TSTP Solution File: COL098-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : 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 15:52:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   40 (  22   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(subsumption_resolution,[],[f100,f16]) ).

fof(f16,axiom,
    member(pair(x,sk3),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).

fof(f100,plain,
    ~ member(pair(x,sk3),r),
    inference(resolution,[],[f85,f15]) ).

fof(f15,axiom,
    ! [X12] :
      ( member(pair(y,sk2(X12)),r)
      | ~ member(pair(x,X12),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).

fof(f85,plain,
    ~ member(pair(y,sk2(sk3)),r),
    inference(resolution,[],[f82,f25]) ).

fof(f25,plain,
    ! [X1] :
      ( member(pair(z,sk1(y,X1,z)),r)
      | ~ member(pair(y,X1),r) ),
    inference(resolution,[],[f11,f13]) ).

fof(f13,axiom,
    member(pair(y,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).

fof(f11,axiom,
    ! [X10,X11,X12] :
      ( ~ member(pair(X10,X12),r)
      | member(pair(X12,sk1(X10,X11,X12)),r)
      | ~ member(pair(X10,X11),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).

fof(f82,plain,
    ~ member(pair(z,sk1(y,sk2(sk3),z)),r),
    inference(resolution,[],[f71,f17]) ).

fof(f17,axiom,
    ! [X13] :
      ( ~ member(pair(sk3,X13),trancl(r))
      | ~ member(pair(z,X13),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).

fof(f71,plain,
    member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)),
    inference(resolution,[],[f70,f41]) ).

fof(f41,plain,
    ! [X1] :
      ( ~ member(pair(sk2(sk3),X1),r)
      | member(pair(sk3,X1),trancl(r)) ),
    inference(resolution,[],[f7,f35]) ).

fof(f35,plain,
    ! [X1] :
      ( ~ member(pair(sk2(sk3),X1),trancl(r))
      | member(pair(sk3,X1),trancl(r)) ),
    inference(resolution,[],[f30,f20]) ).

fof(f20,plain,
    member(pair(sk3,sk2(sk3)),trancl(r)),
    inference(resolution,[],[f14,f16]) ).

fof(f14,axiom,
    ! [X12] :
      ( ~ member(pair(x,X12),r)
      | member(pair(X12,sk2(X12)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(pair(X3,X0),trancl(X2))
      | ~ member(pair(X0,X1),trancl(X2))
      | member(pair(X3,X1),trancl(X2)) ),
    inference(resolution,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X8] : trans(trancl(X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).

fof(f9,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ trans(X8)
      | ~ member(pair(X7,X9),X8)
      | ~ member(pair(X6,X7),X8)
      | member(pair(X6,X9),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f7,axiom,
    ! [X8,X6,X7] :
      ( member(pair(X6,X7),trancl(X8))
      | ~ member(pair(X6,X7),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f70,plain,
    member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
    inference(resolution,[],[f44,f16]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ member(pair(x,X0),r)
      | member(pair(sk2(X0),sk1(y,sk2(X0),z)),r) ),
    inference(resolution,[],[f22,f15]) ).

fof(f22,plain,
    ! [X1] :
      ( ~ member(pair(y,X1),r)
      | member(pair(X1,sk1(y,X1,z)),r) ),
    inference(resolution,[],[f10,f13]) ).

fof(f10,axiom,
    ! [X10,X11,X12] :
      ( ~ member(pair(X10,X12),r)
      | member(pair(X11,sk1(X10,X11,X12)),r)
      | ~ member(pair(X10,X11),r) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n005.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   : Mon Aug 29 17:09:03 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (5481)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)
% 0.19/0.50  % (5494)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (5489)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (5485)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)
% 0.19/0.50  % (5492)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)
% 0.19/0.51  % (5498)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)
% 0.19/0.52  % (5490)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)
% 0.19/0.52  % (5504)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (5476)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)
% 0.19/0.52  % (5501)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52  % (5477)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)
% 0.19/0.52  % (5500)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52  % (5480)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  % (5479)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)
% 0.19/0.52  % (5478)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)
% 0.19/0.52  % (5484)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  % (5483)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (5484)Instruction limit reached!
% 0.19/0.52  % (5484)------------------------------
% 0.19/0.52  % (5484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5484)Termination reason: Unknown
% 0.19/0.52  % (5484)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5484)Memory used [KB]: 5373
% 0.19/0.52  % (5484)Time elapsed: 0.124 s
% 0.19/0.52  % (5484)Instructions burned: 2 (million)
% 0.19/0.52  % (5484)------------------------------
% 0.19/0.52  % (5484)------------------------------
% 0.19/0.52  % (5478)First to succeed.
% 0.19/0.53  % (5483)Instruction limit reached!
% 0.19/0.53  % (5483)------------------------------
% 0.19/0.53  % (5483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5483)Termination reason: Unknown
% 0.19/0.53  % (5483)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (5483)Memory used [KB]: 5500
% 0.19/0.53  % (5483)Time elapsed: 0.126 s
% 0.19/0.53  % (5483)Instructions burned: 8 (million)
% 0.19/0.53  % (5483)------------------------------
% 0.19/0.53  % (5483)------------------------------
% 0.19/0.53  % (5478)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (5478)------------------------------
% 0.19/0.53  % (5478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5478)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (5478)Memory used [KB]: 1023
% 0.19/0.53  % (5478)Time elapsed: 0.126 s
% 0.19/0.53  % (5478)Instructions burned: 6 (million)
% 0.19/0.53  % (5478)------------------------------
% 0.19/0.53  % (5478)------------------------------
% 0.19/0.53  % (5475)Success in time 0.185 s
%------------------------------------------------------------------------------