TSTP Solution File: LCL439-2 by SnakeForV-SAT---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n015.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 : Wed Aug 31 17:48:20 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  14   ~;   8   |;   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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(resolution,[],[f39,f5]) ).

fof(f5,axiom,
    ! [X3,X6,X7] : c_in(X6,c_insert(X6,X7,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f39,plain,
    ~ c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f38,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f38,plain,
    ! [X5] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X5,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(X5,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f31,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f31,plain,
    ! [X1] :
      ( ~ c_in(X1,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f14,f4]) ).

fof(f4,axiom,
    ! [X3,X1,X4,X5] :
      ( c_in(X1,c_PropLog_Othms(c_insert(X5,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
      | ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f14,plain,
    ! [X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(X1,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f3,f9]) ).

fof(f9,plain,
    ~ c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
      | ~ 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(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL439-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 02:12:50 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.48  % (30469)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.16/0.48  % (30461)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.16/0.49  % (30471)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.16/0.49  % (30463)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.16/0.49  % (30477)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.16/0.50  % (30460)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.50  % (30458)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.50  % (30458)First to succeed.
% 0.16/0.50  % (30457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.50  % (30455)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.50  % (30471)Also succeeded, but the first one will report.
% 0.16/0.50  % (30458)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (30458)------------------------------
% 0.16/0.50  % (30458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (30458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (30458)Termination reason: Refutation
% 0.16/0.51  
% 0.16/0.51  % (30458)Memory used [KB]: 895
% 0.16/0.51  % (30458)Time elapsed: 0.127 s
% 0.16/0.51  % (30458)Instructions burned: 2 (million)
% 0.16/0.51  % (30458)------------------------------
% 0.16/0.51  % (30458)------------------------------
% 0.16/0.51  % (30448)Success in time 0.179 s
%------------------------------------------------------------------------------