TSTP Solution File: LCL439-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL439-2 : 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 : n002.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 : Sun May  5 07:45:52 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f161,plain,
    $false,
    inference(resolution,[],[f159,f7]) ).

fof(f7,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f159,plain,
    ! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_p,X0,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f155,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
      | c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

fof(f155,plain,
    ! [X0] : c_in(X0,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f113,f9]) ).

fof(f9,plain,
    ! [X2,X0,X1] : c_in(X0,c_PropLog_Othms(c_insert(X0,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X3,X6,X7] : c_in(X6,c_insert(X6,X7,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
      | c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | c_in(X0,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f3,f26]) ).

fof(f26,plain,
    ! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X0,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f4,f6]) ).

fof(f6,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f4,axiom,
    ! [X3,X1,X4,X5] :
      ( ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
      | c_in(X1,c_PropLog_Othms(c_insert(X5,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL439-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 13:36:57 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (8177)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (8180)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (8179)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (8182)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (8184)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (8183)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (8185)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)
% 0.15/0.38  % (8181)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1,1]
% 0.15/0.38  Detected maximum model sizes of [max,1]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  Detected minimum model sizes of [1,1]
% 0.15/0.38  Detected maximum model sizes of [max,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2,1]
% 0.15/0.38  TRYING [3,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (8183)First to succeed.
% 0.15/0.38  % (8183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8177"
% 0.15/0.38  % (8183)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (8183)------------------------------
% 0.15/0.38  % (8183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (8183)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (8183)Memory used [KB]: 840
% 0.15/0.38  % (8183)Time elapsed: 0.007 s
% 0.15/0.38  % (8183)Instructions burned: 9 (million)
% 0.15/0.38  % (8177)Success in time 0.023 s
%------------------------------------------------------------------------------