TSTP Solution File: SYN248-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN248-1 : 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 : n010.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 19:37:17 EDT 2022

% Result   : Unsatisfiable 1.49s 0.57s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  20   ~;  18   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2429,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1120,f1560,f1564,f2426]) ).

fof(f2426,plain,
    ( ~ spl0_157
    | ~ spl0_182 ),
    inference(avatar_contradiction_clause,[],[f2425]) ).

fof(f2425,plain,
    ( $false
    | ~ spl0_157
    | ~ spl0_182 ),
    inference(subsumption_resolution,[],[f2424,f369]) ).

fof(f369,axiom,
    ~ m1(d,c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2424,plain,
    ( m1(d,c,c)
    | ~ spl0_157
    | ~ spl0_182 ),
    inference(resolution,[],[f2417,f1017]) ).

fof(f1017,plain,
    ( k1(c)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1016,plain,
    ( spl0_157
  <=> k1(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2417,plain,
    ( ! [X1] :
        ( ~ k1(X1)
        | m1(d,X1,X1) )
    | ~ spl0_182 ),
    inference(resolution,[],[f1119,f25]) ).

fof(f25,axiom,
    q0(d,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

fof(f1119,plain,
    ( ! [X10,X11] :
        ( ~ q0(X10,X10)
        | m1(X10,X11,X11)
        | ~ k1(X11) )
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1118,plain,
    ( spl0_182
  <=> ! [X11,X10] :
        ( m1(X10,X11,X11)
        | ~ q0(X10,X10)
        | ~ k1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f1564,plain,
    spl0_181,
    inference(avatar_split_clause,[],[f1540,f1114]) ).

fof(f1114,plain,
    ( spl0_181
  <=> k1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1540,plain,
    k1(a),
    inference(resolution,[],[f39,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f1560,plain,
    spl0_157,
    inference(avatar_split_clause,[],[f1536,f1016]) ).

fof(f1536,plain,
    k1(c),
    inference(resolution,[],[f39,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f1120,plain,
    ( ~ spl0_181
    | spl0_182 ),
    inference(avatar_split_clause,[],[f72,f1118,f1114]) ).

fof(f72,axiom,
    ! [X10,X11] :
      ( m1(X10,X11,X11)
      | ~ k1(a)
      | ~ k1(X11)
      | ~ q0(X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_034) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN248-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n010.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 21:31:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (22622)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)
% 0.19/0.50  % (22600)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (22608)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.34/0.53  % (22619)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)
% 1.34/0.53  % (22611)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)
% 1.34/0.53  % (22602)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)
% 1.34/0.53  % (22617)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.34/0.53  % (22598)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)
% 1.34/0.54  % (22596)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)
% 1.34/0.54  % (22599)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)
% 1.34/0.54  % (22609)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.34/0.54  % (22603)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.54  % (22625)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.54  % (22623)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)
% 1.49/0.54  % (22610)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)
% 1.49/0.54  % (22613)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.54  % (22618)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)
% 1.49/0.54  % (22604)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.55  % (22614)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.55  % (22600)First to succeed.
% 1.49/0.55  % (22606)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.55  % (22616)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)
% 1.49/0.55  % (22607)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)
% 1.49/0.55  % (22612)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)
% 1.49/0.55  % (22603)Instruction limit reached!
% 1.49/0.55  % (22603)------------------------------
% 1.49/0.55  % (22603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (22603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (22603)Termination reason: Unknown
% 1.49/0.55  % (22603)Termination phase: Saturation
% 1.49/0.55  
% 1.49/0.55  % (22603)Memory used [KB]: 6268
% 1.49/0.55  % (22603)Time elapsed: 0.009 s
% 1.49/0.55  % (22603)Instructions burned: 8 (million)
% 1.49/0.55  % (22603)------------------------------
% 1.49/0.55  % (22603)------------------------------
% 1.49/0.56  % (22620)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.56  % (22597)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)
% 1.49/0.56  % (22601)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)
% 1.49/0.57  % (22604)Instruction limit reached!
% 1.49/0.57  % (22604)------------------------------
% 1.49/0.57  % (22604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (22604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (22604)Termination reason: Unknown
% 1.49/0.57  % (22604)Termination phase: Blocked clause elimination
% 1.49/0.57  
% 1.49/0.57  % (22604)Memory used [KB]: 1407
% 1.49/0.57  % (22604)Time elapsed: 0.004 s
% 1.49/0.57  % (22604)Instructions burned: 3 (million)
% 1.49/0.57  % (22604)------------------------------
% 1.49/0.57  % (22604)------------------------------
% 1.49/0.57  % (22600)Refutation found. Thanks to Tanya!
% 1.49/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.49/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.57  % (22600)------------------------------
% 1.49/0.57  % (22600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57  % (22600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57  % (22600)Termination reason: Refutation
% 1.49/0.57  
% 1.49/0.57  % (22600)Memory used [KB]: 7036
% 1.49/0.57  % (22600)Time elapsed: 0.145 s
% 1.49/0.57  % (22600)Instructions burned: 37 (million)
% 1.49/0.57  % (22600)------------------------------
% 1.49/0.57  % (22600)------------------------------
% 1.49/0.57  % (22595)Success in time 0.216 s
%------------------------------------------------------------------------------