TSTP Solution File: SWW315+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW315+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 May 21 07:21:12 EDT 2024

% Result   : Theorem 36.58s 5.81s
% Output   : Refutation 36.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135959,plain,
    $false,
    inference(resolution,[],[f135934,f16973]) ).

fof(f16973,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    inference(cnf_transformation,[],[f5227]) ).

fof(f5227,axiom,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f135934,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
    inference(resolution,[],[f20876,f55673]) ).

fof(f55673,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_ts_H,v_ts),
    inference(resolution,[],[f55672,f16971]) ).

fof(f16971,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
    inference(cnf_transformation,[],[f5229]) ).

fof(f5229,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

fof(f55672,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(resolution,[],[f22214,f16969]) ).

fof(f16969,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(cnf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(flattening,[],[f5231]) ).

fof(f5231,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(negated_conjecture,[],[f5230]) ).

fof(f5230,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(f22214,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(cnf_transformation,[],[f13166]) ).

fof(f13166,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(flattening,[],[f13165]) ).

fof(f13165,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(ennf_transformation,[],[f8848]) ).

fof(f8848,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
       => c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X7,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X7,X4)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X7)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_cut) ).

fof(f20876,plain,
    ! [X2,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(cnf_transformation,[],[f12391]) ).

fof(f12391,plain,
    ! [X0,X1,X2] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(ennf_transformation,[],[f7968]) ).

fof(f7968,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
     => c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X4),X3))
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_asm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW315+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 19:43:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (17120)Running in auto input_syntax mode. Trying TPTP
% 0.38/0.63  % (17129)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)
% 0.45/0.63  % (17125)WARNING: value z3 for option sas not known
% 0.45/0.63  % (17123)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.45/0.63  % (17126)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.45/0.63  % (17124)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.45/0.63  % (17128)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)
% 0.45/0.63  % (17125)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)
% 0.45/0.64  % (17127)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)
% 36.14/5.79  % (17128)First to succeed.
% 36.14/5.79  % (17128)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17120"
% 36.58/5.81  % (17128)Refutation found. Thanks to Tanya!
% 36.58/5.81  % SZS status Theorem for theBenchmark
% 36.58/5.81  % SZS output start Proof for theBenchmark
% See solution above
% 36.58/5.81  % (17128)------------------------------
% 36.58/5.81  % (17128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 36.58/5.81  % (17128)Termination reason: Refutation
% 36.58/5.81  
% 36.58/5.81  % (17128)Memory used [KB]: 56291
% 36.58/5.81  % (17128)Time elapsed: 5.157 s
% 36.58/5.81  % (17128)Instructions burned: 8969 (million)
% 36.58/5.81  % (17120)Success in time 5.409 s
%------------------------------------------------------------------------------