TSTP Solution File: SYN332-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n005.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 19:26:14 EDT 2022

% Result   : Unsatisfiable 1.37s 0.52s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   31 (  12   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(subsumption_resolution,[],[f82,f72]) ).

fof(f72,plain,
    ! [X3,X4] : f(X4,X3),
    inference(subsumption_resolution,[],[f71,f55]) ).

fof(f55,plain,
    ! [X4,X5] :
      ( ~ f(X4,X5)
      | f(X5,X4) ),
    inference(resolution,[],[f8,f44]) ).

fof(f44,plain,
    ! [X0] : f(X0,X0),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( f(X0,X0)
      | f(X0,X0)
      | f(X0,X0) ),
    inference(resolution,[],[f13,f16]) ).

fof(f16,plain,
    ! [X2,X3] :
      ( f(z(X2,X3),X2)
      | f(X2,X3) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( f(X0,z(X0,X1))
      | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(z(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),X1)
      | f(X0,X1)
      | f(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | ~ f(X1,X0)
      | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f71,plain,
    ! [X3,X4] :
      ( f(X3,X4)
      | f(X4,X3) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X3,X4] :
      ( f(X3,X4)
      | f(X4,X3)
      | f(X3,X4) ),
    inference(resolution,[],[f58,f13]) ).

fof(f58,plain,
    ! [X4,X5] :
      ( f(z(X4,X5),X5)
      | f(X4,X5) ),
    inference(resolution,[],[f55,f22]) ).

fof(f22,plain,
    ! [X2,X3] :
      ( f(X2,z(X3,X2))
      | f(X3,X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f82,plain,
    ! [X8,X9] : ~ f(X8,X9),
    inference(subsumption_resolution,[],[f77,f72]) ).

fof(f77,plain,
    ! [X8,X9] :
      ( ~ f(X9,X8)
      | ~ f(X8,X9) ),
    inference(resolution,[],[f72,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | ~ f(X1,X0)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:44:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.49  % (17636)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)
% 0.18/0.49  % (17644)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.50  % (17644)Instruction limit reached!
% 0.18/0.50  % (17644)------------------------------
% 0.18/0.50  % (17644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (17632)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (17642)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)
% 0.18/0.50  % (17652)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)
% 0.18/0.51  % (17645)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)
% 0.18/0.51  % (17642)Refutation not found, incomplete strategy% (17642)------------------------------
% 0.18/0.51  % (17642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17642)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (17642)Memory used [KB]: 5756
% 0.18/0.51  % (17642)Time elapsed: 0.118 s
% 0.18/0.51  % (17642)Instructions burned: 2 (million)
% 0.18/0.51  % (17642)------------------------------
% 0.18/0.51  % (17642)------------------------------
% 0.18/0.51  % (17636)Refutation not found, incomplete strategy% (17636)------------------------------
% 0.18/0.51  % (17636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17636)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (17636)Memory used [KB]: 5756
% 0.18/0.51  % (17636)Time elapsed: 0.123 s
% 0.18/0.51  % (17636)Instructions burned: 2 (million)
% 0.18/0.51  % (17636)------------------------------
% 0.18/0.51  % (17636)------------------------------
% 0.18/0.51  % (17639)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)
% 0.18/0.51  % (17644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17644)Termination reason: Unknown
% 0.18/0.51  % (17644)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (17644)Memory used [KB]: 5756
% 0.18/0.51  % (17644)Time elapsed: 0.114 s
% 0.18/0.51  % (17644)Instructions burned: 7 (million)
% 0.18/0.51  % (17644)------------------------------
% 0.18/0.51  % (17644)------------------------------
% 0.18/0.51  % (17652)Refutation not found, incomplete strategy% (17652)------------------------------
% 0.18/0.51  % (17652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17652)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (17652)Memory used [KB]: 1279
% 0.18/0.51  % (17652)Time elapsed: 0.125 s
% 0.18/0.51  % (17652)Instructions burned: 2 (million)
% 0.18/0.51  % (17652)------------------------------
% 0.18/0.51  % (17652)------------------------------
% 0.18/0.51  % (17646)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)
% 0.18/0.51  % (17639)First to succeed.
% 0.18/0.51  % (17660)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.51  % (17645)Instruction limit reached!
% 0.18/0.51  % (17645)------------------------------
% 0.18/0.51  % (17645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (17645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17645)Termination reason: Unknown
% 0.18/0.51  % (17645)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (17645)Memory used [KB]: 5756
% 0.18/0.51  % (17645)Time elapsed: 0.116 s
% 0.18/0.51  % (17645)Instructions burned: 3 (million)
% 0.18/0.51  % (17645)------------------------------
% 0.18/0.51  % (17645)------------------------------
% 0.18/0.51  % (17650)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)
% 0.18/0.51  % (17655)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)
% 0.18/0.51  % (17635)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)
% 1.37/0.52  % (17634)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.37/0.52  % (17639)Refutation found. Thanks to Tanya!
% 1.37/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.37/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.52  % (17639)------------------------------
% 1.37/0.52  % (17639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52  % (17639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52  % (17639)Termination reason: Refutation
% 1.37/0.52  
% 1.37/0.52  % (17639)Memory used [KB]: 5756
% 1.37/0.52  % (17639)Time elapsed: 0.109 s
% 1.37/0.52  % (17639)Instructions burned: 4 (million)
% 1.37/0.52  % (17639)------------------------------
% 1.37/0.52  % (17639)------------------------------
% 1.37/0.52  % (17631)Success in time 0.172 s
%------------------------------------------------------------------------------