TSTP Solution File: LCL433-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL433-1 : 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_uns --cores 0 -t %d %s

% Computer : n003.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 17:42:30 EDT 2022

% Result   : Unsatisfiable 0.16s 0.53s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1414,plain,
    $false,
    inference(subsumption_resolution,[],[f1413,f186]) ).

fof(f186,axiom,
    ! [X21,X1,X9] : c_in(X9,c_insert(X9,X21,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f1413,plain,
    ~ c_in(v_x,c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1407,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f1407,plain,
    ~ c_in(v_x,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1396,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1396,plain,
    ! [X0] :
      ( c_in(v_xa,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
      | ~ c_in(v_x,c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f1384,f1371]) ).

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(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

fof(f1384,plain,
    ! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X0,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1381,f1373]) ).

fof(f1373,axiom,
    ! [X1,X7,X4,X23] :
      ( ~ c_in(X7,c_PropLog_Othms(X23,X1),tc_PropLog_Opl(X1))
      | c_in(X7,c_PropLog_Othms(c_insert(X4,X23,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f1381,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1378,f1379]) ).

fof(f1379,plain,
    c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(resolution,[],[f1376,f1370]) ).

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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

fof(f1376,axiom,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1378,axiom,
    ! [X47] :
      ( ~ c_PropLog_Osat(v_F,X47,t_a)
      | c_in(X47,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL433-1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 02:00:52 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.49  % (10335)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.49  % (10337)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.49  % (10350)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.49  % (10334)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (10333)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.50  % (10351)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.50  % (10345)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.16/0.50  % (10342)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.50  % (10341)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.16/0.50  % (10353)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.16/0.50  % (10343)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51  % (10335)Instruction limit reached!
% 0.16/0.51  % (10335)------------------------------
% 0.16/0.51  % (10335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (10335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (10335)Termination reason: Unknown
% 0.16/0.51  % (10335)Termination phase: Equality proxy
% 0.16/0.51  
% 0.16/0.51  % (10335)Memory used [KB]: 2430
% 0.16/0.51  % (10335)Time elapsed: 0.006 s
% 0.16/0.51  % (10335)Instructions burned: 3 (million)
% 0.16/0.51  % (10335)------------------------------
% 0.16/0.51  % (10335)------------------------------
% 0.16/0.51  % (10337)Instruction limit reached!
% 0.16/0.51  % (10337)------------------------------
% 0.16/0.51  % (10337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (10337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (10337)Termination reason: Unknown
% 0.16/0.51  % (10337)Termination phase: shuffling
% 0.16/0.51  
% 0.16/0.51  % (10337)Memory used [KB]: 2302
% 0.16/0.51  % (10337)Time elapsed: 0.006 s
% 0.16/0.51  % (10337)Instructions burned: 6 (million)
% 0.16/0.51  % (10343)Instruction limit reached!
% 0.16/0.51  % (10343)------------------------------
% 0.16/0.51  % (10343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (10343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (10343)Termination reason: Unknown
% 0.16/0.51  % (10343)Termination phase: shuffling
% 0.16/0.51  
% 0.16/0.51  % (10343)Memory used [KB]: 2174
% 0.16/0.51  % (10343)Time elapsed: 0.004 s
% 0.16/0.51  % (10343)Instructions burned: 2 (million)
% 0.16/0.51  % (10343)------------------------------
% 0.16/0.51  % (10343)------------------------------
% 0.16/0.51  % (10349)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.52  % (10337)------------------------------
% 0.16/0.52  % (10337)------------------------------
% 0.16/0.52  % (10342)Instruction limit reached!
% 0.16/0.52  % (10342)------------------------------
% 0.16/0.52  % (10342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (10342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (10342)Termination reason: Unknown
% 0.16/0.52  % (10342)Termination phase: Finite model building preprocessing
% 0.16/0.52  
% 0.16/0.52  % (10342)Memory used [KB]: 2558
% 0.16/0.52  % (10342)Time elapsed: 0.008 s
% 0.16/0.52  % (10342)Instructions burned: 7 (million)
% 0.16/0.52  % (10342)------------------------------
% 0.16/0.52  % (10342)------------------------------
% 0.16/0.52  % (10353)First to succeed.
% 0.16/0.53  % (10353)Refutation found. Thanks to Tanya!
% 0.16/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53  % (10353)------------------------------
% 0.16/0.53  % (10353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (10353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (10353)Termination reason: Refutation
% 0.16/0.53  
% 0.16/0.53  % (10353)Memory used [KB]: 7036
% 0.16/0.53  % (10353)Time elapsed: 0.122 s
% 0.16/0.53  % (10353)Instructions burned: 12 (million)
% 0.16/0.53  % (10353)------------------------------
% 0.16/0.53  % (10353)------------------------------
% 0.16/0.53  % (10326)Success in time 0.207 s
%------------------------------------------------------------------------------