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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_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 15:52:08 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   2 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f108]) ).

fof(f108,plain,
    member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)),
    inference(unit_resulting_resolution,[],[f37,f7]) ).

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

fof(f37,plain,
    member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
    inference(unit_resulting_resolution,[],[f13,f25,f10]) ).

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

fof(f25,plain,
    member(pair(y,sk2(sk3)),r),
    inference(unit_resulting_resolution,[],[f16,f15]) ).

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

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

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

fof(f149,plain,
    ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)),
    inference(unit_resulting_resolution,[],[f8,f26,f64,f9]) ).

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

fof(f64,plain,
    ~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)),
    inference(unit_resulting_resolution,[],[f31,f17]) ).

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

fof(f31,plain,
    member(pair(z,sk1(y,sk2(sk3),z)),r),
    inference(unit_resulting_resolution,[],[f13,f25,f11]) ).

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

fof(f26,plain,
    member(pair(sk3,sk2(sk3)),trancl(r)),
    inference(unit_resulting_resolution,[],[f16,f14]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 17:08:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (8985)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.51  % (8969)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (8977)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)
% 0.21/0.51  % (8977)Instruction limit reached!
% 0.21/0.51  % (8977)------------------------------
% 0.21/0.51  % (8977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (8977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (8977)Termination reason: Unknown
% 0.21/0.51  % (8977)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (8977)Memory used [KB]: 1279
% 0.21/0.51  % (8977)Time elapsed: 0.002 s
% 0.21/0.51  % (8977)Instructions burned: 2 (million)
% 0.21/0.51  % (8977)------------------------------
% 0.21/0.51  % (8977)------------------------------
% 0.21/0.52  % (8969)Instruction limit reached!
% 0.21/0.52  % (8969)------------------------------
% 0.21/0.52  % (8969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (8969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (8969)Termination reason: Unknown
% 0.21/0.53  % (8969)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (8969)Memory used [KB]: 5884
% 0.21/0.53  % (8969)Time elapsed: 0.119 s
% 0.21/0.53  % (8969)Instructions burned: 3 (million)
% 0.21/0.53  % (8969)------------------------------
% 0.21/0.53  % (8969)------------------------------
% 0.21/0.53  % (8987)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.53  % (8965)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)
% 0.21/0.53  % (8961)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53  % (8964)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)
% 0.21/0.53  % (8965)First to succeed.
% 0.21/0.53  % (8968)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)
% 0.21/0.53  % (8989)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)
% 0.21/0.53  % (8974)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)
% 0.21/0.53  % (8983)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53  % (8963)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)
% 0.21/0.54  % (8965)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (8965)------------------------------
% 0.21/0.54  % (8965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (8965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (8965)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (8965)Memory used [KB]: 6012
% 0.21/0.54  % (8965)Time elapsed: 0.131 s
% 0.21/0.54  % (8965)Instructions burned: 8 (million)
% 0.21/0.54  % (8965)------------------------------
% 0.21/0.54  % (8965)------------------------------
% 0.21/0.54  % (8960)Success in time 0.178 s
%------------------------------------------------------------------------------