TSTP Solution File: SYN216-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n024.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 19:37:13 EDT 2022

% Result   : Unsatisfiable 1.54s 0.58s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   74 (  37   ~;  32   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1626,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1263,f1331,f1483,f1515,f1576,f1623]) ).

fof(f1623,plain,
    ( spl0_33
    | ~ spl0_220
    | ~ spl0_236 ),
    inference(avatar_contradiction_clause,[],[f1622]) ).

fof(f1622,plain,
    ( $false
    | spl0_33
    | ~ spl0_220
    | ~ spl0_236 ),
    inference(subsumption_resolution,[],[f1618,f502]) ).

fof(f502,plain,
    ( ~ l2(a,a)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f500,plain,
    ( spl0_33
  <=> l2(a,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1618,plain,
    ( l2(a,a)
    | ~ spl0_220
    | ~ spl0_236 ),
    inference(resolution,[],[f1606,f38]) ).

fof(f38,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

fof(f1606,plain,
    ( ! [X3,X11,X6] :
        ( ~ m0(X6,X11,X3)
        | l2(X3,X3) )
    | ~ spl0_220
    | ~ spl0_236 ),
    inference(subsumption_resolution,[],[f1262,f1579]) ).

fof(f1579,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_236 ),
    inference(resolution,[],[f1330,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f1330,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_236 ),
    inference(avatar_component_clause,[],[f1329]) ).

fof(f1329,plain,
    ( spl0_236
  <=> ! [X4,X9] :
        ( ~ q0(X9,X4)
        | s1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f1262,plain,
    ( ! [X3,X11,X6] :
        ( ~ s1(X11)
        | ~ m0(X6,X11,X3)
        | l2(X3,X3) )
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f1261,plain,
    ( spl0_220
  <=> ! [X6,X11,X3] :
        ( ~ s1(X11)
        | l2(X3,X3)
        | ~ m0(X6,X11,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f1576,plain,
    ~ spl0_121,
    inference(avatar_contradiction_clause,[],[f1575]) ).

fof(f1575,plain,
    ( $false
    | ~ spl0_121 ),
    inference(subsumption_resolution,[],[f1570,f867]) ).

fof(f867,plain,
    ( ! [X3] : ~ s1(X3)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f866,plain,
    ( spl0_121
  <=> ! [X3] : ~ s1(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1570,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f1515,plain,
    ~ spl0_219,
    inference(avatar_contradiction_clause,[],[f1514]) ).

fof(f1514,plain,
    ( $false
    | ~ spl0_219 ),
    inference(resolution,[],[f14,f1259]) ).

fof(f1259,plain,
    ( ! [X10] : ~ p0(X10,X10)
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f1258]) ).

fof(f1258,plain,
    ( spl0_219
  <=> ! [X10] : ~ p0(X10,X10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f1483,plain,
    ~ spl0_33,
    inference(avatar_split_clause,[],[f369,f500]) ).

fof(f369,axiom,
    ~ l2(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1331,plain,
    ( spl0_121
    | spl0_236 ),
    inference(avatar_split_clause,[],[f164,f1329,f866]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | ~ s1(X5)
      | s1(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f1263,plain,
    ( spl0_219
    | spl0_220 ),
    inference(avatar_split_clause,[],[f171,f1261,f1258]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X11)
      | ~ m0(X6,X11,X3)
      | ~ p0(X10,X10)
      | l2(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:40:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (17296)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (17284)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (17304)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)
% 0.20/0.52  % (17276)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)
% 0.20/0.53  % (17280)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)
% 0.20/0.53  % (17274)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)
% 1.32/0.54  % (17288)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)
% 1.32/0.54  % (17302)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)
% 1.32/0.54  % (17298)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)
% 1.32/0.54  % (17289)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)
% 1.32/0.54  % (17279)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)
% 1.32/0.54  % (17295)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)
% 1.32/0.54  % (17300)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.54  % (17275)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)
% 1.32/0.54  % (17273)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)
% 1.32/0.54  % (17278)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.55  % (17297)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)
% 1.32/0.55  % (17283)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)
% 1.32/0.55  % (17294)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)
% 1.32/0.55  % (17292)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.55  % (17293)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.55  % (17303)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.56  % (17287)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.56  % (17285)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)
% 1.32/0.56  % (17286)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.56  % (17291)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)
% 1.32/0.56  % (17281)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.56  % (17301)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)
% 1.54/0.57  % (17281)Instruction limit reached!
% 1.54/0.57  % (17281)------------------------------
% 1.54/0.57  % (17281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57  % (17281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57  % (17281)Termination reason: Unknown
% 1.54/0.57  % (17281)Termination phase: Saturation
% 1.54/0.57  
% 1.54/0.57  % (17281)Memory used [KB]: 6268
% 1.54/0.57  % (17281)Time elapsed: 0.005 s
% 1.54/0.57  % (17281)Instructions burned: 7 (million)
% 1.54/0.57  % (17281)------------------------------
% 1.54/0.57  % (17281)------------------------------
% 1.54/0.57  % (17295)First to succeed.
% 1.54/0.57  % (17282)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.58  Detected maximum model sizes of [5]
% 1.54/0.58  % (17299)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.54/0.58  % (17295)Refutation found. Thanks to Tanya!
% 1.54/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.58  % (17295)------------------------------
% 1.54/0.58  % (17295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58  % (17295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58  % (17295)Termination reason: Refutation
% 1.54/0.58  
% 1.54/0.58  % (17295)Memory used [KB]: 6652
% 1.54/0.58  % (17295)Time elapsed: 0.152 s
% 1.54/0.58  % (17295)Instructions burned: 21 (million)
% 1.54/0.58  % (17295)------------------------------
% 1.54/0.58  % (17295)------------------------------
% 1.54/0.58  % (17269)Success in time 0.224 s
%------------------------------------------------------------------------------