TSTP Solution File: COL089-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL089-1 : 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 : n024.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 15:52:03 EDT 2022

% Result   : Unsatisfiable 1.36s 0.53s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  25   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f119,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f47]) ).

fof(f47,plain,
    member(z,comb),
    inference(resolution,[],[f38,f42]) ).

fof(f42,axiom,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce2_2h4) ).

fof(f38,axiom,
    ! [X8,X6] :
      ( ~ member(pair(X6,X8),contract)
      | member(X8,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_combD2) ).

fof(f118,plain,
    ~ member(z,comb),
    inference(subsumption_resolution,[],[f117,f39]) ).

fof(f39,axiom,
    member(r,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce2_2h1) ).

fof(f117,plain,
    ( ~ member(r,comb)
    | ~ member(z,comb) ),
    inference(resolution,[],[f115,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( member(comb_app(X0,X1),comb)
      | ~ member(X0,comb)
      | ~ member(X1,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros3) ).

fof(f115,plain,
    ~ member(comb_app(r,z),comb),
    inference(resolution,[],[f114,f12]) ).

fof(f12,axiom,
    ! [X6] :
      ( member(pair(X6,X6),rtrancl(contract))
      | ~ member(X6,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).

fof(f114,plain,
    ~ member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract)),
    inference(subsumption_resolution,[],[f112,f39]) ).

fof(f112,plain,
    ( ~ member(pair(comb_app(r,z),comb_app(r,z)),rtrancl(contract))
    | ~ member(r,comb) ),
    inference(resolution,[],[f96,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( member(pair(comb_app(X0,y),X1),rtrancl(contract))
      | ~ member(X0,comb)
      | ~ member(pair(comb_app(X0,z),X1),rtrancl(contract)) ),
    inference(resolution,[],[f35,f42]) ).

fof(f35,axiom,
    ! [X10,X11,X9,X12] :
      ( ~ member(pair(X11,X9),contract)
      | member(pair(comb_app(X12,X11),X10),rtrancl(contract))
      | ~ member(X12,comb)
      | ~ member(pair(comb_app(X12,X9),X10),rtrancl(contract)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_rls_4) ).

fof(f96,plain,
    ~ member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract)),
    inference(resolution,[],[f94,f43]) ).

fof(f43,axiom,
    member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce2_2h5) ).

fof(f94,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(r,p),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f67,f44]) ).

fof(f44,axiom,
    ~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce2_2c1) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] :
      ( member(pair(X0,X1),rtrancl(X2))
      | ~ member(pair(X0,X3),rtrancl(X2))
      | ~ member(pair(X3,X1),rtrancl(X2)) ),
    inference(resolution,[],[f37,f36]) ).

fof(f36,axiom,
    ! [X7] : trans(rtrancl(X7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_rtrancl) ).

fof(f37,axiom,
    ! [X10,X8,X6,X7] :
      ( ~ trans(X7)
      | member(pair(X6,X10),X7)
      | ~ member(pair(X8,X10),X7)
      | ~ member(pair(X6,X8),X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL089-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.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   : Mon Aug 29 16:53:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  % (6108)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.50  % (6115)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)
% 0.21/0.51  % (6116)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  % (6117)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (6118)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)
% 0.21/0.51  % (6124)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  % (6124)Instruction limit reached!
% 0.21/0.51  % (6124)------------------------------
% 0.21/0.51  % (6124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (6124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (6124)Termination reason: Unknown
% 0.21/0.51  % (6124)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (6124)Memory used [KB]: 5884
% 0.21/0.51  % (6124)Time elapsed: 0.003 s
% 0.21/0.51  % (6124)Instructions burned: 3 (million)
% 0.21/0.51  % (6124)------------------------------
% 0.21/0.51  % (6124)------------------------------
% 0.21/0.51  % (6119)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.51  % (6113)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52  % (6122)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)
% 0.21/0.53  % (6112)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  % (6130)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  % (6137)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (6116)Instruction limit reached!
% 0.21/0.53  % (6116)------------------------------
% 0.21/0.53  % (6116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (6116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (6116)Termination reason: Unknown
% 0.21/0.53  % (6116)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (6116)Memory used [KB]: 5884
% 0.21/0.53  % (6116)Time elapsed: 0.004 s
% 0.21/0.53  % (6116)Instructions burned: 3 (million)
% 0.21/0.53  % (6116)------------------------------
% 0.21/0.53  % (6116)------------------------------
% 1.36/0.53  % (6119)First to succeed.
% 1.36/0.53  % (6109)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.36/0.53  % (6131)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)
% 1.36/0.53  % (6119)Refutation found. Thanks to Tanya!
% 1.36/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.36/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.53  % (6119)------------------------------
% 1.36/0.53  % (6119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53  % (6119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53  % (6119)Termination reason: Refutation
% 1.36/0.53  
% 1.36/0.53  % (6119)Memory used [KB]: 5884
% 1.36/0.53  % (6119)Time elapsed: 0.112 s
% 1.36/0.53  % (6119)Instructions burned: 8 (million)
% 1.36/0.53  % (6119)------------------------------
% 1.36/0.53  % (6119)------------------------------
% 1.36/0.53  % (6107)Success in time 0.174 s
%------------------------------------------------------------------------------