a_860,i2,e_837),
    inference(forward_demodulation,[],[f818,f6]) ).

fof(f6,axiom,
    a_838 = store(a_836,i2,e_837),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f818,plain,
    store(a_860,i2,e_837) = store(store(a_836,i2,e_837),i1,e_839),
    inference(forward_demodulation,[],[f815,f18]) ).

fof(f18,axiom,
    a_860 = store(a_836,i1,e_839),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

fof(f815,plain,
    store(store(a_836,i2,e_837),i1,e_839) = store(store(a_836,i1,e_839),i2,e_837),
    inference(superposition,[],[f141,f32]) ).

fof(f32,axiom,
    e_837 = select(a_836,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

fof(f141,plain,
    ! [X0] : store(store(a_836,i2,select(a_836,X0)),X0,e_839) = store(store(a_836,X0,e_839),i2,select(a_836,X0)),
    inference(superposition,[],[f3,f33]) ).

fof(f33,axiom,
    e_839 = select(a_836,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).

fof(f3,axiom,
    ! [X3,X0,X1] : store(store(X0,X1,select(X0,X3)),X3,select(X0,X1)) = store(store(X0,X3,select(X0,X1)),X1,select(X0,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

fof(f44,axiom,
    e_864 = select(a_861,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).

fof(f21,axiom,
    a_865 = store(a_863,i0,e_864),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

fof(f1019,plain,
    store(a_842,i5,e_843) = store(a_863,i0,e_841),
    inference(forward_demodulation,[],[f1018,f868]) ).

fof(f868,plain,
    a_863 = store(a_840,i5,e_843),
    inference(backward_demodulation,[],[f823,f847]) ).

fof(f847,plain,
    e_843 = e_862,
    inference(forward_demodulation,[],[f824,f35]) ).

fof(f35,axiom,
    e_843 = select(a_840,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).

fof(f824,plain,
    e_862 = select(a_840,i0),
    inference(backward_demodulation,[],[f43,f821]) ).

fof(f43,axiom,
    e_862 = select(a_861,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).

fof(f823,plain,
    a_863 = store(a_840,i5,e_862),
    inference(backward_demodulation,[],[f20,f821]) ).

fof(f20,axiom,
    a_863 = store(a_861,i5,e_862),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

fof(f1018,plain,
    store(a_842,i5,e_843) = store(store(a_840,i5,e_843),i0,e_841),
    inference(forward_demodulation,[],[f1015,f8]) ).

fof(f8,axiom,
    a_842 = store(a_840,i0,e_841),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f1015,plain,
    store(store(a_840,i5,e_843),i0,e_841) = store(store(a_840,i0,e_841),i5,e_843),
    inference(superposition,[],[f145,f35]) ).

fof(f145,plain,
    ! [X0] : store(store(a_840,i5,select(a_840,X0)),X0,e_841) = store(store(a_840,X0,e_841),i5,select(a_840,X0)),
    inference(superposition,[],[f3,f34]) ).

fof(f46,axiom,
    e_868 = select(a_865,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).

fof(f23,axiom,
    a_869 = store(a_867,i2,e_868),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

fof(f1309,plain,
    store(a_846,i5,e_847) = store(a_867,i2,e_843),
    inference(forward_demodulation,[],[f1308,f83]) ).

fof(f83,plain,
    a_846 = store(a_844,i2,e_843),
    inference(backward_demodulation,[],[f10,f82]) ).

fof(f82,plain,
    e_843 = e_845,
    inference(backward_demodulation,[],[f36,f62]) ).

fof(f36,axiom,
    e_845 = select(a_844,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).

fof(f10,axiom,
    a_846 = store(a_844,i2,e_845),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f1308,plain,
    store(a_867,i2,e_843) = store(store(a_844,i2,e_843),i5,e_847),
    inference(forward_demodulation,[],[f1304,f1071]) ).

fof(f1071,plain,
    a_867 = store(a_844,i5,e_847),
    inference(backward_demodulation,[],[f1022,f1047]) ).

fof(f1047,plain,
    e_847 = e_866,
    inference(forward_demodulation,[],[f1023,f37]) ).

fof(f37,axiom,
    e_847 = select(a_844,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).

fof(f1023,plain,
    e_866 = select(a_844,i2),
    inference(backward_demodulation,[],[f45,f1021]) ).

fof(f45,axiom,
    e_866 = select(a_865,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).

fof(f1022,plain,
    a_867 = store(a_844,i5,e_866),
    inference(backward_demodulation,[],[f22,f1021]) ).

fof(f22,axiom,
    a_867 = store(a_865,i5,e_866),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

fof(f1304,plain,
    store(store(a_844,i2,e_843),i5,e_847) = store(store(a_844,i5,e_847),i2,e_843),
    inference(superposition,[],[f149,f62]) ).

fof(f149,plain,
    ! [X0] : store(store(a_844,i2,select(a_844,X0)),X0,e_847) = store(store(a_844,X0,e_847),i2,select(a_844,X0)),
    inference(superposition,[],[f3,f37]) ).

fof(f47,axiom,
    e_870 = select(a_869,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).

fof(f1312,plain,
    a_871 = store(a_848,i1,e_870),
    inference(backward_demodulation,[],[f24,f1311]) ).

fof(f24,axiom,
    a_871 = store(a_869,i1,e_870),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

fof(f1338,plain,
    a_872 = store(a_871,i1,e_849),
    inference(backward_demodulation,[],[f25,f1337]) ).

fof(f25,axiom,
    a_872 = store(a_871,i1,e_870),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

fof(f49,axiom,
    e_875 = select(a_872,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).

fof(f1400,plain,
    a_876 = store(a_853,i2,e_875),
    inference(backward_demodulation,[],[f27,f1399]) ).

fof(f1399,plain,
    a_853 = a_874,
    inference(forward_demodulation,[],[f1398,f14]) ).

fof(f14,axiom,
    a_853 = store(a_851,i5,e_852),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f1398,plain,
    store(a_851,i5,e_852) = a_874,
    inference(backward_demodulation,[],[f1356,f1384]) ).

fof(f1384,plain,
    e_852 = e_873,
    inference(forward_demodulation,[],[f1357,f39]) ).

fof(f39,axiom,
    e_852 = select(a_851,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).

fof(f1357,plain,
    e_873 = select(a_851,i2),
    inference(backward_demodulation,[],[f48,f1355]) ).

fof(f48,axiom,
    e_873 = select(a_872,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).

fof(f1356,plain,
    a_874 = store(a_851,i5,e_873),
    inference(backward_demodulation,[],[f26,f1355]) ).

fof(f26,axiom,
    a_874 = store(a_872,i5,e_873),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

fof(f27,axiom,
    a_876 = store(a_874,i2,e_875),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

fof(f1417,plain,
    a_878 = store(a_876,i5,e_854),
    inference(backward_demodulation,[],[f89,f1414]) ).

fof(f89,plain,
    a_878 = store(a_876,i5,e_875),
    inference(backward_demodulation,[],[f28,f88]) ).

fof(f88,plain,
    e_875 = e_877,
    inference(backward_demodulation,[],[f50,f79]) ).

fof(f79,plain,
    e_875 = select(a_876,i2),
    inference(superposition,[],[f1,f27]) ).

fof(f50,axiom,
    e_877 = select(a_876,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).

fof(f28,axiom,
    a_878 = store(a_876,i5,e_877),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

fof(f1462,plain,
    a_880 = store(a_878,i2,e_858),
    inference(backward_demodulation,[],[f29,f1461]) ).

fof(f1461,plain,
    e_858 = e_879,
    inference(forward_demodulation,[],[f1429,f42]) ).

fof(f42,axiom,
    e_858 = select(a_855,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).

fof(f1429,plain,
    e_879 = select(a_855,i5),
    inference(backward_demodulation,[],[f51,f1428]) ).

fof(f51,axiom,
    e_879 = select(a_876,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).

fof(f29,axiom,
    a_880 = store(a_878,i2,e_879),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

fof(f53,axiom,
    e_883 = select(a_880,i_881),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).

fof(f55,axiom,
    e_882 != e_883,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SWV547-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 04:58:49 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.31  % (19956)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (19959)WARNING: value z3 for option sas not known
% 0.16/0.33  % (19960)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33  % (19958)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33  % (19957)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33  % (19959)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)
% 0.16/0.33  % (19963)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)
% 0.16/0.33  % (19961)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)
% 0.16/0.33  % (19962)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)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.34  TRYING [1]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [2]
% 0.16/0.36  TRYING [3]
% 0.16/0.37  TRYING [4]
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [2]
% 0.16/0.38  TRYING [3]
% 0.16/0.40  % (19962)First to succeed.
% 0.16/0.40  % (19962)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40  % (19962)------------------------------
% 0.16/0.40  % (19962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.40  % (19962)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (19962)Memory used [KB]: 1573
% 0.16/0.40  % (19962)Time elapsed: 0.071 s
% 0.16/0.40  % (19962)Instructions burned: 139 (million)
% 0.16/0.40  % (19962)------------------------------
% 0.16/0.40  % (19962)------------------------------
% 0.16/0.40  % (19956)Success in time 0.084 s
%------------------------------------------------------------------------------