TSTP Solution File: LCL441-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL441-1 : 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_sat --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 17:48:20 EDT 2022

% Result   : Unsatisfiable 2.00s 0.65s
% Output   : Refutation 2.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  15 unt;   0 def)
%            Number of atoms       :   47 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   31 (  15   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  11 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1879,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1401,f1875,f1878]) ).

fof(f1878,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f1877]) ).

fof(f1877,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f1876,f1395]) ).

fof(f1395,plain,
    ( ~ c_in(sF1,sF4,sF2)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f1393]) ).

fof(f1393,plain,
    ( spl7_2
  <=> c_in(sF1,sF4,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f1876,plain,
    c_in(sF1,sF4,sF2),
    inference(resolution,[],[f1872,f1727]) ).

fof(f1727,plain,
    c_in(sF1,sF3,sF2),
    inference(superposition,[],[f186,f1381]) ).

fof(f1381,plain,
    c_insert(sF1,c_emptyset,sF2) = sF3,
    introduced(function_definition,[]) ).

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(f1872,plain,
    ! [X0] :
      ( ~ c_in(X0,sF3,sF2)
      | c_in(X0,sF4,sF2) ),
    inference(forward_demodulation,[],[f1871,f1380]) ).

fof(f1380,plain,
    tc_PropLog_Opl(t_a) = sF2,
    introduced(function_definition,[]) ).

fof(f1871,plain,
    ! [X0] :
      ( ~ c_in(X0,sF3,tc_PropLog_Opl(t_a))
      | c_in(X0,sF4,sF2) ),
    inference(forward_demodulation,[],[f1866,f1380]) ).

fof(f1866,plain,
    ! [X0] :
      ( c_in(X0,sF4,tc_PropLog_Opl(t_a))
      | ~ c_in(X0,sF3,tc_PropLog_Opl(t_a)) ),
    inference(superposition,[],[f10,f1382]) ).

fof(f1382,plain,
    sF4 = c_PropLog_Othms(sF3,t_a),
    introduced(function_definition,[]) ).

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(f1875,plain,
    spl7_3,
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1874,plain,
    ( $false
    | spl7_3 ),
    inference(subsumption_resolution,[],[f1873,f1400]) ).

fof(f1400,plain,
    ( ~ c_in(sF0,sF6,sF2)
    | spl7_3 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1398,plain,
    ( spl7_3
  <=> c_in(sF0,sF6,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f1873,plain,
    c_in(sF0,sF6,sF2),
    inference(resolution,[],[f1870,f1728]) ).

fof(f1728,plain,
    c_in(sF0,sF5,sF2),
    inference(superposition,[],[f186,f1383]) ).

fof(f1383,plain,
    sF5 = c_insert(sF0,c_emptyset,sF2),
    introduced(function_definition,[]) ).

fof(f1870,plain,
    ! [X1] :
      ( ~ c_in(X1,sF5,sF2)
      | c_in(X1,sF6,sF2) ),
    inference(forward_demodulation,[],[f1869,f1380]) ).

fof(f1869,plain,
    ! [X1] :
      ( c_in(X1,sF6,sF2)
      | ~ c_in(X1,sF5,tc_PropLog_Opl(t_a)) ),
    inference(forward_demodulation,[],[f1867,f1380]) ).

fof(f1867,plain,
    ! [X1] :
      ( c_in(X1,sF6,tc_PropLog_Opl(t_a))
      | ~ c_in(X1,sF5,tc_PropLog_Opl(t_a)) ),
    inference(superposition,[],[f10,f1384]) ).

fof(f1384,plain,
    sF6 = c_PropLog_Othms(sF5,t_a),
    introduced(function_definition,[]) ).

fof(f1401,plain,
    ( ~ spl7_3
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f1385,f1393,f1398]) ).

fof(f1385,plain,
    ( ~ c_in(sF1,sF4,sF2)
    | ~ c_in(sF0,sF6,sF2) ),
    inference(definition_folding,[],[f1377,f1380,f1384,f1383,f1380,f1378,f1378,f1380,f1382,f1381,f1380,f1379,f1378,f1379,f1378]) ).

fof(f1379,plain,
    sF1 = c_PropLog_Opl_Oop_A_N_62(sF0,c_PropLog_Opl_Ofalse,t_a),
    introduced(function_definition,[]) ).

fof(f1378,plain,
    c_PropLog_Opl_Ovar(v_a,t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f1377,axiom,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL441-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:01:37 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.55  % (12810)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 (2999ds/498Mi)
% 0.21/0.55  % (12802)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 (2999ds/68Mi)
% 0.21/0.56  % (12794)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (12811)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56  % (12789)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56  % (12793)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.56  % (12801)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57  % (12791)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (12815)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.57  % (12790)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.57  % (12787)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.57  % (12806)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57  % (12813)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57  % (12807)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58  % (12792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58  % (12796)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (12803)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.58  % (12814)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 (2999ds/68Mi)
% 0.21/0.58  % (12796)Instruction limit reached!
% 0.21/0.58  % (12796)------------------------------
% 0.21/0.58  % (12796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (12796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (12796)Termination reason: Unknown
% 0.21/0.58  % (12796)Termination phase: shuffling
% 0.21/0.58  
% 0.21/0.58  % (12796)Memory used [KB]: 1791
% 0.21/0.58  % (12796)Time elapsed: 0.003 s
% 0.21/0.58  % (12796)Instructions burned: 2 (million)
% 0.21/0.58  % (12796)------------------------------
% 0.21/0.58  % (12796)------------------------------
% 0.21/0.58  % (12812)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.58  % (12800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.58  % (12804)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58  % (12817)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.58  % (12797)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 (2999ds/51Mi)
% 0.21/0.59  % (12798)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59  % (12799)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59  % (12805)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.59  % (12809)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.59  % (12795)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59  % (12795)Instruction limit reached!
% 0.21/0.59  % (12795)------------------------------
% 0.21/0.59  % (12795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (12795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (12795)Termination reason: Unknown
% 0.21/0.59  % (12795)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (12795)Memory used [KB]: 6652
% 0.21/0.59  % (12795)Time elapsed: 0.005 s
% 0.21/0.59  % (12795)Instructions burned: 7 (million)
% 0.21/0.59  % (12795)------------------------------
% 0.21/0.59  % (12795)------------------------------
% 0.21/0.60  % (12808)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 (2999ds/176Mi)
% 0.21/0.60  % (12816)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.68/0.62  % (12801)First to succeed.
% 1.92/0.64  % (12794)Instruction limit reached!
% 1.92/0.64  % (12794)------------------------------
% 1.92/0.64  % (12794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.64  % (12790)Also succeeded, but the first one will report.
% 2.00/0.65  % (12801)Refutation found. Thanks to Tanya!
% 2.00/0.65  % SZS status Unsatisfiable for theBenchmark
% 2.00/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.65  % (12801)------------------------------
% 2.00/0.65  % (12801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (12801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (12801)Termination reason: Refutation
% 2.00/0.65  
% 2.00/0.65  % (12801)Memory used [KB]: 6908
% 2.00/0.65  % (12801)Time elapsed: 0.175 s
% 2.00/0.65  % (12801)Instructions burned: 38 (million)
% 2.00/0.65  % (12801)------------------------------
% 2.00/0.65  % (12801)------------------------------
% 2.00/0.65  % (12768)Success in time 0.285 s
%------------------------------------------------------------------------------