TSTP Solution File: SYN681-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN681-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n026.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 19:28:05 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f331,plain,
    $false,
    inference(subsumption_resolution,[],[f329,f92]) ).

fof(f92,plain,
    ~ p2(sF13,sF14),
    inference(superposition,[],[f90,f72]) ).

fof(f72,plain,
    sF14 = f18(sF13,sF3),
    introduced(function_definition,[]) ).

fof(f90,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF3)),
    inference(definition_folding,[],[f19,f59,f58]) ).

fof(f58,plain,
    f17(c31) = sF2,
    introduced(function_definition,[]) ).

fof(f59,plain,
    sF3 = f9(sF2),
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f329,plain,
    p2(sF13,sF14),
    inference(resolution,[],[f155,f279]) ).

fof(f279,plain,
    p2(sF11,sF13),
    inference(resolution,[],[f235,f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | ~ p2(X5,X33)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).

fof(f235,plain,
    p2(sF13,sF11),
    inference(forward_demodulation,[],[f234,f71]) ).

fof(f71,plain,
    sF13 = f11(sF12,c34),
    introduced(function_definition,[]) ).

fof(f234,plain,
    p2(f11(sF12,c34),sF11),
    inference(subsumption_resolution,[],[f233,f12]) ).

fof(f12,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f233,plain,
    ( p2(f11(sF12,c34),sF11)
    | ~ p25(c36,c33) ),
    inference(subsumption_resolution,[],[f190,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f190,plain,
    ( ~ p25(c32,c36)
    | ~ p25(c36,c33)
    | p2(f11(sF12,c34),sF11) ),
    inference(superposition,[],[f89,f70]) ).

fof(f70,plain,
    f4(c36) = sF12,
    introduced(function_definition,[]) ).

fof(f89,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF11)
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    inference(definition_folding,[],[f50,f68,f67]) ).

fof(f67,plain,
    f4(c32) = sF10,
    introduced(function_definition,[]) ).

fof(f68,plain,
    sF11 = f11(sF10,c34),
    introduced(function_definition,[]) ).

fof(f50,axiom,
    ! [X81] :
      ( ~ p25(X81,c33)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(c32,X81) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).

fof(f155,plain,
    ! [X16] :
      ( ~ p2(sF11,X16)
      | p2(X16,sF14) ),
    inference(resolution,[],[f31,f73]) ).

fof(f73,plain,
    p2(sF11,sF14),
    inference(definition_folding,[],[f40,f72,f59,f58,f71,f70,f68,f67]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYN681-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:29:36 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (386)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.48  % (406)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (386)First to succeed.
% 0.18/0.49  % (402)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)
% 0.18/0.49  % (393)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)
% 0.18/0.49  % (389)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.50  % (390)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50  % (406)Instruction limit reached!
% 0.18/0.50  % (406)------------------------------
% 0.18/0.50  % (406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (406)Termination reason: Unknown
% 0.18/0.50  % (406)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (406)Memory used [KB]: 1407
% 0.18/0.50  % (406)Time elapsed: 0.108 s
% 0.18/0.50  % (406)Instructions burned: 6 (million)
% 0.18/0.50  % (406)------------------------------
% 0.18/0.50  % (406)------------------------------
% 0.18/0.50  % (399)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (399)Instruction limit reached!
% 0.18/0.50  % (399)------------------------------
% 0.18/0.50  % (399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (399)Termination reason: Unknown
% 0.18/0.50  % (399)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (399)Memory used [KB]: 5884
% 0.18/0.50  % (399)Time elapsed: 0.108 s
% 0.18/0.50  % (399)Instructions burned: 4 (million)
% 0.18/0.50  % (399)------------------------------
% 0.18/0.50  % (399)------------------------------
% 0.18/0.50  % (386)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (386)------------------------------
% 0.18/0.50  % (386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (386)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (386)Memory used [KB]: 6140
% 0.18/0.50  % (386)Time elapsed: 0.099 s
% 0.18/0.50  % (386)Instructions burned: 13 (million)
% 0.18/0.50  % (386)------------------------------
% 0.18/0.50  % (386)------------------------------
% 0.18/0.50  % (385)Success in time 0.164 s
%------------------------------------------------------------------------------