TSTP Solution File: LCL438-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL438-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 13:42:15 EDT 2024

% Result   : Unsatisfiable 0.16s 0.37s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(subsumption_resolution,[],[f13,f2]) ).

fof(f2,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f13,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(subsumption_resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f12,plain,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

fof(f9,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X3,X2),X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2))
      | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[],[f5,f4]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X3,X4,X2),X2),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Opl_Oop_A_N_62(X0,X4,X2),X2),X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL438-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.35  % Computer : n011.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit   : 300
% 0.11/0.35  % WCLimit    : 300
% 0.11/0.35  % DateTime   : Mon Apr 29 22:38:01 EDT 2024
% 0.11/0.35  % CPUTime    : 
% 0.11/0.36  % (13104)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (13108)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.37  % (13110)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.37  % (13109)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.37  % (13111)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)
% 0.16/0.37  % (13107)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)
% 0.16/0.37  % (13109)First to succeed.
% 0.16/0.37  Detected minimum model sizes of [1,1,1]
% 0.16/0.37  Detected maximum model sizes of [max,1,1]
% 0.16/0.37  TRYING [1]
% 0.16/0.37  TRYING [1,1,1]
% 0.16/0.37  % (13110)Also succeeded, but the first one will report.
% 0.16/0.37  TRYING [2]
% 0.16/0.37  TRYING [2,1,1]
% 0.16/0.37  % (13107)Also succeeded, but the first one will report.
% 0.16/0.37  % (13109)Refutation found. Thanks to Tanya!
% 0.16/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37  % (13109)------------------------------
% 0.16/0.37  % (13109)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.37  % (13109)Termination reason: Refutation
% 0.16/0.37  
% 0.16/0.37  % (13109)Memory used [KB]: 747
% 0.16/0.37  % (13109)Time elapsed: 0.003 s
% 0.16/0.37  % (13109)Instructions burned: 3 (million)
% 0.16/0.37  % (13109)------------------------------
% 0.16/0.37  % (13109)------------------------------
% 0.16/0.37  % (13104)Success in time 0.017 s
%------------------------------------------------------------------------------