TSTP Solution File: LCL433-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL433-1 : 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 : n032.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 13:42:10 EDT 2024

% Result   : Unsatisfiable 57.99s 8.63s
% Output   : Refutation 57.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  16   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96981,plain,
    $false,
    inference(resolution,[],[f96976,f186]) ).

fof(f186,axiom,
    ! [X21,X1,X9] : c_in(X9,c_insert(X9,X21,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f96976,plain,
    ~ c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f96951,f4391]) ).

fof(f4391,plain,
    c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(resolution,[],[f1370,f1376]) ).

fof(f1376,axiom,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1370,axiom,
    ! [X59,X1,X8,X7] :
      ( ~ c_PropLog_Osat(c_insert(X7,X8,tc_PropLog_Opl(X1)),X59,X1)
      | c_PropLog_Osat(X8,c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

fof(f96951,plain,
    ! [X0] :
      ( ~ c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),t_a)
      | ~ c_in(X0,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f96659,f1378]) ).

fof(f1378,axiom,
    ! [X47] :
      ( c_in(X47,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
      | ~ c_PropLog_Osat(v_F,X47,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f96659,plain,
    ! [X0] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(X0,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f96557,f10]) ).

fof(f10,axiom,
    ! [X1,X8,X7] :
      ( c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,X8,tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f96557,plain,
    ! [X0] :
      ( ~ c_in(X0,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f12198,f1377]) ).

fof(f1377,axiom,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f12198,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
      | ~ c_in(X4,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(X4,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    inference(resolution,[],[f1371,f1373]) ).

fof(f1373,axiom,
    ! [X1,X7,X4,X23] :
      ( c_in(X7,c_PropLog_Othms(c_insert(X4,X23,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,c_PropLog_Othms(X23,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f1371,axiom,
    ! [X59,X1,X8,X7] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL433-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Mon Apr 29 22:59:36 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.31  % (21085)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (21095)WARNING: value z3 for option sas not known
% 0.15/0.33  % (21095)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)
% 0.15/0.33  % (21099)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)
% 0.15/0.33  % (21096)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  % (21094)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (21098)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)
% 0.15/0.34  % (21093)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.34  % (21097)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)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.45  TRYING [3]
% 0.15/0.54  TRYING [1]
% 0.15/0.57  TRYING [2]
% 4.96/1.04  TRYING [4]
% 6.96/1.31  TRYING [3]
% 7.45/1.46  TRYING [1]
% 8.08/1.47  TRYING [2]
% 8.27/1.52  TRYING [3]
% 11.23/1.98  TRYING [4]
% 25.33/3.95  TRYING [5]
% 34.35/5.22  TRYING [5]
% 38.00/5.77  TRYING [4]
% 57.99/8.62  % (21098)First to succeed.
% 57.99/8.63  % (21098)Refutation found. Thanks to Tanya!
% 57.99/8.63  % SZS status Unsatisfiable for theBenchmark
% 57.99/8.63  % SZS output start Proof for theBenchmark
% See solution above
% 57.99/8.63  % (21098)------------------------------
% 57.99/8.63  % (21098)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 57.99/8.63  % (21098)Termination reason: Refutation
% 57.99/8.63  
% 57.99/8.63  % (21098)Memory used [KB]: 95503
% 57.99/8.63  % (21098)Time elapsed: 8.287 s
% 57.99/8.63  % (21098)Instructions burned: 20992 (million)
% 57.99/8.63  % (21098)------------------------------
% 57.99/8.63  % (21098)------------------------------
% 57.99/8.63  % (21085)Success in time 8.199 s
%------------------------------------------------------------------------------