TSTP Solution File: CSR040+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR040+2 : TPTP v8.2.0. Released v3.4.0.
% 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 : Mon May 20 19:41:40 EDT 2024

% Result   : Theorem 0.23s 0.42s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   83 (  13 unt;   0 def)
%            Number of atoms       :  153 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  126 (  56   ~;  48   |;   2   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   67 (  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4153,plain,
    $false,
    inference(subsumption_resolution,[],[f4152,f4115]) ).

fof(f4115,plain,
    ~ individual(c_tptpcol_16_62187),
    inference(resolution,[],[f4094,f4092]) ).

fof(f4092,plain,
    fixedordercollection(c_tptpcol_16_62187),
    inference(resolution,[],[f3360,f2707]) ).

fof(f2707,plain,
    firstordercollection(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f475]) ).

fof(f475,axiom,
    firstordercollection(c_tptpcol_16_62187),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_475) ).

fof(f3360,plain,
    ! [X0] :
      ( ~ firstordercollection(X0)
      | fixedordercollection(X0) ),
    inference(cnf_transformation,[],[f2283]) ).

fof(f2283,plain,
    ! [X0] :
      ( fixedordercollection(X0)
      | ~ firstordercollection(X0) ),
    inference(ennf_transformation,[],[f205]) ).

fof(f205,axiom,
    ! [X0] :
      ( firstordercollection(X0)
     => fixedordercollection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_205) ).

fof(f4094,plain,
    ! [X0] :
      ( ~ fixedordercollection(X0)
      | ~ individual(X0) ),
    inference(resolution,[],[f3573,f3181]) ).

fof(f3181,plain,
    ! [X0] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(cnf_transformation,[],[f2104]) ).

fof(f2104,plain,
    ! [X0] :
      ( collection(X0)
      | ~ fixedordercollection(X0) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f151,axiom,
    ! [X0] :
      ( fixedordercollection(X0)
     => collection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_151) ).

fof(f3573,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(cnf_transformation,[],[f2505]) ).

fof(f2505,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(ennf_transformation,[],[f289]) ).

fof(f289,axiom,
    ! [X0] :
      ~ ( individual(X0)
        & collection(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_289) ).

fof(f4152,plain,
    individual(c_tptpcol_16_62187),
    inference(resolution,[],[f4150,f4112]) ).

fof(f4112,plain,
    ! [X0] :
      ( ~ tptpcol_2_98304(X0)
      | individual(X0) ),
    inference(resolution,[],[f4090,f3172]) ).

fof(f3172,plain,
    ! [X0] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(cnf_transformation,[],[f2095]) ).

fof(f2095,plain,
    ! [X0] :
      ( tptpcol_1_65536(X0)
      | ~ tptpcol_2_98304(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( tptpcol_2_98304(X0)
     => tptpcol_1_65536(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_50) ).

fof(f4090,plain,
    ! [X0] :
      ( ~ tptpcol_1_65536(X0)
      | individual(X0) ),
    inference(resolution,[],[f3333,f3178]) ).

fof(f3178,plain,
    ! [X0] :
      ( ~ tptpcol_0_0(X0)
      | individual(X0) ),
    inference(cnf_transformation,[],[f2101]) ).

fof(f2101,plain,
    ! [X0] :
      ( individual(X0)
      | ~ tptpcol_0_0(X0) ),
    inference(ennf_transformation,[],[f445]) ).

fof(f445,axiom,
    ! [X0] :
      ( tptpcol_0_0(X0)
     => individual(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_445) ).

fof(f3333,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(cnf_transformation,[],[f2256]) ).

fof(f2256,plain,
    ! [X0] :
      ( tptpcol_0_0(X0)
      | ~ tptpcol_1_65536(X0) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,axiom,
    ! [X0] :
      ( tptpcol_1_65536(X0)
     => tptpcol_0_0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_124) ).

fof(f4150,plain,
    tptpcol_2_98304(c_tptpcol_16_62187),
    inference(resolution,[],[f4148,f3305]) ).

fof(f3305,plain,
    ! [X0] :
      ( ~ tptpcol_3_98305(X0)
      | tptpcol_2_98304(X0) ),
    inference(cnf_transformation,[],[f2228]) ).

fof(f2228,plain,
    ! [X0] :
      ( tptpcol_2_98304(X0)
      | ~ tptpcol_3_98305(X0) ),
    inference(ennf_transformation,[],[f234]) ).

fof(f234,axiom,
    ! [X0] :
      ( tptpcol_3_98305(X0)
     => tptpcol_2_98304(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_234) ).

fof(f4148,plain,
    tptpcol_3_98305(c_tptpcol_16_62187),
    inference(resolution,[],[f4147,f3316]) ).

fof(f3316,plain,
    ! [X0] :
      ( ~ tptpcol_4_106497(X0)
      | tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[],[f2239]) ).

fof(f2239,plain,
    ! [X0] :
      ( tptpcol_3_98305(X0)
      | ~ tptpcol_4_106497(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0] :
      ( tptpcol_4_106497(X0)
     => tptpcol_3_98305(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_69) ).

fof(f4147,plain,
    tptpcol_4_106497(c_tptpcol_16_62187),
    inference(resolution,[],[f4142,f4119]) ).

fof(f4119,plain,
    tptpcol_10_109061(c_tptpcol_16_62187),
    inference(resolution,[],[f4098,f4065]) ).

fof(f4065,plain,
    tptpcol_13_109173(c_tptpcol_16_62187),
    inference(resolution,[],[f3095,f4062]) ).

fof(f4062,plain,
    tptpcol_14_109181(c_tptpcol_16_62187),
    inference(resolution,[],[f3079,f2686]) ).

fof(f2686,plain,
    tptpcol_15_109185(c_tptpcol_16_62187),
    inference(cnf_transformation,[],[f1888]) ).

fof(f1888,plain,
    ( tptpcol_15_109185(c_tptpcol_16_62187)
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14)) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
     => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwthedailybulletincompostcardsmar9chtm)),c_translation_14))
   => ~ tptpcol_15_109185(c_tptpcol_16_62187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query90) ).

fof(f3079,plain,
    ! [X0] :
      ( ~ tptpcol_15_109185(X0)
      | tptpcol_14_109181(X0) ),
    inference(cnf_transformation,[],[f2002]) ).

fof(f2002,plain,
    ! [X0] :
      ( tptpcol_14_109181(X0)
      | ~ tptpcol_15_109185(X0) ),
    inference(ennf_transformation,[],[f266]) ).

fof(f266,axiom,
    ! [X0] :
      ( tptpcol_15_109185(X0)
     => tptpcol_14_109181(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_266) ).

fof(f3095,plain,
    ! [X0] :
      ( ~ tptpcol_14_109181(X0)
      | tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f2018]) ).

fof(f2018,plain,
    ! [X0] :
      ( tptpcol_13_109173(X0)
      | ~ tptpcol_14_109181(X0) ),
    inference(ennf_transformation,[],[f251]) ).

fof(f251,axiom,
    ! [X0] :
      ( tptpcol_14_109181(X0)
     => tptpcol_13_109173(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_251) ).

fof(f4098,plain,
    ! [X0] :
      ( ~ tptpcol_13_109173(X0)
      | tptpcol_10_109061(X0) ),
    inference(resolution,[],[f4070,f3078]) ).

fof(f3078,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(cnf_transformation,[],[f2001]) ).

fof(f2001,plain,
    ! [X0] :
      ( tptpcol_12_109157(X0)
      | ~ tptpcol_13_109173(X0) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,axiom,
    ! [X0] :
      ( tptpcol_13_109173(X0)
     => tptpcol_12_109157(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_114) ).

fof(f4070,plain,
    ! [X0] :
      ( ~ tptpcol_12_109157(X0)
      | tptpcol_10_109061(X0) ),
    inference(resolution,[],[f3129,f3124]) ).

fof(f3124,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(cnf_transformation,[],[f2047]) ).

fof(f2047,plain,
    ! [X0] :
      ( tptpcol_11_109125(X0)
      | ~ tptpcol_12_109157(X0) ),
    inference(ennf_transformation,[],[f360]) ).

fof(f360,axiom,
    ! [X0] :
      ( tptpcol_12_109157(X0)
     => tptpcol_11_109125(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_360) ).

fof(f3129,plain,
    ! [X0] :
      ( ~ tptpcol_11_109125(X0)
      | tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f2052]) ).

fof(f2052,plain,
    ! [X0] :
      ( tptpcol_10_109061(X0)
      | ~ tptpcol_11_109125(X0) ),
    inference(ennf_transformation,[],[f343]) ).

fof(f343,axiom,
    ! [X0] :
      ( tptpcol_11_109125(X0)
     => tptpcol_10_109061(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_343) ).

fof(f4142,plain,
    ! [X0] :
      ( ~ tptpcol_10_109061(X0)
      | tptpcol_4_106497(X0) ),
    inference(resolution,[],[f4136,f3108]) ).

fof(f3108,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(cnf_transformation,[],[f2031]) ).

fof(f2031,plain,
    ! [X0] :
      ( tptpcol_9_109060(X0)
      | ~ tptpcol_10_109061(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,axiom,
    ! [X0] :
      ( tptpcol_10_109061(X0)
     => tptpcol_9_109060(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_96) ).

fof(f4136,plain,
    ! [X0] :
      ( ~ tptpcol_9_109060(X0)
      | tptpcol_4_106497(X0) ),
    inference(resolution,[],[f4121,f3163]) ).

fof(f3163,plain,
    ! [X0] :
      ( ~ tptpcol_5_106498(X0)
      | tptpcol_4_106497(X0) ),
    inference(cnf_transformation,[],[f2086]) ).

fof(f2086,plain,
    ! [X0] :
      ( tptpcol_4_106497(X0)
      | ~ tptpcol_5_106498(X0) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,axiom,
    ! [X0] :
      ( tptpcol_5_106498(X0)
     => tptpcol_4_106497(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_117) ).

fof(f4121,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(resolution,[],[f4101,f3102]) ).

fof(f3102,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(cnf_transformation,[],[f2025]) ).

fof(f2025,plain,
    ! [X0] :
      ( tptpcol_8_109059(X0)
      | ~ tptpcol_9_109060(X0) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,axiom,
    ! [X0] :
      ( tptpcol_9_109060(X0)
     => tptpcol_8_109059(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_242) ).

fof(f4101,plain,
    ! [X0] :
      ( ~ tptpcol_8_109059(X0)
      | tptpcol_5_106498(X0) ),
    inference(resolution,[],[f4077,f3089]) ).

fof(f3089,plain,
    ! [X0] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(cnf_transformation,[],[f2012]) ).

fof(f2012,plain,
    ! [X0] :
      ( tptpcol_7_108547(X0)
      | ~ tptpcol_8_109059(X0) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f185,axiom,
    ! [X0] :
      ( tptpcol_8_109059(X0)
     => tptpcol_7_108547(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_185) ).

fof(f4077,plain,
    ! [X0] :
      ( ~ tptpcol_7_108547(X0)
      | tptpcol_5_106498(X0) ),
    inference(resolution,[],[f3153,f3130]) ).

fof(f3130,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(cnf_transformation,[],[f2053]) ).

fof(f2053,plain,
    ! [X0] :
      ( tptpcol_6_108546(X0)
      | ~ tptpcol_7_108547(X0) ),
    inference(ennf_transformation,[],[f341]) ).

fof(f341,axiom,
    ! [X0] :
      ( tptpcol_7_108547(X0)
     => tptpcol_6_108546(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_341) ).

fof(f3153,plain,
    ! [X0] :
      ( ~ tptpcol_6_108546(X0)
      | tptpcol_5_106498(X0) ),
    inference(cnf_transformation,[],[f2076]) ).

fof(f2076,plain,
    ! [X0] :
      ( tptpcol_5_106498(X0)
      | ~ tptpcol_6_108546(X0) ),
    inference(ennf_transformation,[],[f459]) ).

fof(f459,axiom,
    ! [X0] :
      ( tptpcol_6_108546(X0)
     => tptpcol_5_106498(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_459) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : CSR040+2 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37  % Computer : n026.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Sun May 19 01:25:08 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.37  % (11108)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41  % (11112)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.41  % (11114)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.41  % (11110)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.41  % (11109)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.41  % (11115)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.42  % (11111)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.23/0.42  % (11113)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.42  % (11114)First to succeed.
% 0.23/0.42  % (11114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11108"
% 0.23/0.42  % (11114)Refutation found. Thanks to Tanya!
% 0.23/0.42  % SZS status Theorem for theBenchmark
% 0.23/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.42  % (11114)------------------------------
% 0.23/0.42  % (11114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.42  % (11114)Termination reason: Refutation
% 0.23/0.42  
% 0.23/0.42  % (11114)Memory used [KB]: 2308
% 0.23/0.42  % (11114)Time elapsed: 0.011 s
% 0.23/0.42  % (11114)Instructions burned: 36 (million)
% 0.23/0.42  % (11108)Success in time 0.046 s
%------------------------------------------------------------------------------